diff --git "a/data/dm_maths/full_data/1554_11255.jsonl" "b/data/dm_maths/full_data/1554_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1554_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -23 + (103 - 57 - -18)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8259 and -0.118883.\nAnswer: -0.944783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*w - 24, 13*w - 8*w - 10*y = -60. Solve r - 2*i - 3*i = 12, -2*i - 6 = w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -6. Let d = s + 9. Let m(b) = b**3 - 7*b**2 + 4*b + 3. Let h(w) = -2*w**3 + 15*w**2 - 9*w - 8. Let y(k) = -3*h(k) - 7*m(k). Determine y(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (sqrt(1700) + 1)*-5)**2.\nAnswer: 600*sqrt(17) + 61225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m - 12*m + 22*m**2 + 22*m + 18. Let p be h(-8). Suppose -7*b = p - 8132. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104187*m**2 - 3*m**3 - 104187*m**2.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 88\/5 of a meter?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + m)*(-3 - m - 3 + 4).\nAnswer: -2*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/2, 0.237.\nAnswer: -1\/4, 0.237, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5759.084 litres in millilitres?\nAnswer: 5759084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -174, 49, 666, 1677?\n\"Answer: 197*j**2 - 368*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*p - 15*p + 137292. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/23, 498, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 586, -4, -12 in decreasing order.\nAnswer: 586, 10, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.20000036. What is s rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 14)*(1 - -3)\/(-12). Let q = 2.03 + -0.03. Let d = q + -2.4. Which is the nearest to 0.1? (a) d (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - -0.03. Let v = -0.36 - g. Put 4, v, 1 in descending order.\nAnswer: 4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/50*1125\/(-75)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfrdirfdrdt. What is prob of picking 1 t, 1 i, and 1 m?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 0.49.\nAnswer: -0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 454*d - 12. Let m = -87 + 88. List the prime factors of u(m).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1949*h - 3*h**2 + 628*h - 2*h**3 - 1 + 649*h + 0 + 635*h in the form m*h**2 + z*h + n*h**3 + s and give z.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:45 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54408 is divided by 27200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**3\/y)\/y*y)**(-6\/5))**9 assuming y is positive.\nAnswer: y**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 111010010000110111110100?\nAnswer: 111010010000110111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 16*l**2 + 20*l - 61. Let w be c(15). Suppose w*b + 7 = 7. Suppose -3\/5*m + 0 + b*m**2 + 3\/5*m**3 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.57 - -2.43. Which is the nearest to 0.3? (a) i (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51718142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 8*b**2 - 8*b - 13. Let m be q(6). Let o be (2\/2 - -8)*(m - 9). Solve -6 + o = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n**5\/3 + 20*n**4 + 58*n**3\/3 - 44*n**2\/3 - 24*n - 16\/3 = 0. Calculate n.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 8:52 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26255 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 4. Suppose -2*v + 2*o = 3*o + g, -3*v = -2*o - 9. Suppose 5*r + 2*c = 44, r + 5*c + 4 + v = 0. Solve m = -3*f + r, -f + 10 = m + m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 1. Let v(i) = -i**2 + 6*i + 1. Let a be v(6). Let q be (a - 1) + 0\/(-6). What is the units digit of m(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-92))\/(3\/(-6)). What is the closest to 3 in h, -0.2, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -441628 times 5\nAnswer: -2208140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 272\/24 - 4 - (12 - 5). Which is the smallest value? (a) h (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4083 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t**2 - 4*t + 4. Let n(f) = f**2 - f + 1. Determine 20*n(u) - 5*w(u).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/21 + 80*l**2\/21 - 82*l\/21.\nAnswer: 2*l*(l - 1)*(l + 41)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (-1 - (-1 + 149)). Let q(c) = -c**2 + 6*c - 6. Let s be q(6). Find the common denominator of 37\/16 and (-3)\/o*207\/s.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. What is the third derivative of 9*q**2 - 3*q**4 + q**t - 6*q**2 wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 1}. What is prob of picking 1 r and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 3*o**4\/4 - 103*o**3\/2 - 2395*o**2 - 1. Calculate y(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127877.01 months to centuries.\nAnswer: 106.564175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 10. Suppose 6 = 4*x - 2. Solve -3*j - x*j - 3*v = -3, 4*v = f*j - 22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 37*v**2 + 19*v + 5960. Calculate i(-32).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3273 + 465 = -13*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108 + 1 + -37 + (99 - 100).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 290\/(-1 - (-45)\/35). Suppose 4*u + 4*t = -0*u - 1020, 4*u = t - h. Let o = 384 + u. List the prime factors of o.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.663 from -3.\nAnswer: 1.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76139 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 752266*y + 860636*y - 585253*y + 953839*y.\nAnswer: 1981488*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 11:19 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {y: 3, v: 1, a: 1, e: 2, z: 1, d: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 11:29 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t + 94. Let b be l(-19). Let c(y) = 2. Let w be (-6)\/((-6)\/9*-3). Let v(j) = -1. Let m(i) = w*v(i) - c(i). Let p(u) = 2*u + 4. Give b*p(s) + m(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5059*b**3 + 87*b**2 - 123*b?\nAnswer: -30354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b (base 15) to base 14.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -185 - -201.2. Let g = d - 16. Let i = 0.7 - g. Sort i, 2\/15, 1 in descending order.\nAnswer: 1, i, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -268 + 267.9914. What is s rounded to 4 decimal places?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**3\/3 + 6*o**2 - 15*o - 2. Let w be l(-13). Is ((-1)\/w)\/((-6)\/(-3084)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1047, -4175, -9389, -16689, -26075?\n\"Answer: -1043*s**2 + s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 99 = -3*z. Let b be ((-3)\/2)\/(4\/264*-3). Let k = z + b. Solve 0 = -k*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, -2, 4, -28, -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5 + j**2 + j**2 - j**3 + 5*j**2 - 4*j. Let p(u) = u**3 + 5*u**2 - 2*u - 18. Let g be p(-3). Calculate h(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -4 + 0 + 46 + -30 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 157, 180, 203, 226?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60082283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*g = -202, 2*k + g = 3*k - 50. Let r be (k\/(-9))\/(2\/6 - 1). What is the greatest common divisor of r and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + p**4 + 4 + (0*p**2 + 0*p**2 + p**2)*(3*p**2 + 1 - 1) + 7*p**4 - 3*p**4 + 0*p**4.\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 + 3*s - 5. Let h be l(-5). Let v(q) = -q - h - 4 + 2 + 4. Suppose -o - 6*i - 16 = -2*i, 0 = 3*o - i - 17. What is v(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 52 - 7344*q + 6539*q.\nAnswer: -805*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + 0.04. Let w = -0.95 - q. Round w to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 31 in ascending order.\nAnswer: -8, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 545 divide 425921315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c + 2*c**2 - 5 - 2*c - 10*c**2 + 12*c**2 + c**2. Let b be y(-2). Solve 2\/15*g**b + 8\/15 - 8\/15*g - 2\/15*g**2 = 0 for g.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from mmjhumk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 - -2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, l: 11}. Give prob of sequence llll.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 94, -246, -1476, -4040, -8382, -14946, -24176?\n\"Answer: -74*b**3 - b**2 + 181*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**4*((r*r*r**1)\/r)**(-25)*r*r*r**(-2\/11)*r*(r\/(r*r**(-2\/15)*r))\/r*(r\/(r\/(r*r*r**6))*r)\/r**(-2) assuming r is positive.\nAnswer: r**(-7598\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12.42 times 0.19\nAnswer: -2.3598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 less than 151768644729?\nAnswer: 151768644728.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let d(g) = -32*g**2 - 3. Determine c(d(r)).\nAnswer: 32*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, -11, -74 in ascending order.\nAnswer: -74, -11, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - 134*m**2 - 15*m - 173. Let x be v(66). Round x to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -1. Let s be 1 - (2\/u - -2). Which is smaller: -12 or s?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -56.736\nAnswer: -11.3472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/(v\/(v*v\/(v*((v**6\/v)\/v*v)\/v)*v*v))))*v*v)\/v)\/(((v\/(v*v\/(v\/v**(-5\/3))))\/v)\/v*v))**(-12) assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 27*b**2 - 6*b - 32. Is a(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2462 = 2*z, 2*r - 216*z + 211*z = 1195. Let x be 6\/(-15) + 204\/10. Calculate the highest common divisor of x and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71059891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 302311 less than 9193.6?\nAnswer: -293117.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 678 = 5*z, 5*o - 5*z + 277 - 3727 = 0. Let w = 736 - o. Solve -w = 2*a + 10*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*o - 88929, 6*z = 10*z - 4*o - 88936. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3580 + -58450584.13.\nAnswer: -58447004.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v + 117*v = 498 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**3 + i**2 - 3*i + 1. Let y(g) = -g - 1 + 7*g - g - 9*g**3 - 3*g**2. Let b be 2 + ((-132)\/55 - -6) + 6\/(-10). Determine b*c(x) + 3*y(x).\nAnswer: -2*x**3 - 4*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19978*j**5 + j**4 - 269*j**2 + 33*j wrt j.\nAnswer: -1198680*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**3 - 8*s**2 - 89*s - 321. What is the remainder when v(-5) is divided by 366\/8 - 3\/(-12)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = -10 + 60. Let z(t) = -443*t - 107. What is the tens digit of z(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 8. Let f be s(6). Suppose 16 = 5*q + 6. Find the second derivative of -v + 2*v - 3*v + 7*v**q - 3*v**f wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41849 and 0.0426.\nAnswer: 1782.7674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 - (-3 - -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(5)*-1 + (sqrt(450)\/sqrt(10))**2 - 2*sqrt(405).\nAnswer: -19*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -7 - (-1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a4 (base 12) in base 16?\nAnswer: 10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 2*d - 3. Suppose 0 = -3*m + 5*z + 13, m + 5*z + 7 = z. Let q be f(m). Which is the closest to q? (a) 0 (b) 0.03 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80920372 to the nearest ten thousand.\nAnswer: 80920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 5766.\nAnswer: 11532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 982.9733ug in milligrams?\nAnswer: 0.9829733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111 and 207127554?\nAnswer: 207127554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + 1 + 0 + 0 + (sqrt(208) - (sqrt(208) + 2)) - 2*-2*-3*sqrt(117).\nAnswer: -32*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - m - 17, -12951 = -5*c - 4*m - 12944 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 28 in increasing order.\nAnswer: 2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187)*-4 + sqrt(187) - (sqrt(187) - (sqrt(187) - (sqrt(187) + (4*sqrt(187)*-1 - sqrt(187))))))\/((sqrt(88) + -1*sqrt(88)*-4)\/sqrt(8)).\nAnswer: 13*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/7 and 151\/16908?\nAnswer: 118356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*w + 31624, -38437 = -2*t + 4*w - 6819. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 559, 1093, 2531, 5323, 9919, 16769, 26323?\nAnswer: 39031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f**5\/11 + 216*f**4\/11 - 950*f**3\/11 + 1280*f**2\/11 - 678*f\/11 + 124\/11 = 0 for f.\nAnswer: -31, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4063, 7765, 10543, 11935, 11479?\nAnswer: 8713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87358, 87442, 87622, 87946, 88462?\nAnswer: 89218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*y + 0)*(1 - 1 + 3)*(-1 + 1 - 2).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 17*j**2 - 52*j - 174. What is q(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (226\/(-5))\/(746\/(-9535745)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*r + 5*r - 17, r + 2*h - 9 = 0. Let o be (-48)\/36*r*-9. Let p be ((-9)\/(-42))\/(o\/(-16)). Which is the smallest value? (a) -3\/2 (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1703 - 68*g - 51*g + 177*g + 2956*g**2 - 60*g wrt g.\nAnswer: 5912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h + 112 = 0. Calculate the common denominator of ((-16)\/36)\/(4 - 238\/60) and (h\/12 + 0)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-24\/7)*k**(13\/6) assuming k is positive.\nAnswer: k**(-53\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m*x**5 + 126616*m*x**2 + 2*m*x - 1844777*m wrt x?\nAnswer: -80*m*x**3 + 253232*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 2093*z + 4185\/2.\nAnswer: (z - 4185)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 734 = 6*c - 3*c, 4*c - 972 = -4*z. List the prime factors of c.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-5*q**2 - 3*q**2 + q**2)*(-5*q**2 + 8*q**2 - 8*q**2) in the form i*q + x*q**4 + r*q**2 + a*q**3 + l and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1862))\/(3*sqrt(10)\/sqrt(5))*3.\nAnswer: 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/1865 - -1867\/3730. Which is smaller: v or -42\/17?\nAnswer: -42\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -13. Let j be u\/(3 + -3 + 1). Calculate the highest common divisor of j and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 904090 - 424336. Suppose 6*b - u = 126246. Round b to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Suppose -f*i = 56 - 226. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15625 by 24.\nAnswer: -15625\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -73855753?\nAnswer: 73855756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83822 is divided by 20916?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c + 4. Let p be w(-3). Let r(z) = z**2 + 35*z + 134. Let v be r(-31). What is the highest common divisor of v and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z. Let r(a) = a. Let n(w) = -2*o(w) + 11*r(w). Let h(f) = 13*f**2 - 1. Let m be h(1). Let x be 4 + m\/(-4) + 0. Calculate n(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 12.1. Let l = 4.1 + o. Let j = 210114 + -210113.9. Which is the third smallest value? (a) l (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 4. Let c be (-54)\/(-15) + 2\/5. Give h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 17 = -5*q + r, 0 = -3*q + 2*r - 13. Let w = -3549 + 24847\/7. Which is the third biggest value? (a) w (b) -2\/11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*d = -57467 + 57224 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 472 - 470. Determine u so that 2\/3*u + 4\/3 - 2\/3*u**t = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43233855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/4 (b) 2 (c) -12 (d) 0.5 (e) -0.3 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/6)\/((-6)\/(-18)). Suppose -y + 16 = -4*d, -s*y = d + 4*d + 41. Suppose -4*o + o - 15 = 0. Put 2, y, o in decreasing order.\nAnswer: 2, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -20*b**3 - 2*b + 1. Let w be x(1). Let d = 33 + w. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2\/(-16) - 1058\/(-184). Solve -460 + 478 = t*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-11\/4))\/r)\/r**(-11) assuming r is positive.\nAnswer: r**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b415 - 29?\nAnswer: 1b3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.5 + -10.6. Let y be (6\/2)\/(1 + -3). Put d, -1, y in descending order.\nAnswer: d, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97*k*p + 5*p + 2 wrt k?\nAnswer: -97*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11877 = 187*f + 9067 for f.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60610 divided by 22?\nAnswer: 2755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 12*l + 2. Let q(w) = -w**2 - w - 1. Let z(v) = -n(v) - 3*q(v). Calculate z(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2)*(u\/u**(-1\/2))\/u)\/((u**1*u)\/u)**(-38) assuming u is positive.\nAnswer: u**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -371 + -1424. Let z be 3 + -2 - c\/5. Suppose 4*j + 2*j = z. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kppppkpp. Give prob of sequence pkp.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111446179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - -12 - (-24 - -1). Let u be 1 - (2 + -1 + -8). Suppose 0 = m - x - u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 821 + 4910. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2883 and 5\/62.\nAnswer: 5766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**2 - 1073247*q + 1073247*q - 8. Let s(d) = 4*d**2 - 5*d + 5. Let x(k) = k**2 - k + 1. Let z(y) = -s(y) + 5*x(y). What is i(z(b))?\nAnswer: -8*b**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/43768 and -113\/65652?\nAnswer: 131304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3dba38 - 3?\nAnswer: -3dba3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/5 + -1\/15. Let p be (110\/(-132))\/(4\/(-6)). Put 2, j, p in ascending order.\nAnswer: j, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -57274, 4, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5846 = 2*n - 0*n, 2*z + 4 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6219954.\nAnswer: 2, 3, 13, 19, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8364 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2608*r - 455 + 455 - 27338*r - 11143*r.\nAnswer: -35873*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 12*n - 11. Calculate the smallest common multiple of v(-13) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 121. Calculate the greatest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -318\/5. Let q(c) = c**2 + 7*c. Let w be q(-7). What is the biggest value in 5, z, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/9))**(-43)*(s\/(s**(-4)\/s))\/((s*s**(-5\/9)*s)\/s))**38 assuming s is positive.\nAnswer: s**(5168\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 789235828?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:40 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/3*(5 + 6). Let t(w) = 2*w - 22. Let x be t(n). Suppose 6*j - 2*j + 4*z = 68, -3*j - 2*z + 56 = x. Calculate the lowest common multiple of j and 58.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -473283 by -81.\nAnswer: 5843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001567534 to six decimal places.\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*a - 22. Let n = -4 + a. Suppose -l = -n*l + 12. Solve u = -l + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 6 = 9*n. Suppose -x + 2*p + 5 + 4 = 0, 0 = -n*x - 3*p + 25. Calculate the highest common divisor of x and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244463210 divided by 12214\nAnswer: -20015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87094.\nAnswer: 2, 7, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hylz when four letters picked without replacement from hzldy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5779, 20046, 43801, 77044, 119775, 171994, 233701?\nAnswer: 304896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7856.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 15 = -2. Calculate the remainder when p is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*m - 60*m - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/19 - 435260*n\/19 + 5658718\/19 = 0. Calculate n.\nAnswer: -217643, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**4 - 404*d**3 - 846*d**2.\nAnswer: 24*d - 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.827 * 0.3.\nAnswer: 10.4481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 5*j**2 - 4*j. Let l be u(-5). Let h be (-5)\/(5\/(-4)) + 1. Suppose g + h*i = 3*g - 23, l = -4*i. Sort -5, 2, g in decreasing order.\nAnswer: 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14325972208 and 0.1059.\nAnswer: 14325972208.1059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(475)*-1*-3*3 - 3*3*(sqrt(76) + 1)).\nAnswer: -4 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16.3, 4, 0.5, -4, -2, 0.6.\nAnswer: -4, -2, 0.5, 0.6, 4, 16.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73164900 and 29265960.\nAnswer: 146329800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*k + 873620 = -115299, -2*z - 4*k = -395558. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*j**2*v**2 - j**2*v - 175*j*v**3 + 29*j*v - j + v wrt v?\nAnswer: 170*j**2 - 1050*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1184 + 591. Let b = -592 - m. Which is smaller: 0.06 or b?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53726 divided by -16235\nAnswer: 53726\/16235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -73?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 12 - 7 = 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 166*a - 8. Let w(u) = -111*u + 5. Let s(t) = 5*f(t) + 8*w(t). Let i(y) be the second derivative of y**4\/12 + 4*y - 3. Determine i(s(c)).\nAnswer: 3364*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 9*g + 6. Let a be f(5). Let z = 16 + a. What is the units digit of (-2590)\/(-50) - z\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(343)*-6 + -4 + (1 + sqrt(343) + sqrt(343) - sqrt(343)))**2.\nAnswer: 210*sqrt(7) + 8584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 - 7 = 4*i, 5*i = 3*r - 26. Suppose -2*s = -r*l - 56, 3*l - 32 = -2*s + s. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*l**2 + 85345*l + 246*l**2 + 1 - 85342*l in the form b + d*l + o*l**2 and give o.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241 + -237.98. Let f = c + -0.02. Let d = 2.935 - f. Round d to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.1526 rounded to one dp?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*f + 32 = 0, -36*f + 37*f + 4 = s. Let o(l) be the first derivative of l**4\/4 - 4*l**3\/3 + 5*l**2\/2 + 11*l - 1. Is o(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 4, e: 2, i: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(3*t + 7*t - 14*t + (-1 - 1 + 4)*(0 + 0 - t))*(-2 + 3 + 1).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.6 + -34. Is 0.1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/50 + c**4\/3 + 3*c**3\/5 + 12*c. Factor n(r).\nAnswer: 2*r*(r + 1)*(r + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14447 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.009, -2\/9, 0.3, 0.1, 15 in decreasing order.\nAnswer: 15, 0.3, 0.1, -2\/9, -1.009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -34*z. Let i(x) = -17*x - 250. Let n(d) = -108*d - 1575. Let r(m) = 63*i(m) - 10*n(m). Determine r(b(t)).\nAnswer: -306*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9244184*-0.5\nAnswer: 4622092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 20*k = -15*k - 19, 3*k = 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 21*o**2 - 20*o + 2. Let z be k(20). Suppose 0 = -z*b - 4*b + 78. Calculate the remainder when b is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4309791 and 4344?\nAnswer: 34478328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201106547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2130 (base 6) to base 8\nAnswer: -746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*n - n + 8, -a + 3*n = 14. Let b be 18\/a*(-35750)\/39. What is b rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 + 49955*o**2 + 124700135*o - 374550135 = 0. Calculate o.\nAnswer: -4997, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*z + 7, 5*m - 5 = -2*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 3971950.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/5 + 2374*x**4\/5 + 936102*x**3\/5 + 121330346*x**2\/5 - 511914032*x\/5 - 1501698552\/5 = 0. What is x?\nAnswer: -397, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 110*m**2 + 979*m - 6857. Give r(7).\nAnswer: 5386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1101 + -7760\/7. Let k = 1382819\/6 - 236582. Let y = k - -6091. Calculate the common denominator of y and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -44. Is ((-392)\/(-3) - 1)*c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.88666ug?\nAnswer: 0.00000188666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 9:50 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -25?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123 + 101211?\nAnswer: 100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 680, 696, 726, 776, 852, 960, 1106?\n\"Answer: x**3 + x**2 + 6*x + 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(4\/3)\/n*n)**(8\/3)*n**(-4\/25)\/(n**32*n))**(2\/11) assuming n is positive.\nAnswer: n**(-1102\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-21)*c\/(c\/(c\/(c\/(c*(c**0*c)\/c)))*c) assuming c is positive.\nAnswer: c**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/7 - -90\/91. Let b = 0.4 - 0. Suppose 11 = -5*l - 4. What is the third smallest value in x, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -15. Suppose n = -c - m, 4*n - c = 3*c + 20. Suppose 2*q - 179 = -b, b = -n - 3. Calculate the remainder when q is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:18 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/45 + (264\/54 - 1). Solve p + 2 = -4*k + 11, 5*p = q*k - 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103.6763 nanometers to centimeters.\nAnswer: 0.00001036763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119992605 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**5 + 3*w**5 + 3*w**5 + (0*w**5 + 2*w**5 - 4*w**5)*(1 + 0 - 2) - 18*w**2 - 4*w**5 - 19*w**4 + 18*w**4 - 28*w**2.\nAnswer: -w**5 - w**4 - 46*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z + 97 = -n, 0 = -5*z + n + 477. What is the remainder when z is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.19 and -53.9.\nAnswer: -53.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47672532 and -0.2.\nAnswer: -9534506.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1164 and 85263?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/24 + 30\/8. Suppose 0 = k*x - 822 + 130. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7857, 31133, 69827, 123939?\nAnswer: 193469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*r = -129*r + 88350. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w - 8. Let s be a(-3). Solve 7*u = 2*u + 3*z - 26, 2*u - z = -s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6627*h**6 + 5*h**5 - 2713*h**2 + 3*h - 76 wrt h?\nAnswer: -795240*h**3 + 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -15*a + 10. Solve -3*t + a*d = 5, -5*t - 3 = 5*d + 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -21*p**2 + 13*p - 26*p - 12 - 14 - 2*p**3 + 5. What is the remainder when o(-11) is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 87329416*f**2 + 523976604*f - 785964960.\nAnswer: -4*(f - 3)**2*(f + 21832360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/30*6*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 1\/6*f**3 - 1\/2*f**2 + 0 + 1\/6*f**4 - 4\/5*f**5 - 2*f. Let a be i(-1). Solve -d = 3*d + a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1129019, -4516060, -10161121, -18064196, -28225279?\n\"Answer: h**3 - 1129016*h**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from ggrrrr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10045, -42350, -96233, -171688, -268709, -387290?\nAnswer: -527425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 378*b - 382*b + 29 + 22*b + 307*b in the form c*b + t and give c.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 20, -13, -8 in ascending order.\nAnswer: -13, -8, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/10773 and -169\/735210.\nAnswer: 41906970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:50 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3848589, -2\/3, -3 in descending order.\nAnswer: 3848589, 2, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 103211112 (base 4) to base 3\nAnswer: 11002000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.0558 minus 397812?\nAnswer: -397817.0558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b - 3. Calculate m(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 3:16 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6258\/745*15\/(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/5)\/((-12)\/(-60)). Let v(b) = 21*b + 3. Let g be v(7). List the prime factors of (-2)\/(3*z\/g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**2 - 75520*b + 285163520 = 0. What is b?\nAnswer: 7552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 4)*(-36)\/(-10). Suppose -5*k + 145 = 5*x, 44 = -4*k + 5*x + 124. Let d = s + k. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - 2*n**3 + 3*n**3)*(-2 + 2 - 3*n) + 3*n**4 - 9*n**4 + n**4 + n**4 - n - 9*n + 2*n.\nAnswer: -7*n**4 - 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0644 - 9708989.\nAnswer: -9708989.0644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*k - 23*k - f - 691, -2*k + 262 = -4*f. Calculate the remainder when k is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99503 is divided by 9949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -145*p. Let c(m) = -580*m. What is 9*a(u) - 2*c(u)?\nAnswer: -145*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a second in milliseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 99? (a) -1\/8 (b) -0.03 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2176, -8786, -19830, -35308, -55220?\nAnswer: -79566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 - 133. Solve o = -11*d - 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 + (-5)\/40*0. Solve -2 = -2*w, -k*h + 1 + 7 = -2*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 2*t. Let d(h) = 6*h**2 + 10*h. Let b(v) = -2*d(v) - 10*s(v). Let f(r) = -10*r. Determine f(b(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 69*s - 106. Let x be o(-41). Suppose -x = -3*f - 5*u - 313, -1252 = -5*f + 4*u. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-13)\/6*3\/(-10) and (-23903)\/(-3710) + 7\/35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91746.1 - -91746. Let p = -8\/71 + 121\/1704. Let v be 1\/2 - 22\/12. What is the nearest to p in v, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8304?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1012890 and 30?\nAnswer: 1012890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112*y = -1125*y + 169 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 4*c**2 - 3*c + 2. Let w be y(3). What is the highest common factor of 3 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from dddoxvovxddddxvoxo.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 167978, 334761, 501544, 668327, 835110, 1001893?\n\"Answer: 166783*w + 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48328588?\nAnswer: 2, 7, 11, 173, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/3))**(1\/8)*p**25*p*p*p**(-9\/4) assuming p is positive.\nAnswer: p**(295\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71*m**3 - 3*m**2 + 1427 with respect to m.\nAnswer: 213*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5821 + -5818. Let y(q) be the second derivative of 0*q**d - 38*q + 21\/20*q**5 + 0*q**4 - 13\/2*q**2 + 0. What is the derivative of y(f) wrt f?\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1104?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176 - -103. Let m be (y*1)\/((-3)\/6). Let z = -92 + m. Calculate the greatest common factor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -30. Suppose -66 + b = -2*f. Calculate the highest common factor of f and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -366, 4, -1143, 0.4, 1\/5?\nAnswer: -1143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 645223502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -976635 divided by 1?\nAnswer: -976635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 583\/9 - 65. Let v = 1.4 - 1. Let q = -0.4 + 0. Sort g, q, v in decreasing order.\nAnswer: v, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.5. Let m = 115 - 111. Which is the nearest to p? (a) -2\/5 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605*g = 608*g - 36. Solve -4*q = 2*y - 18, -3*y - g = 3*q - 33 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + p**2 - 1. Suppose 15 = 5*g + 5. Let d be g\/8 - 3\/12. Let k = d - 1. Determine a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1700)*-2*1)**2 + sqrt(1700)).\nAnswer: 40*sqrt(17) + 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 3:55 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 5*g**2 - 5*g**2. Let i(t) = 7*t + 3*t - 5*t. Give i(l(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 4, o: 1, s: 7, i: 2, a: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 34*x + 1. Let n(r) = 19*r**2 + 3*r. Calculate w(n(k)).\nAnswer: 646*k**2 + 102*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -6. Suppose -l*x + 1295 = p - 565, 4*x - 1502 = 2*p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 21. Let t = 18 - 24. Let i(a) = -4*a. Let v(g) = -2*g. Determine f*v(k) + t*i(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1740751 (base 8) to base 13.\nAnswer: -14a532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 7. Let d = 14 - 11. Suppose -d*v = 3*s + v - 4, 0 = 2*s + v - 11. Calculate the remainder when l(12) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*s**5 - 21908*s**4 + 180748*s**3 + 213196*s**2 - 438324*s + 66312 = 0. Calculate s.\nAnswer: -921, -2, 1\/6, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9024 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2851*f = 2268*f - 2584 - 914 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79878 + 3*n - 45534 + 30671.\nAnswer: 3*n - 94741","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/21*-3*2\/38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/88)\/((-1)\/(0 - 2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfpt when four letters picked without replacement from tttfttptftttfppp?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**2 + 4*d**2 + 22 + 0*d + 0*d wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*p**3 + 812*a*p**2 + 410*a*p - a + 2*p**3 - 10*p**2 + 11*p - 4 wrt p?\nAnswer: 6*a*p + 1624*a + 12*p - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10060 by 2515.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a. Let v = 22 - 22. Let x be s(v). Find t, given that 0*t + 2\/11*t**5 + 0 + x*t**3 + 0*t**2 + 0*t**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -56\/149 (c) -2\/17 (d) -43 (e) -1 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9405 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5.02. Let b = o - 0.01999944. Round b to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1396719 meters in nanometers?\nAnswer: 139671900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-50))\/(-6)*(-12)\/6264*-135.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 291 and 3.\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*z + 2*u, 5*u + 19 = -2*z - z. Solve 4*t = -z*m + 26 - 4, 0 = -2*t + m + 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 + 41*i**2 - 8*i**2)*(-4 + 2 + 0) to the form u + j*i**2 + b*i and give j.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62 - -16?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 299873 or 299868?\nAnswer: 299873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 + 0*u**2 - 5*u**2 + (2*u + 0 + 0)*(18*u - 373 + 373) - 2*u**2 - u**2 + 7*u**2 to m*u + o*u**2 + g and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 34. Let w(y) = -y + 7. Suppose 3*u - 3*r - 45 = 0, -5*u + u = -r - 57. What is u*w(q) - 3*x(q)?\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let v be (-75)\/9*12\/104. Let i = v - -5\/39. What is the nearest to 1\/2 in 1\/2, m, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 12*x**2 + 14*x - 8. Let s be l(13). Suppose 2*m = 2*k + 66, -m + 2*k + 29 = s*k. Calculate the remainder when 149 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4 = 76. Let o be 3094\/153 + (-4)\/k. What is the greatest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9e0b (base 15) in base 12?\nAnswer: 174a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11*u. Let k(v) = 2*v**2 - 9*v + 9. Let p(c) = -c**2 + 4*c - 4. Let q(t) = -4*k(t) - 9*p(t). What is l(q(s))?\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14111 or 14124?\nAnswer: 14111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2590\/16159 + 8\/1243. Let s = -1 + -1. What is the closest to -1 in a, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 7. Let l(k) = -k**3 - 5*k**2 + 7*k + 9. Let x be l(-6). Suppose -x*w + 14 = -1. Give y(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6*s - 3236. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 5*n**9\/168 + n**6\/40 + 13*n**5\/5 + 360*n**2. What is the third derivative of l(y) wrt y?\nAnswer: 1800*y**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6477932 minutes in milliseconds?\nAnswer: 38867.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndp when three letters picked without replacement from ndfkdfknptfd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*g - 34 = -0*j, 2*j + 18 = g. Let n be ((-5)\/(-110))\/(2\/j). Put n, 2, 4 in ascending order.\nAnswer: n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-38329920)\/(-168))\/((-4)\/(-70)). Round s to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -11. Let n = 4.983 - -0.017. Let t = -6 + n. Put -0.1, t, d in decreasing order.\nAnswer: d, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-78*1)\/(-2). Let s be 19\/(-20) + (-8)\/p. Which is the closest to 2? (a) 2 (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(3\/27 - (-130)\/450). Solve -3*b - v*b = 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -23*i - 228. What is s(-12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 12*n**3 + 4*n + 3. Give v(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(((-4642)\/(-2110))\/((-4)\/370))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) -286\/9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c - 4. Suppose -3*v = -2*v + 5*l - 9, 0 = c*v - 2*l - 58. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10484 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 11 - 4)\/(-7)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.1493 years in months?\nAnswer: 4501.7916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 106 = 6. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15590935387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 7*j**2 + 8*j + 5. Determine v(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 877518, 1755037, 2632558, 3510081, 4387606, 5265133, 6142662?\n\"Answer: u**2 + 877516*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 17. Let f be s(24). Suppose -5*r - f + 272 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 273770, 273768, 273766, 273764, 273762, 273760?\n\"Answer: -2*c + 273772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 10*l + 23. Let q be j(-3). Let r = 1 - 0.6. What is the closest to q in -3\/5, r, -5\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 33 - 34 = 0. What is the closest to y in -2, -6, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12438, 99650, 336420, 797544, 1557818, 2692038?\n\"Answer: 12466*s**3 - 17*s**2 + s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 1. Calculate k(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 215171774, 215171776, 215171778?\n\"Answer: 2*a + 215171772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 3, 0.22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 - 178. Solve 3*i + 2*i + 20 = h, 3*q + i - 11 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22019*v**6 + 6*v**2 + 70 wrt v?\nAnswer: -2642280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/9 - 400730*b**3\/9 - 6691088992*b**2\/3 - 2230318472*b.\nAnswer: -2*b*(b + 1)*(b + 100182)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335247 is divided by 340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41\/2 of a century?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/21)*x)\/x*x*x**(2\/5))\/(x\/(x\/x**(-4\/3)*x*x*x)*x**(-1\/4)) assuming x is positive.\nAnswer: x**(991\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3365.\nAnswer: 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*k*o*z - 7*k*v**3*z**2 - 2*o*v**3 + 5*o*z**2 + 4*v**2*z**2 wrt o?\nAnswer: -9*k*z - 2*v**3 + 5*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112459*a**2 + 114984*a**2 - 213*a**3 - a**4 - 4*a**4 wrt a?\nAnswer: -120*a - 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 3. Is q(7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**4\/4 + 10*r**3\/3 + 6*r**2 - 24*r - 629. What is j(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*z + 40 = 159*z. Let m = 3 + -3.6. Let u(l) = -5*l + 91. Let b be u(20). What is the closest to b in m, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.208269978 + -18.6?\nAnswer: 148.608269978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 149049225 and 114653250?\nAnswer: 1490492250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) - 18\/(-12). Let f be -1 + (-3 - (-7)\/m). Solve q + q - f*h = -14, 0 = 4*q - 5*h + 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.4782 rounded to 1 dp?\nAnswer: 27.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 192.493076 + -627\nAnswer: -434.506924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 155 and 2756 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -174*(-66)\/(-132) + 25.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j - 7. Let v be q(-7). Suppose -k - 3*g + 78 = -v, 0 = 3*k + 4*g - 381. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -h - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 5:17 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -28 - 4*b**2 + 24 - 3*b + 2*b**2 + 0*b**2 - 6*b. Let f(c) = 2*c**2 + 10*c + 5. Give 4*f(d) + 5*r(d).\nAnswer: -2*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - y - 15*y**3 + 9*y**3 + 3*y**3 + 5*y - y**4 - 4*y**2 + 2 to the form a + w*y**4 + g*y**2 + f*y**3 + i*y and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80)\/760 - (-99)\/(-114)*4462. Is -3875 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5873544 - 1116544. What is q rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*y + 8*y - 200. Let v be 5 - (y\/(-90) - (-64)\/(-45)). Suppose 2*r - 9 = 5*b, -3*b + 2 = -1. Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10458747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 168910\/(-62230)*2\/(4\/(-7))\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 203241, 813089, 1829553, 3252633, 5082329?\n\"Answer: 203308*d**2 - 76*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3189955\/72 + 44307. What is the common denominator of 83\/21 and u?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 5*s**2 + 5*s - 8. Let w be z(4). Suppose -3*d + 99 = 3*u, 3*d - 47 = 5*u + w. Is (-6)\/4*-86 - d\/17 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22625243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -371282*o**5 - 1689*o**3 + 99*o**2 - 828*o + 15 wrt o?\nAnswer: -22276920*o**2 - 10134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(171\/12)*27\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -194. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2981 = 1794. Let i be (-1)\/(-4) - d\/20. Calculate the highest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*f + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.015 - -0.0150084. Round o to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 6. Let a = 33 + -36. Suppose -i + 3*i = 8*k - 4*k - 16, 0 = 4*i. What is the biggest value in p, a, -7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2394140 divided by 490.\nAnswer: 4886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -260 + 258. Let q be 4\/114*(-2 - 1). What is the biggest value in 2, j, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 389, 888, 1385, 1880?\n\"Answer: -p**2 + 502*p - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -139, -141, -145, -151, -159?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1452 and -75\/308?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37\/12 + 11\/4. Let q = 0.041 + -9.841. Let h = 10 + q. What is the nearest to h in -1\/4, t, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161989 + 161988 + 161988 - c - 21*c**2 - 485965.\nAnswer: -21*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6618367 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -701330, -701325, -701320, -701315, -701310, -701305?\n\"Answer: 5*z - 701335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:42 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08896 + -0.91104. What is the nearest to a in -1, -4, 0.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 211 + -209. Let p(n) = -2*n**2 + 4*n**a - 5*n**2 + 2*n**2. Let y(i) = 468*i**2. Determine p(y(o)).\nAnswer: -219024*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3468.4500735 and 5115?\nAnswer: 8583.4500735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = 3*g - 15, 3*g = -2*h + 15. What is the nearest to 0.1 in h, 8, 2\/7, 5\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4454 - 4436. What is the lowest common multiple of r and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7176 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + 94 - (0 + 12) - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2. Let i(u) = -23*u + 6. Let c(h) = -46*h + 10. Let s(p) = 6*c(p) - 11*i(p). Let t(o) = -o + 3. Let d(k) = -s(k) - 2*t(k). What is d(q(n))?\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.0244, -2\/67, -4?\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, 4\/12041, -106 in increasing order.\nAnswer: -106, -0.3, 4\/12041, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26540*f + 3*x - 61 = -26535*f, 4*x = 4*f + 76 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + 2*sqrt(72) + sqrt(72) + -4)**2 + ((sqrt(1458) + sqrt(1458)*-1 + -4)*-5)**2.\nAnswer: -144*sqrt(2) + 1064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 112226 divided by 2\nAnswer: 56113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.16 - -0.16. Let d = 9 + a. Is d less than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, s: 1, y: 4, d: 4, f: 3}. What is prob of picking 1 y and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 12. Let d be (-7878)\/1865 + (-1)\/v. Let h = 9\/373 + d. Calculate the common denominator of 87\/2 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -13 - (36 + -31)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 4*h**2 + 22*h + 11. Let u be o(-7). Solve 0 = 3*m + 5*k - 27, -2*m + 53 - 33 = u*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = y, 3*y - n - 10 = -5*n. Suppose -y*v + v = 7. Let a(q) = -q**2 - 7*q - 2. Let o be a(v). What is o rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/16*28\/35.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*k - 7 = -2, -25 = -2*j + 3*k. Differentiate -q**3 + j*q - 5*q - 6 + 5 wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(300) - 1*(sqrt(3) - (sqrt(3) + -1)))*3 + -2.\nAnswer: -60*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3490 + 3489.68. Which is the biggest value? (a) g (b) -0.4 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-26) - 121604\/5252)*1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7327510, -14655024, -21982538, -29310052?\n\"Answer: -7327514*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -83*s**3 - 91*s**2 - 6*s - 6. Let g(p) = -p**3 + p**2 + p + 1. Let h(i) = -6*g(i) - u(i). What is the third derivative of h(m) wrt m?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-657)\/(-5110))\/(6\/5))\/((-9)\/(-60))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9151210 to the nearest integer?\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Let c be j - 2*1\/2. What is the units digit of (33\/6 - c)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i*k**3*q + 2*i*k**2*q - 13*i*k*q + 4*i*q - 192*k**3*q - k**2 wrt k.\nAnswer: 24*i*q - 1152*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24192 and 111132?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16430 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 2*o - 2*k, -2*o - 4*k - 6 = 0. Solve o*j = 7*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 59 = 6*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1666)*-6)\/(sqrt(8)\/sqrt(4)*-3*-5).\nAnswer: -28*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*x**2 + 3*x - 42*x**2 - 1268*x**3 + 106*x**2 - x**4 - 35*x**2 - 2*x - 1 to z + m*x**3 + k*x**2 + h*x**4 + d*x and give m.\nAnswer: -1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -185 divided by 13\nAnswer: -185\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*m + 1 = z, -z = -2*m - 1. Let d be z\/((-1)\/4) - -2. Let s be 3\/((-5)\/d - 1). Solve -2*t + t = -s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -268, -894, -2112, -4120?\nAnswer: -7116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 4:07 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39309, 78610, 117911, 157212?\nAnswer: 196513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/14011 or 2\/3?\nAnswer: -3\/14011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10755, -21347, -31939, -42531, -53123?\nAnswer: -63715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 4*t - 40. Let z be p(9). Suppose -35 = -2*m + 3*c, 2*c = -z*m - c + 35. Let y be 6\/(-9) + 92\/3. Solve -4*f + 23 = x, f + m - y = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-2 + 2 - z)*(8*z**3 - 5*z**3 - 16*z**3 + (-1 + 1 - 2*z)*(z**2 + z**2 - 3*z**2) - 1 - 2*z**3 + 1).\nAnswer: 26*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 3\/7, 0.2, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/2 - 22\/(-6). Let c = 8.0532 + -10.0532. Let x be 2 - 4 - (-20)\/11. What is the fourth biggest value in x, g, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-5 - (15 + -18))) + 32\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 401, 861, 1317, 1769, 2217, 2661, 3101?\nAnswer: 3537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 29*x - 388. Determine m(12).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 + -14213?\nAnswer: -14135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 325700*q. Let k(p) = 11*p**2. Determine k(f(d)).\nAnswer: 1166885390000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*s + 8. Suppose 3*k = s*y - k + 83179984, 3*y + k + 124770004 = 0. What is y rounded to the nearest one million?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-34))\/(31*(-35)\/4340)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 9. Let k be z(-8). Suppose 5*x - k = 70. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**3\/4 + 1537*p**2\/2 + 601649*p\/4 + 149644 = 0.\nAnswer: -2864, -209, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 354 + -162. Suppose -198*p = -v*p - 648. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4455) + sqrt(4455) + sqrt(4455))\/(sqrt(15)\/(sqrt(6)\/sqrt(2))) + sqrt(704) + 1 + 5 + -3*(-1 + sqrt(704)).\nAnswer: 9 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 186*q + 2968. Determine k(-19).\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-14))\/q*q)\/(q\/(q**(4\/11)\/q*q*q)) assuming q is positive.\nAnswer: q**(-128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -25. Let d be ((-2)\/(-3))\/((-2)\/(-9)). Calculate the remainder when l is divided by 1 - (-2 - (d + 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4288 is divided by 4280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -873, -2941, -6969, -13611, -23521?\nAnswer: -37353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 + 72. Let j be 0 + 0 - 8\/12. Suppose 5*i + 3 + 7 = m, -m = 2*i + 4. Which is the third biggest value? (a) m (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4805.3 + -8.\nAnswer: 4797.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a gram in milligrams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000968537 rounded to seven decimal places?\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/6 - ((-913)\/66 - -3). Let z(q) be the third derivative of q**5\/60 - 11*q**4\/24 + 5*q**3\/6 - 95*q**2. Determine z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 12 + 7 + 1 + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8276*j + 5772*j + 134971 = -108124 + 90351 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140772671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**3\/3 - c**2 - 3*c. Let l be w(7). Let t = l + -1. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z - 3. Let q(d) = 4*d**3 + 27*d**2 + 14*d - 20. Let k be q(-6). Determine u(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.66562 from -348.\nAnswer: -350.66562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 858\/(-77))\/(8\/4)*7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 3*a + 12. Suppose 4*u - 16 = 0, a*u - 56 = -4*r - r. Suppose -2*b - 2*i = -4, -b + i - 4 = -i. Solve -2*d + b = -r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 2*n**3 + n + (2*n - n**2 - 2*n)*(-2*n + 3*n + 0*n) - n**3 + 6*n**3 - 3*n**3 + (4*n - 4*n - 4*n)*(-n**2 + 0*n + 0*n) + n**3 + 2*n**3 + 0*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1609835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 903*u**2 + 435*u**3 - 484*u**2 + 895*u**2 wrt u?\nAnswer: 2610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 1923684.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -3 - 6*(-5 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042063642 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*p**2 - 18752165*p - 9376080.\nAnswer: -5*(p + 1875216)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = -12. Let s = 89 + j. Suppose 4*d = 2*v - 5*v + s, 2*v + 24 = 2*d. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 3*v**2 - 2 - 16*v**3 + 875*v**4 + 2*v**2 - 873*v**4 + 8*v + 8*v**3 as i*v**3 + c*v**2 + m + t*v**4 + g*v and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3129535703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/5 - (-7)\/35 - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 11 - 4*j**2 - 9*j + 2*j**3 + 6 + j**3. Is d(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*p**3*y**2 - 2*p**3 - p**2*y**3 - 2*p*y**3 + 265*y**3 wrt p.\nAnswer: 510*p*y**2 - 12*p - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 469*a*d*l + 1353280347*a*d - 12387*a*l - 2*d*l + 9*l with respect to l.\nAnswer: 469*a*d - 12387*a - 2*d + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34909269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -116. Let y(m) = 18*m**3 + m**2 + m. Let h be y(-1). Let t = h + l. Calculate the highest common divisor of t and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 670228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/7 + 1364*w**4\/7 - 222172*w**3\/7 + 10803760*w**2\/7 - 2992350*w + 1480500 = 0 for w.\nAnswer: 1, 105, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32328544 and 9509?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95481*v**5 - 13578*v**2?\nAnswer: 5728860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6696569598.\nAnswer: 2, 3, 229, 4873777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 3 + 3*g**5 - 5*g**5 + (9*g**4 + 9*g - 9*g)*(148*g - 517*g - 107*g).\nAnswer: -4286*g**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3957, 5147, 6337, 7527, 8717, 9907?\n\"Answer: 1190*g + 2767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6839\/22 - -311. Calculate the common denominator of v and -149\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1275 and 186915?\nAnswer: 934575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, -62, -4 in decreasing order.\nAnswer: 5, 3, -3, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 14130 = 12*t - 14142, -t + v = -5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36.32447 times 0.5\nAnswer: 18.162235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 76*l**2. Let y(m) = -3552*m**2. Give g(y(r)).\nAnswer: 958869504*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*r - 58 = 459 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -846469?\nAnswer: -846469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4782533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 34*c**3 - 59*c**3.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 213*g - 1133. Let t be c(-76). Let h(s) be the first derivative of s**4\/4 - 2*s**3 - 7*s**2\/2 + 3*s - 1. Determine h(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25125627809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {b: 1, f: 1, k: 2, t: 2, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqq. Give prob of picking 1 w and 1 q.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 2*o**4 + o**4)*(-7*o + o + 3*o) + 3 + 2*o**5 - 3.\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3914*g**2*s**4 - g**2*s**2 - 5*g**2 + 13*g*n*s**2 + 6*n*s**3 - s**4 + 378*s wrt s.\nAnswer: -93936*g**2*s + 36*n - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24, 2, 0 in decreasing order.\nAnswer: 3, 2, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 203)\/(0 + -2). Let m = r + -84. Suppose -2*u + 4*n = -750, m - 7 = -4*n. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137999376?\nAnswer: 2, 3, 233, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - w + 1 - 6 = 0, -5*w = 3*f - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 695073 by 6.\nAnswer: 231691\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l**3 + 3*l**2 + l - 2. Let m be k(-2). Suppose 0 = a + 2*a - m. What is the remainder when a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -12101?\nAnswer: 12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 1, j: 2, m: 1}. What is prob of sequence jj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = -2*d + 9*j - 9, 3*d + 2*j = -1. What is the third smallest value in 0.4, d, 0.16, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**2\/15 + 820*t\/3 - 5520 = 0.\nAnswer: -2070, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 0, -2\/295, 5 in decreasing order.\nAnswer: 5, 1, 0, -2\/295, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280*t**2*w**3 + 3*t**2*w - 2*t*w - 16 wrt w?\nAnswer: 1680*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 21*i - 1. Give x(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 4*b - 5 - 7, -4*m = 4*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 1\/6*y**4 + 0*y**3 - 1 - y + 0*y**2 - 2\/5*y**5. Let l(h) be the first derivative of p(h). Determine c, given that l(c) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269550896.\nAnswer: 2, 3, 41, 645097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1875*i - 2. Let c(u) = -4210*u**2. Calculate w(c(d)).\nAnswer: 7893750*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**6\/360 + j**5\/10 - 5*j**4\/6 - 100*j**3\/9 + 339*j**2. What is w in z(w) = 0?\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q - q)*(-2 - 1 + 4) - 4*q + 2*q + 3*q + 21 - 327*q + 328*q + 1 + (-1 + 5 - 1)*(-q + 5*q - q).\nAnswer: 12*q + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - v - 16 = 0, -5*v - 51 = 5*w - 16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 102221?\nAnswer: -102231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7562 + -86327. What is h rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 346*w = 8352 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/7))**46\/((u*u**19)\/((u*u**(-7))\/u)))**(-3\/11) assuming u is positive.\nAnswer: u**(-261\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (-3*sqrt(13)*-2 - (1 + 2 + sqrt(13) + sqrt(13)))).\nAnswer: -12*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.2, -3, -3508, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/300 - 2\/(-15). Put 0.3, g, -4, 0.1 in ascending order.\nAnswer: -4, 0.1, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58248.934 + 58306. Let b = p - 0.066. Let q = -2.3 + 2.4. Is q != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100903\/4 + 2396472\/95. Calculate the common denominator of c and 65\/38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, o: 3, r: 1}. Give prob of picking 3 h and 1 r.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -190*y + 665 - 3705 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 655 - -5800. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejei when four letters picked without replacement from {d: 1, e: 8, i: 1, j: 2, h: 2}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033108.\nAnswer: 2, 258277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3340 or 3312?\nAnswer: 3312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328970828 is divided by 1861?\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-4)\/(-2))\/2). Let p be (-2 - -2) + (-2)\/(-1). List the prime factors of ((-1)\/p)\/(y\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*1)\/((-108)\/2484). Solve -26*d + y*d - 12 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 2*l - 100. Suppose -v + 65 = 3*j - 0*v, v = 4*j - l. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(300) + (sqrt(300) - 6*sqrt(300)*-1) + (1*sqrt(300) - sqrt(300)) + -5 - 3*sqrt(300)*2*4*-2)**2*-2.\nAnswer: -1881608 + 4480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35706093, 35706086, 35706079, 35706072?\n\"Answer: -7*t + 35706100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.0609397 rounded to 3 dps?\nAnswer: 33.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/(-3))\/(-5) + 3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3675 and 270.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**3\/6 - z**2\/2 - 4*z. Let f(d) = -9*d + 8. Calculate -3*f(c) - 24*q(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 122639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 1921533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 410, 1346, 3136, 6056, 10382?\nAnswer: 16390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3\/(-1) - 4675\/(-1155)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/14 + 5 - 4)*(-1 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 7 = -143*i + 146*i, 5*m - 23 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 2*a. Let x be k(2). Let g be (-2)\/4 + (-2)\/x. Suppose -3 = -i - g. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 119900 to the nearest one thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 + -229337080?\nAnswer: -229337080.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1 - (1874 + -1842)) + 151?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17\/91 + 5\/13. Let h = -8.54 - -0.34. Let w = 8 + h. What is the nearest to 2 in o, 0.4, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3877906 and 584?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 2*n**2 + 17*n + 39. Let s be y(-4). Let o(t) = -8*t + 15. Calculate o(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 3146583?\nAnswer: 6\/1048861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - 8*r + 13*r)*(-24*r**4 - 10*r**4 - 2*r**4).\nAnswer: 36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**10*m\/m**(-6) assuming m is positive.\nAnswer: m**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, -0.5, -46, -2, 5, -1\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4805283152*v - 4805283152*v + 4*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85126.89 litres?\nAnswer: 85126890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**3\/3 - 7*r**2\/2 - 2*r + 6. Calculate n(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110111110101101 - -10010100010?\nAnswer: 100111010001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -30*m**2 + 1. Let u(s) be the third derivative of s**6\/360 - 3*s**4\/8 + 11*s**2. Let v(d) be the second derivative of u(d). Determine v(f(n)).\nAnswer: -60*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.142494 >= -189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*j**5 + 5*j**5 - 15*j**5)*(-5 - 7 + 4) - 23*j**5 + 16*j**5 - 19*j**5.\nAnswer: 286*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4757618 = -62*m + 5097187 + 25759235. Round m to the nearest 10000.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013335 to seven dps.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00060168 rounded to 5 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -221 - -122. Let u(h) = 14*h + 3. Let m be u(-3). Let a = m - x. What is a rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130301 - 2?\nAnswer: 2130233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -185. Suppose -5*v - 2 = -a. Suppose -h + v = -0*h. Solve -w + 5*w = -h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.204 - 357.2\nAnswer: -357.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42721 != 42701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/((-1)\/(-12)). Find the second derivative of -s**2 + 6 + 2*s - b wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89306?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58939765 rounded to 3 dps?\nAnswer: -0.589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56 - 8 - 7)*(-4562 + 4562 - 231*x) to the form c + h*x and give h.\nAnswer: -9471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 1264460.\nAnswer: -1264430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 - 345\/2. What is the third smallest value in 3\/17, -0.06, f, 5?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2454 (base 6) in base 13?\nAnswer: -37c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 8*j + 5*p + 15, -4*p - 21 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -31. Let j be (-6)\/4*12\/f. Is j + (-2 - 817)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-27)\/6)\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/13)\/q**(-1\/3)*q*q*q\/q**(2\/3)*q*q**(-4\/5))\/((q*q*q\/q**(-1\/5))\/(q\/(q**(-2\/7)\/q)*q)*q**(-1\/6)\/(q**(-6)\/q)) assuming q is positive.\nAnswer: q**(-2203\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 5)*5*-5. Let k = -13 - j. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3814 - 83?\nAnswer: 3721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 1)\/(-3)*-5. Suppose 3*g + 650 = 5*i, g - r = 3*g. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 149 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**2 + k**2 + 4*k**2 + 3*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 8891294?\nAnswer: 17782588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4397309\/186 + -23641. Find the common denominator of r and -101\/60.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4)*2) + (3*sqrt(33))\/sqrt(11) - (-4 + (-6*(sqrt(108) + 0) - sqrt(108))).\nAnswer: 4 + 91*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 31 + -20 - 1\/((-2)\/(-40)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -315, 14, 3, 0, 7, 10 in ascending order.\nAnswer: -315, -1, 0, 3, 7, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 220.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11909?\nAnswer: 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188580 rounded to the nearest 10000?\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(2 + sqrt(12)\/sqrt(6)*3)*1 + -2.\nAnswer: 11 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Let m(a) be the third derivative of 13*a**5\/60 - 2*a**2. Determine m(r(u)).\nAnswer: 52*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 5. Suppose -3*f + 4 = 10. Let d be 2 + (-5)\/(5\/f). Suppose b = d*l - 5, 3*b = 2*l + 5*b + 10. Give t(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.97 + 4.34. Let q = 14.4 + -13. Let g = q - n. Round g to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*q**2 - 7*q**3 + 366*q**2 + 8*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -10)*4\/(-14). Suppose 0*u = -s*u + 186. What is the units digit of 1\/(-6) - u\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -237806, -237837, -237868?\n\"Answer: -31*w - 237775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/10*2\/(-3). Let h be (r - 2)\/((-2)\/42). Let o = h - 10. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 676.4 + -676.3. Which is the biggest value? (a) 2\/41 (b) i (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189\/8 or 24?\nAnswer: 189\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*r + 3 = 0, z - 2*r = -2*z + 13. Which is the closest to 0.2? (a) 0.1 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2415517543 to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h - 56255 - 36*h**2 + 6*h + 56253.\nAnswer: -36*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 5*g**2 + 3*g - 2. Let y = -3 - 1. Is c(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 5\/3*i**3 + 0*i + 0*i**2 + 138. Let k(o) = -25*o**2. Determine r(k(l)).\nAnswer: 3125*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:07 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -83 + (3264\/(-144) - -97)\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23792412?\nAnswer: 2, 3, 7, 29, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3213 - 1?\nAnswer: -3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 430201 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 227, 317, 385, 425, 431?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 316 = -26. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2115, -2114, -2113?\n\"Answer: w - 2116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1021\/6 - 417\/2. Let x = l - -39. Determine m so that -x*m**5 + 0 + 0*m**3 - 2\/3*m**4 + 0*m + 0*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/313708800 and 107\/12.\nAnswer: 313708800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u**3 - 12*u**2 - 15*u - 6. Let f(m) = 7*m**3 - 11*m**2 - 13*m - 5. Let a(c) = -6*b(c) + 7*f(c). Let d be 1\/3 + (-56)\/(-12). What is a(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/12 and -121\/600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((9152\/(-3432))\/(154\/15))\/((-7)\/(245\/(-10)))\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*s = -180, 3*y + 1 = s + 117. Suppose -3*n = n + y. Is 8 a factor of (3 - n) + (-1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-2*10\/(-8) - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 586 = 3*r, -4*u - 4*r + 491 = r. Suppose 4*y - 3*y = p + u, 3*p = 3. Let k = -17 - -47. What is the highest common divisor of y and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 + 9*a**2 + 1392*a + 6973. Calculate r(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 6:43 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 1, 8, 0, 478?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16561 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.049 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11237117.\nAnswer: 11237117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfvqggg. What is prob of picking 1 v and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 + 3*o**2 + 7*o. Let i(m) = -2*m**3 - 2*m**2 - 5*m. Let c(j) = 5*a(j) + 7*i(j). Let y(t) = 3*t**3 + 2*t**2 - 2. Determine 2*c(h) - y(h).\nAnswer: -h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34933*f + 20 = m + 34930*f, 5*m - 5*f - 40 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 61, 114, 183, 268?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5950 * -0.3.\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from jujjijiuviijiivui.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*k + 4*r, -k + 1918*r - 1919*r + 7 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:39 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/211 and -25\/26718.\nAnswer: 5637498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = v - 2, -3*v + 4*l - 3*l + 14 = 0. Let w be 14 + v - (-4 - -1). What are the prime factors of (98\/w)\/((-1)\/(-30))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3625\/14 - 260. Suppose -4*m = 3*a + 61, 0 = 5*m + 2*a - 0*a + 71. What is the common denominator of ((702\/28)\/m)\/1 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/5 or -2451.1279?\nAnswer: -2451.1279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y + 4*u - 0, 0 = -2*y + u + 15. Let g be (-5)\/(-20)*-26 + y. Which is the nearest to g? (a) 0 (b) 16 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2984 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by -44\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161658 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3586.5 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**7\/5040 + 5*k**5\/6 - 26*k**2 - 2. Let j(x) be the third derivative of g(x). Let r(f) = 10*f. Determine j(r(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 239\/34 + -128\/17. Which is the closest to p? (a) 1 (b) 1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8 = -1. Let z(q) = 2*q + 3*q**2 + q**i - 18 + 21 + 0*q. What is the units digit of z(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/288 and -39\/4.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 485494*v = 485491*v + 110, 166 = 2*q + 5*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 878 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 1. Let m(n) = -n**2 + 6*n + 109. Let z be m(-8). What is i(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) + 2088\/58. Calculate the highest common factor of f and 6372.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -9*b**2\/2 - 2*b + 6. Let j(k) = k**3 - 3*k**2 - 4. Let t be j(3). Let a be t*2\/4*1. Calculate r(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -74.083. Let n = 5.017 + y. Let t = n + -0.1. Which is the biggest value? (a) -1 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = 3*v + 3*x, 5*v = 3*x - 27. Suppose -10 = -6*i - 4. Let g be 21\/i + (-4 - v). Solve 0 = o - 3*p + 5, o - 5*o - 5*p = g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001201405678 rounded to six dps?\nAnswer: 0.001201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58367797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 38 (b) -2\/1357943 (c) -2\/15 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + w**2 + 8*w - 4. Let f be r(3). Suppose -f*v - 14 = -2*l, -12 - 9 = 5*v + 2*l. Sort -4, v, 8, -1.\nAnswer: v, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4, 5, -10593?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/4 - 25*p**3\/6 - 59*p**2\/2 - p. Let f = 13177 + -13192. Is y(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8819*o**2 + 40*o. Let a(b) = 4410*b**2 - 24*b. Calculate 5*a(t) + 3*j(t).\nAnswer: -4407*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36092 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.394 + 0.906. What is the fourth smallest value in -1\/9, 3, k, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3645514 grams in tonnes?\nAnswer: 0.0000003645514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(6615\/(-6))\/5. Let k = -314 - y. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2407 < -2418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-17\/2)\/(g**(-19)\/g) assuming g is positive.\nAnswer: g**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 7*d = 1846. Let v = d - -597\/4. Find the common denominator of 22\/7 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, y: 2, s: 2, z: 6, x: 4, j: 4}. Give prob of picking 1 w, 1 y, 1 z, and 1 x.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2642 and 38637712.\nAnswer: 38640354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 6*a**2 - 3*a - 9. Let p be r(-6). Suppose p*c - 928 = c. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Express 17 - 38*t**2 + 15 + 39*t**2 - 44 + 2*t + 7 + 14*t**3 in the form x*t + g*t**2 + y + p*t**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4958358 to 2 decimal places.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 2. Let v be u(5). Let h(b) = 19*b**2 - 7. Let o(p) = 6*p**2 - 2. Determine v*o(j) - 2*h(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/25 + -114\/175. Which is the closest to d? (a) -0.5 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669407214.\nAnswer: 2, 3, 7, 15938267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)**(-2\/27)\/((t*t**(-6\/7)*t*t)\/(t\/(t\/((t**(-5)*t)\/t)))))\/((t*t\/(t*t**3)*t)**42)**(2\/41) assuming t is positive.\nAnswer: t**(-40048\/7749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8950 divided by 358\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (29\/((-783)\/7758))\/((-2)\/9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 6*k**2 - 8*k + 15. Suppose -4*n - 1 = 3*x + 8, -n = 2*x + 11. Let v be i(x). Solve 3*z - 31 + v = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1470*g + 1427*g - 3156*g + 405594 = 0. Let c(u) = 15*u - 6. Let h be c(4). Calculate the greatest common divisor of h and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 - 4*q**4 - q**4)*(-16*q + 4*q - 15*q)*(-1 + 1 - 2) + (2*q + 1 - 1)*(-3*q**4 + 3*q**4 + 4*q**4).\nAnswer: -100*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, c: 7, m: 4}. Give prob of picking 2 j and 2 c.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212080 is divided by 563?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 2*s**2 + 0*s - 2\/3*s**6 + 0*s**4 + 4 - 8\/5*s**5 + 8\/3*s**3. Factor w(i).\nAnswer: -4*i*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1 (b) -9 (c) -2\/13 (d) -0.08 (e) -5\/9 (f) -1\/2 (g) -112\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 26826 (b) 0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/7)*c**(4\/7))\/((c**(-2)*c)\/c*c)**(-19) assuming c is positive.\nAnswer: c**(-132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 362 and 0.5.\nAnswer: 362.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-225)*9\/(-21)*2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8617, -19295, -29943, -40543, -51077?\nAnswer: -61527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 0. Let z be 0\/(y - -1 - 3). Put 2, 3, z in descending order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**2 - 4. Let c(z) = -30*z**2 + 14. Let n(r) = 11*r**2 - 5. Let d(p) = 4*c(p) + 11*n(p). What is 4*d(h) + t(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 93. Let i be 4*(25\/(-5))\/(-10). Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q - 2. Let k(b) = 2*b + 1. Let c(o) = -5*k(o) - 3*u(o). Let g be c(-6). Let t = g + -4. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23*25\/(-37950)*55?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131.2 + 181. What is k rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from ououoouoogougo.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6.932553 microseconds?\nAnswer: 0.00000011554255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/33072 and -29\/12319320.\nAnswer: 24638640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**7\/210 - 3*u**6\/80 + u**5\/20 + 5*u**4\/48 + 17*u**2\/2 + 2*u - 48. Let o(i) be the first derivative of c(i). Factor o(f).\nAnswer: -f*(f - 1)*(f + 5)*(2*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 5 + 20 + 2*c + 3 - 3 - c + (4 - 1 - 2)*(-3*c + c + 0*c).\nAnswer: -c + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from yjymjjyjjvjvyjjymjjy.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61401 - 1842193\/30. Calculate the common denominator of g and 121\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8 = -7*j + 2*k, 5*j - k - 13 = 0. Let i = 2 - j. Let v be ((-57)\/21 - -2)\/((-10)\/4). Which is the nearest to v? (a) -2\/5 (b) i (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2262*j**2 - 14*j - 21649 with respect to j.\nAnswer: 4524*j - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.5? (a) 0.01 (b) -1801 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49493201.\nAnswer: 49493201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-48)\/(-20))\/(-6)*10*(-28)\/14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -1 (c) 5 (d) 0.032\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 128*w**2 + 491*w - 654. What is h(-124)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -43944*b + 12919549. Give d(294).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 32. Suppose 2*x + 11 = 5*r, 20 = -r - 5*x + c. Let z = 822 + -819. Put r, z, 4\/3, -2 in decreasing order.\nAnswer: z, 4\/3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2. Let q(f) = 27*f**2 + 9*f. Let g(x) = -x**2 - x. Let z(t) = t**2 - 3*t + 1. Let p be z(2). Let r(l) = p*q(l) - 9*g(l). Give u(r(d)).\nAnswer: -1296*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 - 17*p**2 + 52*p + 44. Give x(5).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.2\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -73\/184753 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 256757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*sqrt(99)*-1 + (sqrt(99) + sqrt(99)*2*1 + sqrt(99))**2 + sqrt(99))*-3.\nAnswer: -4743 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15930 divided by -118.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 - -72. Which is the second biggest value? (a) o (b) -13 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f + 85. Let s be (-1)\/1 - (23 - 8). Let y = s + 30. Calculate the remainder when w(-11) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0157 and -1477.\nAnswer: -1476.9843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12992, -25695, -38398?\n\"Answer: -12703*y - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2)*-4)**2 + sqrt(294)\/sqrt(3) + (sqrt(8) + 3 - (-1*sqrt(98))**2))*-5.\nAnswer: -45*sqrt(2) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 12*a**2 - 10*a - 18. Let f be y(13). Suppose 4*s + f = 5*r, -5*r = 5*s - 33 + 3. Solve 3*l = r*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 > 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4008469000 to the nearest one million.\nAnswer: 4008000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 15*h - 125. Determine w(16).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*q - 5 + 1 = 0, -q + 2 = 5*h. Let y be (h + -2 - 0)*4. Which is smaller: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 8. Let y = 299 + -303. Calculate x(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*q**3 + 4 - 101*q**3 - 9 - 6 wrt q.\nAnswer: -411*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 19*v - 2. Let n be -2 - (0\/2 - 1). Let t = n + 3. Calculate the remainder when s(t) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -347, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.29, -1\/4, -5, -2\/5, -1.13, -249, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 884297403?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**4 - 5*f**4 - 34*f + 12*f**4 + 2*f**2 - 2*f**3 to i*f**4 + r*f**3 + k*f**2 + y + h*f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.649328 - -1.62941. Let q = -0.98 + a. Round q to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 119*w - 3015. Let y be l(25). Which is greater: -4 or y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032 is divided by 120.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21608?\nAnswer: 2, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 22 = -2*t, -11*v + 9*v + 3*t = 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**1)*x*x)**(-39)\/(x*x*x**0*x)**38)**(-19))**(-1\/29) assuming x is positive.\nAnswer: x**(-4389\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4 + w + 0*w**2 - 3 + w**2. Calculate the remainder when 24 is divided by t(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -3, -17\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-30))\/(1\/(-10))*(-6)\/(-296).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17367.16841 rounded to the nearest one hundred?\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plpccppcppml. What is prob of sequence ll?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-162)\/(-12)))\/((-2)\/(252\/(-7))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1350486926*k**3*m*y**2 + 78384*k**3*m - 52*k*m + 9*k*y + 3*m wrt y?\nAnswer: 2700973852*k**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + -1)*-2 + -4*(2*sqrt(128) - sqrt(128)) + (sqrt(32) + 0 + 3 - (sqrt(4608) + (sqrt(4608) - (-1*sqrt(4608) - sqrt(4608))))) + -3)**2*3.\nAnswer: -2832*sqrt(2) + 334188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, o: 15}. What is prob of sequence oyoo?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9614 is divided by 1597.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -28. Suppose -5*j + u = -3*j + 12, -j + 2*u - k = 0. Which is the nearest to 1? (a) 5 (b) 0.01 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 - 29*m - 20. What is p(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j - 2*j)*(0*j**2 - 3*j**3 + 0*j**2) + 44*j**4 + 37*j**4 - 71*j**4.\nAnswer: 19*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 5 = 3*h - 5*m, -5*h + 5*m + 5 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 27. Let u = -0.134 + 0.034. What is the closest to -1\/4 in u, 3, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192686 and 13390?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 11:48 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-252)*(1 + 2). Is 0 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 16*t = 78. Let m be 8924\/552 + 1\/t + 0. What is the greatest common factor of 752 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - l + 39. Let j be y(-7). Let u(q) = -q**2 + q + 2. Let k(w) = 4 - 1 + 3*w - 2*w - w**2 - 2. Give j*u(z) + 4*k(z).\nAnswer: -z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 242470 in 2, 0, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2735*k + 2645. What is y(1)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m**3 - 5*m + 5*m + (-2 + 1 + 0)*(0*m**3 + 0*m**3 - 3*m**3) + 2*m**2 - 2*m**2 - 2*m**3 in the form i*m + b + h*m**3 + u*m**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 36023.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18177 and -42199.\nAnswer: -24022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 6*o**3 - o**3)*(-1 + 2*o + 1) + o**4 + o**4 + 0*o**4 + 55*o**3 + 15*o**4 - 55*o**3 - 2 + 8*o**4 + 2.\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 5*l + 30, 4*k - 2*l + 8517 = 8539 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r + 8. Let x be q(-6). Let s be 4 - 3*3\/9. Let n = s + x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -855 + 1484. Is c a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) 1\/4 (b) 236350 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddpddrrmrrpp. Give prob of sequence pm.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 49\/63 + 2\/9. Solve 0 = -3*w + l + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 30. Suppose 5 = c*w - 3. Suppose -w*s = -0*s + d - 19400001, -d - 38799999 = -4*s. What is s rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(40)\/sqrt(4)*-2 - -6*sqrt(90))\/(sqrt(72)*-2 - -4*sqrt(32)).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i = -51*i - 7297. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-16)*(-6448)\/1209)\/(14*(-3)\/(-12))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -5.9. Let i = -20.9 - -21. Which is the biggest value? (a) 4 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 3}. Give prob of sequence nzn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8494934, 8494933, 8494932, 8494931, 8494930?\n\"Answer: -o + 8494935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53976600103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 11*c**2 + 17*c**2 + 13*c**2 - c**3 + 16900 + 17*c**2 + 19*c**2 - 1976*c = 0.\nAnswer: 25, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 2038 in ascending order.\nAnswer: -11, 5, 2038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30439230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -2*g - 0*g + 154, 18*g + 60 = 23*g. Let n be (-64)\/(-10) - 8\/20. Solve -2*l + 5*c - n = r, -3*l = -3*c + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7 + 5 = 0. Suppose t - 41 = -c*w + w, 0 = 3*t - 5*w - 90. Is (-1278)\/(-14) - 10\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**4 - 904*c**3 - 41808*c**2 + 1110688*c + 2381440 = 0.\nAnswer: -122, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4*k - 28, -1 + 16 = y + k. Let l(u) be the third derivative of -u**4\/8 - u**3\/3 - 2*u**2. Calculate the remainder when y is divided by l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 31*p**2 - p + 69. Let c be a(31). What is the greatest common factor of c and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15338?\nAnswer: 2, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1*r**6)\/((r*r*r\/(r*r*r**7*r)*r)\/(r\/((r*r**(-1))\/r))))\/(((r\/((r*r**(-3\/4)*r*r)\/r))\/r)\/(r**(5\/2)\/r*r))**46 assuming r is positive.\nAnswer: r**(377\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1676 divided by 11?\nAnswer: -1676\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -814*h**4 + h**3 + 4463*h.\nAnswer: -9768*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*i - 5*i**3 + 42*i + 2224*i**4 + 40*i - 2227*i**4 wrt i?\nAnswer: -36*i**2 - 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 945, 934, 909, 864, 793, 690?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48003626 to the power of 1\/2, to the nearest integer?\nAnswer: 6928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 503 + -2514. Let b = 2956 - s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -24035?\nAnswer: -24052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.075 (b) 0.3 (c) 0.05 (d) -2 (e) 2 (f) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 43*a**3 + 3*a - 1. Let v be y(3). Is 2\/(-3) + v\/21 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7. Solve t = 3*g + 2*f - 13, 0*g - 2 = 3*g - f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(-2*sqrt(10)))\/((sqrt(108)\/sqrt(3))\/sqrt(12)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 531, 549, 567, 579, 579, 561, 519, 447?\n\"Answer: -o**3 + 6*o**2 + 7*o + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51773081 + -4.\nAnswer: -51773085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(243) + -3 + (sqrt(243) - 3*(-1 + sqrt(243) - sqrt(243)))))**2.\nAnswer: -1296*sqrt(3) + 35028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5\/4 + 2133*b**4\/4 + 1194411*b**3\/4 + 60615955*b**2\/4 + 159590400*b - 1214461125 = 0.\nAnswer: -1039, -30, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 3*z**2 - z**2)*((-2*z - 2*z + 6*z)*(1 - 1 - z) - 16 + 9*z**2 + 16) + (-6*z**2 + 4*z**2 + 0*z**2)*(4*z**2 + 2*z**2 - 3*z**2).\nAnswer: -13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49608, -99140, -148670, -198198, -247724, -297248?\nAnswer: -346770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + 1 - 1)*(-3341 - 3328 + 6695) as k*r**2 + y + v*r and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**4 - 4*w**3 + 2*w**2 + w**3 + 3 - 3*w**3 + 2*w**4 to the form n*w**4 + z*w**2 + v + j*w**3 + t*w and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 1. Suppose 6 = 5*f + f. Let l be p(f). Suppose l = 5*g + 20, -4*y + 157 - 9 = 4*g. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*(-1 + sqrt(68)) + sqrt(68) + sqrt(68) - (sqrt(68) - (-2 + sqrt(68) + 4)))*-4)**2.\nAnswer: -1536*sqrt(17) + 78464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -15*n + 54. Let d be (-322)\/21*(-1 - n\/2). Calculate the greatest common divisor of 138 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/2*(-71 - -77). What is the common denominator of -13\/84 and 575\/(-231) + (-6)\/p?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**5\/20 - 5*h**4\/12 + 7*h**3\/6 + 7*h**2\/2 - 3*h. Let i be t(-6). Factor -7*k + 1 + 11*k + 4*k**2 - i.\nAnswer: 4*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhbhhbhbhhhhhh. Give prob of sequence hhhb.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.91.\nAnswer: -0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2015.\nAnswer: 4\/2015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 17 + (-9 - (-12 - -19)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z = -67*z + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 2, x: 1}. What is prob of sequence ll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2579 times 5.56\nAnswer: -1.433924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, and 2 g when four letters picked without replacement from {j: 3, r: 2, o: 2, u: 2, g: 8}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - (2 - 31 - (-9 - 8)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 480 from -44726334.426.\nAnswer: -44726814.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -2) + -32 + (3 - 7). Let w = y + 39. Is -4 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -34 + 6. Suppose -y = u + 1. Let x be (2 - u\/(-5))*5. Solve x*r = -r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14126 is divided by 14035.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 567938, 1136005, 1704072, 2272139?\n\"Answer: 568067*c - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 202 = 2*g, -12 + 413 = 4*g - 3*h. Calculate the remainder when 4702 is divided by g.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 19*j + 367. Let h(v) = -5*v - 92. Let r(q) = 2*d(q) + 9*h(q). Let y be r(-17). Solve 0 = -14*k + y*k - 55 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10776 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*144360\/9624.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 43 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 658 - 449. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*o + 847206, -7*o - 3*j = -9*o + 564829. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 785054402 to the nearest integer?\nAnswer: 28019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6)*(-6)\/(-37). Let u = -65\/111 + y. What is the closest to 1\/4 in 0, -0.2, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10363*f - 5055*f + 8926*f + 10924*f + 2339694 for f.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-28)*42)\/(9\/84*7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/3)\/(c\/c**12*c))\/(c**(-6)*c\/((c\/(c\/c**(2\/9)))\/c)))**(1\/2) assuming c is positive.\nAnswer: c**(58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 99 + -1 - (-1390 + 1412)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-9))\/((-1)\/6*-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - 4*r - 4, r + 5 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/81 - 14\/(-36))*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -75. Solve 4 = -x*n + 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 571.912 + -568. Let r = i + 0.088. Let t = -4 + r. Which is the nearest to -1? (a) -4 (b) t (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 5 - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -35*g**2 + g - 1. Let s be z(1). Let j = -15 - s. Solve 0 = 3*n + 2*n - j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 13848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, f: 2}. Give prob of picking 3 x.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, k: 2, q: 8, h: 1, z: 1, a: 3}. What is prob of sequence dd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 77444830 and 77444831 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/310541435 or 0?\nAnswer: 3\/310541435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 - 154*g**2 + 504*g + 12693. What is f(-53)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009201204 to 6 dps.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 658061 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -626779 * 0.4.\nAnswer: -250711.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157346627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 697579713 and -0.3403.\nAnswer: 697579712.6597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*h + 277*h = 4642 + 4081 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 196355268 a multiple of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -931*u**2 + 309*u**2 + 622*u**2 - 2155*u**3.\nAnswer: -2155*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*a - 36231 + 12074 + 12080 - 106*a + 12077.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.15 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 15*z**2 + 2. Let c(x) = 14*x**2 + 3. Calculate 2*c(s) - 3*t(s).\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4352*p + 432*p + 1 - 1 - 275*p.\nAnswer: 4509*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11070)\/(-4) - 30\/(-20). Let g = -1829 + l. Round g to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 4, 49, 0, -3 in decreasing order.\nAnswer: 49, 31, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(8\/(-852)) - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.124 + -30. Let d = 2.124 - l. Which is bigger: d or -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a factor of 400050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127649 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-189495)\/30*(-2)\/3.\nAnswer: 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 8, -y - y - 4 = -t. Let a be ((-32)\/20)\/4*65. Calculate the remainder when -2*(y + a\/4) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236*-112460\nAnswer: 26540560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 2392*q + 78611. What is o(-32)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - (1 + -16))*87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d - 6*d - 42*d**3 - 69*d**3 + 18*d**3 in the form t*d + p*d**2 + j*d**3 + m and give j.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13\/((-13)\/2))\/(6\/(-117)). Suppose -115 = i*s - 40*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/315)\/(137\/685)*-15?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 55*d**2 + 436*d + 175. What is a(-62)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 588.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.975 + 0.025. Let r = -491\/7 + 70. What is the third biggest value in r, u, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w - 7. Let s(c) = -c**2 - 22*c - 23. Suppose 4*o - 8 = 0, 2*b + 53 = -b - 2*o. Calculate the lowest common multiple of s(b) and a(-5).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12172\/(-2685)*(-3)\/(-16) and -11\/230?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, b: 2}. What is prob of picking 1 b and 3 w?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*s**2 + 4*s**2 + 10*s**2 + 12*s**2.\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 478675186\/3 + -157425765. Let w = 204579929\/96 - j. Let u = -1590 - w. Find the common denominator of 95\/16 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 3. Suppose 3*p = -l + 3*l - 19, 25 = 2*l - 5*p. Let x = -25229 - -25250. Calculate the remainder when x is divided by z(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 74 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 18*s**3 + s. Let a be m(1). Let u = -1332 + 1911. Let o = u - 560. Is a < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-6 - -1 - (-15 - -7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*d = 17, 0 = 4*w - 2*d + 16 - 2. What is the third smallest value in -0.4, -2, w, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220*5\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + 0)*20\/(-90).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 4:22 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:32 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least -17\/7753630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (270\/(-72) + 1)\/((-2)\/464). What is the highest common factor of c and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.64 + 0.36. Which is greater: -0.07 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -945 or -79421\/84?\nAnswer: -79421\/84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 f when three letters picked without replacement from {f: 2, i: 4, l: 3, u: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**5\/15 + p**3\/3 + 60*p**2. Let i(l) = l**2. Determine i(u(y)).\nAnswer: 16*y**4 + 16*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/3 + 254*d**3 - 506*d**2 + 758*d\/3 = 0.\nAnswer: 0, 1, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**10*y)\/y)**(-27))**23)**(-16) assuming y is positive.\nAnswer: y**109296","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*v + 374 = 1003*v - 494*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*o - 31, -5*d + 30 = 13*o - 8*o. What is the remainder when 128 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1617)\/sqrt(11)*2)**2.\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 84.4496.\nAnswer: -253.3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 727059247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 593be7 (base 15) to base 6.\nAnswer: 231230501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 4*c - 5. Let a(t) = -t - 1. Let q(u) = -3*a(u) + l(u). Let q(i) = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 9:01 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2b283b (base 14) to base 6\nAnswer: -52133045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 18004273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 240?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*u = 29*u - 21712 - 60068. What is the highest common divisor of 90 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2480626 and 1.9.\nAnswer: -2.37131894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12311021 (base 5) in base 9?\nAnswer: 201840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**3 + 330*n**5 - n - 321*n**5 - 28 + 0*n**4 + 0*n**4 - n wrt n?\nAnswer: 180*n**3 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 4*y**4 + 2*y - 5*y**2 - 8*y**4 + 2*y**3 + 6*y**2 to the form r + a*y + w*y**4 + j*y**3 + c*y**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -192.2?\nAnswer: 96.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18570479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 2*h + h + (4 - 4 + 7)*(3*h + 4*h - 2*h).\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 16, l: 2}. What is prob of sequence lccc?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -751 minus -0.2?\nAnswer: -750.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54531 and 54531.\nAnswer: 54531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 + 47*g - 20. What is d(16)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10\/19 (b) 0 (c) 5\/3 (d) -11.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.988 - -0.012. Let n = k + -46. Let i = n - -3.8. Which is greater: 0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - p + 5*p - 244 + 194, 5*z = p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -29 (b) 15 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4\/5 + 216*g**3\/5 - 3492*g**2\/5 + 15552*g\/5 - 20736\/5.\nAnswer: -4*(g - 24)**2*(g - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*p - f, 4*f + 5 = -7. Suppose r - p = d, 2*r - 2*d - 3*d - 55 = 0. What is the greatest common divisor of 75 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 + 166. Find the third derivative of -9*k + k**4 + 25*k**5 - 34*k**2 + k**4 + j*k wrt k.\nAnswer: 1500*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3761, -16044, -36517, -65180, -102033, -147076, -200309?\n\"Answer: -4095*k**2 + 2*k + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -35. Let v be ((-18)\/14 - h) + (-552)\/(-168). Let b(j) = j**3 - j**2 - j - 4. Is 2 a factor of b(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.6876 - 6.7. Round z to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 34*u**2 + 33*u + 6. Let d be h(33). Suppose -1723 = d*n + 299. Let x = -235 - n. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 7*((-4000)\/(-56))\/2.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 minutes after 5:51 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1420, -2071 in decreasing order.\nAnswer: 1420, -9, -2071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 31 = 1. Suppose 0 = 4*z - z - s. Suppose 0*j + z*j = 4. Solve -l - i = 7, 0 = -j*l - 3*l + i - 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 43 = 2*s, 0*s - 3*q = 5*s + 79. Let v = s + 99\/7. Let i be (-1)\/5 + (-4)\/(-10). What is the second smallest value in i, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - w + 21 = 5*x, 4*x + 4*w - 4 = 0. Suppose -2*u + 3*q - 2 = -25, 0 = -q - x. Suppose o - u*k + 1040 = 5*o, 5*k - 1043 = -4*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -166? (a) 1\/8 (b) -0.2612 (c) 17\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.012 - 26.988. Let i = -324893422.99999934 - -324893396. Let t = i - x. What is t rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 59750 - 178737 + 62333 + 75195 to the form s*a + h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 103*q**3 + 5*q**2 - 5*q. Let r(d) be the third derivative of 17*d**6\/40 + d**5\/20 - d**4\/8 + 2524*d**2. Determine 3*g(t) - 5*r(t).\nAnswer: 54*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5440795*p**3 + 16261931*p**2?\nAnswer: 32644770","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h**5\/7 - 998*h**4 - 19888*h**3 - 54568*h**2\/7 = 0.\nAnswer: -19, -2\/5, 0, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(440)\/((sqrt(50) + sqrt(4050))\/sqrt(5)) + 3.\nAnswer: sqrt(11)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -214, -67, 188, 557, 1046, 1661, 2408, 3293?\n\"Answer: j**3 + 48*j**2 - 4*j - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3*(-11 - (-79556)\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451196.409 - 0.01.\nAnswer: -451196.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -56. Let n = -4.3 - 0.7. What is the second biggest value in n, 3, -0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 575, 1, 0 in decreasing order.\nAnswer: 575, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w - 2*a + 5, 0 = -5*a + 5. Let g(u) = 44*u**3 - 3*u**2 - 21*u + 53. Is g(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366.6 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9812 - 9812.03. What is the second smallest value in f, -6, 2\/85?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4345231 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n - 57. Calculate r(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24b (base 12) to base 16.\nAnswer: -15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 8*r**2 - r + 4. Let n be p(8). What are the prime factors of (2\/3)\/(n\/(-66))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (216\/(-27))\/((-4)\/478).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(448) + 2) + 5)**2.\nAnswer: 400*sqrt(7) + 11225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 29*q**2 - 58*q - 147. Calculate o(-24).\nAnswer: -1635","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, a: 3, t: 4}. Give prob of picking 3 a and 1 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) -1 (b) -3 (c) 2 (d) -110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 694620?\nAnswer: -694618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3207, -3110, -3017, -2928, -2843, -2762?\nAnswer: -2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4209702?\nAnswer: 2, 3, 7, 113, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 8, 3*b + 6*i = 2*i + 11. Let t be (-6 + 5)\/(b\/44). Let j = 94 + t. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11772 = 30*w. Let y = 567 + w. List the prime factors of y.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 46 = -2*l, -3*l - 92 = -7*l - 3*v. Suppose -l*a - 4 = -24*a. Solve 2*j + 3*z + 2 + 0 = 0, z = a*j - 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38767*l**3*x**2*z + 2*l**2*x**2 - 3*l*x**2*z - 7254*l*x**2 wrt l?\nAnswer: -232602*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 127171 = -3\/1694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a second in milliseconds?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1020, 6535, 15722, 28581?\n\"Answer: 1836*q**2 + 7*q - 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/7 - 1\/14. Let o = 82 - 904\/11. Which is greater: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4 + 5*v**3 + 4*v**2 = 0. What is v?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 6 - (3 + -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/52 and -137\/18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -50*s + 2115. Let k(y) = 6*y - 265. Calculate 2*f(v) + 17*k(v).\nAnswer: 2*v - 275","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86235564 a multiple of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10124 - -908.10797.\nAnswer: -9215.89203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12041041 (base 5) to base 7.\nAnswer: 644410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4053?\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -155, -288, -445, -626, -831?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -23. Let h(i) = 11*i + 157. Let m be h(-7). What is the highest common factor of y and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -30. Suppose 2*p + 3*i = 13, 0 = -5*p + 2*p + 5*i + r. What is the lowest common multiple of 1 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4740.168 to the nearest integer.\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368504643?\nAnswer: 3, 13, 23, 410819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**2 - 13 - v - 7*v + 2*v - v**3 - 3*v**2. What is the units digit of l(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Let n be 0\/s - (83 + 11). Let m = n + 156. Calculate the remainder when m is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2576\/(-5005) - (-17 + (-19926)\/(-1170)). Let s = 0.5 - 0. Let x be 4\/6 + 26\/(-30). What is the fourth smallest value in 0.3, v, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**3 - 19*z + 54*z - 39*z + 3*z - 4 - 20*z**4 to y*z**3 + s*z**4 + l*z**2 + u*z + t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7476 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*a = 5*a + 12, 5*a - 24 = -z. Let x(l) be the first derivative of -l**3\/3 + 6*l**2 - 8*l - 1. Is x(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.76044 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40, -71, -128, -217, -344, -515, -736?\n\"Answer: -d**3 - 7*d**2 - 3*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 2.6.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82745\/32 + 2587. Is r equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123651 is divided by 141?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 8:18 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 208 = 3*y. Let s = 0 - -1. Calculate the smallest common multiple of s and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 3*u**5\/20 - 44779*u**2. Let x(s) = 1 - 6*s - 1. Determine j(x(y)).\nAnswer: 324*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5028 times -0.4?\nAnswer: 2011.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*b - 61*b + 4*b - 804 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 978, 1469, 1960?\nAnswer: 2451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 39118*x**2 - 11312*x**2 - 5 + 3.\nAnswer: 27806*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 8*p - 4. Suppose 4 = 2*a + 3*y + y, -3 = -a - y. Let z be o(a). Solve 0 = -5*n - 3 - z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.1797\nAnswer: 0.1797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:08 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 0*i - 4*i - 3*i. Let y be 3*2\/(30\/(-5)). Let t(w) = -3*w - 7. Let f(z) = 2*z + 5. Let u(o) = -7*f(o) - 5*t(o). Give y*n(g) - 6*u(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**2 + 1210208*c + 91537712704 = 0.\nAnswer: -151276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4589253052 to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -1\/4 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517*c**2 - 1566*c**2 + 517*c**2 - c + 513*c**2.\nAnswer: -19*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-8 + (0 - 5 - (-12 + -11)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 483, 1116, 2003, 3144, 4539?\nAnswer: 6188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*m - 9. Let q be (1\/2)\/(m\/(-12)). Let x be (12\/(-45))\/((-36)\/27). Put q, x, -0.5 in increasing order.\nAnswer: -0.5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35208, -35112, -35020, -34932, -34848, -34768, -34692?\nAnswer: -34620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/(-36)*4436\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/14*(-322)\/4)\/((-36)\/((-504)\/7)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-8\/13))\/g*g\/(g\/g**(-2\/23)))\/((g\/(g\/g**40)*g)\/g**(1\/31)) assuming g is positive.\nAnswer: g**(-386240\/9269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 7 - 12 + 3*h**2 + 5 - 5*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 408289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 18*c + 8. What is the units digit of j(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1\/(-6)*24\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149\/3 - -299\/6. Which is the nearest to 2? (a) 0.4 (b) 5 (c) u (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31713 - -31452. What is the second smallest value in -0.4, -17, z?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-26) - (-81)\/78*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 681, 1765, 3637, 6303, 9769, 14041?\n\"Answer: n**3 + 388*n**2 - 87*n + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*2\/(16\/2)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 690687041 and 9658?\nAnswer: 4829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003262217 to seven decimal places.\nAnswer: 0.0000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b + 0*b)*(0*b**3 - 2*b**3 + b**3 + b**3 + 0*b**3 - 2*b**3 + (b**2 + 0*b + 0*b)*(-1 - 2*b + 1) - 5*b + 5*b + b**3).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1338, -5367, -12092, -21525, -33678?\n\"Answer: -2*x**3 - 1336*x**2 - 7*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 600269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - 55006?\nAnswer: -54654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -52960000 rounded to the nearest one million?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 11. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 47*r**2 + 187*r - 5. Give f(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21773230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - i**2 + 3*i**2 + (86*i - 275*i - 89*i)*((-5 + 2 + 1)*(2 - 3 - 1) + 3 + 3 - 5 + 2 - 1 + 1)*(-i + 1 - 1).\nAnswer: 1948*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -113*r**3 - 46*r**2 + 1960*r + 5. Let o(c) = 55*c**3 + 23*c**2 - 979*c - 3. Let n(b) = -3*m(b) - 5*o(b). Find the second derivative of n(a) wrt a.\nAnswer: 384*a + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b4d (base 14) to base 12.\nAnswer: 4569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 5*x. Let j be v(4). Suppose 7 = 5*i - 2*k, -j*i - i = 4*k - 31. What is the second derivative of 5*t**i - 2 + 20*t - 23*t + 2 wrt t?\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -542 - -77?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -14. Calculate the remainder when 28 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (7 + -31 - (-3 + -10)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1015 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009288387 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*r**3 - 8508*r**2 - 194928*r - 607360 = 0. Calculate r.\nAnswer: -584, -20, -26\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2598*c**2 - 1213265*c - 461. Determine d(467).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.27643 plus -238?\nAnswer: -188.72357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + 20*z - 39. Let b be o(-5). Let y(v) = v. Let w(d) = -4*d - 1. Calculate b*y(g) - 4*w(g).\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 1, j: 2, u: 4, l: 2, s: 2}. Give prob of picking 2 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6625 - 43*b**3 + 16*b**3 + 6625.\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0 - 1, 0 = 4*v + 3*q - 27. Suppose -4*d - 9 = -5*x + v, 3*x - 9 = d. Let t = -1 - -2. Which is the nearest to t? (a) x (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j + 3*j**2 + 6*j**2 + 2 + j**3 - j**2 - 2*j**2. Let d be k(-7). Let g(a) = -5*a - 5*a + a + d*a. Let i(y) = y. Give g(i(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -52*v**3 + v**2 - 1. Let n be l(-1). Let t be 6\/15*(215 + 0). Let p = t - n. Calculate the greatest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -29941*x - 6946. Is t(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2312 is divided by 144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 19*y + 1. Let b(h) = -h. Let q be b(-5). Suppose 0 = -q*c - 217 + 512. Calculate the remainder when c is divided by j(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9272111 days to minutes.\nAnswer: 1335.183984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a decade?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/(4\/12) - -83. Let g = 175 - f. What are the prime factors of g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 7) to base 5.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/5, 57, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89757817403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 29. What is the remainder when 69 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**6\/15 - k**4\/6 + 3*k - 3. Let p(f) be the first derivative of r(f). What is the third derivative of p(t) wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34 or -477\/14?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.62 (b) -0.5 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((12\/(-2))\/18)\/(2\/(-30)). Solve 5*b - l = 19, -q*b + 23 - 6 = -3*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125118 or 1376295\/11?\nAnswer: 1376295\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*f + 34510 = 93*f. Solve -f*c - 21 = -206*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -24*w**5 + 454*w**4 - 2120*w**3 - 218*w**2 + 180*w = 0.\nAnswer: -1\/3, 0, 1\/4, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 588112 and 11564?\nAnswer: 4116784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.101 in -0.05, 41, 39\/11, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6511)\/(-182) + 768\/1344)*28\/5. Let 2\/13*v**3 + 18522\/13 + 126\/13*v**2 + i*v = 0. What is v?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -299 - -310. What is the remainder when 50 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 3:38 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 9 + 0*f**2 - 2*f - 15\/4*f**4 + 0*f**3. Differentiate j(v) wrt v.\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 19*j**2 + 10*j - 19. Let o be h(19). Let s = -85 + o. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-64)\/60)*(-4)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 9*z - 22. Let y be b(10). Round y to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 50699, 50688, 50677, 50666, 50655, 50644?\n\"Answer: -11*s + 50710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3 + 26*w**2 - 96*w = 0. What is w?\nAnswer: -16, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*o**2 - 6*o**3 - 8*o**2 - 7*o**2 in the form s*o + t*o**2 + z + y*o**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 14 = -34, -16 = -2*p - 3*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 62.56187 days?\nAnswer: 90089.0928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 142bcb9 (base 14) to base 10\nAnswer: 9790363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*q + 5 = 0, -3*m + 3*q + 4 = -q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/4 - 13841*k\/2 + 27681\/4 = 0.\nAnswer: 1, 27681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -31. Suppose 2 = 4*i - 6, -3*z + 2*i - s = 0. Does 33 divide (5 - 6) + 141\/1 + z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -13*q + 642. Let a(t) = 3*t - 161. Let b(l) = -9*a(l) - 2*c(l). What is the units digit of b(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-368)\/(-5))\/(2\/20)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. Suppose p + 7 + i = 2*c, -2*p - 8 = 0. Factor 10\/7*b**4 + 36\/7*b**c + 0 - 16\/7*b + 24\/7*b**2.\nAnswer: 2*b*(b + 2)**2*(5*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (34\/(-3))\/((-1164)\/234 + 6 - 1). Which is smaller: -428 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/128*(7 + -99).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3652, -4010, -4620, -5608, -7100, -9222?\nAnswer: -12100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 3341103?\nAnswer: 3341100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 99776\/(-160) - 4\/10. Round g to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-170)*1)\/((-2)\/1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**7)\/(z\/z**14))\/(z**(-2\/9)*z)**(-23))**26)**(-27) assuming z is positive.\nAnswer: z**(-27300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0 + 0)*(7 - 4 - 2)*(-5*m + m + 2*m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 21. Suppose 3*p = -m*g - 0*g + 15, -4*p = -g. Solve -6 = 5*c - p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 5*i - 3. Let r be a(-6). Let n = 1 + 3. Suppose 0 = n*d - 0 - 8, 13 = y + 5*d. Solve -r + 6 = y*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 + (0 + 3 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 4. What is the remainder when 43 is divided by u\/4*4 + 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168120.\nAnswer: 2, 3, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1065 and 20?\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*o**2*u**2 - o**2*u + 2*o*u + 3691*o - 7926*u**2 - u wrt o.\nAnswer: 60*o*u**2 - 2*o*u + 2*u + 3691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 6*u**2 + 54*u + 18. Calculate t(-5).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2. Let g(m) = -1387*m**2 - 10049976*m + 10049976*m. Calculate g(p(h)).\nAnswer: -5548*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 - 20*n + 11. Let o(l) = l**2 - 7*l + 4. Let z(p) = -3*f(p) + 8*o(p). Let c(d) = d - 3. Let u be c(4). Let b be z(u). Solve h = 1 - b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*n**3*s + 2*n**3 - n**2*s + 112513499*n**2 + 70710*n*s - 33*s wrt s?\nAnswer: -4*n**3 - n**2 + 70710*n - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1907 and -0.06367.\nAnswer: -1907.06367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -268296, -536598, -804900?\n\"Answer: -268302*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64209*k = -64205*k + 2*u + 28, 44*k + u + 98 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40049*y**2 - 180611*y wrt y?\nAnswer: -80098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37547 + 7308?\nAnswer: -30238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.1 (c) 9 (d) -0.3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1446 - 1301. What is the remainder when 287 is divided by a?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-317830)\/369075 + 146\/7665?\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/75731347 and -27\/109.\nAnswer: 75731347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -6*t + 30. Calculate the remainder when t is divided by 10\/2 + (2 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:30 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -12*a**2 + 3*a + 119. Let n(t) = 5*t**2 - t - 59. Calculate 5*n(c) + 2*z(c).\nAnswer: c**2 + c - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 2\/(-4))*38\/2280. Which is greater: 2\/3 or a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 98039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5631*n + 5311*n = 23360 for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(1\/(-1))\/(10\/(-10)). Let a be 12\/150*5 + (-13)\/l. Suppose 0*b - a*b + 839975 = 5*h, -5*b + 1400015 = -3*h. Round b to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.1 (c) 7 (d) -1.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:04 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58197, -117367, -176537, -235707, -294877?\n\"Answer: -59170*b + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2079*g**2 - 77. Let c(m) = -80*m**2 + 3. What is 154*c(o) + 6*y(o)?\nAnswer: 154*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-120)\/(-25) - 3)\/((-8)\/(-40)). Suppose -1142 = -11*r + p*r + 3*w, -5*r + 2862 = -4*w. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(30\/9 + -3). Suppose 1 - o = 2*k. Let w be 1 + k*(-12)\/(-2). Sort w, 0, 5 in ascending order.\nAnswer: w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 270*i**2 + 138*i + 35. Is n(29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/((-6)\/(-76)))\/(-40 - (-9632)\/240). What is the highest common factor of h and 6365?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19344126 by -6448042.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -170, -4072, -16802, -43454, -89122?\n\"Answer: -849*t**3 + 680*t**2 + t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 10:34 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.383 and -152.\nAnswer: -151.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -41. Let b = n + -19.72. Let x = b + -0.279962. Round x to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.3 (b) 0.121 (c) -1 (d) -1\/2 (e) 0.2 (f) 0.1 (g) 139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 88*t**2 - 1. Suppose 4*c = -5*g + 7, -3*g - 6 = 4*c - 5*c. Calculate the remainder when p(g) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19171981189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = -3*g - n, 0 = -3*g - 2*n + 15. Suppose -7*d + g*d + 12 = 0. Let s be (-3)\/9 - (-22)\/30. Which is the third biggest value? (a) 2 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15036 and 33962028?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 6, -4.\nAnswer: -4, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 188 + 193 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p + 23. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 + 97. Let h be 228\/(-54) + 1 + s + 6. Let q = -1 - -2. Which is the closest to 0? (a) -2\/7 (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.026956831.\nAnswer: 0.107827324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - 14*l. Let v(s) = 8*s**2 + 35*s. Let z(f) = -5*k(f) - 2*v(f). Let c(w) = 7*w**2 + w + 3. Give c(t) + 6*z(t).\nAnswer: t**2 + t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*v + 10941 = 4*g, -13659 = -5*g + 2*v. Suppose 2*d - 5*m = -5365, 0 = 2*d + 3*m + g + 2656. What is d rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236370 divided by -7879?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(25) - (sqrt(1225) - 2*sqrt(1225))) + sqrt(25)))\/(sqrt(20)\/sqrt(16) - sqrt(60)\/sqrt(108)) + 5.\nAnswer: -270*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-4)*(-32)\/10)\/(1179\/786).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -15.\nAnswer: -13\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 7*v**2 - 3*v - 2. Determine k(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1598 is divided by 57?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -44. Let o be (-3 + y)*(-3)\/(-5). Let p be 17 + o + 0 + -4. Solve -2*i - p = -3*t + t, -3*t + 28 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 19 - 229. What is the remainder when 61 is divided by (s\/8)\/(7\/(-28))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4. Let v = 0.71 + 0. Let d = v - 0.11. Sort 2, -2\/3, d, y.\nAnswer: -2\/3, d, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 26 = 22. Let b = 7 - 3. Suppose 32*d + b = 33*d. Solve d*a - l = 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -226944 - 6*n + 113460 + 113289 as a*n + t and give t.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 1947\/13 (b) -24 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 + -1 + 0. Let a(f) = f + 1. Let q(h) = 2*h + 1. Let p(g) = k*q(g) + a(g). Let w be p(0). Solve 5*z = -w*z + 4*d + 4, 4 = -4*d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 51571625?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 2*d**2 - 2*d**5 + (-d + 3*d**2 + d)*(0*d**2 + 3*d**3 + 6*d**2 - 4*d**2).\nAnswer: 7*d**5 + 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/(-9) - (-1)\/3. Suppose 0 = -4*t + 3*w + w + 20, c*t = -5*w + 47. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i**2. Let q(f) = 1377*f**2. Give q(l(u)).\nAnswer: 67473*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(756))\/sqrt(3) - sqrt(7) - (sqrt(252) + 2))**2.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**4\/6 - 5*u**3 - 20*u**2 + 560*u\/3 - 320 = 0 for u.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 - 3.1. Which is greater: 15 or v?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 15*r + 8. What is the greatest common divisor of r and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013234 rounded to five decimal places?\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*c*c**6)\/(c**(-14)*c*(c**(-6)\/c)\/c) assuming c is positive.\nAnswer: c**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 1)\/4 + 14. Suppose r*z - 6 = 8*z. What are the prime factors of z\/(2\/50) - 9\/3?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (9 - (10 + (-9 - -11))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 953 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2237, 4476, 6715, 8954, 11193, 13432?\n\"Answer: 2239*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykz when three letters picked without replacement from zmbkyyu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 3*y, 240*y - 244*y - 161 = -47*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**(-3)\/y))\/(y**(-3)\/y))\/(y**2*y\/(y*y*y\/(y*y**(-2\/5))*y)*y))**(-2\/15) assuming y is positive.\nAnswer: y**(-94\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76*o**2 - 3*o - 472?\nAnswer: 152*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 413*d**4 + 2*d**3 - 6*d**2 + 27822*d + 1 wrt d.\nAnswer: 4956*d**2 + 12*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15149971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Suppose 0 = -5*x - 4*r, -3*x = -0*x - 2*r. Suppose -t*q - 3*k - 8 = x, 0 = 2*q - 3*k + 2 - 18. Solve -q*g = 1 + 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 0 + 0)*(30*l**2 - 18*l**2 + 31*l**2) in the form a*l + g*l**3 + y*l**2 + d and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 768530840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(153) + sqrt(153) + sqrt(153)*2)*-5 + 2*sqrt(153)*1)*-1)\/(((sqrt(180)*1)\/sqrt(10) + sqrt(18))\/(sqrt(22)\/(sqrt(55)\/sqrt(5)))).\nAnswer: 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-171)\/(-190))\/((-6)\/5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e88aa (base 16) to base 12.\nAnswer: -1030a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(7 + -9))\/(2\/458). Suppose 3*x = -f + q, -f - 3*x + 925 = 3*f. Suppose 2*t + 2*t - f = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gililkllkkbklliklikl. What is prob of sequence bk?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 9 + 1 = 0. Let -g**c + 4*g - 2*g**2 + 8 + 0 - g**2 = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-24) + 1254\/(-456)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1*(10\/5)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -3337251459383.\nAnswer: -3337251459383.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:27 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shle when four letters picked without replacement from eweldwsehhle?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-62)\/(-2)*(-10 + 7). Let w = -60 - k. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1565*v + 1406*v - 7314 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 298990 + 35015 = 5*y, -5*y = -4*s + 351975. What is s rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350545 (base 6) to base 16\nAnswer: -7541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06 and 397924.996.\nAnswer: 397925.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 439.7 - 437.7. Let a = -0.6 - 0.4. What is the closest to 1 in a, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29557122 and 2555691.\nAnswer: 679813806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510002 is divided by 33979.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*(-16390)\/(-298).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-140)\/(-475)) + (72\/(-40)*7 - -12)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/382770 and -73\/433806.\nAnswer: 6507090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -394, -680, -1152, -1810, -2654?\n\"Answer: -93*m**2 - 7*m - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4127 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.25 and 47453.86821?\nAnswer: 47454.11821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*g**2 + 692941 - g**4 - 2*g - 692939 + 37*g**2 to t + a*g**4 + h*g**3 + c*g**2 + r*g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1551.76889 to 0 decimal places.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-2 - 0))*12\/(-18). Suppose c = x - 0*c + 1, -d*x + 5*c - 14 = 0. What is the first derivative of 27 - 12*z**x + 2 - 12 wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y + 180. Let h be t(-28). Let k(i) = -i**2 + 14*i - 9. Give k(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71\/500874 or -1?\nAnswer: 71\/500874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 8) in base 3?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -325, -722, -1277, -1990, -2861, -3890?\nAnswer: -5077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441096952.\nAnswer: 2, 53, 73, 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*b = 1371*b + 22608 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35 + (2 + -4 - -3). Let x = l - 86. Find the common denominator of x and -3 + 1 - 1020\/(-252).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.243 + -2.243. Let o(n) = 2*n - 3. Let x be o(4). Sort j, x, 0.4 in increasing order.\nAnswer: j, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761 = 5*k - 1694. Suppose -4*y - k = -3*j, -4*j + 0*j = -2*y - 638. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/(-91) - (-924)\/(-1078)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4653793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a215 + -5a74?\nAnswer: -14089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2007 and -59\/8816082.\nAnswer: 26448246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17640.33 rounded to the nearest 100?\nAnswer: -17600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489071 is divided by 4615?\nAnswer: 4496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 599, 0, 3, -1, 4 in descending order.\nAnswer: 599, 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 897788049?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1584)*3*-4)**2*-1.\nAnswer: -912384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + (3 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1298, -378, 1\/4, 2\/7, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -9*n - 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12110002023 + 1?\nAnswer: -12110002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1034*l + 342*l - 1749*l + 379*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -24*o - 13. Let c(u) = -13*u - 7. Let m(w) = 11*c(w) - 6*h(w). Let i(j) = -3*j - 3. Determine -i(t) - 2*m(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/125 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -53*d**3 + 52*d**2 + 6*d - 6. Let a(q) = 54*q**3 - 53*q**2 - 7*q + 7. Let p(n) = -6*a(n) - 7*f(n). Find the third derivative of p(t) wrt t.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 673 - 668. Suppose -3*k = p - 10, 6*k = u*k - 2*p. Solve -k*f - 6*q = -2*q - 16, 16 = 4*f - 4*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Suppose 3*o = -h*a + 117, -6*a + 2*a = -2*o - 122. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9648 + 9649.6972. Let f = q - 1.7. Round f to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*83.\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 3*t)*(0*t + 3*t + 2 - 5*t) + (6*t - 2*t - 2*t)*(0*t + 0*t - t) to the form u + h*t + x*t**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223*w + 79*w**4 + 223*w)*(-2*w + 0*w + 0*w).\nAnswer: -158*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 - (-108)\/16. Suppose -27 + a = -5*f. Suppose -149 = -f*d + 131. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 3:15 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/18 and -49\/381.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3025219.\nAnswer: 3025219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 48 = 9*v. What is the smallest common multiple of v and 148?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 6 = 5*u, -2*u - 4*v - 18764 + 18752 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14909450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2831238*t**4 + 4983297.\nAnswer: -11324952*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*k - 652 - 405 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, z: 2, t: 2, h: 1}. Give prob of sequence la.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4.9 (b) 8\/7 (c) -4\/5 (d) -0.0611 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1350\/(-20))\/(-15)*(10304\/(-98946))\/56?\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/16)*i**0)\/((i\/i**(5\/2))\/i**15))**(-4) assuming i is positive.\nAnswer: i**(-279\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.9 (b) -15 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 341*q - 3512. Does 20 divide g(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*a**3 + 28*a**3 - 118*a**3 + 35*a**3 + 29*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126*d**3 - 1308*d**2 + 13*d + 41870459 wrt d?\nAnswer: 378*d**2 - 2616*d + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*w = -8, -2*i + 6*i - 3*w = 10. Suppose -4 = 4*u, i*h = -h - 4*u + 11. Solve r = -4*c - 17, 3*r - h = c + 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 1, -9, -1135, -7 in increasing order.\nAnswer: -1135, -9, -7, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 374*k. Let l(h) = -195 + 25*h - 26*h + 195. Determine t(l(r)).\nAnswer: r**2 + 374*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186 - 112. Let z = -120 + i. Let f be (-14)\/(-245)*-5 + 668\/(-14). Which is bigger: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 4120.9.\nAnswer: -28846.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 10. Let n = -356\/3 - -119. Let q = -1.7 + 2.7. Which is the nearest to p? (a) -0.4 (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1016 = 12*y - 4*y. Let j = y + -122. Let g(f) = 6*f**3 + 6*f**2 - 5. Let t(h) = 5*h**3 + 5*h**2 - 4. Determine j*t(s) - 4*g(s).\nAnswer: s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnttttnnntnlnlttytn. Give prob of picking 1 t and 1 n.\nAnswer: 36\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 49 + 137 = 0. Suppose -11*h + c = -0*h. Let t(l) = -l**3 + 9*l**2 - 11*l - 7. Determine t(h).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4\/5 + 127*a**3\/5 - 943*a**2\/5 - 119*a + 2010 = 0.\nAnswer: -134, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 488405.1 and 0.18.\nAnswer: 488405.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 504971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - -43?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 504\/300*(-19)\/(-285)*-5*-15?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/12 + 4*d**3\/3 + 5*d**2\/2 - 17*d. What is z(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4635 divided by 5?\nAnswer: -927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) -1 (c) 5 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -137514377 - 1?\nAnswer: -137514378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2058 - -229. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2679535 equal to -2679508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7772 and 10614.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3*36934.72\nAnswer: 110804.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456 a factor of 648281526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.065 - -0.465. What is the smallest value in d, -2, 1, 0.006?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 8. Suppose -u*f = -f - 5. Let b be f\/(-3) + 14\/(-3). Sort 5, b, 1 in decreasing order.\nAnswer: 5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -6*z - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 316024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0 = -3. Suppose -3*d - 5*w = -0*d - o, 5*w = -2*d + 2. Put -5, -1\/4, d in increasing order.\nAnswer: -5, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51994612, 103989222, 155983832?\n\"Answer: 51994610*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2415508, 2415534, 2415586, 2415670, 2415792, 2415958, 2416174, 2416446?\nAnswer: 2416780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111 - 10010100?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 1723, -436 in descending order.\nAnswer: 1723, -46, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658*z**2 + 663*z**2 + 656*z**2 - 262*z + 662*z**2 - 2637*z**2.\nAnswer: 2*z**2 - 262*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 - -6) - -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 58, 98, 142, 190, 242?\n\"Answer: 2*h**2 + 30*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - s**2 + s + 3. What is o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057865351 to five dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:59 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 1\/4 (b) -2\/3 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507551, 507504, 507457, 507410?\nAnswer: 507363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 549a?\nAnswer: -5495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o - 18. Let t(w) = w**3 - 4*w**2 + 5*w - 7. Let a be t(4). Let r be x(a). Let p = r - 19. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - c. Suppose 6*m - 462 = -c*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 935061861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -961294587*b**2*z**3 + 5*b*z + 60*b - z**3 - z**2 - 110*z - 5 wrt b.\nAnswer: -1922589174*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8*u = -3*u + 5, -4*u = z + 15. Let c be 10\/3*(0 - (-6)\/z). Suppose -c*b + 268 = -52. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - -50) + -36 - -29.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a minute in seconds?\nAnswer: 825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from lmlllbllllllmlmll.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/70 + (-372)\/21 + 2. Let q = y + 20. Let i = 4\/7 + -5\/7. Which is the nearest to 0.1? (a) q (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 947664, 947663, 947662, 947661, 947660?\n\"Answer: -t + 947665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2. Let u be (-2*1 - -5)\/1. Let g(x) = u*x**2 + 0*x**2 + 4*x - 4*x. Determine d(g(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dde when three letters picked without replacement from wwejeerwdjjzjejdwjd.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5351066*p**4 - 81*p**2 - 6*p - 645 wrt p.\nAnswer: 128425584*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7594*s**2 + 6372*s**3 - 6345*s**3 - 15190*s**2 + 7596*s**2.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 3568485217.\nAnswer: 3568485217.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*o + 3*o + 0*o)*(-4*o + 5*o + 0*o) + (4 + 1 + 5)*(o**2 + 0*o + 0*o) to d*o + l + y*o**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045135 rounded to 5 dps?\nAnswer: 0.00451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2611.99996537 + -2612. Round p to 6 decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 14) in base 10?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w - 47*w = -g + 6, -w = 2*g. Solve 4*n - g*s + 14 = 0, -18 = 4*n - n + s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -591*i**6 + 711*i**5 - 32713*i**2 - 236 wrt i?\nAnswer: -70920*i**3 + 42660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96, 26, -130, -408, -844, -1474, -2334?\n\"Answer: -6*n**3 - 7*n**2 - 7*n + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u**3 - 5*u**2 + 3*u. Let n(g) = -8*g**3 - 6*g**2 + 2*g. Suppose 5*d = 9 + 6, -4*l - 5*d = 5. Determine l*n(b) + 6*x(b).\nAnswer: -2*b**3 + 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, 13\/109, -0.1, -7, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5941216066 to the nearest integer?\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (567\/(-35))\/(81\/720*(180\/(-27))\/5)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217956594 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90399626 is divided by 7295?\nAnswer: 7281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6*q**2 + 6)*(-3*q + 0*q - 2*q) - 498*q - 86*q**3 + 498*q - 2.\nAnswer: -56*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 12*a**2 - 12*a - 11. Let j be (-2)\/10 + 108\/(-10). Let n be b(j). Let i = 0 + n. Solve m = -i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + 10 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -101. Let t(g) = 27 - g + 3*g - y. Let c(r) = -2*r - 5. Let a be c(-6). Determine t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 0.0102747?\nAnswer: 5.0102747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0, -24, 2, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327366970?\nAnswer: 2, 5, 7, 4676671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 144*q**2 - 2*q + 2. Let p be v(1). Let t be (3\/4)\/(36\/p). Solve 4*k = -3*j - 5, 2*j + 1 = -t*k - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * -6\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 11*g + 7. Suppose 7*c - 50 = 2*c. Let l be i(c). List the prime factors of (l + 3)\/3 + 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362714 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = x - 5 - 2, 5*a = x - 22. Put -462, -1, a in descending order.\nAnswer: -1, a, -462","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2780, -4971, -7152, -9323, -11484?\n\"Answer: 5*n**2 - 2206*n - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(9*d + 6*d - 5*d)*(29 - 46 + 24) + 2*d + 3 - 3 as n + r*d and give r.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -3*r**5\/20 + 11*r**4\/16 - r**3 + r**2\/2 + 3. Factor t(j).\nAnswer: -j*(j - 2)*(j - 1)*(3*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5629\/9 or 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -91743.\nAnswer: -4\/91743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963094?\nAnswer: 2, 11, 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2768\/5 + 543. What is the common denominator of v and -32\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 8. Let r(w) = -1828*w - 16. Calculate r(d) + 2*y(d).\nAnswer: -1824*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (856\/16478)\/(((-12)\/4510)\/(12\/(-20))).\nAnswer: 82\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 22827*o - 22836*o - 3.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**3 + 2912*o**2 - 234048*o = 0.\nAnswer: 0, 92, 636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-70))\/(((-54)\/(-30))\/3)*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13267 is divided by 93.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s + 121. What is i(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 2:29 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/7 + 82459782*g\/7 - 566634637290627\/7 = 0 for g.\nAnswer: 13743297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22\/7 in -13, -11\/14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1469 divide 81351961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 322*g + 349. What is the smallest common multiple of j(3) and 50?\nAnswer: 13150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 1\/8, 0.02, -2\/7, 67, 3 in decreasing order.\nAnswer: 67, 3, 1\/8, 0.02, -1\/7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2 - 0)) + 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269 - 237. Calculate the highest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 64 = -52. Let k(o) = -o**2 + 2*o**2 - 4 - o + 0*o**2. Give k(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.24 or -106270?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 8, r: 6}. Give prob of sequence rdr.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.035158?\nAnswer: 0.035158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkdbbbkkbkrkkkbd. What is prob of picking 1 b and 1 k?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:56 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/6 - r**3\/3 + r**2\/2 - 42*r. Determine a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**3\/3 + 8*u. Let x(o) = -4*o. Give c(x(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/21)\/((-22)\/(-154)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4477 + 5002. Suppose 5*b - 15800 = -3*h, 3*b + 2*h = -0*h + m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i. Let p(h) = 3*h + 1. Let k(a) be the first derivative of a**2\/2 + a - 3. Let x(q) = k(q) - p(q). Give x(v(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 15983.14 centuries?\nAnswer: 1598.314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085 is divided by 285?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*f**3 - 12*f + 12*f + (2*f**2 - 2*f**2 + 2*f**3)*(-1 + 2 - 3) + (0*f**2 - f**2 + 0*f**2)*(-431*f + 5 - 5 + 247*f).\nAnswer: 191*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + -4*-2*sqrt(114) + sqrt(114))\/(sqrt(3) + sqrt(96)\/sqrt(8)))\/((sqrt(72) - (sqrt(72) - 4*sqrt(72)))*6*-3).\nAnswer: -5*sqrt(19)\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 138\/8 - 1 - (-49)\/(-196). Solve -4*f - q = 5*c, -f = -c - 5*f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Suppose -10 = -5*u + 4*h + 1, u = 2*h + k. Suppose c = 6*d - u*d + 21, -d = 2*c - 7. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g**3 - g**2 + g + 1. Let b = 52 + -48. Let y(w) = w**2 - w - 13. Let o be y(b). Calculate the remainder when 131 is divided by q(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2686035 and 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -1)\/(924\/(-72) - -13)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -9*l + 14*l. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/21)\/(4\/14). Factor -9 + 15 - o**2 + 3*o - f*o**2.\nAnswer: -3*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/(-3))\/((-1)\/(-2)). Let w = k + 59. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1621*s - 171*s + 154892 - 56332 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*a + 217 = 0, 2*a = 4*u - 480 + 66. Is 101 not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -45*m**7\/7 - m**3 - 7*m**2 - 70. What is the third derivative of r(u) wrt u?\nAnswer: -5400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 5*v - 4. Let u be w(-3). Suppose 0 = -u*g + b + 74, 0 = g + 3*g + 3*b - 128. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17545.78 tonnes?\nAnswer: 17545780000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 255\/(-34) - (-7)\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 8) + 3 + 11 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 428*d**3 + 852*d**2.\nAnswer: d**2*(d + 2)*(d + 426)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**3 - 4*g**2 + 4*g - 4. Let r be d(3). Suppose 6*v - 25 = 7*v. Let b = v - r. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -34.92. Let y = 71\/3 - 565\/24. Which is the second biggest value? (a) -1 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(3822\/(-56)))\/(120\/63)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -85260 divided by 245\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.38 times 0.11?\nAnswer: 1.0318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 - 1 - (-1 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 6 + (-4 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.52661 grams to milligrams.\nAnswer: 9526.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -106 in -4, 0.0454, -0.17, -0.3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8269*p + 260576 = -8017*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-6)*x))\/(x*x**5*x*x))\/(x\/((x*(x\/(x\/(x*x**(-3\/4)))*x*x*x)\/x)\/x)*x**(-2\/3))*(((x\/(x\/(x**(2\/7)*x)))\/x)**(-6\/5))**6 assuming x is positive.\nAnswer: x**(-899\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -56, -172, -432, -884, -1576?\n\"Answer: -8*o**3 + 36*o - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, 8, 1898 in ascending order.\nAnswer: -17, 4, 8, 1898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s - s)*(-2*s + 19*s - 2*s).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 250\/19 at most 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-7)\/(-6*2\/4). Suppose f*u - 40 = -u. Solve -4 + 1 = b - 2*g, 3*b - u*g = -10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*l**2 - 30*l**2 + 544*l**2 + 75*l**2.\nAnswer: 994*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 12 = 0, 3*x = -m + 2 + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2. Suppose 10 = 2*c, 2*v + 5*c - 100 = -45. Suppose 3*j = 3, 3*z - 6 + 2 = 5*j. Let u(y) = z*y - 17*y - v*y. Give u(r(q)).\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.5 + 6.5. Let v = 29 - n. Which is the nearest to -0.1? (a) -5 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 1, q: 2, i: 1, e: 2}. What is prob of sequence ity?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 10*n - s = -4, -12 = 2*n - 3*s. Solve 4*c = -3*q + 22, 0*q + 5*q - 3*c + 2 = n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - 4*x**2 - 460*x + 2. Let u(i) = 2*i**3 - i**2 - 2*i + 1. Give 2*u(d) - w(d).\nAnswer: d**3 + 2*d**2 + 456*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15292 + 15292.00000675. Round v to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((57\/76)\/(15\/8))\/((-36)\/(-1620))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 2, 37.\nAnswer: -9, 1, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 7*v**2 + 12*v + 38. Let u be d(-6). Suppose 0 = 3*i + u*j - 470, -36 = 4*j - 16. Calculate the highest common factor of 30 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**2*t))\/t**(-6)*(t**(-1\/3))**24)**(4\/11))**(-4\/25) assuming t is positive.\nAnswer: t**(64\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 62a - -4?\nAnswer: 62e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 860 - 200. Suppose -4*o + 4*l - l + 880 = 0, l - u = -3*o. Is 34 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*l - 3*l, 0 = l. Suppose z = u - 3*p + 8*p - 72, -2*u - 5*p + 134 = 0. Is u a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(48) + sqrt(432)*-3)\/(sqrt(240)\/(-2*sqrt(10)) + sqrt(2400)*-1 + sqrt(2400)).\nAnswer: 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(3*sqrt(2)))**2 + (2 + sqrt(891) - sqrt(891)) - (((sqrt(1100) + -1)*1 - sqrt(1100)) + 4)**2.\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*d - 1548 = 0. Let p = d - 238. Let o = p - 156. List the prime factors of o.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2704 + -2707. Let g(x) = 2*x**3 + 7*x**2 + x - 2. What is g(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68806 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - 2*t**2 + 3*t**2)*(2*t - 2*t + 2*t**2) + 3*t**4 + 3*t**4 - 2*t**4.\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/32? (a) 3 (b) 0 (c) 0.304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5\/4 - 68251*n**4\/4 + 21202847*n**3\/2 + 35421501*n**2\/2 + 14195903*n\/4 - 14173151\/4 = 0. Calculate n.\nAnswer: -1, 1\/3, 641, 22111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (172 - 170) + (-2 - -3) + -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 12*d**2 + 13*d + 2. Calculate k(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.345417918665 and -10?\nAnswer: 9.654582081335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 9 = 2*n - 4*q, 17 = -3*n + 4*q. Which is greater: n or -9\/2764?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 2. Let r = 1 - 2. Let c(s) = s**2 + s + 6. Let h(g) = g**2 - g - 1. Let i(p) = r*c(p) - h(p). Calculate 2*i(w) + 5*t(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1443.330738 + -0.020738. Let z = -1460 + i. What is z rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 3:25 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 3:44 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a4922 (base 11) in base 4?\nAnswer: 211110033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 536040\/287 or 1867?\nAnswer: 1867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - (sqrt(120) - (2*sqrt(120)*-1 - sqrt(120) - sqrt(120))))\/sqrt(3))\/(sqrt(8)*-2*3 - sqrt(88)\/(-2*sqrt(11))))**2.\nAnswer: 320\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 - 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (6*sqrt(136)*-6 + sqrt(136))) + sqrt(136))\/sqrt(8).\nAnswer: 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*s + 276*s - 29979 = 7*s - 4359 for s.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**8*(w*w**(1\/2))\/w*((w*w**(1\/4))\/w)**(-9\/7)*w**1*w*w*(w\/(w\/(w*(w\/(w\/w**(-4)))\/w)*w))\/w*w*(w**(-2\/5))**39 assuming w is positive.\nAnswer: w**(-1319\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (-5)\/(15\/6). Suppose -3*s + 9*s = 54. Solve 4*h - 4 = b, 21 = w*h + b + s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095 smaller than 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -54. Suppose 10 = g - 2*r - h*r, 5*g = 2*r + 4. Suppose -4*s - 17 = -5*i, i - 3*i - 5*s - 13 = 0. Solve a + i = -g*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -31462 and 4.667?\nAnswer: 31466.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000097027951 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.2 (b) 5 (c) 0.05 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 5) to base 6.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -97*z**4\/4 + 42*z + 4. Differentiate o(k) with respect to k.\nAnswer: -291*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*q = -11, h + 67*q = 71*q + 2. Let m(s) be the second derivative of -s**3\/6 - s**2\/2 - s. Let k be m(-3). Sort k, 16, h in decreasing order.\nAnswer: 16, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*x**2 + 30*x**2 + 584028 - 584028 + 93*x**2.\nAnswer: 265*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(0 - 3\/(-2)). Suppose 15 = v - 4*v, -3*m = -2*v - 58. Suppose m = 2*o - 24. Solve 2*s = -r*s - o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 3384762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 24332 and 4.\nAnswer: 24336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -99.4?\nAnswer: 29.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 8. What is t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 6*f**2 + 6*f - 3. Let j be r(-7). Solve -3*v = q + 3, -3*v - v = -j*q + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)\/v*v\/(v\/v**4))\/((v\/v**(4\/7))\/((v\/v**2*v)\/v)))**(5\/4) assuming v is positive.\nAnswer: v**(-85\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285748027 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 67, 133, 219, 325?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 17*q - 15*q + 1 + 2*q**4 + 8*q**2 in the form j*q**3 + u*q**2 + c*q**4 + p + x*q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109600 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*y - 6*y + 50*y + 34*y + 221*y + 3 + 2*y**2 in the form l*y**2 + o + k*y and give k.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w - 8 = 22 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 21) + 18 + (-2 - 8) + -38.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnodoqqqoooqononoon. Give prob of picking 2 n.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*t - 4*t. Suppose 8*b = -30 + t. Let m(a) = a**3 + 10*a**2 + 5. Let f be m(-10). Put -4, f, 3, b in decreasing order.\nAnswer: f, 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -6*n - 8. Let h(j) = 4*j + 6. Let p be h(n). What is the second derivative of 16*w - w**p + 2*w**2 - 9*w**2 wrt w?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*q + 34*q - 2. Suppose -502 = -3*s - q*s + p, -2*s + 5*p = -210. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -636124 divided by 436.\nAnswer: -1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18144 - 3.18144. Which is the nearest to 0.34? (a) 5 (b) r (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 487 + -1 + 14 + -7. What is the highest common divisor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -2342548?\nAnswer: 2342543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 7*t**2 + t + 8. Let s be i(-7). Let l(w) be the second derivative of -w**3\/3 - 3*w**2 + w. Let z be l(-5). Sort s, -2, z in decreasing order.\nAnswer: z, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -663 + 652 - 3*r + 0*r**2 + 11*r**4 - 3*r**2 wrt r.\nAnswer: 132*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/5*5628\/3484.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h = 12. What is the closest to 2 in 0.1, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -4, 34433 in decreasing order.\nAnswer: 34433, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a9 (base 12) in base 10?\nAnswer: -2145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 118\/(-5) - 16\/40. Let p be (-21)\/(-6)*(-528)\/84. Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-22*i - 438*i - 150*i) - 3 + 3 - 2*i.\nAnswer: -612*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1328 and 937734?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123783171*h**2*s**3 - h**2*s**2 - h**2*s + 216*h**2 - h*s**2 - 388*h + 2*s**2 wrt s.\nAnswer: -742699026*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 4*w - 5. Let r be t(2). Suppose 5*q + r = -3. Calculate the remainder when 12 is divided by 2 + 10*(-1)\/q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from aziol?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 12:47 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 938.3235nm?\nAnswer: 0.9383235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1533568, 3067138, 4600710, 6134284, 7667860, 9201438?\nAnswer: 10735018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, v: 1, u: 1, l: 1, e: 1}. What is prob of picking 1 e, 1 l, 1 k, and 1 v?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 241 + -241. Suppose j = 5*m - 14*m + 11034. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*n + 4*n + 26 = 0, 91 = 3*t + n. Let w be (-56)\/(-3) + 10\/t. What is the greatest common factor of 19 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 13*l**3 - 11*l**2 - 11*l + 230. Let i(f) = -7*f**3 + 6*f**2 + 6*f - 116. Give 11*i(z) + 6*n(z).\nAnswer: z**3 + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 q when three letters picked without replacement from kkkkkkkkkkkkkkkqkkkk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -34. What is the remainder when 35 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 154 - 90 + 11*p + 3*p + 12*p. Is y(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 0)\/(-1)*(-324 + 323).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 974824542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s - 17. Let z be h(-7). Let v = z + 37. Are v and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6522842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.6 (c) -12 (d) 52 (e) 0.17 (f) 1\/4 (g) 1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2625*c**2 - 1274*c**2 - 1340*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 156 = 32. Suppose -23*f = -13*f - 990. Let a = o + f. What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 + 344*f**2 - 273*f + 5134. What is s(114)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 - 166. Let q be (-12)\/l + 2\/(-4). Let u = 1 - -2. Which is the closest to 0? (a) u (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 87882904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 16 - 2 = -3*c, g - 4*c - 1 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 15*g - 43. Give b(8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/103? (a) 2\/9 (b) -295 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v. Let m(a) = -77*a - 56. Let k(g) = 14*g + 10. Let o(f) = 28*k(f) + 5*m(f). Calculate o(b(u)).\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 2 (b) -9080 (c) 203 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11851\/(-5079))\/((-7)\/(-36))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -20.222?\nAnswer: 22.2442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 16330 = 36910. Let g = a - 7198. Let l = g - 24198\/7. Calculate the common denominator of l and 29\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 4*f**2 + f + (4*f**2 - f**2 - f**2)*(-1 - 2 + 2) + 4*f**2 + 0*f**2 + 0*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*130\/156*18\/(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(209)\/(sqrt(275)*1 + sqrt(11)))**2.\nAnswer: -89\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 773919117516485 - 4.\nAnswer: 773919117516481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/21 - 186*(-290)\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -11*x**3 - 4*x**2 + 2*x - 1. Let v be d(2). Is -201\/2 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 23, -2296, 1 in increasing order.\nAnswer: -2296, 1, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -151 + 53. Let y be 12\/k*(35 + -14). What is the greatest common factor of y and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**4\/6 + 2*g**3 + 26*g**2. Let c = -11 + 4. What is the tens digit of h(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*o + 22 = 0, s = 2*o + 2*o - 18. Let d(y) = 3*y**2 - 2*y - 3. Is d(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15056390 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s**2 - 11*s + 5. What is d(-4)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3463416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -d - h - 3*h, 5*h = -3*d + 37. Let u be (0 - 3)*(3\/d + -3). Let w be (-156)\/(-48) - ((-2)\/u)\/(-1). Solve a - w*a + 4*b = 14, -a - b = 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3))\/b)\/(b\/b**(-11\/4)))**(-10) assuming b is positive.\nAnswer: b**(135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*l**2 + 46*l**3 + 47*l**2)*(-5 - 1 + 0) - 2*l**3 - 2*l**3 + 3*l**3 to the form z*l + s*l**3 + t + d*l**2 and give s.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 71 = -3*s, -112795*s + 112792*s = 2*p - 65 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 10:36 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 115 + 10*d - 47 - d - 8*d.\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 21 = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289572 and 9204.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126\/((-1)\/(4\/(-6))) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1172 + 1172. Put -4, -1, t, 8 in ascending order.\nAnswer: -4, -1, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/60 of a minute?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**3 + 2*m**2 - 7*m + 1. What is the remainder when h(-5) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -4ab?\nAnswer: 4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163 + 17. Let p = 1173 + -1319. Is t equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 896*z - 2681. What is w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -1 (c) -2\/7 (d) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (4 + -7) - (-3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 670808, 24\/7.\nAnswer: 2\/9, 24\/7, 670808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) -5 (b) -8 (c) 6\/7 (d) 2 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20622033 (base 8) in base 16?\nAnswer: -43241b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-13)*l**(1\/9) assuming l is positive.\nAnswer: l**(-116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 30 = 54 - 36. Let p = 5 - 3. Let f = 7 - p. Solve -f*m - 1 = d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -1\/9, -1\/5, -0.3, -5, -0.4, -1.098?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*z - 37956, 5*z - 23020 = -r + 14926. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125 - -125. What is the third smallest value in g, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/5 - (-4)\/140*-224?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111101110000111 (base 2) to base 8.\nAnswer: -675607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-25)*30\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and -0.3969433686907.\nAnswer: 10.6030566313093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 754*k + 2 + 755*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -592*l**2. Let o(x) = 692*x**2. Calculate v(o(c)).\nAnswer: -283487488*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**4\/12 - 2*k**3\/3 + 3*k**2\/2 - 3*k. Suppose 136 - 16 = -24*s. Calculate l(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 33*h - 2*h - 954 = 0 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t + t)*(3*t - t + 3*t) - 2*t**2 + 4*t**2 + 2*t - t.\nAnswer: -3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211020111 (base 3) to base 6.\nAnswer: -203021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**3\/6 - p**2 + p. Let i(k) = -2*k + 1. Let m(w) = -3*w + 7. Let z(n) = 3*i(n) - m(n). Determine -5*j(t) + 2*z(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2886*m + 6693*m - 3317*m as x*m + n and give x.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 8, 8.9, 235, 0.3, -1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 - 2.7. Which is the closest to i? (a) 5 (b) 10 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - -3 - (-830)\/416. Let l = 409\/1456 - v. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10b0 (base 14) to base 16\nAnswer: -b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.853901 - 265.892281. Let y = x + 267.0383936. Let l = -29 + y. Round l to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2718?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 7 - (-5 + 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*n - 17*n - 765. Suppose -b = -4*b + n. List the prime factors of b.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15925 - -58128. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2437421 is divided by 348202.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 3:04 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2040 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anr when three letters picked without replacement from kmwrnraa?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j**3 - 2*j**2 - 4*j - 2. Let s be r(-2). Suppose -y + 5*c + 2 = -15, 3*y - 4*c = s. What is the greatest common factor of y and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 4*q - 61. Let u = -17 - -17. Suppose -14*v + 12*v + 16 = u. What is the highest common factor of v and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**4\/4 - 5*x**3\/3 + 3*x**2\/2 + 3. Let b be o(2). Let p(h) = -5*h + 5. Is p(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/7 + 4577276*g + 36665047265308.\nAnswer: (g + 16020466)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 9*j**2 - 9*j + 4. Let x be t(-8). Suppose 11*c + 16 = x*c. What is the smallest common multiple of 0 - 0 - -10 - 0 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d + 3. Let o(s) = s**2 + 3*s - 2. Let z = -5 - -8. Let f(r) = z*c(r) + 4*o(r). Calculate the remainder when f(-4) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2053 - -2088. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 - 94.0000107. What is c rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(180)\/sqrt(6))\/sqrt(10).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 - 5.08. Let w(m) = -m**3 + 5*m**2 + 4*m + 13. Let a be w(6). Sort a, s, -2 in descending order.\nAnswer: a, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/4*80\/(-24). Let u = p - 17. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 9:27 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*i + 2*i - 30 = 0, -5*i = y - 41. Let b = 33 - y. Suppose n = b - 5. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 52*a**2. Let o(t) = -2*t - 257. Give n(o(y)).\nAnswer: 208*y**2 + 53456*y + 3434548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (28 - 9) - -66.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2814923018873\/3726 - 755481213. Let u = x + -267\/46. Calculate the common denominator of u and -28\/99.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let p = g + -6. What is the units digit of 0 + 5 + (p - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3 + 3564008\/12. What is g rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c - -573a8c1?\nAnswer: 573a920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*u = -20*f + 19*f + 40, 3*f = -4*u + 6*f + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1 + 3*n**2 - 9*n**2 + 14*n - 10*n + n**3. Determine a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 48\/9)*183. What is u rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -5040660?\nAnswer: -5040665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21695083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 37*i + 1123. Give w(20).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (1675\/35)\/5)\/(1\/(-28)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*1\/4)\/((-2)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3642365 and 885.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - -0.03. Which is the closest to 0? (a) 0.2 (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 9 = 3*z + 2*z, -2*z = 2*t + 6. Suppose 3*y - 7 - 5 = 0. Let m be (-6)\/y*5\/30*-2. What is the nearest to m in t, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11532817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (-1*(sqrt(95) + -1*sqrt(95)) + (sqrt(95) - (1*-2*sqrt(95) - sqrt(95)) - sqrt(95)))\/(sqrt(4500)*2 - sqrt(4500)))**2*-4.\nAnswer: -1676\/25 + 32*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 350111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -40102664.\nAnswer: 1\/20051332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 14360 = -14536. What is the smallest common multiple of 3 and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i - 12. Let g be k(-5). Suppose -2*z + 3 = -g. Suppose 0 = -2*v + 4, 5*a - 456 = z*v - 6*v. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**3*x - p**3 + 5*p**2*x + 60*x wrt p?\nAnswer: 6*p**2*x - 3*p**2 + 10*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -1\/2, 1\/4, -150 in ascending order.\nAnswer: -150, -1\/2, -0.01, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**8)\/p)\/p)\/(p*p*p**(-6)) assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7301957*x + 0 + 7301761*x.\nAnswer: -196*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -5, -39, -93, -173?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.3 - -4.2. What is the third smallest value in 7, -3, q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 769*p**3*r**5 + 2559*p**3*r**2 - 266998*p**3*r + 5*p**3 + 2*r wrt r?\nAnswer: 15380*p**3*r**3 + 5118*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 13*f**3\/3 + 4*f**2 - 20*f + 15. Is q(-6) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, u: 1, g: 3}. What is prob of picking 2 w and 1 g?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230977, -231016, -231091, -231214, -231397?\nAnswer: -231652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -3*l**2\/2 + 9*l + 2451. Let p be (-4)\/8 + (-18)\/4. Let j(s) = -2*s + 4. Give p*j(m) + 3*u(m).\nAnswer: m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022 - -20?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d3 (base 16) to base 6.\nAnswer: 14243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 2*s - 32. Let y be w(5). Let n(g) = -y + 7 - 1 + 3 - g. What is n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15.7, -4, -0.11, 5, 1, 1\/9?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -8, 73, -5, -43 in descending order.\nAnswer: 73, 8, -5, -8, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8100 and 1350?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - -3. Let z = -23410 - -23412. What is the nearest to z in -0.2, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 3*z - 90 = 0, -173*t - 3*z = -172*t + 2 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 478682*n**2*u**3 - 4*n**2*u**2 + n**2 + 234728*u**2 wrt u?\nAnswer: 2872092*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**5\/10 + u**3\/3 + 14*u. Let h(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**7\/420 + i**6\/240 + 2*i**2 - 1. Let k(r) be the second derivative of v(r). Let k(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91080 and 3839436.\nAnswer: 422337960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -123 - ((-9 + 26 - -26) + -18 - 12)\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - b - 1. Let a(k) = 3*k**2 + 6*k + 6. Let d(n) = n**2 + 7*n + 5. Let p(r) = 3*a(r) - 2*d(r). Calculate -6*o(w) - p(w).\nAnswer: -w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -10. Suppose 2*a - 14 = 2*y, h = a - 3*y + y - 11. Is 4 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -2)\/(2\/6). Let r be 88\/20 + (-36)\/(-10) + -4. Sort 8, r, y in descending order.\nAnswer: 8, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 6936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1547\/68 - (-55)\/44.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -76*f**3 - 2*f**2 + f + 1. List the prime factors of z(-1).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4615059*y + 4615055. Give q(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (1 + sqrt(52)\/sqrt(4))) + -1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 25758 = -14*i + 19802. Calculate the remainder when i is divided by 757.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12091 is divided by 4012.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -126*g + 124*g - 4*i, -5*i + 35 = 5*g. Solve -6 = -g*a + 36 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -10441433?\nAnswer: 10441433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 54 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 38.26044 centuries?\nAnswer: 3.826044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26744.1 + -26745. Which is the second smallest value? (a) -5 (b) p (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxcxxkxcc. What is prob of picking 2 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let j be (-8*n\/(-14))\/(4\/14). Solve 24 = -3*k + 3*b, b = -2*k - j*b + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9355 (b) -2\/5 (c) 0 (d) -25\/8 (e) -13\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 537091 = 595931 + 213778. What is the ten thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4 + 0*d**2 - 11*d**4 + 0*d**2 + 3*d**2 wrt d?\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -229*l**4\/12 - 135*l + 2. Let c(t) = t. Calculate c(o(z)).\nAnswer: -229*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s. Which is bigger: s or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17829 + ((-5)\/(-1) - (-2 + 9)). Let p = n - 12428. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51885 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 29*p. Let c(i) = -13*i - 42. Determine c(x(y)).\nAnswer: -377*y - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000226 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 601050 and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2 - 201)*(3 - 1 - 3)*(-1 + 6 - 3)*(a - 3 + 3).\nAnswer: 380*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2. Let v(y) be the third derivative of -y**4\/24 + 6*y**2. Let h(q) = -9*q. Let j(w) = h(w) - 6*v(w). Calculate j(l(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 5, b: 2}. What is prob of sequence bgd?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -31, -59, -105, -175?\n\"Answer: -r**3 - 9*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3715 and 10?\nAnswer: 7430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2911.311 nanometers to kilometers.\nAnswer: 0.000000002911311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + -17. Let b = 57 - n. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.2 + 7. Let m = 0.1039 + 4.0661. Let s = m + r. What is s rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**4*m + 50585*l**3*m**3 - 7831*l**2*m**3 + l**2*m - l**2 + 7*l*m**3 wrt l?\nAnswer: 96*l*m + 303510*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 84 = -3*b. Suppose -b = -3*j, 0*z - z + 195 = -2*j. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-561)\/24)\/(32991\/10988). Let n = -2\/4713 + s. What is the common denominator of n and -7\/348?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4145 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102111010 + -1?\nAnswer: 102111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Suppose 0 = -f*i + 5 + 5. What is the third biggest value in 0, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 64*a**2 - 9*a**2 + 15.\nAnswer: 55*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -9. Suppose 3*w - 5*a = -u*w + 663, 5*w - 1105 = 5*a. Round w to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 84, 100, 100, 78, 28, -56, -180?\n\"Answer: -s**3 - 2*s**2 + 29*s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -2 + 149*r - 148*r**2 + 8\/3*r**3. Find the first derivative of q(v) wrt v.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 + 118. Calculate the remainder when w is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2137898635316 + -0.4?\nAnswer: -0.1862101364684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.147 + 0.026. What is s rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36344 divided by 14\nAnswer: -2596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5254326 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -286153 take away -1?\nAnswer: -286152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 2*-2*sqrt(76))\/(sqrt(4) - -2*sqrt(4)*-3) + (-3*sqrt(171)*6)\/sqrt(9) + -5)**2.\nAnswer: 174*sqrt(19) + 144436\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.56 + 6.46. Let r = g + 35. What is the closest to 2 in r, -2\/5, -4\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 3:13 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/35))**29*l*l*((l*l*l**(-5\/3))\/l)\/l*l*l**30 assuming l is positive.\nAnswer: l**(3377\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 - -80. Suppose 3*y - 144 = 6*o - 3*o, -3*y - u*o = -168. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54332327 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281076.\nAnswer: 2, 3, 59, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155110 and 4710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6253874 is divided by 553.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1091 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srjrjsmjsy. Give prob of picking 1 r, 2 s, and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-four fifths of a day?\nAnswer: 15552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 10*b**3 - 191*b**2 + 15*b + 100. Determine y(19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39201603409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 11:18 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30) + (2*sqrt(30) - sqrt(30)) + sqrt(30))\/sqrt(6))**2 + 2)*4.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2 = 2*l. Let k(p) = -2*p + 4. Let m(f) = -1. Let u(x) = l*k(x) + 5*m(x). Calculate u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423195.\nAnswer: 3, 5, 89, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-10))\/(2128\/1330))\/((-11)\/(-120)).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0631298134 to 4 dps.\nAnswer: 0.0631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -69 + 15 - 17 - -55\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b2468c (base 14) to base 7.\nAnswer: -102020535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325735 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -37*t**7\/840 + 7*t**6\/48 + t**5\/20 - 83*t**4\/24 + 11*t**2 - 4. Let q(a) be the second derivative of o(a). Factor q(f).\nAnswer: -3*(f - 1)*(37*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*y**5\/4 + 372525*y**4\/4 - 1047465*y**3\/2 + 1484241*y**2\/2 + 1446555*y\/4 - 3989007\/4 = 0. What is y?\nAnswer: -999, -1, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/13743 and 10\/10689.\nAnswer: 96201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-242)\/(-2*(1 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72 + -15840?\nAnswer: -15902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/885046?\nAnswer: -3\/885046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-5*sqrt(108)*1 - (1 + (1 + sqrt(108) - sqrt(108)) + sqrt(108) - sqrt(108))))*-1 + 4)**2.\nAnswer: 540*sqrt(3) + 2781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/448277 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11263361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 9. List the prime factors of 0 + 1 + (i - -66).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:23 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*s - 97 = -2*y, -y + s + 85 = 0. Let f = y + 127. What are the prime factors of f?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-4 - (6 + 5)) + (-1 - 19).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13*x**3 + x**2 + 2*x. Suppose 2*t = -t - 2*j - 11, 2*t - 10 = 3*j. Let o be k(t). Which is bigger: 11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 4*o - 7. Let d be q(6). Let n = -393424 - -393440. What is the lowest common multiple of n and d*2 - 4\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiyyiiiyjiyyyy. What is prob of picking 1 y and 2 i?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Calculate prob of sequence wwp when three letters picked without replacement from wpzhwzwzjwpppt.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**4 - 36*s**3 + 0*s + 0 - 1\/4*s**5 + 0*s**2.\nAnswer: -s**3*(s + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 334824617?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t + 12. Let z = 28 + t. Suppose 3*i + 36 = 7*i. Calculate the remainder when z is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -15. Suppose n*g - 216 = -g. Does 24 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*q + 23 - 6, 4*q + 14 = -3*d. Let 2*g**2 - g + 0*g**2 - g**2 - d = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 21*z = -47 + 307 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.44, -0.08, -0.06, -3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33105, 33106, 33107?\nAnswer: 33108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 9. Let k = 1880 + -1857. Differentiate -31*o**3 - o**2 + c*o**3 + o**2 - k wrt o.\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/28)\/(-8)*-7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -126*t + 35. Let u(m) = -21*m + 6. Let a(z) = 6*b(z) - 35*u(z). Let v(d) be the second derivative of -d**3\/3 - 5*d. Calculate a(v(i)).\nAnswer: 42*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/15 and 209105\/(-12330) - -9 - (-1 + -7).\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5121680 and 137240?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 3120309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4 - 4 + (-6 + 14 - 15)*(-2*y + 3*y - 3*y))*(1 - 2 + 0 + (-1 - 1 + 0)*(3 + 0 - 2))*(-1 + 2 - 3)*(-3 + 5 - 4).\nAnswer: -132*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 152*a + 2 + 126*a - 108*a to w + z*a and give z.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 963160 by 242.\nAnswer: 3980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12\/2399, -2.2, 13.3?\nAnswer: -12\/2399","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 249.708 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (666\/1554)\/((-396)\/(-21)*1)?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2340)\/(-1716)*(-77)\/7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(931) + 1*sqrt(19)*5.\nAnswer: 1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -731 - -1314. Suppose -b = f + a, b - 5*f = -3*b - 2323. What is the units digit of b\/(-8) + (-5)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z**3\/7 + 5524646*z**2\/7 - 8944558*z + 20256786\/7 = 0 for z.\nAnswer: 1\/3, 11, 920763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 2*i**2 - i - 4. What is k(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 138. Suppose -27*h - 3838 = -31*h + d, 2*d = o*h - 1922. List the prime factors of h.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 4, -235, 1, -3, 13, 3 in decreasing order.\nAnswer: 13, 4, 3, 1, -3, -48, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099?\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 576*j + 18. Let g be u(4). Let k = -1171 + g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-15)*(6 + -12 - 90). Let z = 0 - -2. Suppose -4*y - 40 = -3*r, z*r - 3*y = -7*y. What is the highest common divisor of q and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11848, -11814, -11780?\nAnswer: -11746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157 by 2.\nAnswer: 157\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23292)\/(-30) - (-2)\/(-5)*1. Suppose -7*t + x = -3*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3009 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-226822)\/(-304) + 1*(-3)\/24. Let r = -683 + i. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 15 = -2*x. Let s be (2 - -1)*(-2)\/(-6). Let v = s + x. What is the remainder when 60 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by (77 - 84)*(-2)\/(-7)*-59.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/55079024 and 67\/3934216.\nAnswer: 55079024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 83 - (51 + -20 - -14)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/66 and 43\/1476?\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.21\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1290)\/172*3\/15*-4 + -41. Which is greater: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*j**2 - 17*j - 17*j + 2 - 542*j**2 + 34*j to the form f + x*j**2 + r*j and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f - 57 + 0 + 1 + 56.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1456 and -168.\nAnswer: -244608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22158 divided by 9?\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/120 - 3*l**5\/20 - l**4\/2 - 2*l**3 - 18*l**2. Let j be r(-12). Suppose j = 8*w - 196. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g*(g*g**(-1\/3)*g)\/g)*g)\/g)\/g)**(-44))**(2\/33)*(g**0)**(-22)\/(g**5*(g\/((g\/(g*g**(3\/5)\/g*g))\/g))\/g) assuming g is positive.\nAnswer: g**(23\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.49416891 to four decimal places.\nAnswer: 3.4942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111369344.\nAnswer: 2, 59, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 9. List the prime factors of z - 186*(56\/12)\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966599503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41, -94, -153, -218, -289, -366, -449?\n\"Answer: -3*a**2 - 44*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.946447 to two decimal places.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037696 is divided by 356.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*h**2 + 78*a**2*h + 6*a**2 - 21*a*h**2 - 7*a + 2807*h**2 + 24*h - 2 wrt h?\nAnswer: 2*a**2 - 42*a + 5614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*i. Let d be (((-36)\/(-15))\/i)\/(2\/5). Is 2 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.1 + 16.1. Let r = 2 - n. Sort -2, r, 4 in decreasing order.\nAnswer: 4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4517 - 6721. Let a = 39685\/18 + g. What is the common denominator of a and -87\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2001 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 288, 1131, 2536, 4503, 7032?\n\"Answer: 281*g**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1630)\/(-60) + 1\/(-6). Calculate the highest common factor of h and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1491 - 753. Suppose 5*h = -l + 248. Is h smaller than -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588939 by 588939.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1751.957m to kilometers.\nAnswer: 1.751957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j + 10*j + 9*j + 18 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208 and 40.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*b - 95*b = -21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - c?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -778, -1540, -2286, -3010, -3706, -4368, -4990?\n\"Answer: b**3 + 2*b**2 - 775*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from {u: 2, z: 2, o: 1, q: 3, h: 2, m: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/4)\/(5\/8*-2). Let b be ((-8)\/(-10))\/(1\/40). Find x such that 24*x**k + 11*x + 37*x + 6*x**3 + b - 2*x**3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(6\/(-4) + 1). Suppose -2*g - 5*f - 6 - z = 0, -3*g + 3*f - 18 = 0. What is the units digit of 90\/4*g\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -279060.\nAnswer: -279059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1))**49\/(p**6*p**(1\/7)) assuming p is positive.\nAnswer: p**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (-4 - -11)) + 46.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/4*1 + (-34026)\/(-212).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -30 + -10*1\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/20*(3 - 8). Sort y, 3, -2, 5.\nAnswer: y, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49298\/3 + 2\/3*k**2 + 628\/3*k.\nAnswer: 2*(k + 157)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**2 - 2*n**2 + 1 - 3*n**3 - 7 - 6*n**2 to the form w*n**3 + f*n + u + v*n**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -530, -961, -1376, -1769, -2134?\nAnswer: -2465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54153*v + 54149*v = -88 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**5 - 319*r**3 + 47*r**2 + 8*r + 1330.\nAnswer: 40*r**3 - 1914*r + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0 + 0*m - 5*m**2 + 2\/3*m**3 + 0*m**5 + 0*m**6 - 11\/210*m**7 + 0*m**4. What is the first derivative of b(n) wrt n?\nAnswer: -44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 12 - 2. Factor 0*c**4 + 3*c**3 + c**4 - s*c**3 + 3*c**2 - 4*c**2 - c.\nAnswer: c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213701 (base 8) to base 4.\nAnswer: -101133001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 62*a - 4 + 38*a - 4*a**2 + 2 in the form i*a + y + p*a**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84928 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4569840.\nAnswer: 2, 3, 5, 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02244740988 to five dps.\nAnswer: -0.02245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -5533.\nAnswer: -2\/5533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -42839016 divided by -162269\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:05 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80861116*p**3*q + 74*p**3 + 147*p**2 + p + 19 with respect to q.\nAnswer: -80861116*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1\/2, 1\/3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 261072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*o = 60, 9*p - 6*o = 12*p + 78 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 24*f = -28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001462 to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 2*m**2 + 2*m**2 + (-4 - 2 + 1)*(0*m + 0*m - m**2) + 2 - 2 + 3*m**2 + (2*m - 1 + 1)*(m + 2*m - 2*m) as b*m + h + x*m**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x**3\/17 - 124*x**2\/17 + 334*x\/17 + 276\/17 = 0. Calculate x.\nAnswer: -23, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1656 and 3790890?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/115 and -58\/1315.\nAnswer: 30245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26053*c**2*t**3 - 4664128*c**2 - 56*t**3 wrt t?\nAnswer: -78159*c**2*t**2 - 168*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -23, -41, -61, -83, -107?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6\/13)\/o**(-3\/2) assuming o is positive.\nAnswer: o**(27\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 + 23508*g**3 + 34503800*g**2 - 103958400*g - 345744000 = 0.\nAnswer: -2940, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1378, 6, 3135 in increasing order.\nAnswer: -1378, 6, 3135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 7*t**2 - 5*t + 9. Let m(d) = -4*d**2. Let g be m(1). Let p be 9 - 6*(-2)\/g. Let k be f(p). What is the highest common factor of 75 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + 4*p**2 - 4*p**2 + (-3*p + 0*p + p)*(2*p**2 + 0*p**2 - p**2) + (-3*p + 3*p + 9*p**2)*(-2*p - p + p))*(4 - 5 + 6).\nAnswer: -85*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y. Let x(u) be the third derivative of u**6\/90 + 25*u**3\/6 + 18*u**2. Let m(d) be the first derivative of x(d). What is w(m(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/27 in 2, -0.1, -12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 252*q**2*x**2 - 27*q*x**2 + 5*q*x + q wrt q?\nAnswer: 504*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4348163 - 1235*l + 4348163.\nAnswer: -1235*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -2\/7, -3, 2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6587.979 years in centuries?\nAnswer: 65.87979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4495, -4441, -4379, -4303, -4207?\nAnswer: -4085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 10*q**2 + 8*q**2. Let f(b) be the first derivative of 3*b**2\/2 + 1. Give f(n(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11556, -22881, -34212, -45549?\n\"Answer: -3*k**2 - 11316*k - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20166 - -57158. Let j = k - 57292. What is j rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 1. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.43 - 8.93. Let n = k + 8.2. Let h = -6 + 5.6. Which is the closest to -0.1? (a) 5 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28326 - 19304. List the prime factors of g.\nAnswer: 2, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 4. Let t(a) = -184*a + 183*a + 63 - 62. Calculate t(p) + y(p).\nAnswer: -2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2482821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a5bb (base 14) in base 12?\nAnswer: a7849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 2*q - 14. Give t(-11).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2 = -f - 4*t, -5*f + 4*t - 11 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 7 - 4 - l - 8*l to the form j*l + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2. Let z(h) = 7*h**2 + 3*h + 6. Let g(t) = -6*p(t) + z(t). Suppose -d = -0*s + 3*s + 15, 3*s = 4*d. What is the units digit of g(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 6*p + 12*p)*(-1 - 2 + 1)*(-5*p + 3 - 3) in the form n*p + k*p**2 + r and give k.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 217*a*m - 51527*a - 2*m**3 - 11*m**2 + m wrt m?\nAnswer: 217*a - 6*m**2 - 22*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39519 = -162*p + 41527 + 30734. List the prime factors of p.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2592, -2586, -2576, -2562, -2544?\nAnswer: -2522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 265*o**3 - 3*o**2 + 2. Let f be l(1). What is the greatest common factor of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3821?\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 41450688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - -848. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g - 68. Let m be f(-15). Suppose 6*j - 3*j = 273. What is the greatest common factor of m and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 4*i. Let r(c) = -3*c. Let d(n) = 3*f(n) - 4*r(n). Let x(q) = 58*q. Give d(x(s)).\nAnswer: 10092*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0*h + 1\/210*h**7 + 0 + 19*h**2 + 0*h**6 + 0*h**3 + 0*h**5 + 0*h**4. Factor b(z).\nAnswer: z**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4519 - 4519 + 13*h**2. Let l(n) = 91*n. Give l(c(a)).\nAnswer: 1183*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112 a factor of 3834428874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/24)\/((-153)\/4284).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 2. Let z(q) = 5*q - 8. Let r = -7 - -12. Suppose 1 = -r*i - 44. Let y = 4 + -6. Determine i*l(k) + y*z(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-198)\/(-12)*4\/3. Calculate the highest common divisor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120543 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Suppose 2*f + 2*p - 4 = 0, f + p = -3*f + 8. Suppose -u*j + 50 = -b, f*b = 3*j - 5*j + 20. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 309*o + 82080.\nAnswer: -(o - 171)*(o + 480)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 214818498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.602787 + -1.601. What is x rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.62 times -1?\nAnswer: 13.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 3*q + 2*q)*(3 - 1 + 1).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 5*f - 1 = 0, -4604*x = -4601*x - 4*f + 37 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4005950.\nAnswer: 2, 5, 13, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 185729\/5 or 37146?\nAnswer: 37146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -10*d - 21. Suppose -4*h + 316 = -5*x, -6*x + 70 = h - 5*x. Suppose -4*w = -t + h, 0 = -2*t + 1 + 3. What are the prime factors of y(w)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -3) + 7 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 94040 divided by -4702\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 605 and 0.35.\nAnswer: 605.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 22 = 5*n, z + 9 + 3 = 3*n. Let l = -3 + z. Suppose l*r - 1266 = -2*y - 4*r, 0 = y + 3*r - 635. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/27*(2 + (-80)\/35). Suppose 2\/9*d**2 - u*d + 0 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 9. Let b be o(4). Let a(x) = x + 28. Let p be a(b). Let l be (-2)\/8 - (-205)\/4. Calculate the highest common divisor of l and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 8. Suppose -18 = -4*d + 18. Let a be (2 + d\/3)\/1. Let b be c(a). Solve -4*j - 13 = 5*t, -t + b*j - 2*j + 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79278 and 160881488?\nAnswer: 482644464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 6. Calculate i(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1. Let j(g) = -g - 4. Give -6*h(d) + j(d).\nAnswer: -d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y = -12. Let o(u) = -u**2 - u. Let q(p) be the third derivative of p**5\/12 + p**4\/8 - p**3\/3 - 78*p**2. Calculate y*o(x) + q(x).\nAnswer: x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 77087 (base 10) to base 5\nAnswer: 4431322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((-20)\/(-6) - 4). Let t be (4 + k)*2\/2. Suppose 4*s + 0*s - 103 = -3*r, -4 = t*s. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 10*u**2 + 10*u + 8. Suppose -205 = p - 203. Let h be 532\/(-60) - p\/(-15). Give i(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -198*n**2 - 9 - 8*n**3 - 186*n**2 + 392*n**2. Let o(t) = -7*t**3 + 7*t**2 - 8. Give -6*d(l) + 7*o(l).\nAnswer: -l**3 + l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 875885730 a multiple of 968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 8*i**2 + 15*i - 15. Calculate the least common multiple of r(-11) and 6.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45726?\nAnswer: 2, 3, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -21. Let x = -10 + 16. Suppose 2*s = x*s - 56. What is the lowest common multiple of c and s?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -608.9 - -608.6. Which is the fifth smallest value? (a) 3 (b) -22 (c) -5 (d) 0.1 (e) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 24 + 0*k**4 + 0*k - 4\/5*k**5 + 0*k**3 - 11*k**2. Find the second derivative of x(n) wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/7616 and -59\/4760?\nAnswer: 38080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**6\/3 - 13*b**4\/4 - 9*b**2\/2 - b + 116. What is the second derivative of x(u) wrt u?\nAnswer: -40*u**3 - 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-1)\/(-4)*-118. Let c be (-7491)\/126 - (-2)\/7. Let m = v - c. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006761502531 to 7 decimal places.\nAnswer: 0.0006762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 63945.\nAnswer: 127890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 2\/(3 + -1). Let s(u) = -u**2 - 9*u - 12. Let m be s(-7). Sort m, n, -2.\nAnswer: -2, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1801, 1821, 1865, 1945, 2073, 2261?\nAnswer: 2521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 465 - 215. Calculate the remainder when x is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2882 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 53*y**2 - 3. Let k(j) = -213*j**2 + 13. Let q(n) = 4*k(n) + 18*u(n). Let t(r) be the first derivative of r**2\/2 + 1753. Calculate q(t(h)).\nAnswer: 102*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 113\/8*2 - 10\/40. Suppose 3*u = -2*u + 190. Let j = u - s. What is the remainder when 29 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0280803m in millimeters?\nAnswer: 28.0803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2170 + -2168.611. Let t = v - 1.47. Let r be (-2 + (-4)\/(-3))\/(125375\/(-75225)). Sort t, r, -1\/5.\nAnswer: -1\/5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 9 - 7 + 7*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Find the common denominator of 101\/16 and k\/32*(-3 + 82).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 - -83.6. What is the fourth biggest value in -0.1, 0, 2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059 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: Is 165 a factor of 7958754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*p**2 + 9*p**2 - 8*p**2)*(-p**2 + p**2 - p**2) - 2*p**4 + 4*p**4 + 0*p**4 to the form o*p**4 + n*p + f + m*p**3 + d*p**2 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 6:26 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1702 and 552.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 12. Suppose p*r + 26 = 3*t - 51, -5*t = 2*r + 6. Let i = r + 16. Solve -7 + 32 = 5*b, i*c = 3*b - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:18 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -465*g + 277. Determine o(2).\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqcqbjs. What is prob of picking 1 s and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 29, -7, -3, 3, -59 in decreasing order.\nAnswer: 29, 20, 3, -3, -7, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653 (base 8) in base 2?\nAnswer: 1110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71750192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*y + 68723, -2*w - y = -56574 + 10777. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205402404.\nAnswer: 2, 3, 31, 571, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/12 + 74*u. Let i(x) = -2*x**2 - x - 1. Give c(t) - i(t).\nAnswer: t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*r - 129 = -529, -5*j + r = -1952. What is the highest common factor of 4030 and j?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -6*i + 2*i - 20, -3*s = -2*i - 10. Let u(g) = -2*g + 5. What is the remainder when 13 is divided by u(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 1\/135*r**6 + 0 + 1\/90*r**5 - 1\/27*r**4 + 0*r**3 + 12*r + 0*r**2. Suppose j(w) = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**5 + 360*v**4 + 4144*v**3 - 14552*v**2 + 15252*v - 5200 = 0.\nAnswer: -13, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12310 (base 5) to base 9.\nAnswer: -1271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {n: 8, d: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*c**3*m**2 + 2*c**3*m - 4*c**2*m**2 + 32*c*m**2 + 2*c + m**2 wrt c?\nAnswer: 66*c*m**2 + 12*c*m - 8*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*y + 457 = 2*a, 2*a - y = 229. Solve 105*v**2 - 11*v**5 + 10*v**4 + 16*v**5 - a*v**2 - 5*v**3 = 0 for v.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -c + 2*j, 4*c - 80 = 4*j - 28. Let o = -264 - -285. What is the remainder when o is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 11 + (0 - 2) + 381 + -374.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 + 6*w - 39. Determine a(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z**2 + z)*(-18*z**2 - 2*z**2 - 4*z**2) + z**4 - 4*z**4 - z**4 + (z - z - z**2)*(0*z**2 - 2*z**2 + 4*z**2).\nAnswer: 42*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*j*m**4 + 74*j*m**3 + 3*j*m + 4*m**2 - 4*m wrt m?\nAnswer: -168*j*m + 444*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/267 in -324, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**4 - 11*x**4 + 5*x**3 + 4*x**3 - 1 - 13705*x**2 - 13542*x**2 + 27051*x**2 wrt x?\nAnswer: -144*x + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16399\/12630 - 2\/1263. What is the common denominator of p and -7\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from uuuzuuuuuuzzuz.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7, -2\/7, 2\/9, -0.65?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -35. Suppose h = -3*c + 7*c + 180. What is the remainder when 59 is divided by 1 + c*6\/(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61+0.348\nAnswer: 61.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-57438)\/(-26) + -3 + 8\/(-52). Suppose 11 = -2*v - 3*t + y, -t + 5 = 0. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 1. Let n be a(3). Let u be (11 - -7) + 0 + n + 1. Calculate the remainder when (-236)\/(-3) + -7*(-1)\/u is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1526 - -1807. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -773786.1798 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 3)*(-83*k**2 + 83*k**2 - k**3 - 2*k + 6) as o + t*k**2 + d*k**3 + h*k and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1400 + 804. Let a = 191 - w. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007574 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -12. Let x(z) = -z + 1. Let i(d) = 7*d - 4. Let o(j) = v*x(j) + i(j). Calculate o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -81 - (3 - 0\/2). What is the units digit of (j\/(-15))\/((-2)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 1*sqrt(84)*-5)\/(sqrt(12)*-1*4))**2 - (1*sqrt(112) + sqrt(42)\/(sqrt(6)*-2))*3.\nAnswer: -21*sqrt(7)\/2 + 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2293*o**4 + 866*o**2 wrt o.\nAnswer: 55032*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/35355 and -16\/129.\nAnswer: 1520265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/322)\/(1\/27)*175\/150.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 20*i + 51. Let s be v(-27). Let c = 280 - s. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14.6 >= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 18*u**2 + 16*u + 22. Let y be j(17). What is the nearest to 0.2 in -0.1, -2\/11, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 10*u**2 + 8*u + 13. Let p be c(9). Suppose -p*i = -0*i - 12. Find the second derivative of -v**3 + v + 3*v**i - 4*v wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/17964 and -7\/72?\nAnswer: 35928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 117 = -23*r + 62, -m = -4*r - 17 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + a - 1. Let k(o) = o**3 + 5*o**2 - 4*o - 10. Let j(n) = 2*i(n) + k(n). Let t be j(-7). Solve r - t = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 + 653\/5. Is b equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159.46 - 74609328.\nAnswer: -74609487.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7}. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5100 - -3?\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44012\/29 - 1518. Is 1 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 777 = -86*a + 17 - 3367 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187897166.\nAnswer: 2, 23, 4084721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcczc. What is prob of picking 1 z and 2 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 3*a + 2. Let t be f(-3). Let s(h) = h**2 + h. Let o be s(-2). Suppose -o*n - 1 = k, k + t*k - 8 = 5*n. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 218158*c**2*d**3 + 2*c**2*d - 2*c**2*z - 2*c*d**3*z - 3*c*d**2*z + 327*c*d*z - 5*d**2 - 2 wrt d?\nAnswer: 1308948*c**2 - 12*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1075 - 417178426?\nAnswer: -417178427.1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187489 is divided by 1533?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 take away 11083407?\nAnswer: -11083338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2341 or -2361?\nAnswer: -2341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 20, -r = -7*h - 6*r + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**5 + 215*q**2 + 2*q + 623?\nAnswer: -100*q**3 + 430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(44)*4)\/sqrt(2))\/((sqrt(55) + sqrt(275)\/sqrt(5)*-6 - sqrt(55))\/sqrt(5))*4*-6.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u + 4*u - 348 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15 - -3) + -4 - -2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 2 - 2)*(-7*u**2 + 3*u**2 + 2*u**2) + 602645*u**4 - 1247237*u**4 + 608859*u**4.\nAnswer: -35737*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmoo when four letters picked without replacement from {o: 10, m: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/20*10)\/((-10)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -123*t + 1310. Give n(5).\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -63\/127?\nAnswer: -63\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17690268?\nAnswer: 2, 3, 17, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 + 1660*w**2 + 11375*w = 0. What is w?\nAnswer: -325, -7, 0","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 uauut.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115435397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 4. Let x(f) = 2*f + 4. Let u be x(-7). Let i = 7 + u. Calculate m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 x, and 1 q when four letters picked without replacement from xsqsqsqqqqsdqqq?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.02, -0.09, 1, 4.\nAnswer: -3, -0.09, -0.02, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1257575, 1257522, 1257471, 1257422, 1257375, 1257330?\n\"Answer: o**2 - 56*o + 1257630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by 4.\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4 + -1 + (-4599)\/42. Let x = s + 113. Suppose w - 3*w + 392 = 5*q, 5*w - 947 = x*q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84847 or -0.1?\nAnswer: -84847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 2. Let p be t(-12). What is the highest common factor of p and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/3)*v*v**(-6)\/v*(v\/((v\/(v**8*v))\/v))**(-17) assuming v is positive.\nAnswer: v**(-527\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.57 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -549792 - 9.57212.\nAnswer: -549801.57212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1710 or 1711?\nAnswer: 1710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 6:03 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5038\/513876)\/(1\/(-12))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0.1. Let r = d + -0.7. What is the biggest value in 2\/7, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3602*t + 955*t + 9869*t + (-5 + 0 + 4)*(3 - 3 - 2*t) in the form c + o*t and give o.\nAnswer: 14428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/5 + 591*x**3\/5 - 26511*x**2\/5 - 113847*x\/5 - 86742\/5 = 0.\nAnswer: -3, -1, 79, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 less than 0.0102092?\nAnswer: -237.9897908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w - 5. Let g be b(-4). Suppose -z + 4*f + 156 = -27, f = 5*z - 858. What is the highest common factor of g and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -1 - (-2 + 21). Let f be ((-6)\/k)\/((-1)\/(-5)). Let p = 5 - 0. Which is the closest to -1? (a) -5 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.9 and 228.\nAnswer: 218.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = 8. Let a be (0 - 3)\/(-5*(-18)\/(-960)). Let d be (-110)\/(-44)*a\/20. Solve -p*y + d*b + 12 = b, -y - 3*b = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h - 6. Let i(x) = -x - 1. What is 6*i(z) - q(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-1 - -8)\/((-5)\/(-130))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -27*(1 - (-33)\/(-9)). Let q be 0\/(-1) + w*1. Is (q\/14)\/((-3)\/(-42)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 + 183. Calculate the remainder when 7 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 13. Let f(w) = w**2 - w + 14. Let o(g) = -6*f(g) - 7*t(g). Let j be o(-5). Is 124\/(-217)*(-413)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = -1, -q + 190 = l. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + u - 19 = 6*u, 4*t - 4 = -4*u. Let v = -5 + 10. Suppose v*z - 6 = -i, -i - z + 6 = 4*i. Sort t, -1, i in ascending order.\nAnswer: -1, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -20. Calculate the remainder when 31 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*z + 16 = 0, 2*p + 4*z + 5 = -3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 6*a**2 + 2*a - 8. Determine i(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13259407 * -2\nAnswer: 26518814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26493*o**2 + 13242*o**2 + 2*o**4 - 18*o**6 - 46*o - 7*o**6 + 13246*o**2 + 102*o**5 + 0*o**4 wrt o.\nAnswer: -3000*o**3 + 6120*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -4655d6?\nAnswer: 4655d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a**2 + 5*a. Let p(w) = -w**2. Let y(s) = f(s) + 4*p(s). What is l in y(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 2 + 4 + -3. Suppose 3*f - 48 = -5*g, -4*f - 18 = 5*g - 67. Let l = -370 - -373. Solve -h*v = -g*v + l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -43 - j - 43 + 84. Let y be h(-5). Suppose -7657 = -f - y*f - 5*r, 9566 = 5*f + r. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**5\/150 + k**4\/30 - k**3\/15 - 13*k**2\/2 - 3. Let r(n) be the second derivative of d(n). Factor r(q).\nAnswer: -2*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 43, 59, 75, 91?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.047, -19, -2\/9, -3, -1\/10 in increasing order.\nAnswer: -19, -3, -2\/9, -1\/10, 0.047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 0*b**3 + 2*b**4 + (-17*b**4 + 35*b**2 - 74*b**2 + 34*b**2)*(-4 + 2 + 5).\nAnswer: -49*b**4 - 15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -1201\/16, 0.14, -2, 0.3?\nAnswer: -1201\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -4\/27*m**3 - m - 1\/45*m**5 + 1 - 5\/54*m**4 - 1\/9*m**2. Let z(y) be the first derivative of x(y). Let z(w) = 0. Calculate w.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 + 90. Suppose -18*h - 24 = -r*h. Is -2 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04638 + -1.95362. Which is the fourth smallest value? (a) 3 (b) 2 (c) y (d) 0.4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5316 is divided by 105?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216289*z**2 + 5*z + 28*z - 216246*z**2 + (z - z + 2*z)*(4*z + z - 6*z) + 10*z**2 + 74*z - 74*z to b + q*z + d*z**2 and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3950, 635 in ascending order.\nAnswer: -3, 2, 635, 3950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:41 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-120)\/36)\/((-1)\/(-3)). Let z be (b\/(-2))\/(1\/66). Let d = z - 153. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 18 - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8879970 rounded to the nearest one hundred thousand?\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c. Let r(m) = 7*m**2 + 2*m + 3. Let b be -3 + 20*7\/28. Calculate the remainder when r(b) is divided by d(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 - 4*j**2 - 10*j\/3.\nAnswer: -2*j*(j + 1)*(j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 - 3*d**2 + 3*d + 2. Let y be k(2). Solve -l + 22 - y = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/7)\/(o**9*o))\/(o**(-2\/11)\/(o**(9\/4)*o)) assuming o is positive.\nAnswer: o**(-1803\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.228226031 to four decimal places.\nAnswer: -1.2282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2256 divided by -376?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15619803, -1 in decreasing order.\nAnswer: 2, -1, -15619803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31554470 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/9)\/y))**17*(y*y**(-3\/2)*y)\/((y*y*y**(-4)\/y)\/y*y))\/((((y**(1\/4)*y)\/y)\/y)**30)**(-32) assuming y is positive.\nAnswer: y**(-12217\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6*(-8)\/80*(-70)\/(-16) and 24\/(-36) - 144\/(-92).\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 - 1419*k\/5 - 1424.\nAnswer: (k - 1424)*(k + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-17)\/f)\/(f\/f**(-3))*(((f\/(f\/(f\/(f*f*f**13)*f)))\/f)\/f)**(-20\/9) assuming f is positive.\nAnswer: f**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 356531689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7463 take away 66061?\nAnswer: -58598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v - 254. What is h(-23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165565 and 397356.\nAnswer: 1986780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2713344112 to the nearest one million.\nAnswer: 2713000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10240658 minus -1115876?\nAnswer: -9124782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 15*x - 57. What is the units digit of k(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2316.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32945 + 296507\/9. Let h = -5 + 8. What is the nearest to -2\/5 in r, -4, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 + -1)*5\/4. Solve -2 = 3*i + 3*k + 1, 2*i + a = -4*k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/3 - -3) + -3. Suppose u*y + 5*d - 159 = -16, 5*y - 253 = -d. Let x = -30 + y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 5*b. Let j(h) = 2*h + 3. What is the units digit of j(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*c - 12 = 0, g - 5*g - c - 3 = 0. Suppose -3*s - 23 + 191 = g. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7804 is divided by 45.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 51*t + 975. Calculate i(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -6\/5779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2723.60495 rounded to the nearest ten?\nAnswer: -2720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/2)\/(27\/(-6) - -4). List the prime factors of 32 - (b\/(-28) + (-2)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4dd20d (base 16) in base 2?\nAnswer: -10011011101001000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 i when three letters picked without replacement from {i: 6, g: 4, d: 7, n: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -663680 (base 12) to base 8\nAnswer: -6143000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52695578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {m: 1, q: 2, y: 1, s: 1, v: 2, u: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (273*o + 14*o + 67*o)*(1 - 1 - 2*o)*(-92*o - 52*o + 55*o) to h + y*o**2 + g*o + a*o**3 and give a.\nAnswer: 63012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3 + 8. What is the highest common divisor of y and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2581270313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*p - 90. Suppose 0 = -n + p + 81. Calculate the highest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4462 - 4461.8. Sort 5, 29, -0.3, 0.4, u in descending order.\nAnswer: 29, 5, 0.4, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10980 divided by -30.\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54477 - -232?\nAnswer: -54245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 3)\/((4\/(-1206))\/(-2)). Suppose -834 - k = -3*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**3 - 2*i**2 + 2*i + 2. Let m(y) = -15*y**3 + 5*y**2 - 5*y - 4. Calculate 5*c(a) + 2*m(a).\nAnswer: 10*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**5\/2 + 251*y**4\/2 + 2197*y**3\/2 + 4589*y**2\/2 - 1099*y - 2420 = 0.\nAnswer: -242, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z - 84. What is the greatest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9748?\nAnswer: 2, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 35 = 8*l. What are the prime factors of 43*1 + 7 + l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-190)\/(-25) + (-2)\/(-5). Let t be ((-3)\/(-5))\/(d\/40). Solve t*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(20\/(-194)))\/(9\/(-189)). Let r = 408 - z. Are r and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -898845 and -898775 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/4 + 43329*o + 10236087\/4.\nAnswer: -3*(o - 57831)*(o + 59)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = 2. Suppose -133 = 3*v + 2*x, -x + 103 = -q*v + 3*x. Let z = v - -41. Sort 1, 0.5, z in decreasing order.\nAnswer: 1, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45027 divided by -1603.\nAnswer: -45027\/1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -20. Let t be ((-172)\/(-16) + -4)*8. Let u = 54 - t. Solve 0 = -3*o + 3*i + 3, a*o - 2*o - i - 13 = u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {j: 1, v: 1, m: 2, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d - 5*w + 320 = 0, -w = -3. Let k = d + -40. Let s be (14\/k)\/(4\/6). Solve -y - s = -0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjm when four letters picked without replacement from jjmmjjmjjmjmjjmjjj.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135345 is divided by 45114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*d - 1640*d + 331 = 31795 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 109 = 2*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 16 + -4 + 5 + 16?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-66)\/(-50))*(868\/(-56) - -18)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/84 and -81\/54334.\nAnswer: 326004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 421 = -i + 8*k, 0 = i - 2*k - 426. List the prime factors of i.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16143683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 3)*(0 + 2 - 3) - 1 + 6 + 1 + 10 - 14 + 8)*(-4 + 4 - 2*v).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 831 - 218. Suppose 3023 = 2*h - 5*w, h - 3*w - k - 901 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63747, 127497, 191251, 255009, 318771, 382537?\nAnswer: 446307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-24)\/(-72)*4\/(-16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -411\/11?\nAnswer: -411\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 314440?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.14, 5, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, b: 2, p: 2, y: 1, o: 1}. What is prob of sequence by?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 1:49 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*sqrt(39)\/sqrt(3)*4 + ((sqrt(1872) + -1 + sqrt(1872))**2 - sqrt(468)\/sqrt(36)).\nAnswer: -81*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -670.7 times -0.179?\nAnswer: 120.0553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1235 and 1653340.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -586*d**2 - 1003*d**2 - 2923*d**2 + 14700 - 4*d**4 + 10640*d + 184*d**2 - 77*d**3 - 195*d**3 = 0.\nAnswer: -35, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7154532 to the power of 1\/2, to the nearest integer?\nAnswer: 2675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + z = 13, -m + 0*m - 4 = -3*z. Suppose l + 8 = 5*d, 2*l = -0*l + d + 11. Let r = l + m. Solve r*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 34 = -13*w. Suppose f + 15 = 46. Suppose -5*d + 4*r - 1 = -9, -4*d - 5*r = -f. Which is bigger: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8336895 to three decimal places.\nAnswer: 4.834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 65273*o**2 + 195812*o - 130540.\nAnswer: (o - 65270)*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.78883 to one dp.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3331206302, 3331206304, 3331206308, 3331206314, 3331206322?\nAnswer: 3331206332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201*(-3)\/(-27) - 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nigninnnninnnng. What is prob of sequence nign?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/7315 and 121\/2660?\nAnswer: 29260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/10)\/((-33)\/220). Solve w = -5*b + b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2\/j*j)\/j**(-11))\/((j*j**10)\/((j*j*j**(-2\/63)\/j)\/j)))**(-1) assuming j is positive.\nAnswer: j**(-124\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 584 divided by 1\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 12 = -28. Calculate the greatest common divisor of 54 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*((sqrt(272) + 3 - sqrt(272)) + -5 + sqrt(272) + sqrt(272) + -3 + sqrt(272) + -1 + -2 + -5))**2.\nAnswer: -39000*sqrt(17) + 327125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 208*t**2 - 3952*t + 422. Determine g(79).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 22 - 8*p**2 - 24)*(0*p**2 + 0*p**2 - p**3).\nAnswer: 8*p**5 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 804335 divided by 12005\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f**4 + 7*f**4 + 0*f**4)*(2*f - 6 - 2*f - 2*f).\nAnswer: -34*f**5 - 102*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 31395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)\/q)\/(q**(-2\/3)\/q))\/((q**37*q)\/(q\/q**13)) assuming q is positive.\nAnswer: q**(-166\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 772*y - 13126. Give n(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(142*b**2 - 23*b**2 + 3*b**2) as o*b + p*b**2 + k and give p.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -500395, -1000799, -1501203, -2001607, -2502011?\n\"Answer: -500404*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-15)\/5*3*(-4 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55861747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/4)\/(3\/(-6)). Is 2\/23 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1844*o + 487*o - 603*o = 833*o - 161994 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2954 = -3*j, 0 = 4*c + 4*j - 1076 - 1864. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 27 = 5. Let m = -27 - -17. Let j be (-120)\/(-18)*(-12)\/m. Solve k*w + 12 = -j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55887 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 511\/63 - (-12)\/54.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = -0. Let i be 6\/(-4*3\/a). Solve -18 = -3*y + 3*k, -2*y = -4*y - k - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/32 and 7\/21752.\nAnswer: 87008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -262.8669 - -0.2669. Let l = 263 + p. Sort -1\/11, -3\/7, l in increasing order.\nAnswer: -3\/7, -1\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -12, -15*g + 37*t = g + 20*t + 19*t - 136 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -445.6, 0.2, -5 in ascending order.\nAnswer: -445.6, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -137. Let g = -39 - u. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c + 4*c - 23637*c**2 + 23640*c**2. Let i(f) = f - f + 2*f**2. What is i(y(z))?\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2\/4 - 27876*t - 4566621\/4 = 0.\nAnswer: -37127, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 189524522 divided by -413809?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 3, 1, -3 in decreasing order.\nAnswer: 3, 1, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738607 is divided by 771.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + q)*(0*q**2 - 2*q**2 + 4*q**2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23795 - 22947 = 53*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207424355?\nAnswer: 5, 41484871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*s - 2*k, 2*s + 0*s = -4*k + 10. Suppose 6*f - s = -3*f. Is 2\/13 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 - 3*k - 6. Let j be d(-3). Let a = -3 - -9. Calculate the lowest common multiple of (10 - 1) + 15\/j and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/120 - 3*m**5\/20 + 3*m**4\/8 + 7*m**3\/3 + m**2. Does 6 divide b(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1734969 = -9*h + 6*h, -1734969 = -3*h - 9*l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*l - 44 = 0, -4*d + 4*l - 5*l = -111. Suppose 8*a - d = 11. Let q(f) = f**2 - 4*f + 3. Let v be q(a). Solve -3*u + v*u - 8 = 3*p, 0 = -p + u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/6 - 4487985*w - 60426028080675\/2.\nAnswer: -(w + 13463955)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i - 242 - 134. Let n = 106 + i. Let t = -14 + n. Calculate the remainder when t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/913 and -36\/7.\nAnswer: 6391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -160938 divided by 6?\nAnswer: -26823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*t - 6 = 14, 0 = -3*c + 2*t + 8. Suppose c*k = 3*k - 39. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*g = -32, 3*s + 15 + 6 = -3*g. Is s bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 30)*1\/(-1). Let g = b - 17. Let m(v) = v**3 + 13*v**2 + 3*v + 46. Let i be m(-13). What is the greatest common divisor of g and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*62822.\nAnswer: -3769320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44340 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 35. Is c > 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 times 9?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275711 is divided by 91107.\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575250829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 take away 4300225210896?\nAnswer: -4300225210911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1287099 by 14.\nAnswer: 1287099\/14","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1852 - 0.2148. Which is the biggest value? (a) 1 (b) m (c) -0.3 (d) -2.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**2 + 2*s - 2. Let f be h(-2). Suppose g - f + 0 = 0. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156307.\nAnswer: 156307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**5\/20 + m**4\/2 - m**3 - 5*m**2\/2 - 2702*m. What is u(-8)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 - 2711166*l**2 - 43378912*l = 0. What is l?\nAnswer: -16, 0, 2711182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 11. Determine r(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2368058682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 - -3. Suppose 13*o - 20 = 8*o. What is the third biggest value in o, w, 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1910?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -101 + 77. Suppose -6298 = -x - p*w, 4*x - 2*w = -w + 25179. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 40.001\nAnswer: 1.60004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbo when three letters picked without replacement from {g: 2, b: 9, f: 1, o: 2, j: 3}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.345 - 0.055. Sort 1\/2, 1, u in descending order.\nAnswer: 1, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11842 + 572 = -4*p - 3*n, 0 = -p - 3*n + 2804. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 - 154. Suppose 1 + 2 = 3*m. Sort h, -5, m.\nAnswer: -5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/921 and 65\/7767.\nAnswer: 2384469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 33, 4, 28\/5, 1, 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 32. Suppose 3*f - 4*a - q = 0, a + 2 = -f - 0. Let y = f - -8. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*m + j - 265, 157 = 3*m + 2*j. Let b = -93 - -93. Suppose b*y + 16 = 2*l - 2*y, 4*y - 10 = -3*l. Calculate the remainder when m is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 43\/4 of a week?\nAnswer: 1806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/60 and -149\/66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101404431 (base 5) to base 9.\nAnswer: -708232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5849 is divided by 2919.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 17, 3617 in ascending order.\nAnswer: 8, 17, 3617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -873379150 rounded to the nearest one million?\nAnswer: -873000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/20 + 15 + (-294)\/20. Solve 77*y + 12*y - 356 = f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 14*f**2 - 21*f - 2. Give w(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -16*b**3 - 6*b**2 - 4*b + 1. Calculate the least common multiple of 11 and w(-1).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 1\/6*b**3 + 12*b + 0 + 0*b**2. Let z(i) = -4*i + 63. Let d be z(14). Calculate h(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r + 68549 = 56*r - 3991. Is 226 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/92770 and 113\/6.\nAnswer: 278310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 367*r**4 - 5*r**3 + r**2 - 14*r + 1153771 with respect to r.\nAnswer: 1468*r**3 - 15*r**2 + 2*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2167 (base 11) in base 7?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-5)*-5)\/2. Let p(g) be the first derivative of -1 - 1\/3*g**m + 1\/4*g**4 + 0*g**2 + 0*g. What is the third derivative of p(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62315 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r + 20 = 0. Suppose -7*j - r = 30. Sort 3, j, 2, 4.\nAnswer: j, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -227 - -122. Let g = -0.072148012 - -105.072159012. Let l = o + g. What is l rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 16234?\nAnswer: 6493.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.74612 meters in millimeters?\nAnswer: 29746.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = z + 113, 42*b - 37*b + z - 258 = 0. Calculate the greatest common factor of b and 12879.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0538004, 3\/7, 0.1, -2\/7 in increasing order.\nAnswer: -2\/7, -0.0538004, 0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/((((v\/(v*v**26)*v)\/v)\/v*v)\/v)*v))\/(v**1\/v*v)*(v**(1\/17))**(-2\/13))**(2\/11) assuming v is positive.\nAnswer: v**(-12380\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 9:24 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**3 + 2*g**2 + 3. Let u be o(-2). Suppose q + r = -0*q + 13, u = 4*q + 3*r. Calculate the highest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-59\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-18)*-3*0. Suppose -c + 2*c + 4*z - 317 = j, 2*c - 634 = -4*z. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.58 and -0.146.\nAnswer: 6.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-37)\/(-10) - (16 + -13). Suppose 31 = 2*y + 45*y - 63. Determine t, given that -1\/2*t**y - 3\/10 + q*t + 1\/10*t**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 44. Let a = y - 0. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 440027207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/10 - 11*r**4\/5 - 49*r**3\/5 + 74*r**2\/5 + 603*r\/10 - 63 = 0. What is r?\nAnswer: -15, -7, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3258134929 to the nearest 100000.\nAnswer: 3258100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16*3\/(-18))\/(-2). Which is the second smallest value? (a) -2\/13 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f = -3*s + 32, -4*f + 3*s + 56 = 0. Solve 8*i - f = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 3*q + 2. Suppose -3*k - 3*u - 6 = 0, 2 = -k + 3*u - 0. Let o be w(k). Suppose 4*l - 18 - 18 = o. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/11 (b) -0.5 (c) -0.4 (d) -345 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213997 is divided by 95.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(208) - sqrt(52))\/(1*sqrt(400)).\nAnswer: -9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 7*x**2 - 9*x + 7. Let t be s(-5). Calculate the greatest common divisor of 8 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18746 or -0.3?\nAnswer: -18746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 1, -1\/24, 2\/81 in descending order.\nAnswer: 1, 1\/7, 2\/81, -1\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-3 - (-66)\/(-15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3811 times -0.296?\nAnswer: 1128.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(3\/4))\/(x*x**8)*x\/(x\/(x*x**6))*x*x*(x*x**(1\/6))\/x*x*(x**(1\/3))**(-31)\/(x**(3\/7)\/((x**(-3)*x)\/x)) assuming x is positive.\nAnswer: x**(-911\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 4*l**5\/15 - 5*l**4\/6 + 8*l**3\/9 - l**2\/3 - 46. Factor b(p).\nAnswer: 2*p*(p - 1)**2*(2*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from {q: 3, k: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/17 - 1378*n**3\/17 - 1376*n**2\/17.\nAnswer: -2*n**2*(n + 1)*(n + 688)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 324398*w**3 - 16096*w**2 + 2*w - 15 wrt w.\nAnswer: 1946388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = s. Suppose -4*j + s*j - 12 = 0. Let z(v) = -v. Let f(o) = -5*o**2 - 4*o + 1. Let w(l) = j*z(l) - f(l). What is w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4547 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 73*v - 10 = 72*v, -6 = 4*k - 2*v. Sort -3, 2, k, -8 in decreasing order.\nAnswer: 2, k, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4757228 - -4?\nAnswer: 4757233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -751.5 - -767. Let y = 795.47 + -810. Let u = y + t. Round u to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 14. Suppose 2*j - 118 = -4*h, -108 = -2*j - 2*h + 16. Let y = -193\/3 + j. Which is the second biggest value? (a) y (b) -2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*(-1)\/10*(-3)\/(162\/24). Which is the nearest to 13? (a) -1\/22 (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 96*n**3 - n**2 - 2*n - 1. Let d be q(-1). Let c = 135 + d. Calculate the remainder when c is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 127 - 169 = 0. Find the third derivative of 96*r**5 - g*r**5 + 13*r**2 + 18*r**5 - 3*r wrt r.\nAnswer: 4620*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53 and 348846?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:04 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from wbuua.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2476852 divided by -10.\nAnswer: 1238426\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**2 + 2*s. Let z = 14 - 12. Let y be l(z). Find the common denominator of 245\/24 - y\/24 and -69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3509 less than -61?\nAnswer: -60.6491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 10:31 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -5*i - 4*b + 195, -4*i + 5*b = -160. Calculate the greatest common factor of 13230 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, y: 1, w: 5, b: 5, x: 1}. What is prob of picking 2 b and 1 y?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/4 + 3*j**3\/2 - 6*j**2. Let g(d) = -d + 2. Give 11*g(k) - 2*s(k).\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 754 and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 285 + -258. Let o be (0*(a\/6)\/9)\/(-3). Factor -2\/5*m**3 - 6\/5*m**2 - 4\/5*m + o.\nAnswer: -2*m*(m + 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*f**3*g**2*r - 15*f**3*g - 4*g**2*r - 9*g**2 - 4*r wrt f.\nAnswer: 114*f**2*g**2*r - 45*f**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*p + 2*p**2 + 14\/9*p**3 - 8\/9.\nAnswer: 2*(p - 1)*(p + 2)*(7*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 163686\/(-40923))\/((-1)\/3). Let t = -118276\/122769 + o. Calculate the common denominator of 143\/18 and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360737 and 78?\nAnswer: 2164422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 28. Let w = 26.8 + -31.8. What is the smallest value in -17, w, v, 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*d = 16, 5*d + 1660 - 1685 = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 399 and 0.3.\nAnswer: 119.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g + 14. Let q(c) = -16*c + 21. Let y = 23 - 28. Let r(f) = y*q(f) + 7*b(f). Let m = -10 + 15. Give r(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 97 + 152 = 0. Let c(v) = -19*v + 101. What is the hundreds digit of c(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341741 times -407\nAnswer: -139088587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2296 + -2296. Solve 118*s - 129*s + 55 = b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 19*v + v)*(69 - 69 - 16*v**2)*(4*v - 3*v - 2*v + (0 + 0 - 2*v)*(0 + 0 - 2) + 0*v + 3*v - v - 2*v + 1 - 1 - v - v + v).\nAnswer: 448*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114780?\nAnswer: 2, 3, 5, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrdrdddddrdrdrrd. Give prob of sequence rd.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.13757um?\nAnswer: 2137.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20037 is divided by 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/7468578 and 61\/7722.\nAnswer: 82154358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 + 27*f**2 - 7*f**2)*(0 - 2 + f + 0) as h*f**3 + s + w*f**2 + b*f and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*s + 20 = -69*s. Suppose 3*t = -s*b + 927, -t - 145 - 600 = -4*b. What are the prime factors of b?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 + 15*t + 21. Give r(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 0*h + 14*h)*(h**2 - 3*h**2 + 0*h**2)*(0*h + 3*h - 5*h).\nAnswer: 40*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -36, -60, -82, -96, -96, -76?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1331) + sqrt(1331) + (-5 + sqrt(1331) + sqrt(1331)*-3)**2 - (sqrt(1331) + 0 + 5)).\nAnswer: 231*sqrt(11) + 5344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 202, 226, 272, 346, 454, 602, 796?\n\"Answer: f**3 + 5*f**2 + 2*f + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -0*r + 5*r + 65*a, -3*r - 3*r = -2*r + 5*a + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 8. Let y be o(5). What is the fourth smallest value in y, 6\/11, 5, -3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4676884 is divided by 2338419.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52247085*t**4 + 24837383*t**2?\nAnswer: -1253930040*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 7854\/(-560) + 0.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -9.75?\nAnswer: -1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 181*q**3\/2 + 86701*q**2 + 41532653*q\/2 + 458882 = 0?\nAnswer: -479, -4\/181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -2, -3\/4, -0.1, -104.\nAnswer: -104, -2, -3\/4, -0.1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6453 a factor of 566408922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34410 + -1?\nAnswer: 34405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*v + 105905 = 0, 0 = 5*k - 82*v + 81*v - 132432. List the prime factors of k.\nAnswer: 5, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -387, -577, -763, -945, -1123, -1297?\nAnswer: -1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0 = 8. Let c = s - -1. Let g = -5 - -8. What is the greatest common divisor of g and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 1:10 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336966119?\nAnswer: 3, 479, 310129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/2)\/f**(4\/3)*f*f**(4\/5)*f\/f**(3\/7) assuming f is positive.\nAnswer: f**(113\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, -5, -2\/7, 1, 282, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 3. Suppose 2*w = 5*u + 6, -3*w + 4*u - u = 0. Let g be w\/(-4) - (-30)\/20. Determine n(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/2380 and 36\/186949.\nAnswer: 3738980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -1\/20*n**5 + 0 - 2*n**3 - 1\/2*n**4 + 0*n + 5*n**2. Factor p(g).\nAnswer: -3*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 8. Let p(x) = -x**2 - x + 2. Let g(w) = 2*w**2 + 3*w - 4. Suppose -4 = -6*l + 4*l. Give l*g(b) + t*p(b).\nAnswer: -b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0 + 12. Differentiate -3*b + 3*b + 54*b**k - 49*b**4 - 3 wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*t**3 + 39 - 23 - 16.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/((n*n**1)\/n*n))\/(n\/(n*n**0)*n)**41*((n*n**6)\/n*n)\/n*n\/((n*n*n**(3\/7)*n)\/n*n*n*n*n)*(n**(-2\/7))**45 assuming n is positive.\nAnswer: n**(-359\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -636386 (base 9) in base 11?\nAnswer: -239558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2. Let w(q) = 8 + 28*q - 16*q - 23*q + 4 - 1. Determine y(w(x)).\nAnswer: -363*x**2 + 726*x - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y\/y**(1\/10))*y**(3\/5)\/y*y*y*(y**(-2\/11)*y*y)\/(y*y**(1\/5))*(y*y**(1\/2)*y*y)\/(y**(-1\/10)*y*y*y)*(y*y**(-2\/5)\/y)**(-2\/7) assuming y is positive.\nAnswer: y**(621\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 42. What is the highest common factor of v and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*l + 582 = 32*l - 14*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87024364 + -87024384.0000013. Let j = q + 20. What is j rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**5 - 3*w**5 + 2*w**5 + (w**2 - 2*w**2 - w**2)*(0*w**2 + 0*w**2 + w**3) + w**5 - 3*w**5 + 3*w**5.\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 1 = -0*q - q, -q - 269*b = -247*b + 114 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j. Let u be g(1). Suppose -v + u*v = 0. Suppose t - 4*b = 3*t - 118, -2*t - b + 133 = v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 5*s = 12*j - 32, -3*j = s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00241831 to six dps.\nAnswer: -0.002418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 + 162. Let n = -240 + o. What is the closest to 0 in 0.06, n, 6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(3*q**2 - 4*q**2 + 2*q**2 + 5*q**2 - 5*q**2 - 2*q**2 + 2*q**2 - 2 + 2 + (2*q + 2 - 2)*(4*q - 3*q - 3*q) + q - q - 3*q**2).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 21\/9)\/(14\/(-14))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1) + -97)\/(-21 + -1 + 4512\/192)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2. Let x(m) = -2038*m. Determine x(k(r)).\nAnswer: -6114*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 25. What is z(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111011010111011001 (base 2) to base 8.\nAnswer: 1732731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 29877456.\nAnswer: -1\/29877456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119681.\nAnswer: 19, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -316. Suppose -520 = -5*s - w. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -335.8 - 3.\nAnswer: -338.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 8*g - 27. What is b(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*a = 20, -566*w + 569*w + a + 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 6*i**2 + 9*i - 28. Determine u(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -884 divided by -7.\nAnswer: 884\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 303 + -300.97. Let d = -0.01 - t. Let q = -0.04 - d. Which is the second biggest value? (a) 1 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*u - 121*u + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14690208 > 14690206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (13 - (7 - 4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeey when four letters picked without replacement from yeyeyy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.023 + -0.141. Let s = l - -134.618. What is s rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100663 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295535904 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12101 * 2\nAnswer: -24202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 98. Let s = o + 22. Let h = -35 + 34.9. Is h smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 + 3?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*r**2 - 2165074 + 2165074.\nAnswer: 78*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*c - 20 = -64*c. Solve -5*z = -c*u - 13, -2*u - 3 = 3*z - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 578 and 39071933?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.739 millilitres to litres.\nAnswer: 0.055739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + -1*sqrt(28)*-1)\/(sqrt(36)\/sqrt(900)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9239010 by 165.\nAnswer: 55994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -480901 and -0.1.\nAnswer: 48090.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203097 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (540\/27)\/(-5)*2\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n - 2*h + 240 = 0, 2*n + 2*h = 122. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**5\/20 + 17*t**4\/24 + 11*t**3\/6 - 5*t**2\/2 + 5. Let r(i) be the second derivative of m(i). Is r(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 48109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*k = 7, 3*v - k - 13 = -9. Solve 0 = -b - v + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.5. Let k = 1084 + -5419\/5. Which is the closest to 0? (a) m (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 12, -5*q - 5 = 5*c - 30 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l - 2*l + 4*l)*(216 - 73 - 4*l - 83) as y*l + i + a*l**2 and give y.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 4*i**2 - 26*i + 41. Give y(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 22*o**2 + 8*o + 22. List the prime factors of n(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -6. Which is the nearest to f? (a) 2\/13 (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 1376\/(-48)) + (-1)\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7863.66526 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297709498 and 6186.\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14.2 times -200.961\nAnswer: -2853.6462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/236 and 61\/1272?\nAnswer: 75048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*w**3 - 35*w**2 - 220 - 65*w**3 + 59*w**3 - 200*w.\nAnswer: 5*(w - 11)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 + (-4 - -7) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -60134001 (base 7) to base 14\nAnswer: -934001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of (-3)\/(3\/(-3)) - -235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 1\/4*k**5 + 1\/42*k**7 + 0*k**4 + 0*k**3 + 0 + 0*k - 6*k**2 - 1\/6*k**6. Factor d(l).\nAnswer: 5*l**2*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 768\/6400*(40\/12)\/5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 20 - 13 - 3*l - 3*l. Let r(z) = 7*z - 8. Let i(k) = -5*r(k) - 6*v(k). Give i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -23*y - 649. Let s be h(-29). Solve s*o - 72 = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 25 = 5*r. Suppose -w + 3*m + 4 + 1 = 0, w - 13 = -r*m. Suppose -w*v - 118 = -10*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10*-1)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 957*y + 2784. What is t(-3)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 74*q**3 - 26*q**3 + 22*q**3 - 3*q + 4*q to z*q**3 + o + v*q**2 + k*q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28955*c + 4*c**2 + 3*c**2 + 28958*c - 57913*c.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-8*(-5)\/(-30)). Suppose -5*k + r*j + 145 = 0, j - 165 = -4*k - k. Let w = k - 25. Solve -5*x + 2*o + w = 0, 0*x = 5*x - 5*o - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 9822 = 87. Is y a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -64, -58, 12, 182, 488?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.4507627 from -13171.\nAnswer: -13175.4507627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3)*b)\/(b\/(b*b**(-3\/5))))**14\/(b**3\/b*b**(1\/7)\/b)**18 assuming b is positive.\nAnswer: b**(-1994\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 17 = -5*b, 16 = -4*b - a - 6. Sort b, -2, 5 in ascending order.\nAnswer: b, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-1*2 + sqrt(78)*-1*5)\/(-4*(sqrt(216) - (sqrt(216) - (sqrt(216) + 2*sqrt(216) + sqrt(216)))) - sqrt(216)).\nAnswer: 7*sqrt(13)\/102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 - 122915\/60. Let f = k + 2046. Let c = 2565\/2 + -1249. What is the common denominator of f and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 60*l - 66 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*s - 33, 0 = -4*s - 18*r - 5*r - 3284 + 3396 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 43 - 5*w - 2*w)*(-2 + 4 - 3).\nAnswer: 7*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2275 - 1.7915. Let c = 2.15 + -0.15. Let t = o + c. Round t to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -2. Let x be 0\/t - 113*-1. Suppose 4*p + n - 23 - x = 0, 0 = -2*p - 4*n + 68. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 17. Suppose l + b - 13 = 5, -l - j*b = -30. Is 15 a factor of (-18)\/l*40\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/((-220)\/33)*16\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 2:28 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23441.0072215 - -23441. What is k rounded to 4 decimal places?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/572?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48*7\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 16 - 3*v - 6 - 5.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 451413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 3. Let a(n) = n**2 - 2*n + 2. Calculate a(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*z = 133*z - 168*z + 13303 + 19757 for z.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -220*g**3*q + 1132699*g**3 - 12*g*q - 354148*g wrt g?\nAnswer: -1320*g*q + 6796194*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 29. Let u(d) = -8*d - 64. Let i be u(-7). Let y(p) = -p - 8. Let o be y(i). What is x(o)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33.215 - -28.215. What is the biggest value in -2\/19, -1\/3, c, -7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155 * 0.4.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1390 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 27*o**3 - 28*o**2 + 2*o - 2. Let y(b) = -b**3 + b - 1. Let s(g) = h(g) - 2*y(g). What is the third derivative of s(c) wrt c?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**3 - r - 1. Let u(d) = -d + 5. Let w be u(5). Suppose -f = -w*f - 4. Suppose 0 = 3*z - 7*z - f. Give c(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39108701*a**2*d + 17556*a**2 + 14*a - 18 with respect to d.\nAnswer: 39108701*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**1*q\/(q\/(q*q\/q**1)*q)*((q\/q**(-1)*q)\/q)**17 assuming q is positive.\nAnswer: q**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/23))**(-42)\/(u\/(u*u**(8\/13))*(u**(-32)*u)\/u))**(-8\/3) assuming u is positive.\nAnswer: u**(26816\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*m + 74916, -3*m + m + 2 = 0. What is p rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13342 (base 5) to base 2.\nAnswer: -10001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130534 + 56602?\nAnswer: 220436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + (-4086)\/(-450) - (-4)\/(-50)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 4*u**3\/3 - 2. List the prime factors of b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 3*d + 1. Suppose 3*o + 3*u - 3 = 4*o, 5*o + 15 = 2*u. What is j(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -25951340.\nAnswer: -129756700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*c**2 + 0 + 5*c**2 + c**2 - 4*c**2 + (2*c - 4*c + 4*c)*(-c - c + 0*c) + (2*c - 5*c + 7*c + (-1 + 1 - 1)*(-2*c + c + 2*c))*(c + c - 3*c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 32 = 10. Let c = s + -9. Suppose 0*z = -c*z + 35. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1777 rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 24. Let z = -38 + f. Let m = 102 + z. Calculate the greatest common divisor of 155 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25325460?\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -21. Suppose 8*y - m*y - 24 = 0. Suppose 5*l - 128 = -18. Calculate the smallest common multiple of l and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1338.5 + -1339. Sort 0, z, -0.68 in decreasing order.\nAnswer: 0, z, -0.68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76970, 153958, 230966, 307994, 385042?\nAnswer: 462110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1767 - -56547\/32. Calculate the common denominator of -91\/352 and u.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10423289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 839771, 839568, 839365, 839162, 838959, 838756?\nAnswer: 838553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-12) + (-21)\/(-60). Let n(l) be the third derivative of c*l**5 + 0*l + 0*l**3 + 0 + 1\/24*l**4 + l**2. What is the second derivative of n(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*m - 3*f = -7, -241*m + 16 = -234*m + 2*f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 272850 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 6136?\nAnswer: 42952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -91473 (base 10) to base 3\nAnswer: -11122110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 656\/20 + (-4)\/20*3. Let j = y + -32. Is -2 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62 - 2864*u + 5736*u - 2865*u + 12 as l*u + b and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -7894\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) 1 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -11*c**4\/21 + 2*c**3\/21 + 27*c - 8. Factor j(h).\nAnswer: -4*h*(11*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 273.04.\nAnswer: 273.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2492*a - 44. What are the prime factors of r(1)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 42081.86 years?\nAnswer: 42.08186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + 3524?\nAnswer: 3537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z**3 - 4*z**2 - z - 3. Suppose 3*f = -0*o + 2*o + 16, -3*f + 4*o = -14. Let b(i) = 7*i**3 - 3*i**2 - i - 2. Let h(d) = f*j(d) - 7*b(d). Give h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**4\/18 - 938*f**3\/9 - 219961*f**2\/3 + 3*f - 248. Factor w(x).\nAnswer: -2*(x + 469)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 225*j**2 - 8*j + 41. Let c(w) = -w**3 + 23*w**2 + 24*w + 6. Let t be c(24). Is v(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1386311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:42 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14486 (b) 2 (c) 1\/2 (d) -4 (e) -6 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1000 + -4?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200201 (base 3) to base 16.\nAnswer: -1f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -19, -9, 0, 5 in increasing order.\nAnswer: -19, -9, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 11:57 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*d + 343 + 287 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -42. Let j(t) = 3*t**2 - 16*t + 11. What is the tens digit of j(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0. Let m = 0.3 - 0.8. Sort 1, m, z in increasing order.\nAnswer: m, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -171 + 7\/14*4. Let m = x + 423. What are the prime factors of m?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3589 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 10*m = -20. Suppose -2*v + 75 = -m*h, 3*v + 2*h - 40 = v. Calculate the remainder when 46 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:17 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/323 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:50 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.7, -0.004, -0.1.\nAnswer: -2, -0.7, -0.1, -0.004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2295, 2291, 2285, 2277, 2267, 2255, 2241?\n\"Answer: -p**2 - p + 2297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 392 + -455. Let l be (1 + 2\/1)*(-84)\/t. Solve l*o = -4*o - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:37 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-85) - (-22)\/10 - (-16 + 11 + -31).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37282?\nAnswer: 2, 7, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*x - 3*p, 4*x = -0*x - 3*p - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 0*i - 1\/3*i**3 + 0*i**2 - 6. Let k(y) = -4*y. Give m(k(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0685666637 to three decimal places.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**15\/u*u**5)\/((u**(-32)\/u)\/(u*u*u*u**(-12))))**42 assuming u is positive.\nAnswer: u**1806","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**7\/30 - t**3\/2 - t**2. What is the first derivative of r(y) wrt y?\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32821133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168597 is divided by 161732?\nAnswer: 6865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5091 + -5093. Let f = -0.5 - 0. Let q = 1 - -2. What is the closest to 0 in p, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 4*u**2 - 8*u - 5. Give p(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20311197*g**3*t**2 - 2*g**3*t + 5*g**2*t - 12252*g*t**2 + 2*g*t + 3*t**2 wrt g?\nAnswer: -121867182*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18819 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -16 in decreasing order.\nAnswer: -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 590, 1026, 1294, 1196, 534, -890?\nAnswer: -3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11174744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2716)\/(-739431)*(-81)\/(-18).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 12a?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6265 or -1\/4?\nAnswer: 6265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53227 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10 + 3 - a + a**2 - 5 - 7*a. Let r(k) = k**3 - 14*k**2 + 12*k + 17. Let w be r(13). Suppose -2*j - w*b = 4 + 4, -3*b = -3*j + 33. What is y(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141778 and 316407?\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(1\/43)*i)*i*i\/i**(-48)*i)**(-11) assuming i is positive.\nAnswer: i**(-24112\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 5*j**3\/6 + 11244*j. Let f(z) = -z. Let w be f(-2). Let g(q) = q - 2 + w. Calculate x(g(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5517 or 5519?\nAnswer: 5519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = 12. Let g(b) = b**3 - 2. Let u(h) = -5*h**3 - h**2 + h + 11. Give i*g(m) + 2*u(m).\nAnswer: m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29971032 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - a = -15, -p - 1 = 2*a - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -74 - -198?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -268464078*p**3 - 327*p**2 + 83835*p + 2.\nAnswer: -1610784468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = -9*h + 10*h - 12*h for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 7 = 4*o, 5*o + 2*s - 4 = -0. What is the nearest to -1 in -3, -1\/6, o?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 + 13*y + 6. Suppose -8*l = -0*l + 72. Is 26 a factor of j(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/12 and (-6)\/21 + 452\/(-56)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 1, c: 2, b: 1, i: 1, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 719 (b) -22 (c) 0.4 (d) 1 (e) -2\/9 (f) 6 (g) 5\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 14 - 9 + 8. Suppose 5 = -z - 5*w, -24 = 2*z - 18*w + 14*w. Let v be a(z). Which is greater: v or 17\/3?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/91*(0 + -3 + 10) + 21?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 122*x**2. Let a(n) = 19*n**2 - 2 - 10735809*n + 2 + 10735809*n. Give k(a(u)).\nAnswer: 44042*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*p + 7 = 0, 8 = 3*p - 7. Is -2\/25 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*g + l, -5*g - l + 51 = -0*l. Let b = g + -2. Calculate the least common multiple of b and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/293 (b) 0 (c) 14.766\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*b = b - 316, 4*q + 2*b - 316 = 0. Find the common denominator of 13\/12 and 1\/(6\/q)*14\/(-56).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 33984.4, 0.1.\nAnswer: -0.1, 0.1, 33984.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 3*c - 1. Suppose 11 + 134 = -5*d. Let k = 33 + d. Let p be b(k). Sort p, -3, 1.\nAnswer: -3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 + 170*p**3 + 90*p**2 + 362*p + 31?\nAnswer: -12*p**2 + 1020*p + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.27 - 35.27. What is the third smallest value in 5, q, -123?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - 52*b - 299. Let s be d(-5). Let p(f) = 6*f**3 + f**2 - 2*f + 4. Let w be p(4). What is the highest common factor of s and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28130 - 35714 = -921*c + 219*c - 16108 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from psppjssssspjsjnnpjs. Give prob of sequence jpjn.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-28) + 14\/8. Let n(s) = -9*s**3 + 2*s**2 - 2*s + 2. Let t be n(x). List the prime factors of 3\/(-12) + t\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/131771 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 12763\/7 - 1823. Which is the second smallest value? (a) 5 (b) -476\/3 (c) k (d) 4 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1050775, -1050779, -1050787, -1050799, -1050815, -1050835, -1050859?\nAnswer: -1050887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 0*c + 11*c**2 + 2287 + 0*c**3 - c - 2271. Calculate l(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 4*j - 40)*(-11 - 2 + 3).\nAnswer: 40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4589, 18435, 41537, 73901, 115533, 166439, 226625?\nAnswer: 296097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, i: 7}. What is prob of picking 2 t and 1 i?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-1 - -3) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3180 and 121\/10176.\nAnswer: 50880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and 3.57?\nAnswer: -6.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -1\/15 (b) 1\/6 (c) -19 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:05 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/24, 0.2 in decreasing order.\nAnswer: 0.2, -1\/24, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvvhhrvvhhv. What is prob of picking 1 r and 3 h?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/56*-10 + 71\/(-284)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2087589 is divided by 597?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03078392 rounded to 3 dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2465445 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 2*z**2 - z**4 + (-2*z**3 - 3*z**4 + 2*z**3)*(4 + 1 - 3) - 2*z**4 - 9*z**4 + 0*z**4 + (-6*z - 6*z + 0*z)*(-2*z**3 + 0*z**3 + 0*z**3).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 3*w + 6 = 0. Let l = 71 - w. Suppose -2*n = -6, 4*c - l = -2*n + 6. What is the greatest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -79*x**4\/6 + 893*x. Let z(b) = b**2. What is z(g(l))?\nAnswer: 24964*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7794\/50661)\/((-20)\/676).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71432 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 658892147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11008*b*k**2*l + 2*b*k*l + b + 3*k**2 + 28*k*l + 15*k - 2*l wrt b?\nAnswer: -11008*k**2*l + 2*k*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 + (18 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 92 = -2074. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.85575547 rounded to three dps?\nAnswer: 113.856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*-203.28\nAnswer: 203.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l - 106. What is the least common multiple of i(14) and 362?\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 7 + (-1 - -1). Suppose 0*u + 4*u = n. Let g(t) = 4*t**2 - 4*t + 2. Let m be g(2). Calculate the highest common factor of u and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) + sqrt(220)*-2)\/sqrt(11) + sqrt(20)*2*6)\/(((sqrt(1280) - sqrt(1280)*-2) + sqrt(1280) - sqrt(1280))\/sqrt(5)).\nAnswer: 11*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -455 (b) 102\/13 (c) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sses when four letters picked without replacement from {e: 8, s: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 210 or 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 52. Suppose 9 = -t*f + 18. Which is greater: -1\/38 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 40 = -3*t, 0*t = -2*y - 3*t - 26. Let d = -3 - y. Let z(a) = -9*a**3 - a. Calculate the lowest common multiple of z(-1) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2\/7 (c) -1 (d) -0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -617 and 1048.\nAnswer: -646616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (5 + 1 + -3). Suppose 236 = i*a - 0*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3 = -13, -n - 3*w + 11 = 0. Suppose n*g + 1 + 1 = 4*u, -5*g + 10 = 0. Solve -3*x - u = 3*f, -5*f - x - 13 = -0*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 2\/4505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9960806 + 199*d + 9960813 - 179*d.\nAnswer: 20*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/68, -2\/15, 0, -1\/3, -0.0123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 0.1, -36, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 15 + (0 + -11 - -1) + 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 272 - 78. Let v = m - 192. Solve -2*q + 4 = v*y, 4*y - 3*y + 18 = 4*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/331810 and -95\/13537848?\nAnswer: 67689240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 250793\/193740 - 36\/3229. Find the common denominator of h and -95\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3)*(-180)\/24. Suppose -x*g - 133606 = -13606. What is g rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**5\/20 + 5*u**4\/6 + 19*u**3\/6 - 6*u**2 + 44*u. What is the remainder when 105 is divided by h(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/64 and 11\/56.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbbfdi. What is prob of picking 1 f, 1 b, 1 i, and 1 d?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11*o**2 + 57*o + 210. Calculate c(-4).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 41*h**2 + 82*h + 177. Let p be u(-39). Solve z + 7 = 5*a - 14, 4*z = -a + p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4 + 449*b**3 - 11711*b**2?\nAnswer: 24*b + 2694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 40. Let q be k(-18). Suppose -3*f = 3*z + z - 14, 4*f - 18 = -5*z. Let n = f - q. Calculate the smallest common multiple of n and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93239.7g in micrograms?\nAnswer: 93239700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-2\/3)*q**(-4\/11)*q*(q**6)**26 assuming q is positive.\nAnswer: q**(5180\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 0. Let y = k + -3. Suppose 2*g + 3*x = 35, -5*g - 27 = 2*x - 131. What is the greatest common divisor of y and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*3\/2)\/((-35)\/3780*27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807766835 take away -6280?\nAnswer: 1807773115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 6*k**2 - 5*k**2 - 4*k. Let a(z) = -z**2 - 10*z - 20. Let i be a(-6). Let h be b(i). Solve -h*g = g - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d - 5*d**2 - 4 - 6 - 14 + 961*d**3 - 6 + 58. Let j be h(-9). Round j to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -1 - -43 - (2 + -6) - -12.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose -178 - 203 = -3*i + x*h, 2*i = -4*h + 248. Let s be ((-12)\/(-14))\/(36\/i). Solve -s*r = 18 - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28427 rounded to three decimal places?\nAnswer: 0.284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + j - 2)*(3*j - 3*j - j) + 1843*j - 1843*j - 374*j**2.\nAnswer: -375*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3793 is divided by 1258.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -600349 divided by 15?\nAnswer: -600349\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30024566 a multiple of 1227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - t - 1. Let r(d) = 3*d**2 + 4*d + 1. Let w(p) = p**2 + 8*p + 9. Let l be w(-5). Let o be 3 - l*(-2)\/3. What is o*r(b) - 2*f(b)?\nAnswer: -b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -5. Suppose -3*p + 31*k - 25*k = -6, 4*k = -8 - 0. Which is the nearest to p? (a) 6 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2007480239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*m + 12 = 0, -4*a + 2 = -153*m + 156*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**4 + 2116189*j**3 - 29*j**2 + 754167368*j?\nAnswer: 36*j**2 + 12697134*j - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434955613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4054 + 4058. Let x = -66 + 85. Let c be 33\/7 + (-6)\/(-21). Sort c, l, x in descending order.\nAnswer: x, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30.851926 and 5.\nAnswer: -154.25963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1125, 1150, 1197, 1272, 1381?\nAnswer: 1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649030414?\nAnswer: 2, 349, 929843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-3 - -9 - 5)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 185948 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 17, 0, 4 in increasing order.\nAnswer: 0, 2, 4, 11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -119. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**15)**(-47) assuming o is positive.\nAnswer: o**611","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 424 and 1128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6325 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(-7\/11)*q**6\/(((q\/((q*(q**(-2\/11)*q)\/q*q)\/q))\/q)\/q)*((q**(-3\/4))**(-3\/16))**49 assuming q is positive.\nAnswer: q**(9459\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3246 - -3244.9. Sort i, -5\/4, -0.2 in decreasing order.\nAnswer: -0.2, i, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4838*z = -1640*z - 1416*z - 1532*z + 13750 for z.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*l**2 - 2885*l - 311192 wrt l.\nAnswer: -80*l - 2885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 7398*q**3 + 88772*q**2 - 207192*q + 112 = 0. Calculate q.\nAnswer: -14, 2\/3699, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 1 - 43. Solve -2*g + w = z, 4*g - g + 3 = 4*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*h - 0*h + 2, 0 = -5*h + 5*w + 5. Let z = -0.36 + -1.43. Let o = 0.21 - z. What is the closest to h in o, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731b79 (base 16) to base 12.\nAnswer: 2639675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 25, 0 = -4*k + k - 5*o - 127. Let f = -26 - k. Calculate the greatest common factor of 72 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353675*t - 176838*t - 3*t**2 - 176837*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36, 137, 306, 543?\n\"Answer: 34*q**2 - q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b161 - 114b9?\nAnswer: -4065a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*p = -54, k + 4*p - 2 = -p. Suppose k*b - 17*b + 10 = 0. Suppose 4*w = -3*n + 318, -b*w - 18 = n - 124. What are the prime factors of n?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7362860654?\nAnswer: 2, 31, 118755817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5581247 and -41351759.\nAnswer: -46933006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 25 - 156)*(l - 2*l + 0*l)*(-4 - 2*l + 4) to c*l + g + d*l**2 and give d.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 5988*s**2 - 133188*s - 735196.\nAnswer: 4*(s - 1519)*(s + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r**(-4\/3)*r))*r**(2\/9))\/(r**(-3)*r**4) assuming r is positive.\nAnswer: r**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -72876, -72740, -72604, -72468, -72332, -72196?\n\"Answer: 136*f - 73012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/231 and 61\/12726.\nAnswer: 139986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-35)*(-7)\/(4 + -18). Let j = 9 + -6. Put 8, j, 2, t in descending order.\nAnswer: 8, j, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - b**2 + 4*b - 2. Let w(p) = -3*p**3 + 3*p**2 - 11*p + 5. Let u(j) = 11*k(j) + 4*w(j). Let f(a) = -1. Give -3*f(n) + u(n).\nAnswer: -n**3 + n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011101111 (base 2) in base 14?\nAnswer: -90b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.9559 decades in years?\nAnswer: 2979.559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -252786 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-70)\/(-4)*372\/(-15). Let b = u + 259. What is b rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11\/(-22))\/((-1)\/154)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15223027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from {r: 1, u: 1, w: 2, t: 4, y: 7, e: 5}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*d**3 + 271*d**3 + 266*d**3 - 789*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -46769289\nAnswer: 4676928.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2137560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 14*n - 3*g + 12996 = 0, -12990 = -3*n - 2*g. What is the least common multiple of 3 and n?\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moa when three letters picked without replacement from {m: 1, o: 2, a: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 16*u**2 - 14*u - 55. Let p be s(17). Sort 0, -1, -3, p in ascending order.\nAnswer: p, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 598, 601, 604, 607?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 2 + 10 = 0. Put x, 0, -4 in decreasing order.\nAnswer: 0, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.7 - 70820381.8579.\nAnswer: -70820376.1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2. Is 149 + i\/(-3)*0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6+-167378915414\nAnswer: -167378915415.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3404\/1423 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-51)\/(-15) - (-10)\/(-25). Let i be ((-30)\/35)\/(6\/(-28)). Solve 0*o + 2*o = i, -p = b*o - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32365575 is divided by 1405?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 48. Let y = n + -7. Calculate the remainder when y is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkkkkkktkkk. What is prob of sequence kkkk?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31878462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 9*j**2 + 3*j - 7. Let n be t(-5). Let o be -1*(2 + (2 - 1)). Let h = o + 6. Solve -g + h*c = -4, 2*g + c - 4 = n*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 12*o - 10. Let f be c(10). Let j = -23 - f. Suppose 111 = 3*v + 4*g - j*g, -5*v + 215 = 5*g. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/214 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2 + 7. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106334624633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23979763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/9)\/(305\/549).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2, 11, 43\/85, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 3:27 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4204545 is divided by 113?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -21*w**5\/5 + 183*w**4\/4 + 25*w**3 - 183*w**2\/2 - 54*w + 185. Suppose f(g) = 0. What is g?\nAnswer: -1, -2\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1276 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250634024 and 313292530.\nAnswer: 1253170120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o - 111 = 45 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 13) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g - 32 - 12 = 0. Sort -4, -705, g in ascending order.\nAnswer: -705, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - -104?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-30)*(-36)\/(((-68040)\/(-54))\/(-45))\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -1.96. Let z = 28.485 + -8.485. What is the biggest value in v, z, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*v + 1164, -4*v - 2 = 6. What is the tens digit of ((-12)\/(-10))\/((-18)\/l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5 - 3 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, -2, 16.\nAnswer: -5, -2, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1174653753933 and -4.\nAnswer: -1174653753937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2482749601 to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 230*d**2 + 12*d**2 + 1041*d**2 - 972 + 972 in the form t*d + i + y*d**2 and give y.\nAnswer: 1283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22496.667202 and -136.\nAnswer: -22632.667202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from goglrggllr. Give prob of picking 1 l, 1 o, 1 g, and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148 + 114. Let v = 33 + q. Suppose -2*m + 7 = 15. Which is the third smallest value? (a) v (b) -3 (c) m (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.966335mg?\nAnswer: 4966.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -4) + (12 - (11 + -7 + 6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147129?\nAnswer: 47, 24407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 141, 298, 565, 972, 1549, 2326, 3333?\nAnswer: 4600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77.11 + 31.5. Let r = -47 - h. Round r to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-20))\/(((-1)\/95)\/(-1))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 10:21 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 193378989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.27 - 0.07. Let u = -0.1 + q. Let v = 0.4 - 0.3. Which is the closest to u? (a) -0.5 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**2 + 4*h - 2*h**2 - 6*h to the form v*h + s*h**2 + a and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 157*l**3 + 9*l**2 - 4*l + 6. Let y(h) = -78*h**3 - 4*h**2 + 2*h - 3. Let o(m) = -6*c(m) - 13*y(m). What is the tens digit of o(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28695 divided by 3?\nAnswer: 9565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-1557)\/180) + 1\/(-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23441*c**2 + 47*c - 21*c - 26*c.\nAnswer: -23441*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34181.\nAnswer: 7, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooob when four letters picked without replacement from oxbbboxooxbobxb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**4\/3 + 2*l**3\/3 - 4*l**2 - 32*l. Let j(x) = -5*x**2 - 5*x + 9. Give -6*j(f) - 7*k(f).\nAnswer: 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1529528 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -16*c + 164. Let w be u(10). Suppose -13 = -w*b - 0*b - s, -b + 2*s = -10. Solve -b*v = 4*v + 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 f when three letters picked without replacement from {f: 3, y: 17}?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20972 and 1960?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 + g**2 - 2*g - 2. Let i(m) = m**2 - 10*m - 13. Let f = 8 + -62. Let u = -43 - f. Let o be i(u). Determine r(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1897 and 28861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1198 - -3355. Is r a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus 70638?\nAnswer: 70629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -2933253248.8.\nAnswer: -2933253249.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95179.71 microseconds to nanoseconds.\nAnswer: 95179710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -16*v**2\/7 - 1511604*v\/7 - 377900\/7 = 0.\nAnswer: -94475, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (-1*sqrt(170) - sqrt(170)))*-4 + sqrt(170) - sqrt(170))\/sqrt(10) - (-2 + 1*sqrt(2057) - sqrt(2057)).\nAnswer: -12*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13607?\nAnswer: 11, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + (-2*((sqrt(50) - sqrt(350)\/sqrt(7)) + sqrt(50)) + sqrt(50) - sqrt(50)))*-1)\/((sqrt(810) - -5*sqrt(810)*1) + sqrt(810)).\nAnswer: sqrt(5)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:08 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u + 5. Calculate r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h + 867 = -9379. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-74990)\/(-4))\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4819 - -4830. Let m(z) = -7*z + 8. Let b(q) = 4*q - 4. What is h*b(w) + 6*m(w)?\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027 less than 2028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 64 (b) -5 (c) 0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a*a)\/a*(a*a*a**(-3)*a)\/a*(a\/(((a*a\/(a**0*a))\/a)\/a))\/(a*a\/a**(-5\/4)) assuming a is positive.\nAnswer: a**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 6*x. Let d be t(-6). Let c be (-73)\/3*(-290)\/(-30). Let j = c + 235. What is the closest to j in -0.2, -0.3, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33086 - 33057. What is the remainder when 226 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 5. Let a be v(7). Suppose -a*c + 4*x + 46 = 8, -2*c = -x - 26. Solve -y - c = 3*l - l, 0 = -3*y + 2*l + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 32*o - 381. What is b(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*h - 63, j - h - 30 = 33. Suppose 3*b = 2*c - j, -98 = -3*c - 3*b + 19. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3767954 to the nearest 10000.\nAnswer: -3770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - p. Let o(w) = -4*w**2 - 5*w + 7. Let x(g) = -5*h(g) - o(g). Let j be x(9). Is (-1)\/(j\/(-1563)*(-27)\/(-18)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1618*l - 12 = -1622*l. Solve -p = 2*t, -2*p + l*t = -1 - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 41 (c) 35 (d) -0.01 (e) -0.2 (f) 4\/5 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*a**2 - 24*a**2 + 40*a**2 + 8*a**3 - 20*a**2 to w*a**3 + v*a**2 + q*a + p and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -4 (c) -6064.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0*g**3 + 0 + 1\/12*g**4 + 0*g**2 + 6*g. Let n be z(0). Solve d + n = -5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*b**2 - 3 - 3 - 1 to k + r*b + i*b**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + 8. Let n(g) = -g**2 + 12*g + 7. Let x be n(10). Differentiate 23 - b*j**4 + 25 + x - 57 with respect to j.\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*p - 3 = 3, 3*p = -2*t - 6. Suppose 4*f - 15*f = -33. Suppose -4*o + 2*l - 6 = -8*o, -f*o + 5*l - 2 = t. Which is bigger: 2\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 7*y = 75. Let f = 19 - y. Solve -f = -g - 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h + 84. Let a(i) = -2*i + 25. Give -8*a(r) + 3*m(r).\nAnswer: -5*r + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 14 = t + 2*n, 4 = 2*n. What is the lowest common multiple of 10 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 921 and 1833.\nAnswer: 562731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/89 + 362\/267. Let g = 0 - -1. Is g <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {x: 2, u: 1, a: 4, h: 4, j: 3, v: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**2 + 6*b + 38. Let t be g(0). Calculate the remainder when (-627)\/t*(-48)\/2 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/23356098 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2 - 3\/4*t**2 - 3\/4*t = 0 for t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 21*x = -173. Let w = -107 - x. Let d be (-2)\/5 + w\/15. Solve -7*v = -3*v + d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*p**2*s*y - 2*p**2*s - p**2*y - 2*p**2 + 516*p*s - p*y + 17*p + 2*s*y - s wrt p?\nAnswer: 234*s*y - 4*s - 2*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-4)*-4 + 0. Suppose -5*k - 4*u = -17 - i, 5*k = 3*u + 36. Suppose k*t = 3*t + 165. 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 next term in 16, -16, -64, -122, -184, -244, -296?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {n: 5, d: 2, h: 1, r: 2, t: 4, y: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 3. Let g be z(2). What is the third derivative of 4*a**2 - a**2 - 2*a**2 - 4*a**3 + g*a**3 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*q = 173*q + 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 165 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210000110 + 12120001?\nAnswer: -120110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3149, 6406, 9663, 12920, 16177?\nAnswer: 19434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/6 - 537977*y**2\/6 + 186229829*y\/6 - 5370489689\/2 = 0 for y.\nAnswer: -538323, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 + 3*i**2 - 1. Let s(u) = u**2 - 1. Give b(w) - 2*s(w).\nAnswer: -3*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -70, -259, -630, -1243, -2158, -3435, -5134?\n\"Answer: -10*d**3 - d**2 + 6*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8 = -3*x, -2*x - m = -x + 4. Let q(b) = -2 + x + 3 - 6*b + 0. Determine q(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.200881 years to months.\nAnswer: 2.410572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 + 92*y**2\/5 + 362*y\/5 - 1968\/5.\nAnswer: 2*(y - 3)*(y + 8)*(y + 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 276\/14 - (-2)\/7. Suppose 3377 = 200*s + 389*s + 1021. Solve s*m = -0*m - p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233891 by 3.\nAnswer: 233891\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzwgzsghzigz. Give prob of sequence hgzw.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:59 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 2*u**2 + 0*u**2)*((-u + 5 - 5)*(2 + 2 - 3) + 0*u + 0*u - u + (-2 + 1 + 3)*(1 - 1 + u) - 2*u + 3*u - 2*u + 2*u + 2*u + 0*u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 1 - 5)*(2 - 2 + 1)*(2*m - 4*m - m) - 5*m - m + 3*m)*(-4*m - 2*m + 44*m) to the form d*m**2 + x*m + c and give d.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -2 (b) -1093 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 38 = 4*z - 0*b, -4*b = 2*z - 16. Suppose -8*w = -113 - 279. Let c = -13 + w. Calculate the highest common divisor of c and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, 2\/9, 14, -2\/11, -2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99 or 11\/5168?\nAnswer: 11\/5168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 7:13 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6*r + 4. Let g be (384\/(-2160))\/((-136)\/(-20)). Is r at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10 = -n - 4*n, -4*v - 20 = -3*n. Solve -2*u + 4 = 5*m - 13, 5*u - m + 25 = n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0695 - -3.0695. Sort -0.11, s, -3\/2, 0 in increasing order.\nAnswer: -3\/2, -0.11, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1101887, 1101889, 1101891, 1101893, 1101895, 1101897?\n\"Answer: 2*f + 1101885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(170))\/(sqrt(60)\/(sqrt(6) + sqrt(12)\/sqrt(2) + sqrt(6))).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h + 3*k = -18, -2*h - 3*k = -18. Suppose -5*i - 11 = 9. Let z be (-2)\/((-2)\/(-1)) - i. Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2536 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203\/4 - -51. Let p = -0.3 - -0.1. Let z = -75 - -80. What is the nearest to i in z, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -18 - 12. Suppose v - w + 2 = 0. Factor 2*g**5 - 5*g**5 + 4*g**v - 11*g**5.\nAnswer: -2*g**4*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - 2*b**2)*((-6*b**3 + 13*b**3 + 11*b**3)*(3 - 2 + 2) + b**3 + 2*b**2 - 2*b**2).\nAnswer: -110*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -26 + 99\/4*m - 24*m**4 + 835\/2*m**2 + 4*m**5 - 1585\/4*m**3 = 0. What is m?\nAnswer: -8, -1\/4, 1\/4, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1\/5, -1, -8\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 1 - (-9)\/3. Let i(m) = -m**2 + 2 + a - 1 + 2*m**2 - 4*m. Calculate the remainder when 27 is divided by i(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158167343\/30934962 - -2\/498951. Let m = i + 12\/31. Let g = -47\/12 + m. Find the common denominator of 69\/2 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 277 - 320.3. Let g = 27.3 + f. Is g greater than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 135 - 148 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 13, 3, -51, 5, 0 in descending order.\nAnswer: 13, 11, 5, 3, 0, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67920813.\nAnswer: 3, 29, 433, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(18)\/sqrt(36)) + sqrt(1250) + 4.\nAnswer: 4 + 51*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h. Let b be s(-1). Let u = 14 - b. Let a = -5 + u. Solve 3*m - a + 15 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {r: 7, g: 5, i: 1, h: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 693 and 616.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3443 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 247047 divided by 82349?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 7. Let r be t(12). Suppose -r*c + 3*n = -95000012, 3*c = -c - 4*n + 75999984. Round c to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 544\/136*-3*(-2)\/(-4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/2*4\/(-6). Let o(c) = 4*c**2 - 8*c - 8. Let u(y) = 10*y + 42*y + 15 - 35*y - 7*y**2. Let a(b) = m*o(b) + 3*u(b). Determine a(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.3, 4, 0.13, -0.7?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2174*u - 11370*u + 1354400 for u.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 3) + 17 + -12. Suppose -5*g - 5 = 0, -3*k = -m*g - 39 - 11. Does 26 divide 78\/9*(k - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3 - 38*s**2 - 336*s = 0.\nAnswer: -24, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 302074859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0408*-144\nAnswer: -5.8752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = 5*n + 2, 165 = 5*o + 4*n. Let p = -246 - -253. Let g(a) = 2*a**2 - 3*a + 8. What is the remainder when g(p) is divided by o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**6 + 26*v**4 + 149*v**3 - 551522*v**2?\nAnswer: 120*v**3 + 624*v + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1634 - 607. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x = -50*x + 53. Does 41 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 252, 317, 340, 321, 260?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6090 to the nearest 100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001010011111101 (base 2) to base 9.\nAnswer: 387012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 8:13 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*1650\nAnswer: -115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + 1005?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -214012242 (base 6) in base 16?\nAnswer: -3a67a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.44 and -925?\nAnswer: -17057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/440 and 91\/25432.\nAnswer: 127160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 232, 833, 2008, 3949?\n\"Answer: 32*h**3 - h**2 - 2*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -790 - -0.029.\nAnswer: -789.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 593680 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.961 and 0.2.\nAnswer: -5.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 624112?\nAnswer: 624112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37319100 and 1640400?\nAnswer: 149276400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 457159371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21101 (base 3) in base 2?\nAnswer: -11000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**3 - 22*o + 1. Let b(g) = -6*g**2 - 6*g - 4. Let y(h) = 35*h**2 + 36*h + 24. Let l(x) = -12*b(x) - 2*y(x). Give q(l(j)).\nAnswer: -12*j**4 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 7*a + 5*v - 9 = 0, -3*a + 3*v - 27 = 0. Let c be (-18)\/a*26 - (-1 + 0). Which is greater: c or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -258100?\nAnswer: 18067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(0 + 2) - (-28)\/14. Let u = 369 + -369.3. Sort u, 2, d, -0.5 in descending order.\nAnswer: 2, d, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*r + 16, -5*u + r = 4*r - 38. Let q = -8 + u. Let z be (2\/4)\/(q - 0). Which is the closest to z? (a) -2\/5 (b) 0.4 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 64. Determine u(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1999311 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550299.\nAnswer: 1550299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 9:19 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.77152 + 4.843. Round q to 3 decimal places.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -282*c - 10339 + 8083 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 459883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0986 (b) 1 (c) 67 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18769 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/3 + 12*i**3 + 811*i**2 + 11324*i\/3 + 2976 = 0. Calculate i.\nAnswer: -31, -4, -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 15819307.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**35*a*a*a))\/a**(1\/11) assuming a is positive.\nAnswer: a**(-408\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11265.22 + -11266.92000112. Let i = f + 1.7. Round i to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -767*w. Let u(f) = 2*f**2. What is u(v(y))?\nAnswer: 1176578*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -r - 0. Suppose 3*z - r = -0*z. Solve 3*d + z = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/120 + s**5\/12 + s**4\/24 + 5*s**3\/6 - 8*s**2. Suppose 3*y + 5 + 10 = 0. Let k be m(y). Is 0 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 5\/8, 1, -0.4 in increasing order.\nAnswer: -54, -0.4, 5\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*j + 48*j + 1301 + 4103 = -124*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148 - 32 + 58)*(-4 + 1 + 0)*(3 - q - 3)*(0 + 0 - 1).\nAnswer: -522*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((-2*sqrt(72) - sqrt(72))\/sqrt(8))*-5.\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*n - 11, 3*l + 4*n = n - 6. Is l greater than 3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -714*q + 309*q - 7290 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -1. Let c = 1.54 - 1.14. Put c, 2, m in decreasing order.\nAnswer: 2, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 2*m - 6*m)*(360089 - m + 104*m**2 - 360089).\nAnswer: -312*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + a**2 + 2 + 0.\nAnswer: -2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/680 and 79\/54268000.\nAnswer: 922556000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2913296, 5826592, 8739888, 11653184, 14566480?\n\"Answer: 2913296*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20821*m**2*z + m*z + m + 6*z + 100 wrt m?\nAnswer: 41642*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1478554\/45 + -32855. Calculate the common denominator of h and 25\/8.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 4, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -714, -1397, -2082, -2769?\nAnswer: -3458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 5*j - 1. Let n be p(-6). Let s be -5 - (-130)\/30*1. Which is the second smallest value? (a) s (b) 3\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77267?\nAnswer: 77267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 10 = m. Let o = 2 - 2. Let k(u) = u**3 + 5*u**2 + 6*u + 6. Let a be k(-4). Sort o, m, a in descending order.\nAnswer: m, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in 2\/9, -3\/2, -15\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115 and 40?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 47\/4 of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**30\/((l*((l\/l**8)\/l)\/l)\/(l*l*l**6)) assuming l is positive.\nAnswer: l**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 931, 3534, 7875, 13954, 21771, 31326, 42619?\n\"Answer: 869*x**2 - 4*x + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/14*4 + 711\/63 + 3979\/161\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 32*h + 121. Let a be x(8). Is -72 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Let p be r + -2 - (1 - 4). Let k be (-74)\/14 - 2\/(-7). Sort p, k, 2 in descending order.\nAnswer: 2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177048486 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 156168 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16822227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*c**3*o**2 - 2*c**3*o - 39*c**3*q**2 + 3*c*o**2*q**2 + 2*o with respect to q.\nAnswer: -78*c**3*q + 6*c*o**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2, -s - 556*b + 552*b = -13475. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 7*n - 5. Let r be s(-7). Let y = 81 - 76. What is the third biggest value in y, -2\/11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(9\/60)*(-33)\/44.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 10*y**2 + 14*y - 10. Let n be t(-8). Let l(r) = r**3 - 7*r**2 + 10*r - 9. Let v be l(n). Let z = -4 + v. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*v**3 + 40*v**3 - 185*v**3 + 3*v**2 - 3*v**2 - v**3 + (2*v**2 + 0*v**2 - v**2)*(-1 + 1 - v).\nAnswer: -197*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.97 - -0.03. Suppose -5*d - 3*u + 7 = -3*d, 21 = 4*d - u. Let q(o) = -2*o**2 + 18*o - 34. Let t be q(d). Is t < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968)*2 - sqrt(968))\/(sqrt(576)*1).\nAnswer: 11*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*w - 106, 0*w = w - 3*p - 43. Suppose -275*m + w = -268*m. Let n be (-5)\/(-1) + -2 + 1. Solve -m*h + 8*h = n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 309 = 741. Calculate the greatest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46241245 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + 1. Let g = a - 30.936. Let k = g + -0.06507. What is k rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/715 and 17\/39?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 509044949 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6 - 322\/420.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 359 + -3?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.29 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11968 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 97800735 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert a93d7 (base 14) to base 15.\nAnswer: 8158d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -0*b + 2*b + 14, 0 = 2*y + 4*b - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34137, 136695, 307621, 546921, 854601, 1230667?\n\"Answer: m**3 + 34178*m**2 + 17*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/12*3\/2. Let d be (3 + 25)*(m - 1). Which is greater: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.1 (c) 5 (d) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4939 + -4750. Calculate the remainder when y is divided by 186.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-9)*j**(-1\/17))\/((j*j\/(j**(4\/19)*j)*j*j)\/j*j**(-5\/6)) assuming j is positive.\nAnswer: j**(-17471\/1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 6*b**2 - b + 9. Calculate o(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3 + 4 + 3*c + 3 + 1. Let m be 160\/(-24)*6\/(-5). Let z(s) = 4*s + 8. Give m*t(d) - 5*z(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880 divided by -8?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-140)*(0 + 2). Let h(j) be the second derivative of -x*j**2 + 0 - 1\/42*j**4 - 2\/21*j**3 + j. Factor h(t).\nAnswer: -2*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45670, -45637, -45604, -45571, -45538, -45505?\n\"Answer: 33*d - 45703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Let a(g) = 2*g**2 - u*g**2 + 4*g**2. Let t(p) be the first derivative of 2*p**3\/3 + 1. What is t(a(x))?\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*i - 804 = 61*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 339 (base 15) to base 2\nAnswer: 1011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36950 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*l - 36*l - 113 + 32 - 39*l + 112*l in the form b*l + g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2+92994\nAnswer: 92992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 3. Let p(v) = -6*v - 9. Suppose 0 = 2*o, -4*o = -3*w - 0 - 21. Let z(d) = -5*d - 8. Let r(g) = w*z(g) + 6*p(g). What is 4*l(a) + 5*r(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9387 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 1. Let w(z) = -7*z + 17. Let h(t) = 5*q(t) - w(t). Let j be h(8). Solve j*c + 16 = 2*f + c, 5*f - 26 = 4*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198)\/(-176))\/((-615)\/82).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*g + 48 = -52*g. Suppose g*q - 3 = -m, 4*m - 3*q = -0 + 12. Suppose 0 = k + k - 42. Calculate the highest common factor of m and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n - 3. Let o be k(5). Suppose u + 1 = o. What is the remainder when 17 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.4 (b) -0.021 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**9\/7560 + v**8\/3360 - v**7\/1260 - v**6\/360 + 7*v**4\/24 + 12*v**2. Let d(g) be the second derivative of i(g). Factor d(q).\nAnswer: 2*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1148, -2251, -3352, -4451, -5548, -6643, -7736?\n\"Answer: r**2 - 1106*r - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158423 is divided by 52758.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -31 (b) -296 (c) 5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 744 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2584653\nAnswer: -5\/2584653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2321340414 (base 5) to base 9\nAnswer: -10810068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21203256 and 314514964.\nAnswer: 1887089784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a meter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5, 38.\nAnswer: -23, -5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7395490416?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 - 29*h**4 + 2*h**3 + h**2 + 2 + 27*h**4 - 3*h as y*h**4 + d*h**2 + m*h**3 + x + u*h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(11 + 3 - 5)*(-814*v**2 + 116*v**2 - 698*v**2) + 2*v**2 + 3 - 3.\nAnswer: 25130*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = -30. Calculate the remainder when 28 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39954 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (-10 + 24 - (-1 + -2 - -5))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (6 - -1) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356584, 1426311, 3209190, 5705221, 8914404?\nAnswer: 12836739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/((w\/w**(-9))\/w*w*w)))\/w)\/w*w**(7\/5)*(w**(2\/7)*w)\/w**(-1\/8))**(-3\/16))**(1\/26) assuming w is positive.\nAnswer: w**(-9921\/116480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30066 and 621364?\nAnswer: 1864092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 16 = 4*x, 3*z + x - 14 = 8. Let a = z - 4. Solve 3*s + a = -0*s - j, -3*s + 3*j - 12 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (477\/15)\/(-3) + (-12)\/8 and 27\/43.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*n**2 + 1 + 4*n**3 + 35*n**2 - 3*n**3 - 36*n**2 as p + f*n**2 + j*n**3 + h*n and give f.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 856, 4680, 8504, 12328, 16152?\nAnswer: 19976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i - 40. Does 10 divide f(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/11 + 186*u\/11 + 2212\/11 = 0.\nAnswer: -79, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 391 = -205. Suppose -65 + t = -z. Solve 3*h - 5*w - 10 = 0, -z*h + 9 + 11 = 5*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93020?\nAnswer: 2, 5, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131 - 106. Let z = v - 5. Solve 0 = -4*m + 2*s + z, 0 = -4*m + 4*s - 2 + 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93499448707 take away 50?\nAnswer: -93499448757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020574 to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22761 is divided by 3764?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + -26778001?\nAnswer: -26777865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 19*i - 71. Solve 9 = i*l - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2 + (-8343)\/19. Suppose 10*p - 888 - 3512 = 0. Let t = x + p. Which is the second smallest value? (a) -1 (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450231868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9395198 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (45\/(-6))\/5*(13 - 343\/21). Let c be (2 - (4 + -2)) + 0. Suppose 2*p - 18 = -c*p - 4*y, -2*p = -5*y + 9. Solve 2*s + 2*i - m = s, -p = -i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -462614*i**2 - 2*i + 2 + 462606*i**2 - 5 in the form d*i**2 + w*i + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2)*(5*f - 2*f - 4*f) + 336489*f + 52 + 590600*f + 226971*f - 52 - 272822*f as s + k*f and give k.\nAnswer: 881240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*u + 109*u + 372 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -693.9861 and 13.\nAnswer: -680.9861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -12*m - 44. Calculate z(-10).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 2 + 0\/(-1). Let f be 4\/2 - (1 + t). Let r be 0\/(f + (-4 - -2)). Are r and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 532 + -37771\/71. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**5\/80 - 11*h**4\/48 + h**3\/2 - 137*h. Factor u(i).\nAnswer: -i*(i - 1)*(i + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4592 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -1250*f**4\/3 + 43500*f**3 - 1546575*f**2\/2 - 935785*f\/6 - 7820 = 0.\nAnswer: -1\/10, 23, 408\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 + 36*u**3 + 36*u**2 - 340*u - 600.\nAnswer: 4*(u - 3)*(u + 2)*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*-385\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28, -51, -90, -151, -240, -363, -526, -735?\n\"Answer: -l**3 - 2*l**2 - 10*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 2:18 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 686?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 473497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141549072 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -426384a (base 11) to base 9\nAnswer: -15102644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*g + 3*w, 3*w + 22 = -g + 5*g. Suppose a + 16 = 5*c - a, -g*a = 2*c + 8. Suppose -c*k - 49 = -151. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 40*f**2 + 3*f - 1. What is d(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-4)*((-3564)\/165)\/(-27).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29819286*m**2 + 24625296 with respect to m.\nAnswer: -59638572*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, -52.\nAnswer: -52, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 8) to base 16\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 22774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 196. What is the smallest common multiple of n and 24?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f - 2*f - 3*f - f**2 - 3*f.\nAnswer: -f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 2 o when four letters picked without replacement from ceossscsioessoiooqie.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = -5*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1018194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -647720*j**5 + 3718*j**2 - 4*j + 12 wrt j?\nAnswer: -38863200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 + 303. Suppose 2*s - 5*s = -g. Let k = -62 + s. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/((v\/v**(3\/29))\/v*v))**38 assuming v is positive.\nAnswer: v**(2318\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 0 + 0*w + 8*w + 1. Let d be r(-9). Suppose 5*m + 3*g = m + 154, 3*m + 3*g - 114 = 0. What is the highest common factor of m and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 4. Let j(t) = t**2. Let x be j(1). Let d(l) = 4 - 4 - l + x. Let s(q) = 4*d(q) + p(q). Let w(o) = -2*o**2. Calculate s(w(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-347)\/(-5) - 2\/5. Suppose -o + 5*r - 6*r + 46 = 0, 3*r = 0. Calculate the highest common divisor of o and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)*-6)\/(1*sqrt(3)*-2).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1614 + a?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031*z**2 + 4*z**3 - 3*z**3 - 2*z**3 - 224*z**2.\nAnswer: -z**3 + 807*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 + 1 - 688*p - 2.\nAnswer: -688*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h + y - 46, -h + 2*y + 20 = 0. Calculate the smallest common multiple of 12 and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + 3 + (sqrt(125) - (sqrt(125) + -1)) + 1 + sqrt(5) + sqrt(180)\/sqrt(4).\nAnswer: 5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 0.86319?\nAnswer: 2.86319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 67716 = -3*u - 5*j, -5 = j. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61 + 3*r + 26 - r)*((4 - 3 + 6)*(r + 0 + 0)*(-2 - 1 - 2) - r - r + r) in the form b*r + x + w*r**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 71*a**2 + 25*a - 20. Let g be y(1). Solve g = 3*r - 22*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-22)\/o**12 assuming o is positive.\nAnswer: o**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -18*n**3 - 2*n - 1 + 6*n**3 - 8*n**3. Let s be 4\/18 + (-121)\/99. What are the prime factors of l(s)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - j = 4, -6*y - 794 + 780 = j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -144*r*s + 2*r*w**2 - 54*r + 7*s*w**2 + 1141*s*w + s - 4*w**2 wrt w.\nAnswer: 4*r*w + 14*s*w + 1141*s - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 341*d + 4561. Let v be f(-13). What is the highest common divisor of 184 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-3))\/(-1 + (-278)\/(-282)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-5))\/((1968\/60)\/(-41))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22256183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from iiqiioiqoqii?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 2*m**2 + 0*m**2)*(-25 + 28 + 12) + 2*m**2 + 3*m**2 - 2*m**2.\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4241 divided by 1.\nAnswer: -4241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2224966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 5 + -13 - 18) + 59?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + b + 9 = 0, 193*b = -3*z + 189*b + 39. Calculate the remainder when (-2)\/4 + 50\/4 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 20 + 1\/3*q**3 - 1\/60*q**5 + 0*q - 1\/24*q**4 + 1\/24*q**6 + 2*q**2. What is s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 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 q = 9 - 4. Suppose q*h - 10 = 0, 6*o + 3*h - 166 = o. Suppose 3*j - 4*k - o = 3, -j + 3*k = -20. Solve j*c + 5 = 4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 30*s**2 - 30*s - 24. Let b be f(-29). Suppose 4*d + 5*l - 2*l = 767, b*l - 387 = -2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Suppose 3*i - 171 = l*o, i - 2*o - 70 = -15. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(66)*3 - sqrt(66)) + sqrt(66)) + sqrt(66))\/(sqrt(726)*1).\nAnswer: -8*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 + -53. What is the remainder when 46 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 877080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -44*m**3 - 8*m**2 - 8*m - 1. Determine q(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olfxxlif. Give prob of sequence xlo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9215649 tonnes in micrograms?\nAnswer: 921564900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4184 - -4189. Let j be ((-1)\/(-2))\/((-1)\/2). Sort j, 1, l, 6.\nAnswer: j, 1, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let i(n) = -8*n + 0 - 8 - 4 + 10. Calculate i(a) - 5*v(a).\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1273, -2544, -3815, -5086, -6357, -7628?\n\"Answer: -1271*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 29. Which is the nearest to 0.1? (a) -5 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/45)\/3*5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/16)\/((-25)\/(-185)*27\/(-270))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2106, -2105, -2104?\n\"Answer: d - 2107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4\/23 + 436*i**3\/23 - 14090*i**2\/23 - 209788*i\/23 + 223440\/23 = 0.\nAnswer: -245, -12, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -1106.\nAnswer: -1105.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 62 in descending order.\nAnswer: 62, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 0. Let i = -2 + -18. Let q be (i\/15)\/((-2)\/3). Sort q, 3, s in descending order.\nAnswer: s, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 29. Let j = 31 + -27. Calculate the highest common factor of w and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*k + 7, -5*q = 4*k - 16. Suppose q = 2*r - 7 + 5. What is the first derivative of -r + 0 + 3*z - 5*z + z wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*33082.51.\nAnswer: 231577.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q - 1. Let c be v(-2). Let n = -2 + 4. What is the remainder when 8\/(-4) - -1*c is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c**2. Let o(i) be the second derivative of -7*i**4\/12 + 14*i. Determine o(s(z)).\nAnswer: -567*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*20\/(-44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*n**3 + 645*n**3 + 431*n**3 - 1465*n**3.\nAnswer: 153*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4778304 divided by -2389152?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by 18\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -230 + (-101 - -201) + (-2 - -27)\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**4 - 2*d + 4 + 4*d - d - 1. Suppose -2*h = -2*k + 8, 24 + 1 = -5*k - 4*h. Calculate l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164 + -288. Let j = k + 206. Suppose -99 = -3*o + 3*p, -o - o = 2*p - j. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 + 4 = -4*t, 3*m + 2*t - 19 = 0. Solve 0*v - m*g = 4*v + 5, 2*g = v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1425 by -185.\nAnswer: -285\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (10 - 11))\/(-4 - (-469)\/119)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**3 + 0 + 0)*(0*y - y - 6*y) + (-3*y + 3*y + y**3)*(-y + 4*y - 5*y) as p*y**4 + d*y**3 + b + z*y**2 + w*y and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + 5. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -10375069 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*i = -1, 0 = -5*g - i - 5 - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(20) + sqrt(5) + 2)**2 + (sqrt(160)\/(sqrt(4)*-2))\/sqrt(8).\nAnswer: 23*sqrt(5)\/2 + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2. Let l(d) be the third derivative of d**5\/60 + 6*d**2. Determine x(l(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137923058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -457, -427, -397?\n\"Answer: 30*o - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, 1955, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 62199824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 0 = t + 15, 5*x = 17*t + 66 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a + -1c74a8?\nAnswer: -1c741d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53684*j - 70908?\nAnswer: -53684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26221061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*a + 57. Let i = -10 - a. Is 768\/i + 1\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -113 - (7 - (7 + 0 - (-251 - -243))).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 13. Suppose -f*c + 16 = -4*c. Suppose z + c = 67. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/3 + 31*d**3\/3 + 334*d**2\/3 - 343*d - 198 = 0. Calculate d.\nAnswer: -9, -1\/2, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37951\/80 - -2391\/5. Let c = 4456 - 8066. Let d = -65003\/18 - c. Calculate the common denominator of d and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7251668g in milligrams?\nAnswer: 725.1668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/33 and -58\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 45*o - 312. Let q be l(7). Let r = 5 + -3. Let g = r + -4. Which is the biggest value? (a) g (b) -0.05 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 2 - 2)*(2 - 5 + 2) - 2 - 1 + 1)*(744*f - 176*f + 1 + 1).\nAnswer: -2272*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-5 - 4) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**7\/105 - x**5\/30 + 15*x**2\/2 - 24*x. Let o(n) be the first derivative of g(n). Find the third derivative of o(c) wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 + 134.9. Let f = 8 - t. Let r be ((-35)\/(-15))\/7*1. What is the second biggest value in r, 3\/2, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40497952 divided by 1\nAnswer: -40497952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*r - 6*r + 254, w - r = 87. Suppose -3*x + w = c, 2*x + 358 = c + 3*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801480\/70 - (-12)\/(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5 = 3*y, 5*f + 5*y = 9*y - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 - 21.4152.\nAnswer: -21.2652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2199 - -2?\nAnswer: 219b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 95 = 5*f, 5*u + 5*f = -0*f + 75. Let y(l) = l**3 + 51. Let j be y(0). What is the greatest common factor of j and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 162, 238, 314, 390, 466?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3675)\/(25\/(-5)) - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2*t - 2*t**2 - 3*t)*(-t - 2*t + 10*t)*(0 - 2 + 4).\nAnswer: -28*t**3 - 14*t**2 - 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1249*g + 98771 = -3803*g - 5943 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*o + 5 = -12, 3*y + 5*o = 7. Solve 0 = -3*k + y + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/30*3\/(-10)*(-108)\/27. Factor -m*u**2 - 16\/5*u + 48\/5.\nAnswer: -4*(u - 2)*(u + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 14 = v, -3*h + 4*h + 2*v + 7 = 0. Suppose -h = 3*n - 45. Suppose n = 2*m - 10. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3105?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-15)*j*j)\/(j**(-1\/9)\/j))**(-39) assuming j is positive.\nAnswer: j**(1391\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (1\/(-2))\/(-1). Suppose 26*b + 3 = 23*b - q, 3*b + 5*q = -15. Which is greater: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809 - 809 + 21*v**2 - 123*v**2.\nAnswer: -102*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/11 + 1198*c\/11 - 358801\/11 = 0. What is c?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in -2\/7, -4, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 + 7*r - 2. Let s(a) = -14*a**2 - 21*a + 5. Give -4*s(h) - 11*v(h).\nAnswer: h**2 + 7*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -475 - -484. Calculate the highest common factor of n and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/333900 and 149\/4770.\nAnswer: 333900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 683758750 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 240633*d**3 - 300*d**2 - 103*d - 1.\nAnswer: 1443798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39679, -38783, -37289, -35197, -32507?\n\"Answer: 299*c**2 - c - 39977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -1, -41.908, 17, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-35)\/d**(3\/4)*d**(-12\/11)\/((d**(-12\/7)\/d)\/d))**(5\/9) assuming d is positive.\nAnswer: d**(-17005\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/3 - 11920*h**2\/3 + 2094616*h\/3 - 30234848 = 0 for h.\nAnswer: -6132, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 405\/18*3956\/1935.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*w - 5*d, -w - 4*d + 11 = -d. Let x(c) = c**w + 33*c - 33*c. Let g(z) = -28*z**2. Calculate g(x(o)).\nAnswer: -28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -18*m + 89. Is r(-37) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 509743500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**3 - 7*c**2 + 13*c. Let v be i(3). Let g = v + 187. Solve -8*w + 7*w = g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4366915, -4366908, -4366901, -4366894, -4366887, -4366880?\n\"Answer: 7*n - 4366922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 5, 2\/5, -4, 10\/9, 83?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44477 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 third root of 7333881368 to the nearest integer?\nAnswer: 1943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452485?\nAnswer: 5, 11, 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -448.9 + 448.9495. What is the third smallest value in -5\/3, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**3\/6 - y**2 + 3*y. Let z(t) = t + 2. Let g(a) = 7*m(a) + 6*z(a). What are the prime factors of g(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q - 4*m - 8 = -11*q, -20 = -4*q + 3*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 6. Let k(u) = 2*u + 13. Determine -7*j(z) - 3*k(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*i - 55, 2*i - 33*m + 29*m = 10. Solve -i*n = -5*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsojosjfj. What is prob of sequence fs?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*12\/(-1)*(-348)\/25752*518?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.01 - 4.09. Let h = y - -5.5. Let s = 11.84 - -0.16. Which is the fourth smallest value? (a) h (b) 5 (c) 0 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 7)*(-2*c**4 + 3 - 3)*(-2*c + c + 2*c).\nAnswer: -16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3194233, -3194215, -3194179, -3194125, -3194053?\nAnswer: -3193963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42474811?\nAnswer: 41, 593, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 35, -2, 6 in descending order.\nAnswer: 35, 6, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -538.5 + 538. Let u(s) = -s**3 - 5*s**2 - 4*s - 1. Let q be u(-4). Which is the nearest to q? (a) r (b) -0.2 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -769487*a**2 + 140*a + 150.\nAnswer: -1538974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 31. Suppose -x + 0*x - q = 0. Let a = x - -57. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 11*b**3 + 9. Let t(c) = 10*c**3 + 8. Let y(s) = -3*r(s) + 4*t(s). Find the first derivative of y(g) wrt g.\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -47. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55654*j - 55651*j - 55657*j + 166957*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10*2)\/(-64*(-63)\/60480).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*n + 5*t, 2*n + 2*n + t = 13. Suppose -6 = -3*r + 5*r - 3*q, -n*q = 2*r - 14. What is the first derivative of -2 - h**3 + 3*h**r + 3 wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-217)\/(-21)*(1 + 2). Let u = d + -26. Which is the nearest to 2? (a) u (b) -1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u + 2 - 4 - 14*u + 9*u - 11. Calculate f(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636892.\nAnswer: 2, 7, 193, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - -3. Let p(d) be the third derivative of d**4\/6 + 149*d**3\/6 + 3*d**2 + 18*d. Let j be p(-35). Calculate the greatest common factor of f and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 2064?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4439 = 4476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 66 = 15*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 86, 69, 4.\nAnswer: -5, 4, 69, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-12) - 1\/4. Let j = 0.07 - 0.37. Which is the nearest to -2\/3? (a) -0.2 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7298492 or -7298491?\nAnswer: -7298491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 + -73. Suppose 0 = j + 7 - k. Let d be (-1)\/1 - 1 - j\/(-9). Solve d = 7*i - 9*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/150 + c**4\/18 - 4*c**3\/45 + 208*c. Determine t so that a(t) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.546547l?\nAnswer: 9546.547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-1 + (-40764)\/(-22)). Let m = -1847 - v. Let j = -197 + 599\/3. What is the common denominator of j and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1. Let w(h) = -4*h + 33. What is 3*p(j) + w(j)?\nAnswer: -4*j + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90779366 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 7*b + 7. Calculate t(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20140076, -20140077, -20140078, -20140079?\n\"Answer: -u - 20140075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**4 - 12*t**3 + 3*t**2 + 10*t - 2. Let j(i) = -35*i**4 - 85*i**3 + 20*i**2 + 70*i - 15. Let v(b) = -2*j(b) + 15*u(b). Factor v(c).\nAnswer: -5*c*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {c: 2, z: 2, x: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 126.17373493 and -1.1707.\nAnswer: 125.00303493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -92 + 26*k + 268*k**2 - 263*k**2 + 93 in the form i*k**2 + n*k + w and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**5\/5 - n**4\/4 - 2*n - 1. Let h(w) be the first derivative of b(w). What is the third derivative of h(g) wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*(sqrt(300) + 2) + 6*sqrt(300)*1)*-5)**2.\nAnswer: -32000*sqrt(3) + 126400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.058 + -5.058. Let s = -0.04 + -4.96. Let h = -1 + 4. What is the nearest to n in -1\/7, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 136.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.24 + -4.\nAnswer: -8.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 873758911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 7*l**2 - 9*l + 11. Let v be a(8). Suppose -v*m - 2*y + 23 = -47, 2*m - 49 = y. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8574*w**3 + 16*w - 16. Let n(p) = -1715*p**3 - 3*p + 3. Give 3*f(c) + 16*n(c).\nAnswer: -1718*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4185\/(-24) + -5 - 63\/(-168). Which is smaller: w or 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - p)*(p + 88 - 89 - 6*p) to the form y + b*p + q*p**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 + -91 - (16 + 2 - -4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*v**2 + 167*v**2 - 596*v**2.\nAnswer: -752*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -9787 and 7.\nAnswer: -9780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(72\/(-6)))\/((-5)\/70)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 - 2077.\nAnswer: -2074.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 210310621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 33, 1.681, -6, -1\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-15)*732\/(-488))\/(56\/20)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeq when three letters picked without replacement from {q: 2, n: 3, g: 2, e: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 49. Determine u(20).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 6230171*o**2 + 0*o - 6230171*o**2 + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -10*4\/(-66). Let s = v + -3\/11. Let m = 5 - 4. Are m and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -534?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdrffdzffrrjfjd. Give prob of sequence dr.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 441\/18710?\nAnswer: 441\/18710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {q: 3, r: 4, h: 2, i: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 29. Let a be 26\/(-143) + 70\/22. Solve -a*s - 2 = -q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829438407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 19*r + 21. Is 23 a factor of p(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49190*k**4 + 19115.\nAnswer: -196760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*h + 160*h - 52*h + 1201*h**2 + 1300*h**2 - 56*h in the form f*h + g*h**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*r - 15*r - 39*r + 17*r to l + n*r and give n.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892952, -892960, -892968, -892976?\nAnswer: -892984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042617276 a multiple of 1018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3001*j**2 + 132*j**6 + 502*j**6 + 2*j**3 + 4045*j**5 - 2027*j**5 - 2018*j**5 wrt j.\nAnswer: 76080*j**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -718 + 1096. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349.72596 minutes in days?\nAnswer: 0.24286525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**(-10\/11)\/((o*o**(-3))\/(o*(o\/(o\/o**(-2\/5)))\/o*o*o)))**(3\/14) assuming o is positive.\nAnswer: o**(222\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**3 + 19*g**2 + 32*g + 15. Let m(w) = -14*w**3 + 53*w**2 + 95*w + 42. Let y(q) = -11*a(q) + 4*m(q). Give y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 302?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/18*(-4 + 15\/6). What is the nearest to 0 in -0.5, -17, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzfzfdofyfzfhzzfyfoo. Give prob of sequence yoh.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (39\/(-12))\/(2\/(-56)). Let z be (4 - 3)*6 - 3. Let x = z - -10. What is the highest common factor of x and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 220*c - 4181. Let h be b(19). Let f be 1\/(-2) - (-3)\/18. What is the closest to f in h, 2, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21871144 - -54.133.\nAnswer: -21871089.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*f**5 + 1165*f**4 + 2580*f**3 + 560*f**2 - 320*f = 0. What is f?\nAnswer: -4, -4\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3494556 a multiple of 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.35 + -0.05. Let m = 25 - 29. Let y = -3686.3 - -3686. What is the biggest value in 1, y, m, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141501\/11 - (-1245)\/4565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.5 + 0.5. Let x = -3 + g. Let i = -146 + 146. What is the biggest value in i, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, -2\/67, 0?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5.97 * 0.1\nAnswer: 0.597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - f**2 - 2*f - 4. Let r be p(-3). Suppose -v - 3*v = r. Let x(o) = -2*o - 6. Let y be x(v). Solve -y*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 = 3. Suppose -3 = o*x - 9. Suppose -s - s = -x. Are 3\/11 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.86 and 59480?\nAnswer: 110632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -v + 2, 0 = -8*a - 3*v - 3376 + 3338 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -197983*0.3\nAnswer: -59394.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*f - 20, 6*x + 5*f - 5 = 7*x. Let g be ((-24)\/(-10))\/(6\/x). Suppose -7*v = -g*v + 5. Solve 3 = -3*c - 2*b, -2*b = -5*c - 0*b - v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 9*f**2 - 4*f + 9. Let z = 27 - 19. Let r = 376 - 365. Calculate the remainder when i(z) is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 9:00 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggvgvggvgggvggggggv. What is prob of sequence vv?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 2 - j + 4*j**3 + j - 2774*j**2.\nAnswer: 4*j**3 - 2774*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 0, -1\/19 in decreasing order.\nAnswer: 1.3, 0, -1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 167918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906536 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 18*w**3 + w**2 + 13. Let c(i) = -126*i**3 - 6*i**2 - 87. Calculate 4*c(s) + 27*y(s).\nAnswer: -18*s**3 + 3*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 + 57*f - 172*f + 57*f - 71*f**2 + 61*f - 2*f**3 in the form q + a*f**3 + z*f**4 + u*f**2 + h*f and give u.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203616*o**3 + 2005*o + 1.\nAnswer: -1221696*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1072293781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 1 + 10. Suppose -r - 3*o + 8 = 0, 0*r - 16 = -h*r - o. Solve -r + 17 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1221803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332944 is divided by 197?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/2 + 96*v**2 - 512*v = 0. What is v?\nAnswer: -16, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107 and 68587?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 8, x: 3, f: 2}. Give prob of picking 2 x, 1 e, and 1 f.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -124 + 122. Which is the biggest value? (a) 0.15 (b) x (c) -2\/11 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1584\/(-162) - 4\/18. Let b(g) = -2*g + 4. Let u be b(6). Let n = u - v. Solve 0 = 2*o + 3*f + 17, 0 = -4*o + o - n*f - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.25 + -15.25. Let d = -17 - v. What is the smallest value in -5, 0.1, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -765, -1326, -1885, -2442, -2997, -3550?\nAnswer: -4101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2792 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10\/7 (b) 3 (c) 291 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -43, 0, -2, -10 in increasing order.\nAnswer: -43, -10, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 164810729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, 0.1, -88602 in descending order.\nAnswer: 0.1, -0.1, -5, -88602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bygf when four letters picked without replacement from qfqhyghqygbq.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96225 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*v = 100*v + 3940 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 126b - 2?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -2, 22, 56, 100?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/3*26. Let w = -2 - o. Let m = w - -26. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 3*d + 1. Let a(v) = 3*v**3 - 2*v**2 + 1. Let b be a(1). Let m(h) = 1 - 5*h**2 - 18*h**2 + 1 + 21*h**2 - 3*h. What is b*m(s) - 3*j(s)?\nAnswer: 2*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35544, 35511, 35478, 35445?\n\"Answer: -33*k + 35577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.3 (b) 3\/4834 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -30. Let n = m + 11. Let r = -44\/15 + 18\/5. What is the nearest to 2\/7 in -5, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 9*b - 4. Suppose -5*o = -k + 5*k + 52, -3*o - 44 = 4*k. Let p be t(k). Let r = -32 + p. Calculate the greatest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188403 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5 + 20*j**2 + 19*j**2 - 5 - 36*j**2. Let w(f) = 81*f + 1. Give t(w(z)).\nAnswer: 19683*z**2 + 486*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 13) to base 8\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(24\/(-4)))\/(-4))\/(15\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 - 4823*r**3 - r**2 - 13*r - 12*r + 39*r - 13*r.\nAnswer: -4823*r**3 + 6*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 12657029 and 2.\nAnswer: 12657031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191984.7 rounded to the nearest one thousand?\nAnswer: -1192000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 38*q**3 - 12*q**3.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) - -4*sqrt(99)*-1) - (sqrt(99) + 1*(-1*sqrt(99) + sqrt(99)) + sqrt(99)))*3)\/(sqrt(81)\/(sqrt(45)\/sqrt(5)) - 4*sqrt(144)).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -308ab (base 12) to base 4\nAnswer: -33200003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-12608)\/25)\/(16840\/(-100)) - 3 and -29\/2526.\nAnswer: 12630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-39)*(-106)\/(-530)\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/216*(4 + (-46)\/4) + (-1769)\/(-348).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 73*a + 6. Let n(f) = 73*f + 7. Let u(g) = -4*n(g) + 5*y(g). Let t be u(6). What is t rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 1, g: 1}. Give prob of picking 1 g and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1 - 32) + -49 + 75 + -29.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 73. Calculate the common denominator of (-1)\/8*q\/99*-137 and 157\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 467, 451, 413, 341, 223, 47, -199, -527?\n\"Answer: -2*y**3 + y**2 - 5*y + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*c - 17 = 0, -2*l - 22 = -2*c - 2*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + -1)\/((-9)\/6). Let a(y) = -5*y + 88. Let x be a(16). What is the highest common factor of t and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 10:44 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5\/7 - 2*l**4\/7 - 2*l**3 + 2*l**2\/7 + 12*l\/7 = 0.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/2651 and 91\/6913808.\nAnswer: 6913808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532.3324 centimeters to millimeters.\nAnswer: 5323.324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**2 - 5*x + 5. Let l = 207 - 206. Let q(s) = -s + 1. What is l*u(p) - 5*q(p)?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(3*q**3 - 5*q**3 + q**3) + 11*q**2 + 4*q**3 - 11*q**2 in the form h*q + c*q**3 + j*q**2 + p and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206920, -413831, -620742?\nAnswer: -827653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n - 3. Let s = 10 - 15. Let b(v) = -2*v - 7. Let f be b(s). Is r(f) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s. Let i(w) = 2*w + 2. Determine 4*i(t) + n(t).\nAnswer: 3*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/42*(-54)\/(-6).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.04 - -0.04. Let i = -11.525 - 0.075. Let d = i - -12. What is the smallest value in 1\/2, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671\/(-11)*(-6)\/3?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 799 = -d, -5*d + 378 + 433 = 2*g. List the prime factors of g.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11826 and -0.03.\nAnswer: -11826.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284254 is divided by 277375?\nAnswer: 6879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*c*l**2 + c*l*o + c*l - 2*c*o - 4*c - o - 207 wrt l?\nAnswer: 144*c*l + c*o + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 127*s + 2030. Let i be d(-15). Calculate the highest common factor of 405 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from geveveevveetegte?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = 12457*z - 138 - 141 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ttttiit.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p. Let y(w) = 150*w**3 + 300*w**2 - 300*w. What is -300*x(l) + y(l)?\nAnswer: 150*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*w - 1583, -g + 628 = 2*w - 0*w. Suppose 5*i - w = 5*r, -4*i - 63 = -3*r - 312. What is the highest common factor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -50, -96, -170, -278, -426, -620, -866?\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3450)\/350 + -48*17\/(-102)\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(468)*-1)**2 + sqrt(468) + 5)*6 + (-6*(sqrt(1872) + -2*sqrt(1872))*6*2)**2.\nAnswer: -144*sqrt(13) + 9693096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**2 + p + 36*p**2 - 2*p - 5*p + 15*p to z*p + l + k*p**2 and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6496 + 7482. List the prime factors of j.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3992.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503 - 493 = j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 - 1024\/9. Let i(g) = -g + 5. Let j be i(5). Is j at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Suppose 0 = s + 2*c + 2, 0 = l*s - 5*c + c - 24. Suppose 44 = 4*v - 4*r, 0 = -v + 5*v + s*r - 44. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 22*c - 47696 = 18*c, 15903 = r - 3*c. Round r to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12779 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 - (18 + -50 + 0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7.35598 - -0.0557472\nAnswer: -7.3002328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(10 - 8 + l - 3)*(-9*l - 3*l + 2*l)*(-7 + 0 + 3) - l**2 + l**2 + 2*l**2.\nAnswer: -78*l**2 + 80*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 13. Let v = 1158.9 - 1276.9. What is the second biggest value in -5, y, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + 104. What is the lowest common multiple of (-39)\/(-117)*(0*2\/12 - -15) and x?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137490, 137492, 137496, 137502?\nAnswer: 137510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -19264607209*u**3\/5 - 19264884803*u**2\/5 - 55519*u - 1\/5 = 0.\nAnswer: -1, -1\/138797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830 bigger than 1830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10290.48 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497, 472, 411, 296, 109, -168, -553, -1064?\nAnswer: -1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -5, -3 in decreasing order.\nAnswer: 22, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 3084.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -388.92 * 17.7\nAnswer: -6883.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-2 - 166\/(-82))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0588608 + -171.5239392. Let s = w + 172. What is s rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11*(-7)\/77*-11. What is the third smallest value in 1, f, 2\/65, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/43)\/(756\/(-24)*(-5)\/315*-9)?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.2, -0.5, -16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242\/51 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/33))**(-6\/17)*(k\/(((k**1*k)\/k)\/k))**(35\/6) assuming k is positive.\nAnswer: k**(6161\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 c when three letters picked without replacement from {n: 5, v: 1, c: 4, u: 4, a: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1069, 1070, 1071, 1072, 1073?\n\"Answer: u + 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4 + (-75)\/(-20)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 17*m**2 + 15*m - 14. Let a(j) = -12*j**2 - 10*j + 9. Let r(g) = -7*a(g) - 5*i(g). Calculate r(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19705 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1191*z + 72783. Let v be y(-60). Factor v + 42*p + 1\/3*p**2.\nAnswer: (p + 63)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -90659, -362647, -815961, -1450601?\n\"Answer: -90663*o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 25454?\nAnswer: 3\/25454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1412*y - 2892*y - 562*y + 31*y.\nAnswer: -4835*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 126.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3028.606 grams to kilograms.\nAnswer: 3.028606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 198\/89, -16\/5?\nAnswer: 198\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -643*a + 1285*a - 18 = 633*a. Let t be 3\/8*1*-2. What is the closest to a in 2, -3, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-56.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111509786.\nAnswer: 2, 37, 1506889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28900806793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 119 - 108 - (-146)\/(-14). What is the fifth biggest value in 2\/7, 8, -3, t, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1545 + -4633\/3. Factor 0 - 1\/6*k**3 + 2\/3*k - 1\/6*k**4 + v*k**2.\nAnswer: -k*(k - 2)*(k + 1)*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1584 divided by 16\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8429529 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5100238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -521355069 divided by -173785023.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/(15\/135). Let t be 45\/p - (-1)\/(-2). What is the second derivative of h**3 - 4*h - t*h + 11*h**4 - h**3 wrt h?\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**5\/30 - l**4\/6 + l**3\/3 - l**2. Let b be w(2). Suppose 0 = j + b*j. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10}. Give prob of picking 2 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105 + (21 - (8 + 77)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34644117?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v - 3. Let p = 0 - -1. Let k = v - p. Solve w = -k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/5)\/w**(2\/7))**(6\/37))**(-11) assuming w is positive.\nAnswer: w**(-726\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1264 - -1266. Let w = -10 - -13. Suppose -3*a - 2*k + 6 = 0, 3*a - w*k = 2*a + 13. Solve p - d = 3*d + 13, a*p - 10 = r*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*1)\/sqrt(8) + 2*sqrt(432) + sqrt(432).\nAnswer: 37*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9 = -2*n, -2*j - 19 = j - 4*n. Let x be ((-252)\/(-15))\/(j\/(-10)). Let h = -85 + x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40813327 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 2:33 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69824?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 10:58 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21094.5 + 21094. Let g = -259\/5 + 52. Put q, 5, -29, g in decreasing order.\nAnswer: 5, g, q, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3656184*z**3 - 4206599*z**2 wrt z.\nAnswer: -21937104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.121 + -0.079. Which is the second biggest value? (a) 0.5 (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 140*j - 130*j - 15380. What are the prime factors of j?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(3 + (-2 - 3)). Suppose 13 = -l*t + 9. Let u be ((4 - 1) + -3)\/t. Solve u = -5*y + y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2888 divide 41306788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-150)\/(-20) - 7))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/10*(-130)\/1053*9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4245763*n. Let h(s) = -27*s. Give q(h(x)).\nAnswer: -114635601*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 364752.7 litres?\nAnswer: 364752700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 2*y**5\/165 - 17*y**4\/132 + 4*y**3\/33 - 15*y**2. Find z such that t(z) = 0.\nAnswer: 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k - 35*k - k**2 - 24*k.\nAnswer: -k**2 - 42*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-216)\/(-84)))\/(5*(-3)\/(-1710)).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79827098 to the power of 1\/2, to the nearest integer?\nAnswer: 8935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1467, 6044, 13661, 24306, 37967, 54632?\n\"Answer: -2*r**3 + 1532*r**2 - 5*r - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 - -110101111?\nAnswer: 110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 94 + 158 = 3*o, -4*o + 336 = -5*v. Let w(c) = -84 + o + 66*c**2 - 65*c**2. Let g(x) = -4*x - 9. Calculate w(g(t)).\nAnswer: 16*t**2 + 72*t + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.096 and 4?\nAnswer: 3.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1100000001 (base 2) to base 6\nAnswer: -3321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1760*y**3 + 2165*y**3 + 4308*y**3 - 472*y**3 + 3880*y**3.\nAnswer: 8121*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4416 = 4*s, -3*h - 2*s - 575 = -3884. What are the prime factors of h?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1735338 is divided by 2673.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a60a97 (base 12) in base 11?\nAnswer: 1526179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, z: 1, e: 1, s: 2, b: 1}. What is prob of sequence szn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11 = -3*h, c = 6*c + 5. Let n = h + -4. Let w = -74 - -369\/5. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001 (base 4) to base 11.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274555 divided by -5.\nAnswer: 54911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39047 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r**3 - r**2 - 5*r - 5. Let g be 1 - (-45)\/20 - 25\/20. Let m(i) = 5*i**3 - 2*i - 2. Calculate g*t(k) - 5*m(k).\nAnswer: -3*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(((-4)\/(-2))\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/12 - (-2)\/(-8))*2. Let n(j) = -j**2 - 4*j + 1. Calculate n(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*g + o, 3*o - 11 = -3*g - 2*g. Suppose -8*s + 21*s = 130. Suppose 3*d + g - s = 0. Solve -3*n = -d*p + 9, 5*n = p + 3 + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:19 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 + 19 = 0. Let s be 6\/(-4)*(-16)\/(-6). Is s at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8148.37 minutes in seconds?\nAnswer: 488902.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -276, -280, -284, -288, -292?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 3*k = -60, 0 = r + 5*k - 314 + 378 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q - 332*q**2 + 5*q - 6*q + 223 - 221 - 2*q**3 to the form p*q**2 + a*q + n*q**3 + r and give p.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 121*k + 9. Determine v(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -12*i - 2. Give m(4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 55*c - 52)*(1 + 2*c**3 - 1).\nAnswer: -110*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.241 + -1.296. What is the third smallest value in 1\/3, 0.4, b, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 44792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 208457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 59*b + 29. Let h(r) = -185*r - 91. Let y(v) = 7*h(v) + 22*k(v). Suppose 2 - 12 = -5*q + 2*w, -9 = -q - w. Let o(x) = 2*x. What is q*o(z) - 3*y(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -635, -621, -599, -569, -531?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - s - 2 = 0, 0*s - 4*s - 8 = -5*l. What is the second smallest value in 4, l, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301110 (base 4) in base 13?\nAnswer: 158a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -103\/4. Let m(t) = -3*t**2 - 13*t - 9. Let b be m(-4). Let a be (1\/3)\/((-8)\/6). What is the nearest to a in b, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - m = -962, -5*p = 5*m - 537 - 1073. Let c = 361 - p. What is the remainder when c is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -328, -0.1, -2\/27, -0.2, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 1234*x - 1234*x - 3*x**3 + 3*x**2 in the form z*x**3 + m*x + v*x**2 + i and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/5)\/v**7)**0)**(3\/13) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5.95 times -4.3\nAnswer: -25.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -434189, -868343, -1302485, -1736615, -2170733, -2604839?\n\"Answer: 6*r**2 - 434172*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/12)\/(3\/(-8)). Let f(x) = -x + 1. Let p(u) = 8*u - 10. Let m(c) = 5*f(c) + p(c). Calculate m(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -416006 + -24727?\nAnswer: -442735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-11)*-3)\/(291\/(-194))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.987 - -0.013. Let b be ((-63)\/(-385))\/((-8)\/50). Let g = 14\/11 + b. Sort i, 0.5, g.\nAnswer: g, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 373741885 to the power of 1\/2, to the nearest integer?\nAnswer: 19332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3 + 142. Let a = j - 26. Let w(s) = 17*s**3 + 0*s**2 + 4 - 16*s**a + s**2 - 6. What is w(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, z: 1, k: 3}. Give prob of sequence nzkk.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32232?\nAnswer: 2, 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1510*b**4 - 1857 + 30*b**3 - b + 399 - 30*b**3 with respect to b.\nAnswer: -6040*b**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 - 84. Suppose 0 = h - m*h - 4*h. Suppose -5*k - 13 + 48 = 4*v, h = -4*v - 20. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*i - 128*i - 5*a - 53732 = 0, 4*i = -3*a + 107438. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 135*s + 13117. What is b(-97)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145313.3 + 145313. Let q = -0.6 + 0.3. Which is the closest to j? (a) -2\/7 (b) q (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/35 and -28\/7495.\nAnswer: 52465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7994322 to the nearest integer?\nAnswer: 2827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92437861 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*l + 1394 - 1334 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4196.2 and 0.5?\nAnswer: 2098.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2.1. Let r = -1.76 + -1.24. What is the closest to v in -1, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a**3 + a**2 - a. Let t be ((-6)\/9)\/(2\/(-3)). List the prime factors of z(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Suppose -s = -6 - b. Suppose 5 = -4*k + 13. Solve 0 = -j - k*j - 3*l + 24, 0 = -j - 2*l + s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300133 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 37503085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (1 + 7)) + -2 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, d: 8, x: 3}. What is prob of picking 2 x, 1 d, and 1 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 2*l - 3*f + 64, -l + 4*f - 2 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 8, -3 in decreasing order.\nAnswer: 10, 8, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = z - 3*p, 2*z - 3*p + 2*p - 19 = 0. Let v(l) = l - 6. Let k be v(z). Suppose 2 = 2*d - k. Is 1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12))\/(4\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13247*x - 415403 + 62438 + 24413 = 969654 for x.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 b, and 1 w when three letters picked without replacement from {c: 1, j: 2, b: 3, w: 4}.\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: 2, k: 3}. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.216274 years in centuries?\nAnswer: 0.00216274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1827 divided by -609?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 5*r + 277, -297 = -5*j + 5*r - 7. What is the remainder when 90 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 24 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1161 and 5082686?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2182709.5 to the nearest 10000.\nAnswer: -2180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 1) + 1 + 1 - (-632 - -626).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 120, 387, 906, 1761, 3036?\nAnswer: 4815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95780166 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 78\/676*(-20)\/15\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 - 4*k. Let y(b) = b**3 + 15*b**2 + 13*b - 12. Let u be y(-14). Let f(z) = 8*z - z + 3*z**u + 2*z**2. What is 4*f(o) + 7*j(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/579 and -5\/4053.\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 d when four letters picked without replacement from {d: 12, a: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000041069 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -606, -1169, -1730, -2289?\nAnswer: -2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2026.\nAnswer: 3\/2026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 14*c**2 - 33*c + 6. Let a be n(11). Solve -3*s - 5*j - 28 = 0, s - 2*s = j + a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r + 75. Let n be y(9). Which is the biggest value? (a) n (b) -5 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-1)*8\/(-20). Let b be (2 + j + -3)*1. Is 4389\/11 - (b + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v + 62 - 83. Let l be 38 - 5 - (0\/v + 4). What is the greatest common divisor of l and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.05, 0.0173, 1, -1.02.\nAnswer: -1.02, 0.0173, 0.05, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upy when three letters picked without replacement from {p: 1, u: 1, m: 1, b: 1, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k\/k**(2\/15))**33 assuming k is positive.\nAnswer: k**(-1012\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (157 - 157 + 14*i)*(0 + 1 + 0)*(5*i - i - 2*i) as j*i + p*i**2 + z and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - (-3 - -9)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11890.21682 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 3. Let a(x) = 1426 + x - 3*x - 1428. Calculate 7*a(k) - 5*m(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 10:04 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0238136225 to five dps.\nAnswer: 0.02381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 3:12 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138503 - 138504. Let i(v) be the first derivative of -3*v**2 + v - 2. Give i(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 2*x**2 + 4*x - 3. Let n be -3 + 2 + (1 - 2). Let h be (n + -3)*(-6)\/10. Let m be (15\/(-10))\/(h\/(-6)). Calculate v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*5\/(-7 + -3). Let n(v) = -6 - 10 - 14 + a + 119*v. Is n(27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68) - sqrt(68))\/sqrt(4) - sqrt(136)\/(sqrt(8)*3).\nAnswer: -10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11157 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -602944 less than -602942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/14 - 15\/((-735)\/14). Solve s = 3*f + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18998474 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -521 + 525 + -1 + 1 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 30. Let u(r) = 39*r**2 - 6*r - 13. Is u(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 4. Let n be f(8). Suppose -5*z + 0*d + 1297 = 3*d, -d = -n*z + 1024. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*q + 198*q = -671853. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-939)\/21 - (2 + (5 - (-94)\/(-14))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 16) to base 8.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12902454.44742 take away 0.5?\nAnswer: 12902453.94742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33033 or 1?\nAnswer: -33033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(5) + 5 + -4.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*b - 368 - 232, -8 = 2*b. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) 86 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 10*l**2 + 7*l + 22. Let y be j(9). Solve -y*s + b - 13 = 0, -5*b + 14 = -s - 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 + 3. Let f be o(0). Let u(w) be the second derivative of 0*w**4 + 2\/5*w**2 + 3*w + 0 - 1\/5*w**f + 1\/50*w**5. Factor u(c).\nAnswer: 2*(c - 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - -3 - (12 - 9). Let c(p) be the first derivative of 3 - 6*p**7 - n*p**3 + 2*p**3 + 2*p**7 + 4*p**3. What is the third derivative of c(z) wrt z?\nAnswer: -3360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2835138 is divided by 567020.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 + -64. Let b be (x - -4)*1\/(-2). Factor b*a - 1 + 4*a**2 - 1 + 10 + 7*a.\nAnswer: 4*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -24 (b) 2 (c) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11 - 0.91. Let a = 104801.800005 - 104801. Let x = a + c. What is x rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-9)*u*u*u*u)\/(u*u**(-4\/3)) assuming u is positive.\nAnswer: u**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4496 and 954838?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r - 52. Let n = 73 - r. What is the highest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 491, 415, 337, 257, 175, 91, 5?\n\"Answer: -m**2 - 73*m + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 310 + 5?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 + 42903218*h**3 - 306780990523770*h**2 + 731215865504187147878*h + 1462432958132679616612.\nAnswer: -2*(h - 7150537)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34\/3 in -1.7, 3, 1\/6, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Suppose y*z - 20 = -4*p - 2*z, -2*z + 13 = 3*p. Suppose -n + p = 1. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 5*b + b)*(46 + 27 + 125) to the form s + g*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 8) to base 16.\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2514000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s + 0*s)*(-4 + 4 - s) + (s**2 - 4*s**2 + 2*s**2)*(5 - 4 + 1) - 2*s**2 + 6*s**2 - s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -22. Suppose -2*t + t + 4*h = -4, 5*h + 5 = 0. Suppose -68*l + 66*l - 10 = t. What is the smallest value in l, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, 17, 72, 181, 362, 633?\n\"Answer: 3*t**3 - 2*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by -32.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 15. Calculate the common denominator of 75\/4 and (462\/(-32))\/(9\/4 - w).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1356095?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -12. Suppose -m + 7 + d = 0. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 36*n - 9787. Calculate i(121).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(152)\/sqrt(128) - (-1*sqrt(2736))**2) + (-6*sqrt(19)*1 - (sqrt(19) + (sqrt(19) + -2*sqrt(19))**2 + 3))).\nAnswer: -16548 - 81*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (1 - 2)\/((-6)\/66)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 620.23 + -623. Let j = -2.23 + p. Which is the second biggest value? (a) -2 (b) 1\/7 (c) j (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -274, -281, -292, -307, -326?\n\"Answer: -2*c**2 - c - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -2, -0.5, -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/9153 and -74\/9009.\nAnswer: 9162153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5214 - 23305*u**2 - 5214 in the form y*u + f + b*u**2 and give b.\nAnswer: -23305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*q + 2*q - 76 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17793 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10745902 divided by 5372951?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/68*-4*6\/((-30)\/5)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = -39*c + 54. Suppose 20 - 587 = -c*h. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*f + 2 + (2 + 0 + 0)*(1 - 2*f - 1))*(39 - 26 + 22) as r + u*f and give u.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**5 - 97*l**3 + 335*l?\nAnswer: -20*l**3 - 582*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -0.00315?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) 16.2 (c) -1\/8 (d) 98 (e) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 + 4)\/(2\/33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231753066675 + 17.\nAnswer: 231753066692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 32. Let s(p) = -8*p - 1. Let h be s(-7). Suppose n - 5*d + 14 = 3*n, -3*n + d = -h. Calculate the remainder when i is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 262615, 261651, 260687?\n\"Answer: -964*u + 263579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5*q + 3 = 32, -4*y + 3*q = 43 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0 - (-56)\/8. Suppose -5*q = -15 + m. Solve q*t = -5*x - 8, 3*t - 3*x - 8 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/4 (b) 9\/8 (c) -0.5 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 2. Let q = -24 + 46. What is the lowest common multiple of t and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 47535*p + 47328. Calculate h(-1).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 + 1 + 1 + 2 + 2099 + -2088?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89.60291 and -0.3?\nAnswer: 26.880873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and 0.1.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/15 + 117*x**2. Let s(y) = -3*y**2. Suppose -3*u = -n + 5*n - 37, -4*n = -5*u + 19. Determine u*s(o) + 6*c(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 183*y**2 + 300*y + 618. Determine n(-2).\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151015 is divided by 222?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 23*j + 5. Let w be c(4). Let t = w + -9. Suppose 0*x = -4*x + t. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1 = 4*y, -3*j - 10*y + 13*y - 36 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/20, -3\/7, 3\/2, 0.07 in decreasing order.\nAnswer: 3\/2, 0.07, 1\/20, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 321?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1908*n**2 + 4440 wrt n.\nAnswer: 3816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12 and 17\/17718?\nAnswer: 35436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 56 in increasing order.\nAnswer: 2, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 355 - 378. Let x = -108\/5 - c. What is the third biggest value in 2, -4\/3, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 2. Let q = x + -15. Which is the closest to -0.1? (a) 0.3 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + 0.48. What is the smallest value in -0.5, -7, 1, n?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -44*f**2. Let y(d) = -17*d**2 - 32*d. What is y(i(a))?\nAnswer: -32912*a**4 + 1408*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3829 times -1.493?\nAnswer: -0.5716697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -57. Let i = u + -35.9927. Round i to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -49214, 48 in ascending order.\nAnswer: -49214, -2, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.0323, 1577.\nAnswer: -2, -0.0323, 1577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 46*h + 2. Let n(v) = -153 + 75 + 32*v - 3*v + 78. Determine z(n(o)).\nAnswer: 1334*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/5*45\/(-18). Solve 0 = 4*d - 4*y + 8, 3*d - l*y + 10 = -3*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 2. Let z be u(2). Let v = 70 + -66. Suppose -z*c + 110 = 4*n - 2*n, v*n - c = 184. What are the prime factors of n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*-1 - sqrt(1100))\/(1*sqrt(64) - sqrt(4)) - 1*(4 + sqrt(11) + sqrt(11)*-2)**2*2)*-1.\nAnswer: -38*sqrt(11)\/3 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 541 times 0.16\nAnswer: 86.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, g: 2, s: 2, f: 6, h: 1}. What is prob of picking 2 f?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 38 - 8 + 4*a - 4*a.\nAnswer: 2*a + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 - 4)*(-8*j + j + j)*(-69 + 9*j**3 + 69) to the form p*j**4 + f + k*j**3 + m*j**2 + v*j and give p.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14007559*f**3 - 9090602 wrt f.\nAnswer: -42022677*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4050 and 2025?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + d**2 - d - 1. Let v = 18 - 19. Let j(i) = 3*i**3 + 6*i**2 - 6*i - 5. Let t(l) = v*j(l) + 4*q(l). Calculate t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(27)*1 - (sqrt(972) - (sqrt(972) + 1*sqrt(972))))*-6)\/(-3*(sqrt(1089)*-1 + sqrt(1089) - sqrt(1089)) + sqrt(1089) + 2*sqrt(1089)*1).\nAnswer: -2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 23*p + 14423 = d, 3*d + p - 43289 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from saaaassaaas.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvvsvuvvuvdvvucdvvv. Give prob of picking 1 c, 1 d, and 2 v.\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384029 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, -381, -0.45, 1?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 - 268*z**2 + 88*z + 76. What is g(89)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) - sqrt(99)*-1) + 3.\nAnswer: 3 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09 + 172.91. Let x = d + -172.9822. Let l = 0.024 - x. Round l to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 3424931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 378735877 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -4)*(-13)\/((-6292)\/44).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 - 12*d - 13. Calculate j(10).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 29*f - 24*f + 6, -31*f = -2*j + 29 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715218773 is divided by 569.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 31. Let w be l(-7). Let t be w\/9 + 3 + 3. Put t, -2, 5, -4 in increasing order.\nAnswer: -4, -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 458 and -124 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(40\/12)*(1625\/78)\/(-25)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*z - 1, t + 4*z = 6*z + 1. Suppose -t*h = h - 8. Let g(n) = 14*n**2 + 4*n - 4. What are the prime factors of g(h)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2604 and 11\/15624.\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.2489 to 1 decimal place.\nAnswer: 29.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 7*d - 3. Let y be c(8). Suppose 0 = 3*x - 15, a - y*x = -0*a - 28. Let f(o) = -6*o - 6. What is the remainder when f(a) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/3, -2\/5, -5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/13548280 and -97\/1354828.\nAnswer: 13548280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 - v + 1. What is the remainder when m(4) is divided by 46\/3 - (-12)\/18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20278 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*z + 4*l + 35, -3*l - 30 = -5*z. Let b(r) = r**2 + r**z + 5*r**2 - 4 + 7 + 5*r. Is 9 a factor of b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 24 = -5*j, -r - r + 3*j = 16. Let l(h) = -7 + 6*h**2 - 3 + h - 10*h**2 - 7. Let b(w) = w**2 + 4. What is r*l(a) - 9*b(a)?\nAnswer: -a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5003526568 to the nearest integer?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34\/9, 1, 7974 in descending order.\nAnswer: 7974, 34\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -269540 and 0.006.\nAnswer: -269539.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 6*o**2 + 3*o - 267. Let b be h(9). Find v such that -12\/5 + 42\/5*v**b + 18\/5*v + 72\/5*v**2 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797.46 minutes to hours.\nAnswer: 13.291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -396*d**5*t**3 + 3*d**2*t**3*y + 3*d*t**2 - d*t*y + 2*d*t + t**3 wrt d?\nAnswer: -7920*d**3*t**3 + 6*t**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8207374.2, -2\/11, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8 - 189\/(-3)) + 8 + (-5 - 0) is divided by 1*(0 - -1) + 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x - 2851*x - 23850 = 2813*x - 919*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w = -19*w - 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rttjrtrpssttrptrg. What is prob of picking 2 g and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 100\/(-225) + 1420\/360. Determine v so that -93\/2*v + 13 + x*v**2 = 0.\nAnswer: 2\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145 + 10*h**3 - h**3 + 160)*(2*h + 0 + 0).\nAnswer: 18*h**4 + 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 100\/21 + 104\/21*i**2 - 2\/21*i**3 - 202\/21*i = 0.\nAnswer: 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*a, -5*n = 4*a - 20 - 7. Solve -10 = n*z - z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/(15\/30). Let n be 2\/j - (-1360)\/12. Suppose -2*t + 14 + n = 0. What is the greatest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 156991527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 91188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.76 + 4.8. Let a = 0.46 + w. Let x = 1.8 - 1.7. What is the fourth biggest value in a, x, -0.3, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9651 + 29724. What are the prime factors of h?\nAnswer: 3, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002158 rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 4) + (211 - 7). Suppose -3*w = 5*j - i, 7*j + 95 = w + 3*j. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 26233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 414, 1207, 2894, 5775, 10150, 16319, 24582, 35239?\n\"Answer: 50*h**3 + 147*h**2 + 2*h + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14135 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14518113.\nAnswer: 3, 149, 32479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 1 - 11 - 16*b**3 to the form z + x*b**2 + i*b + l*b**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7*n - 4)*(0*n**2 + 0*n**2 + n**2) + 3*n - 3*n - 3*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - 20*n + 1348. What is the hundreds digit of k(62)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1 = -9. Let o(d) = 3*d**2 + d**2 - 3*d**l + 3*d**2. Let b(p) = -2*p**2. What is o(b(h))?\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 33*i**2 - 24*i - 216. Is 33 a factor of s(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 188*v + 59*v - 46*v + (v - v - 2*v)*(2 - 8 - 10).\nAnswer: 233*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 8. Let y(l) = 9*l - 597. Let m(q) = -6*q + 424. Let j(s) = 7*m(s) + 5*y(s). Determine 5*c(h) + 3*j(h).\nAnswer: 4*h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 7*i**2 - 4*i + 41. Let p be w(-11). Let m = -554 + p. Calculate the greatest common factor of 45 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-790)\/474 - ((-1)\/(-1))\/(-1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 9) in base 6?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3431 - 1.9431. What is the smallest value in 4\/13, -117, c?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2238.\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, -11, -36, -77, -140, -231, -356, -521?\n\"Answer: -b**3 + b**2 - 11*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.7 + 12. Let c = -5 + i. What is the nearest to 0 in -4\/7, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 + 1.14. Which is the second smallest value? (a) m (b) 17 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/10 - 3*w**4\/2 - 3*w**3 - w**2 + 17*w - 1. What is the lowest common multiple of 12 and k(10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11*h**2 + 10*h - 13. Calculate g(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -9) + -8 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 784784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -26*x**2 - 16*x + 1. Let u(p) = -139*p + 489*p - 351*p. Determine u(z(y)).\nAnswer: 26*y**2 + 16*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876483 is divided by 12889.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h - 27. Let o be j(7). Solve 5*y = -2 - o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1605 - -26?\nAnswer: -1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 1:13 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 673609175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 - 158 = 43*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31100, -61829, -92186, -122171?\n\"Answer: 186*v**2 - 31287*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -879 + 15.\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*a = -12, 45*a = 75*y - 71*y - 213 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-4 - -6 - 2). Suppose 0 = v*l + 4*t - 253, 2*l + l - 5*t = 137. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r - 6. Let f be j(0). Let v(a) = 2*a - 3. Give v(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*y + 87*y + y**4 - 2*y**3 - 4 + 6*y**2 - 101*y to the form z*y + t*y**3 + h*y**2 + d + r*y**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l + 7*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*q - 14813 + 4099 = 0 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8605\/4 - 2168. Let m = -33\/2 - b. Is 13\/4 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - w + 4*w = 18, 2*s - 2*w - 2 = 0. Suppose 2*i - 5*t - 14 = 4, -i + 24 = 5*t. Let c = i + -8. Solve 5*g + s*b + b + c = 0, 2*g - b - 8 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n + 4*d - 1212, 0 = -2*n - 5*d + 594. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269037165 divided by -53807433\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245*o**4 - 560*o**3 - 801635*o**2.\nAnswer: 5880*o - 3360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in 8\/3, 5, -61, -6?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(9\/64) - 0. Let m = -20 - r. Let i = 48 - 287\/6. Which is the third smallest value? (a) m (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 p when four letters picked without replacement from bbbymppzybzpblzyb.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (11 + -14 - (0 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfcmfgmghhgffff. What is prob of picking 2 m and 1 h?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/33, -2\/13, -126?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4*k + 10*c - 11*c + 1, -35*k + 24*k - c + 17 = -6*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 6, 4, -7, 1.\nAnswer: -76, -7, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8846, 0.4, 53, 2\/21 in descending order.\nAnswer: 53, 0.4, 2\/21, -8846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12489121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/5 + 100677*f**3 + 1510149*f**2\/5 + 1510147*f\/5 + 503382\/5.\nAnswer: (f + 1)**3*(f + 503382)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2386*(-6)\/9*((-124)\/(-8) - 5).\nAnswer: 2, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 1800?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7266 (base 8) to base 3\nAnswer: 12011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46526, 46513, 46496, 46475?\n\"Answer: -2*x**2 - 7*x + 46535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-3)\/(-6)*-4. Suppose y*g + 0*h + h = 349, -2*h - 162 = -g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -439830.\nAnswer: 131949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3869 is divided by 81.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -136, -423, -998, -1957, -3396, -5411?\nAnswer: -8098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*n + 0 + (-3 + 2 + 5)*(13*n + 0*n + 0*n).\nAnswer: 49*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 21 - 9*h + 40 to o*h + j and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/14 (b) 2\/5 (c) 0 (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-15))\/((-21)\/(-70)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7920 or -7871?\nAnswer: -7920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 22*k**2 - 21*k + 21. Let r be b(23). Are r and 68 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -6, 3\/8, 2\/5, -144, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -105. Suppose -4*m + 20 = x*c, 2*m + 4*c + 0 = 2. Suppose m*a + 132 = 20*a. Calculate the highest common factor of a and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 232\/3 - 78. Let v = -0.1 - 0.9. Which is the nearest to z? (a) v (b) -3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*2*sqrt(2299))**2 + -3.\nAnswer: 229901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 66. Suppose 6*y - v*y - 184 = 0. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -261, -267, -273, -279, -285?\n\"Answer: -6*d - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.71469872712 - -3.650657681. Let r = 76.06404147612 + x. Let j = -76 + r. Round j to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-848)\/4452)\/(10\/2))\/((-2)\/(-10))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*i + 15, 7 = -3*i - 2. Is w at most as big as 9\/299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 518.\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 35*x**2 + 1. Let g(a) = -34*a**2 - 1. Let p(v) = 5*b(v) + 4*g(v). Let s be p(-1). What is the greatest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2855.270094 to 1 dp.\nAnswer: 2855.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 15*y - 17.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 402 and 35402733?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 times 1.7\nAnswer: 0.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 53\/3, -1\/2, -79.1.\nAnswer: -79.1, -1\/2, 0.1, 53\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose -4*q = -2*q - r. Is q greater than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.222 + -0.07?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s**2 - 7. Let d(j) = -3*j**2 - 4*j. Let z(l) = 8*l**2 + 11*l. Let c(g) = -11*d(g) - 4*z(g). What is f(c(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5 - 3*f**2 - f**3 - 3 - 5 - 10*f + 4*f**2. Is t(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36349, -145428, -327247, -581824, -909177, -1309324?\n\"Answer: -3*l**3 - 36352*l**2 - 2*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19864.5 - 19865. Let h = -15 + 10. Which is the nearest to 1? (a) m (b) h (c) -2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*-10291*(27 - 232\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.201 + 0.061. Let k = -0.322 + q. Suppose i - z + 5*z + 5 = 0, -3*z = -4*i + 18. Which is the second smallest value? (a) -2\/9 (b) -2 (c) k (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74715 by 8.\nAnswer: 74715\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*a**6 + 123*a + 9*a**5 - 63*a - 44*a - 2*a**2 + a**2 wrt a?\nAnswer: -3960*a**3 + 540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8 - (2 - 6)) + 156.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1108\/168 + (-289756)\/(-16248) + 6*-3*1.\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 7. Let l be i(10). Suppose -4*v + 4*w + 32 = 0, v - 15 = -5*w - l. Suppose -3*p - 12 = -3. Put v, p, -2 in descending order.\nAnswer: v, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 105, 2\/11027, -1\/6?\nAnswer: 2\/11027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206414 divided by -17.\nAnswer: 12142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 571302849?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117523 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 m when three letters picked without replacement from emmemmmemeeemmemkm.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = 2, -q - 2*j = -8. Let o(m) = -18 + 89*m - 89 - 94*m. Calculate the remainder when q is divided by o(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108693920 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12723948.\nAnswer: 2, 3, 353443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -95 - -52134?\nAnswer: 5204a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c. Let a(v) be the second derivative of 18*v**3 + v**2 + 2*v + 199. What is a(k(i))?\nAnswer: -324*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 12060.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 989737.0054 - 979296.3. Let q = 10438 - m. Let g = q - -2.7. What is g rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.3 - -8. Let w = -0.2 - q. Let p = -0.6 + w. Which is the nearest to -2\/7? (a) 1 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -117777, -471098, -1059967, -1884384?\n\"Answer: -117774*w**2 + w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 32 = 9*a. Factor -5\/6*u**2 + 1\/2*u**3 - 1\/6*u**5 + 1\/3*u + 1\/6*u**4 + a.\nAnswer: -u*(u - 1)**3*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(364) - (sqrt(364) - -2*sqrt(364)*-1 - sqrt(364)) - (sqrt(364) - sqrt(364)*2*6 - sqrt(364)))\/(sqrt(70)\/((sqrt(210)\/sqrt(7))\/sqrt(3))))**2*6.\nAnswer: 70200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 4*j - 4*j + 5*j**2 - 10 + 10 + (j - j + j)*(-2*j + 3*j + j) + (-2*j - 3*j + 6*j)*(2*j - 4*j - j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 33862414.8 to the nearest one hundred thousand.\nAnswer: 33900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 - 213 + 1041 - 214 - 204 - d - 213.\nAnswer: -d - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -5*b**4\/12 + 5*b**3\/3 + b. What is the second derivative of q(f) wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3752953 is divided by 1876469?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1045255 (base 6) to base 8.\nAnswer: 147443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*69\/(-1242)*(-12)\/(-58)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b - -10?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/20 - d**4\/24 - 17*d**3\/6 + 45*d**2. Let b be l(-3). Solve 11 - b = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 2. Let g(j) be the first derivative of -j**3\/3 + 3*j**2\/2 + 2*j - 9. Let f(n) be the first derivative of g(n). Calculate -3*f(c) + 4*h(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - ((-27 - -19) + (24 - 3) - (6 + 2)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -282 bigger than -0.524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 20*h = 0. Solve h*o - 3 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 + 4. Let q(p) = p**3 - 4*p**2 + 2*p - 5. Let v be q(4). Let d = -686205 - -686205.3. What is the second biggest value in d, 0, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.69099 to 2 decimal places.\nAnswer: -33.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*l + 184 = 52, -4*k - 127 = l. Let p = k - -133\/4. Let x be (3\/39)\/(1\/2). What is the third biggest value in -0.3, x, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-6) - 1) + (-60)\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*r - 25. Calculate the remainder when 44 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 298 = 4*s, 2*x - 5*x + 444 = -5*s. Suppose 430*f + 1106 - 732 = 5964. Calculate the highest common divisor of x and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 35. Let b be 3\/(-9)*-3 + l. Suppose 0 = -3*k - 5*v + 26, 4*v + b*v + 44 = 3*k. Calculate the smallest common multiple of 6 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 26.5551 millimeters?\nAnswer: 0.0000265551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180111331.9866 + 179791823. Let p = t - -319383. Let k = 126 + p. Round k to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 8:49 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 + 21*r**2 - 14*r**2 - 3*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 692014 = 692470 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -q - 0*q. Suppose 3*f + 280 = -2*f. Let b be -2 - (f\/30)\/1. What is the nearest to -1\/4 in q, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/1120 and -101\/100.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -105, -1, 5702 in descending order.\nAnswer: 5702, 6, -1, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w - 1. Suppose 14 = 4*n + 2. Let z(x) = x**3 - 5*x**2 + 6*x. What is the remainder when g(n) is divided by z(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 69. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*q - 25 - 19 + 44)*(-3 + 3 - 2).\nAnswer: -196*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.023\nAnswer: 0.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 4.2681 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 2. Let w = z + 12. Suppose 0 = w*v - 5*v - 3*p - 12, 0 = 3*v + 5*p + 1. Sort -3, 2, v in descending order.\nAnswer: v, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 5*f = -5, 259*f - 257*f = b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d + 4*r, 0 = -3*d - 5*r. Suppose 20*v = -168 + 68. Which is the biggest value? (a) d (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7*v)\/(v*v**3\/v)*v*v\/(v*v**(-2\/13))*v*v**(-1\/3)*v assuming v is positive.\nAnswer: v**(305\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Let r = -0.2 - t. Let j be (-1)\/(-6)*15\/(-10). What is the nearest to 0 in -3, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 1. Let h = 1 + 24. Let a be (-20)\/h*15\/(-6). Let r be g(a). Solve -f - r = 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -3, -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 18460 - 8042 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.381 - 1.391. Let y = 0 + 0.2. What is the closest to 0 in t, -1, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130861*s**3 + 131061*s**3 - 262064*s**3.\nAnswer: -142*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*g - 5 = -55*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*c**2 + 569*c**3 + 78*c**2 - 2 - 566*c**3 + 5*c as m + d*c + r*c**3 + v*c**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9216 + 18380 + 0*b - 9164 + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 7. Suppose 0 = -2*m - 3*j + 7, -j - q = m + 2*j. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -660a (base 13) to base 16\nAnswer: -377e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + 0 + 418 + -440 + 42 + 0?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8240 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 6488341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/18 and 121\/966?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -738581 + -1.0040362.\nAnswer: -738582.0040362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 207*d - 205*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223699 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7411 + -7404 - (1 - (2 + 67 + 1)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 = -2*n. Let j(d) = 7*d - 2. Let v(h) = -20*h + 7. Let p(u) = -11*j(u) - 4*v(u). Give p(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 + -0.03. Let o = 0.1 + s. Let z = 41\/21 + -16\/7. Which is the nearest to z? (a) -1 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29198 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11273 is divided by 330?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/7 - 21972*p\/7 + 54154440\/7.\nAnswer: -4*(p - 1845)*(p + 7338)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-4)*(-137)\/1233\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*(c\/(c*c\/(c**1\/c)))\/c)\/c*c)**33)**37\/((c*(c\/c**1)\/c)**(2\/25))**4 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Suppose 0 = -q - 5, -3*q = 2*w - y*q - 16. Suppose 0 = 5*m, -a + w*m - 12500 = 4*a. Round a to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d + 6*d - 21*d + 2*d**2 + 5*d.\nAnswer: 2*d**2 - 36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/((s\/s**(3\/8))\/s)*s*s**(-6\/7)*(s*s*s**(-1))**28 assuming s is positive.\nAnswer: s**(1709\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -235, -8, 4\/55?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + c**2 - 55*c**5 + 48*c**5 + 0*c**2)*(12 - 7 + 1).\nAnswer: -42*c**5 + 6*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {n: 3, e: 5, g: 4, m: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37231)\/3379 - (-150)\/(-225)*66\/(-4)?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101.12 - 96. Let g = 0.12 - h. Which is the second smallest value? (a) -2 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118\/(-61596)*-29*27\/1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*v = -138*v - 204 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -357 + 207. Let z = 146 + m. Let p = 50 - 148\/3. Sort z, p, 5.\nAnswer: z, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(200)\/(sqrt(20)\/sqrt(4)))\/(((-2*sqrt(72) - sqrt(72))*-3)\/sqrt(9)).\nAnswer: -5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p**2 + 5*p - 3. Let w be s(2). Let k = w - -21. Is 16 a factor of (k\/10)\/(24\/(-1520))*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03174375 and 1?\nAnswer: -0.03174375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58575 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 z when three letters picked without replacement from uzzuzzzzuauauaa.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/24187515 and -157\/290250180?\nAnswer: 290250180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * 10.97.\nAnswer: -1.3164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 245 - 125. Let h be 52\/x + (-1)\/3. Let l = 3\/10 - h. What is the nearest to l in 2\/7, -1, -3\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**3 - 34*n**2 + 35*n - 76. Calculate b(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 16. Suppose -37 = c*i - 87. Let q be ((-1)\/2)\/((-5)\/i). Solve -8*u + 4*m + 12 = -4*u, -3*u = m - q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123445 - 79134. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utut when four letters picked without replacement from uuutuuutuxux?\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 + 6*q**2 - 1. Suppose -5*z + 5*r + 20 = 0, -2*z - 4*r + 0*r = -8. Let v(u) = -12*u**2 + 13 + 5*u**3 - u**2 - 11. Determine z*v(y) + 9*s(y).\nAnswer: 2*y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6346*g = 6348*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/8850 and -115\/84.\nAnswer: 123900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = k + j + 7, -3*k + j = -11. Find the common denominator of (282\/(-24))\/(k\/(-2)) and 99\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -319, -2, -12 in increasing order.\nAnswer: -319, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2112.051*16\nAnswer: 33792.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**(2\/5))\/f)**(20\/3)*(f**2*f*f)**(-48))**(-3\/4) assuming f is positive.\nAnswer: f**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)*5)\/(sqrt(6) + -3*(sqrt(6) + sqrt(6) + sqrt(12)\/sqrt(2))).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3458862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 990 (base 12) to base 15\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 24. Let t be o(-16). Suppose -2*s + 4*b = -21 + 5, -3*s + 3*b + 18 = 0. Suppose -207 = -s*i - 79. What is the greatest common factor of i and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -51*s**2 - 358*s - 356. Determine f(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -94. Let j = -625 + 620. What is the fourth biggest value in -0.1, 1, j, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2574715 - 49920 = 0. Suppose 0 = 2*p - 3675073 - j. Suppose 2*g - 5*g + p = 0. Round g to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n = -18. Is (-3434)\/n + 6\/27 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13059, 12452, 11845, 11238, 10631?\n\"Answer: -607*h + 13666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by 69899.\nAnswer: 66\/69899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 645300901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 9:48 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) + (-175)\/(-60). Let x = -7\/6 + w. Which is the third biggest value? (a) -18 (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30779 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -760 + 765. Suppose 12445 = -7*f + 5*f + a*o, 0 = -5*f - 2*o - 31098. Round f to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 548*m**6 - 874*m**2 wrt m.\nAnswer: 65760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*2 - sqrt(104))*5 - sqrt(104))\/(sqrt(288)*6 + sqrt(8)) + 3.\nAnswer: 4*sqrt(13)\/37 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4472315, 8944625, 13416935, 17889245, 22361555?\n\"Answer: 4472310*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 874\/22 + (-54)\/(-198). Solve 5*q - d - 17 = 0, -n*d - 13 = -q - 43*d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 8*r + 8995. Let k(j) = -2*j - 10. Determine a(o) - 4*k(o).\nAnswer: 2*o**2 + 9035","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c - 14?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 - -88. Suppose 0 = -z - 0*z, h = 3*a + z - 192. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1*5)\/(48\/(-32)). Suppose 7*l = 17 + w. Let d = l - 0. Solve d*p + p + 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 21 + 23 = 0. Let m = l - 18. Solve -m*y = y - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 47145740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -145, -628, -1429, -2548?\n\"Answer: -159*x**2 - 6*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l = -12*l - 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30577*n**3*q + 174*n*q - 16088*q + 1710 wrt n?\nAnswer: 91731*n**2*q + 174*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1631\/4 + 407. What is the second biggest value in -3, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 r, and 1 x when three letters picked without replacement from kkdezxerkez?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 12*h - 8. Suppose -4*q = -26 - 10. Suppose 5*p = q - 74. Let u be g(p). Solve 3 = 4*t - u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = -6*f. Let s(j) = j + 8. Let p be s(-5). Determine k, given that -k**f + 3*k**2 - k + 4*k**3 - 5*k**p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4. Suppose 4*u - 8 = 4*f, -f = -u - 4*f + 10. Suppose 3\/2*r**2 - 3*r**3 + y + 0*r + 3\/2*r**u = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335571508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6744.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1206840 divided by 12\nAnswer: 100570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q + 14. Let f(h) = 3*h + 14. Let c(g) = 6*f(g) - 4*y(g). Let m be c(-15). What is the units digit of (-97)\/m - (-15)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -4*g, 4*h - 10 = 2*g. Suppose -4*f + h*w = -2*w + 8, 4*w - 6 = 3*f. Sort -1, f, -5, 1.\nAnswer: -5, f, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-10))\/u**(-4\/21)*u\/u**(3\/26)*u\/(u\/(u\/(u\/(u\/(u*u**(27\/5))))))*u assuming u is positive.\nAnswer: u**(-33647\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + r - 1. Let p be z(0). Suppose f + 1 = 3*w, 0*f - 2 = 2*f - 2*w. Is f smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7580?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.6. Let v = 9.5 - 8. Let c = -0.5 + v. What is the biggest value in c, -1\/7, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323458650 by 3478050.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**13\/p)))\/p**(-2\/13))**9 assuming p is positive.\nAnswer: p**(1422\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 13131232?\nAnswer: -13131211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**5 - 35*o**4 - 280*o**3 - 240*o**2 = 0.\nAnswer: -4, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 3*n - 5. Let h be s(-5). Let l(a) = a**2 - a. Let y(m) be the second derivative of m**4\/2 - 7*m**3\/6 - 3*m**2\/2 - 5*m. Give h*l(w) - y(w).\nAnswer: -w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94270.279995 + 94270. Let l = -918.72 + 919. Let j = l + v. Round j to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/3)\/((-210)\/168)*9\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - b**2 - 2 + b + 5*b. Suppose 3*x + 3*m = 24, m - 11 = -2*x + 5. List the prime factors of n(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 453062*l*z**3 - 143*l*z**2 + 1127*z wrt z?\nAnswer: 2718372*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 22003000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 7*k**2 - 11. Let d be (-4)\/6 + (-210)\/(-45). Let v be (1\/2)\/(d\/48). What is the tens digit of j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 3. Calculate the remainder when j(-4) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1212614 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -327, -494, -663, -834, -1007?\nAnswer: -1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 150, 56, -38, -132, -226?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20278 divided by 1169?\nAnswer: -20278\/1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 6*h - 5. Let g be f(-4). Let y = -0.28 - 0.02. Let k = 162 + -147. What is the biggest value in k, g, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -547 (base 9) to base 4.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1700812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/7 (b) -3\/805 (c) 1.2 (d) -1 (e) 1\/9 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -792703730 rounded to the nearest one hundred thousand?\nAnswer: -792700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 48 - 9 = -9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q. Let x be (-30)\/(-7) + (-6)\/21. Let r = 9 - x. Let c(m) = m + 5*m - r*m. Give c(y(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7. Solve -5*v - 7 - 8 = c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddcdc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -6. Let y(a) be the third derivative of a**4\/12 - a**3\/6 - 18*a**2. Give y(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1224 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -957199 divided by 7537?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2162)\/1081*(54\/(-4))\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-184)\/(-114816)*-8)\/((-12)\/13)?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -12*o**3 + o**2 + o. Suppose 10 = 21*s + 31. Give f(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/3 - 7123*v**2\/3 - 304522*v\/3 - 193520 = 0 for v.\nAnswer: -7080, -41, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0 - 1\/4*t**4 + 0*t + 1\/60*t**5 - 7\/6*t**3 - t**2. Let z be a(7). Sort 2, z, -2.\nAnswer: -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2710923?\nAnswer: 2710922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 51 + 39 = 4*b, -22*n + 90 = -b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43\/4 of a meter?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, 10, 30, 58?\n\"Answer: 4*q**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5, 2, -42294, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h. Let x be ((-126)\/(-15))\/((-99)\/(-330)). Let g(o) be the first derivative of -x + 0*o + 7\/2*o**2. What is g(u(i))?\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/4)\/((-5)\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*x**3 - 70*x**3 + 2 + 3*x + 6*x**2 + 0*x**2 + 3*x to the form o*x**3 + m + q*x**2 + p*x and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnnhnnnhhhnhhhn. What is prob of picking 1 h and 1 n?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**3 - 8*a**3 + 8*a**3)*(0 + 2 + 0) - 4*a**3 + 6*a**3 - 4*a**3.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) + 69\/21. Suppose 8*p = w*p. Suppose p = z - 2*z. Put -5, z, 5 in decreasing order.\nAnswer: 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 30*s. Let z(u) be the second derivative of 23*u**3\/6 - 4*u - 68. What is a(z(c))?\nAnswer: 690*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2508 is divided by 61.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 4. Let w be t(9). Let m be (24\/(-30))\/(2\/w). Find the second derivative of -2*c**2 + 2*c**2 - c - m*c**3 - 16*c**3 wrt c.\nAnswer: -108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-16 + 18))*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.26 - 0.74. Let n = x - -6. Let r = n - -34. What is the second smallest value in r, -4\/3, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y + 8 = 4*v, -4*v = -3*y - 8. What is the greatest common factor of v and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*w - 0*w. Let g = w + 24. Let r be (28\/8 - 4)*g. Let n(z) = -z + 1. Give n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725853094 to the power of 1\/2, to the nearest integer?\nAnswer: 26942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229*s**3 + 242*s**3 - 192*s**3)*(1 - 1 + 2).\nAnswer: -358*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 12 + (-2 - 0). Let q = j + 3. Calculate the remainder when 30 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/30 + l**4\/3 - 83*l**3\/6 + 63*l**2. Is f(-15) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300639113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 773.73129 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5853759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6468)\/(-441))\/(22\/36)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000033753 rounded to six decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*z**2 - 21*z + 19*z + 117 - z**2 wrt z.\nAnswer: 4*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7905, -49, -3 in ascending order.\nAnswer: -49, -3, 1, 7905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6 + 3*y - 8 - 1. Let f be n(6). Suppose 5*g - f = -5*a, -g + 4*a + 7 = 19. Solve 2*m = -g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -52 + 58. Let y be (-2586)\/(-12)*z*-1*1. Let d = y - 281. Is 30 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = 18*k + 193*k - 422 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2099, 2101, 2123, 2165, 2227, 2309?\nAnswer: 2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11 - 149*u + 79*u + 69*u. Let d be z(6). Solve -5*g - 2 = -0*g - l, -2*g - l - d = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = -10 - 8 - 0, 0*z - 29*p + 6 - 129 = -5*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -202\/3. Let x = -244 + 104. Let l = x - -140. Does o = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -2*p**3\/15 - 6*p**2\/5 - 16*p\/5 + 264. Factor y(j).\nAnswer: -2*(j + 2)*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376 - 56*t - 324 + 698.\nAnswer: -56*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6)*39\/26. Put -4, 0, j in ascending order.\nAnswer: -4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -4, -2, 4, 5 in descending order.\nAnswer: 55, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (45\/5)\/((1 - 3)\/(-24)). What is the highest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/5))**(-37)\/(x**(2\/19)*x**(-2)))**23 assuming x is positive.\nAnswer: x**(-60536\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 3*z - 803. List the prime factors of z.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s + z + 66 - 214, -s - s - 22*z + 27*z = 4 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28328981, 56657963, 84986945, 113315927?\n\"Answer: 28328982*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfff when four letters picked without replacement from {m: 3, f: 4, s: 5}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 0*i**2 + 22*i**2 + 3*i**2.\nAnswer: 25*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-6)*(-2 + 1)*48. Let b = 87 + a. Solve 0 = -9*c + 11 + b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/7)*w\/(w**(-11)\/w))**35\/((w*((w\/w**(3\/5))\/w)\/w*w**(3\/5))\/(w*(w\/((w*w**(4\/7))\/w)*w)\/w*w**(-7))) assuming w is positive.\nAnswer: w**(3006\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 6*w**2 + 4*w - 4. Let h be r(-5). Solve -6 = j - h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from fffr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1794 divided by -220?\nAnswer: 897\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 2. Let v be t(-2). Suppose v*a = -4*a + 12. Suppose -8 = 4*i - 2*u, i - a*u - 2*u = -20. Solve 2*z - 2*b = -0*b - 4, i = -2*z + 5*b - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -5)\/(9\/6). Let p = -1 + 6. Suppose 0*b = 4*b. Put a, p, b in increasing order.\nAnswer: a, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010001101000 + -11101011001?\nAnswer: -100101111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 26*n - 1662. Let y be z(98). Solve -898 = 3*q - y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.022 - -0.078. What is the third biggest value in -3, -5, m, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -6*f**3 + 4*f**2 + 10*f + 3*f**3 - 6*f = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - s. Let c(r) = 9*r**2 + 4*r. What is c(z) + 4*u(z)?\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*p - 165 = -0*p, -43 = -v - 2*p. Suppose -4*d + 12 = 4. Let y = v + d. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2338 - 2318. What is the remainder when 1057 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1645326, 3290658, 4935994, 6581334, 8226678, 9872026, 11517378?\nAnswer: 13162734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8995 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 84?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**4\/24 - 860*l**2 - 1. Let h(f) = -15*f**2 + 60. Determine h(x(q)).\nAnswer: -15*q**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -16*x - 2. Calculate r(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 4 = 5*l. Let h be (-2)\/l*(0 + 4). Suppose -4*x + 25 = 5*r - 8, h*r - 14 = 3*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9975.1 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4923200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20514239 is divided by 4889?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -98 - -1700a8?\nAnswer: 170010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from hlpgn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2468 and -28093.\nAnswer: -69333524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*o + 237*o - 1932 = 0. Is o at most 1.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.02819 to 2 decimal places.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-5)\/8)\/(-5))\/((-16)\/(-640)). Suppose 2*d + 2*d - 8 = 0. Solve z + 2*j + 12 = d, -c*z = -4*j + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 44.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f - 35. Calculate z(7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984c (base 13) in base 7?\nAnswer: 265021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3066 is divided by 766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.3. What is the closest to z in -2, 4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-2)\/m))**(3\/5))**(-1\/7)*(m\/m**7*m*m\/(m*m*m*m**5))**(28\/3) assuming m is positive.\nAnswer: m**(-3932\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1103727685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -980 + -25430. Round x to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1191, -2382, -3573, -4764, -5955?\nAnswer: -7146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7085, -28360, -63819, -113462, -177289, -255300?\n\"Answer: -7092*m**2 + m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 4, 17, 5.\nAnswer: -34, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948343895?\nAnswer: 5, 17, 11156987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i - 57. Let s be f(-18). Calculate the remainder when 16 is divided by (3\/(-15) - s) + (-3)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 14) + -6 - -19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3238580346.\nAnswer: 2, 3, 43, 12552637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-33)\/(-286)*2\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1600 and 17600?\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -2.38, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*d - 115*d + 2*j + 358, -2*d - 3*j + 147 = 0. Let c(i) = i**2 + i - 1. Let a(s) = -36*s**2 - 72*s + 72. Calculate d*c(z) + a(z).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -0*f - 4*f - 2*m, 2*m = 4*f - 146. Suppose -3*w + f = -95. Let d = 87 - w. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207398 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + 3 - (-89 - -96)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 2716873463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 124*l**2 - 67*l + 23303. Give g(-126).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.055 (c) 3 (d) 0.109 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**8\/168 + 23*d**7\/210 + 7*d**4\/6 - 48*d**2 - 2*d. Find the second derivative of t(w) wrt w.\nAnswer: 40*w**3 + 276*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2000426 milliseconds in nanoseconds?\nAnswer: 200042.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -328116525212 + 904\nAnswer: -328116524308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f = -920000. What is f rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10965*i**4 - 3358 + 2*i - 3011*i**4 + 3341 - 30*i**2 - 16*i**2 - 20*i**2 wrt i?\nAnswer: 190896*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 - (-2 - ((-2 - -2) + (8 - 39) + 25))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013865 to 6 decimal places.\nAnswer: -0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9490.063 - 9490. Sort -2\/13, 0.6, -3\/4, x.\nAnswer: -3\/4, -2\/13, x, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429.658796 rounded to two dps?\nAnswer: 429.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 700 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sal when three letters picked without replacement from {a: 2, l: 13, d: 1, s: 1}?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:23 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2375 and 0.011?\nAnswer: -0.0026125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 555*r + 11. Let f(y) = y**3 - 10*y**2 + 17*y - 4. Let u be f(8). Is j(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -18947475?\nAnswer: 18947474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4074 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/69182974 and -25\/112?\nAnswer: 553463792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {l: 5, o: 1, a: 3, h: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8723 - 6158. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -1098, -2504, -4462, -6966?\nAnswer: -10010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -2*p**5\/45 + p**4\/3 + 14*p**3\/27 - 47. Factor l(i).\nAnswer: -2*i**2*(i - 7)*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1227*a**3 - 5 - 386*a - 3 + 245*a**3 - a**4 + 417*a wrt a?\nAnswer: -12*a**2 + 8832*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -1) + 1 + 0. Let v be (u\/(-4))\/((-6)\/(-36)). Suppose x - y = -v*x + 15, -x - 3*y + 7 = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccca. What is prob of sequence ac?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/164 and 143\/492?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 3. Let n(c) = -c**2 + 6*c - 2. Suppose a = 4 - 0. Let x be n(a). What is the remainder when g(x) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 54673.6 centimeters?\nAnswer: 546.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*k - 53 = 0, p - 45 = -3*p + 3*k. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -591145\/134694 + -2\/22449. Let x = 9926 + -158753\/16. What is the common denominator of x and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 + 5*m - 18. Suppose 18*u + 18 = 16*u. List the prime factors of p(u).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-168)\/(-16))*(-27)\/2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185096?\nAnswer: 2, 17, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 6) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -14*h + 339. Let u(l) = 3*l - 3. Determine -o(z) - 5*u(z).\nAnswer: -z - 324","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103579 is divided by 1698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 5 + (-1 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 1:18 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + n**3 - 4*n**3)*(-428 + 428 + 41*n) + 2*n**4 - 3*n**4 - 2*n**4.\nAnswer: -44*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -276 + 3?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x - 2*z = -31372, 41824 = 4*x + 4*z. Round x to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**2*y**3 + 402*i**2*y**2 - 35651*i*y**3 - 43*y**2 + 1 wrt y?\nAnswer: -18*i**2 - 213906*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28 (b) 5 (c) 1445 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -3 (c) -220\/127 (d) -0.3 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (2 + 1 + (-2 - -2) + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5028 - -11536. List the prime factors of v.\nAnswer: 2, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -553354 and -97 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.17 - -6.817. Let g = w + 0.253. Do g and 0.02 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -10*w + 33. Let y(a) = -5*a + 15. Determine -2*g(c) + 5*y(c).\nAnswer: -5*c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4 + 3)*23. Suppose 3*l - 16 = z. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*m = -337*m + 24 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 3*v**2 - 8. Determine g(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 190, 199, 198, 181, 142, 75, -26?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*a - 384 = 48*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o**2 - 2. Let j(t) = 290*t + 1. Give l(j(y)).\nAnswer: 925100*y**2 + 6380*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44911*k**4*r*u**3 - k**3*r*u**3 - k**2*r*u**3 - 16*k*r*u**3 + k*r*u + 25*k*u**3 - 2*u**3 wrt k.\nAnswer: 1077864*k*r*u**3 - 6*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6995013 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 4*g + 22, 5*d - 53 = g. What is the lowest common multiple of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2919*l - 542*l - 1231*l - 488*l to the form n*l + q and give n.\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44213929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3823582900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 584322 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 + 6*c + 3. Let i(v) = -18*v**2 + 26*v + 14. Give -9*d(o) + 2*i(o).\nAnswer: 9*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2233220111 (base 4) to base 3\nAnswer: -1100112210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -22441200?\nAnswer: 22441152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7888205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10099 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -0.3 (c) -1 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 734 - 112. Let i(p) = 16*p**2 - 8*p - 2. Let a be i(4). Let v = a - u. What is v rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 173 = 9*c - 12*c, -373 = -2*o + 3*c. Let m = 30 - -9. Calculate the greatest common divisor of m and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t. Let n(z) = 3*z**2 - 47. Give s(n(y)).\nAnswer: 15*y**2 - 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90621086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*b = -11, -3*r = -2*r + 3*b + 9. Suppose 7 + 59 = r*o. What is the greatest common divisor of o and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 78\/5 of a hour?\nAnswer: 936","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Work out 231251 + 0.7006034.\nAnswer: 231251.7006034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 53. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 5)*355\/213.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 75618*n + 4537073. Calculate o(-60).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92127605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139811196 divided by 34952799.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 632 + -605. Let j be (-2 + (-237)\/(-117))*(v + -21). Determine u, given that -112\/13*u**2 + j*u**5 + 64\/13*u**3 - 18\/13*u**4 + 96\/13*u - 32\/13 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/((-39)\/(-65))*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 354046 - 354049.15638. Let b = j - -3.12. What is b rounded to 3 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/10*-2*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 + 0*g**4 + 0*g**4)*(9 - 2 + 5).\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 1) + 0 + 2. Let q be (85\/m - -1)*-3. Suppose 28 = -3*i + q. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 + -0.09. Put i, -0.5, 0 in descending order.\nAnswer: 0, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*r - 64, -14*r = -2*f - 11*r + 64. Let c = 214 + -114. Suppose -c = -b - 4*b. Calculate the remainder when f is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102021 - 10102212?\nAnswer: -2000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19ca5a + 16?\nAnswer: 19ca72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21805739.\nAnswer: 21805739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1784, -3703, -5624, -7547?\n\"Answer: -n**2 - 1916*n + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 7)*(q - 2 + 2) - 1 + 2*q + 1 + (-5 + 3 + 1)*(q + 3 - 3).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7192\/5456 - 8\/(-20)*5\/11. Factor -1\/4*u**2 + x*u - 9\/4.\nAnswer: -(u - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*f + 21 + 7, -f = -4*r + 20. Suppose -2*b + 290 = 3*g, 5*g - g - r*b = 380. Does 53 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 - -8.5. Let l = z - 5. Let p be (-3021)\/265 - (-22)\/2. Which is the nearest to -1\/2? (a) 5 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 0.5. Let h = -0.0937 + -0.1063. Which is the closest to -3\/5? (a) u (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*h**3 - 17*h**3 - 21*h**3 - 19*h**3 - 19*h**3 - 18*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83671, 334577, 752727, 1338115, 2090735, 3010581?\nAnswer: 4097647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -389\/4 in -11\/25, 1, -2\/467?\nAnswer: -11\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(19) + -1 + -3 - sqrt(304)*-6)*5)**2 + -1 + -4.\nAnswer: -5500*sqrt(19) + 297354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1526, -12, -4 in increasing order.\nAnswer: -1526, -12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3240)\/(-16) - 5)*69\/(-15)*-2. Which is bigger: f or 1818?\nAnswer: 1818","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10234 and 35?\nAnswer: 51170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1. Let j be ((-2)\/4 - 148\/(-8)) + 3. Let r = j + -107\/5. Which is greater: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740926297?\nAnswer: 740926297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -24, -67, -148, -279, -472, -739, -1092?\n\"Answer: -2*h**3 - h**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x*x**(2\/7))\/x*x)))\/x**(-6))**27*(x**(1\/3)\/x)**(4\/11)*(x*x\/(x**0*x*x))\/(x*(x*x*x**(-1\/3)*x)\/x*x) assuming x is positive.\nAnswer: x**(14846\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 4. Suppose 3*s - k + 24 = -3*k, k = -3. Let b be o(s). Solve -2*y = -4 + b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63266 is divided by 1666.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 42*b - 40. Let o be v(22). Let w(i) = -5*i + 13*i - 4 - 6*i + o. Let s(q) = -q - 2. Calculate w(s(m)).\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(2 + 3 + 12)*(2*m - 3*m + 5*m - 5 + 5 + 3*m + (4 - 1 - 4)*(m + 4*m - 3*m)).\nAnswer: 255*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*v - 61*v - 167*v + 55*v to the form w + j*v and give j.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7. Suppose g = i - 5*i. Suppose -4*p + 8 = -f, -15 = -3*f - 2*p + 3. Solve i*b - 4 = f*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.27 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44341463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 5, -0.9, 0.02, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 2)**2*3 + -2)*-4.\nAnswer: -856 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 23*f**3 - 2*f + 1. Let r be 6\/15 + (-9)\/(-15). Let c be p(r). Calculate the greatest common factor of c and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460035791 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-77 - -48) - -121?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 7*b**2 + 3. Let z be k(7). Suppose -z*r = 4*j - 23, 0 = -5*j + 3*r + 16 + 6. Solve 0*l + 25 = -j*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5931373789 to the nearest integer?\nAnswer: 77015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (462\/(-18))\/(4 + 425\/(-105))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -107, -210, -313?\n\"Answer: -103*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5311000 to the nearest one hundred thousand.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ututttu. What is prob of sequence utt?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18022 - -18024.5473. What is y rounded to 1 decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10*z - 35 = 0. Suppose l - z = 10. Let o = 35 + -30. What is the remainder when l is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*a - 221750005 = 0, -3*a - 895926902 = 7*l + 656323101. What is l rounded to the nearest 1000000?\nAnswer: -222000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63593, 64065, 64533, 64997?\nAnswer: 65457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omor when four letters picked without replacement from {m: 1, i: 1, r: 4, a: 2, o: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -202. Let t = -62 - p. Which is the smallest value? (a) t (b) -0.4 (c) -3\/7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3. Suppose -2*p + g*d + 33 = d, -d = -p + 15. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15675*l - 15671*l + v + v - 96, -10*l + 11*l + 130 = 3*v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6088 and 368.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-6) + 1\/6. Suppose 16 = -0*o + x*o. Let i be 35\/84*21 + 3\/(-4). Calculate the highest common divisor of i and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -t - 5, 0 = -2*c - 2*t + 4*t + 10. Suppose c = 4*g - 11323 + 4163. Round g to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 9 - 29 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-45) + 903\/(-5). Let z = -95 - v. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(27\/1242). Suppose z = -4*x - 15, 2*x - 7 = -1. Let g = z - -3. Which is smaller: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 1. Suppose -140 + 1540 = 20*q. What is the remainder when -2*21\/q*-25 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -79, 54, 1?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(637) + 5 - (4 + sqrt(637) + 0) - ((0 + sqrt(637))*2 + -3 + sqrt(637) + 0))**2.\nAnswer: -280*sqrt(13) + 15941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125\/5042 or -1?\nAnswer: 125\/5042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83 and 50360914.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4)**(-8\/13))**(-26) assuming b is positive.\nAnswer: b**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 1. Let b be w(4). What is the common denominator of 22 and (b\/(-12))\/((-6)\/464)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1929*i - 8 - 1942*i + 8.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.334787*0.04.\nAnswer: -2.09339148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z + 3. Let l be k(3). Let m = l - 22. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8957 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let w = s - 0.4. Which is the second biggest value? (a) w (b) -1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 10*j**2 - 10*j + 10. Let i be g(-11). Let m = i - 2. Let u be ((-4)\/16)\/(m\/36). Solve -2*o = -u*o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 4*f**2 + 5*f - 3. Let b be w(3). Let o = -717 + 722. Solve -b*a + 10 = -o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 95*q**3 + 2*q - 2. Let f(i) = -i**2 + 7*i - 5. Let t be f(6). What is the units digit of g(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 + 31108*o - 62184*o + 31076*o.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1991106, -3982230, -5973378, -7964562, -9955794, -11947086, -13938450, -15929898?\nAnswer: -17921442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55690343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddm when four letters picked without replacement from {b: 1, d: 11, m: 3}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.08 - -0.08. Let b = v + 6. Let m = 3 - b. Sort m, -2, -1\/3 in increasing order.\nAnswer: -2, -1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -379, -368, -367, -382, -419, -484, -583?\n\"Answer: -m**3 + m**2 + 15*m - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = 2. Solve 8 = -n*t + 2*x - 4*x, -4*x = t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 92 = -i + 3*i, -t + 56 = -i. Let l = t - 35. Let y(q) = 14*q**2 + 19*q - 4. Let n be y(-4). Calculate the greatest common factor of l and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*l - 30 = 0, -6*l - 11 = 3*y - 2*l. Suppose y = 3*u - 6. Let w(x) = -2*x + u*x - x**2 - x**3 + 3 + 4*x**2. Give w(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 3. Let g be u(-4). Suppose q = 5*b + 2*q - 57, 9 = b - q. Let i be 5*b - (-11 + 63\/7). What is the greatest common factor of i and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*d - k - 10, 5*d - 2*k = 24. Suppose 2*w - 16 = -d*b, -2*b - w + 12 = w. Suppose -9 = -b*s + 2*p + 31, -5*p = -s + 4. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 + 155 = 3*w. Let i = -185 + w. Let d = 83 + i. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30384, -61087, -91788, -122487, -153184, -183879, -214572?\n\"Answer: g**2 - 30706*g + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1674 times 1.331\nAnswer: 0.2228094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-42)*70\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*j**3*p**4 - 826478*j**3*p**3 - 38*j**3*p - 2*j**2*p + 5433*j wrt p.\nAnswer: 336*j**3*p**2 - 4958868*j**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77321 (base 15) to base 14.\nAnswer: 9c026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 104*y - 15517. Give b(83).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1001001?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - a + 25, 5 = -2*a + a. List the prime factors of -2*(-25)\/y - -256.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9872 and 322691.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139522669 to the nearest integer?\nAnswer: 11812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 524*(-3)\/(-78) - (-36)\/(-234). Suppose -19*w + k*w - x = 16709, 0 = 4*w + 4*x - 66820. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, -4, 17, 2\/45, 2\/31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110353425 (base 6) to base 13.\nAnswer: -548b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154128 and 494.\nAnswer: 154128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/35)\/(11 + (-74059)\/6727).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391132701 to the nearest integer?\nAnswer: 19777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*h - 16, 5*h + 7*x = 6*x - 9. Which is the nearest to -1\/4? (a) -0.4 (b) h (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3 = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -16) + -12 + 23 + (-3 - -5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/814044 and -50\/319803.\nAnswer: 8954484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a + 23. Give u(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 10*t**2 + 13*t - 28. What are the prime factors of v(-12)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 0*x**3 + 0*x**2 - x**4 + 22 + 3*x + 2\/5*x**5. What is the first derivative of v(o) wrt o?\nAnswer: 8*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 123, -1277 in descending order.\nAnswer: 123, -3, -1277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1316 + -1302. Solve -z + 5*j - 9*j + 19 = 0, 4*z - 2*j = -w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 3*y**5\/20 - 6*y**4 + 65*y**3\/2 - 63*y**2 - 2*y. Find w, given that n(w) = 0.\nAnswer: 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 649.7 + -651.7. Which is the nearest to t? (a) -7 (b) 98 (c) 0 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3\/(18\/3). Let b(x) = 2*x + 1. Let f be b(w). Sort f, 2, 0 in descending order.\nAnswer: 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/((-58344)\/44))\/(5\/(-20)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1178 - -411.1178. Is l at least -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7203 - -7293. What is the highest common factor of 4689 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 254*c*t**3 + 23017*c*t**2 - 3*t**3 wrt t.\nAnswer: 1524*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/(-114))\/((-3)\/(-48))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3, -2\/3, 60, -1.2, -0.3 in ascending order.\nAnswer: -3, -1.2, -2\/3, -0.3, -1\/5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 44 = 4*x - 2*x, -72 = 3*x + 3*f. Let c = x + 20. Factor 0*v + c*v**2 + 0 + 1\/3*v**3.\nAnswer: v**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11033467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**9*x)\/x**5)\/(x**8\/((x*x**10)\/x)))**(2\/11))**(-4\/3) assuming x is positive.\nAnswer: x**(-56\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 3*r - 3. Let z be f(6). What is the remainder when z\/15 - (-2)\/(-5) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -15. Let s be (-16)\/(-10) + g\/(-20). Solve 4*p - 2*p = -s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-63)\/5 - (-4)\/(-10). Let r = v - -5. What is the tens digit of (r\/2 - -1)\/((-3)\/56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 1147 = 1139 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 33 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 6:54 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n - 82. What is a(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 204 - 192. Suppose -2823 = -5*q - 14*y + c*y, 4 = y. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -4 (c) -3\/2 (d) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-2)*(-13)\/(-65). What is the closest to -0.1 in -0.3, n, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2290 and 29770?\nAnswer: 29770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -61. Let d(z) = -z**3 + 3*z**2 - z + 1. Let x be d(2). Let m = -3 - -4. Sort x, j, m.\nAnswer: m, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1058\/168 - ((-3699410)\/5572 - -664)?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.0374?\nAnswer: -0.00374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - 39*b**2 - 21*b + 22. Suppose -4*t = 4*v - 64, -2*v + 11 + 13 = 4*t. Let c be h(v). Solve -c*i - 6 = 3*d, -i + 1 = -5*d - 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-4))\/((-9344)\/3112 + 3). Let q = h + 2623\/28. What is the common denominator of -73\/35 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/((-1320)\/(-7868096)) + (-2)\/(-11). Round a to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:24 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153)*4)\/(sqrt(441)*1 - sqrt(9)).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 2:28 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t**3 + 6*t - 21*t**3 - 6*t.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**1))**(1\/24))**(4\/21)*((m**0)**(-24))**(-1) assuming m is positive.\nAnswer: m**(-1\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*s - 4*s**2 + 0.\nAnswer: -2*s*(6*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 398?\nAnswer: 3582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28821 + 3?\nAnswer: 28824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -11*g + 4*h - 55, -2*h + h = -4*g + 4*h - 85 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let b = 235\/6 - 1657\/42. Let m = 7 - 3. Put m, b, r in descending order.\nAnswer: m, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -17*t**4 + 190*t + 134. Let c(k) = -5*k**4 + 63*k + 45. Let m(o) = 7*c(o) - 2*n(o). What is the derivative of m(r) wrt r?\nAnswer: -4*r**3 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 22 + 8. Let d be (-2579998)\/3 - 4\/u. What is d rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17 and 193394.0420455?\nAnswer: 193377.0420455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 577 = u + 4*u, -u + 111 = 3*j. What is the greatest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 112*b + 22128. What is n(-197)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from taataaooaataooto. Give prob of picking 1 a and 3 o.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8307 + -8304.9. What is the second smallest value in v, -0.4, -1, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.2517134 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*t = -840, -35 + 399 = 2*i + 4*t. Suppose 4*u + 24 = i. Let r = -25 + u. What is the highest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/22 - 2*t**3\/33 - 3*t**2 - 126*t\/11 + 156. Determine k so that n(k) = 0.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*x = 1, -3*s - 5*x - 7 = -s. Let c be -14 + 18 + 8*s. Let j(w) = -w**3 - 3*w**2 - 2*w. What are the prime factors of j(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*b = 669, 4*t - 4*b = 8*t - 2676. Let a = 1030 - t. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5\/7 - 6*z**4\/7 + 138*z**3\/7 + 286*z**2\/7 + 144*z\/7 = 0.\nAnswer: -9, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 19*n - 17*n)*(-2093 + 4078 - 2057)*(2 - 2 - n**4).\nAnswer: -2592*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 - 25*f.\nAnswer: -f*(f + 50)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5157813.\nAnswer: 3, 1719271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*a + j, 0 = 5*a + j - 22 - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 11 = 14. Suppose n*u + 3 = 2*x + 13, 5*u = x + 10. Let a(v) = 250000*v**2 + v - 2. Let z be a(u). Round z to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((s**10\/s*s)\/s*s)\/s)\/((s**(-1\/5)\/s)\/s))\/(s**(-7)\/s*s*s**(4\/5)))**32)**(-1\/21) assuming s is positive.\nAnswer: s**(-928\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t = 45. Suppose -m = c - 5, t = 2*m + 3*c - 0*c. Suppose -9*v = -14*v + 100. Solve m = 3*y + 2*y - v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.239 and 75?\nAnswer: 92.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 2.3?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/7 + 50*f**3\/7 + 376*f**2\/7 - 320*f.\nAnswer: -f*(f - 56)*(f - 4)*(f + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -31. Let o be (u\/7)\/(6\/(-21)) - 2. What is the tens digit of 362\/o + 4\/(-10) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {m: 3, e: 3, u: 3, f: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10082 + -5042. Is s a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.359 - -3.359. Which is the second biggest value? (a) -4\/17 (b) -0.05 (c) v (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = h - 4*h. Let r(p) = p**3 - 8*p**2 + 7*p + 3. Let v be r(h). Solve -v*b + 3 = -0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.416 and 21.2.\nAnswer: -8.8192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-16902)\/(-2113) + (-896)\/112). Which is greater: t or -2110?\nAnswer: -2110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4179 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, -9191 in ascending order.\nAnswer: -9191, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**4\/7 + 6425*q**3\/7 - 154874*q**2\/7 - 39120*q\/7 = 0.\nAnswer: -1630, -1\/4, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 128, -174 in ascending order.\nAnswer: -174, 19, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -280390 to the nearest one thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = -1. Suppose 111 - a = 5*k. Is k >= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/468*(-9)\/6 + 924\/78. Let y(r) = -r**3 + 5*r**2 - 6*r + 4. Let k be y(4). Let h = -1 - k. Solve -12 = 3*m - h*z, m = 6*m + 3*z - l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 6*x - 9. Calculate the lowest common multiple of r(-9) and 3\/(1 + 22\/(-28)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 less than 130.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -331407, -331406, -331405, -331404?\n\"Answer: q - 331408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*z - 6*r + 305, -2*r = -2*z + 304. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 28\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -12, 2*c = -3*x - c + 2670. What are the prime factors of x?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/28 and 41\/5.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6753 + 3349. Let m = 28813\/126 + -2042\/9. Calculate the common denominator of m and x\/(-880) - 2\/(-11).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20139 - -67566. What is the ten thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940 less than or equal to 32\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 4*w**2 + 5*w - 2. Suppose 4*q + 14 = -4*l + 6, 2*q + 5*l = -10. Suppose q = 3*x - 22 - 29. What is the remainder when o(3) is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*o + 246*o - 464*o + 166*o**3.\nAnswer: 166*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -48 + (-2 - (-2 + -17 - -12 - 3)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 66 - 23\/2*r**2 + 37\/4*r**4 + 0*r + 0*r**3. What is the second derivative of l(q) wrt q?\nAnswer: 222*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 54, -0.5, 0.5, 4\/7, -2\/23?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -16*n**2 + 13. Let h(i) = -i + 5*i + i**2 - 1 - 5*i + 2*i. Let a(f) = -6*h(f) - x(f). Is 6 a factor of a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -699 + 698.9. Sort g, 3.1, -4\/9 in decreasing order.\nAnswer: 3.1, g, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6377187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-16)*(1 + -3). Which is the closest to s? (a) 4 (b) -0.5 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 27, 4.\nAnswer: 1, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75.3456 - -0.0456. Let r = 77 + j. Let i = r + -6.7. What is the nearest to -0.2 in -2, 2\/3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/132 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12330 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/60 - h**4\/3 + 3*h**3\/2 + 4*h**2. Let f be z(7). Let j(u) = -12 + 12 + f*u**2. Let w(k) = 7*k**2. Determine w(j(i)).\nAnswer: 28*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7623) + 2.\nAnswer: 2 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/18 and 85\/34630464?\nAnswer: 103891392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -109800*x - 439219. Determine z(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/192 and 41\/75612.\nAnswer: 1209792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4892987 times -4?\nAnswer: -19571948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - (sqrt(72) + sqrt(72) + 1)) + 1)**2 + (sqrt(128) + -1 + 5 + sqrt(128))**2)*-6.\nAnswer: -3600 - 768*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63667 by -25.\nAnswer: -63667\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/2)*n**(-1))**(-1\/3)*(n**(-2\/3)*n*n*n\/n**(2\/13))**(1\/10) assuming n is positive.\nAnswer: n**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**3 - 3*n**2 - 4*n - 2. Let i be p(-2). Suppose 36 = 2*l - q, -l - 3*q - 2*q + 40 = 0. Calculate the greatest common divisor of l and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21630 - 21635 + 3559*k**2 + 43265 in the form f*k**2 + g*k + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100011101 + 1110?\nAnswer: -1010100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -83. Suppose -17 + z = -l. Is 3 - (380\/(-5) + l) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -34.1536227?\nAnswer: 29.1536227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -9. Is ((-4775)\/k)\/(2\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3109*a + 343375 - 56959 = 1103*a for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-171))\/(6\/(-4)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.0189.\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245 divided by -6742.\nAnswer: 245\/6742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 61*q + 176. Determine w(27).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-5) - -7)\/((-336)\/120)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10)*i\/(i*i**6*i*i)*i*i*i**(-1\/4)*i\/i**(10\/3) assuming i is positive.\nAnswer: i**(-223\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -14*y**3 - 6*y**2 - 5*y + 13. Let k(i) = -39*i**3 - 17*i**2 - 13*i + 37. Determine 6*k(j) - 17*v(j).\nAnswer: 4*j**3 + 7*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4645 is divided by 150?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*x**4 + 6*x**3 + 2*x**4 + 4*x**3 - 6 + 5 + 11*x**4 - 187*x**2 wrt x?\nAnswer: 312*x + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**5\/60 + u**4\/8 + 3*u**2\/2 - 3*u. Let y(v) be the first derivative of m(v). What is the second derivative of y(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.379 - -0.079. Which is the nearest to -2\/9? (a) 2 (b) m (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -781 + 761 = 5*v. Put -1\/2, v, 1651 in ascending order.\nAnswer: v, -1\/2, 1651","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1051 = 4*q + 3713, 0 = 5*p - q - 11874. Suppose 3*t - p - 1717 = -4*h, -t + 4089 = 4*h. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + sqrt(84)*-1)*-1)\/(4*(sqrt(12) + sqrt(108))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -453, -665, -859, -1029, -1169, -1273, -1335?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 - l - 2 + 4*l + 24*l**2 - 1330*l**4 + 1331*l**4 to the form k + a*l**2 + g*l**4 + d*l**3 + t*l and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8792.898 rounded to the nearest ten?\nAnswer: 8790","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/52 and 3\/11*(100\/(-48) + -7).\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -16. Let g(m) = -1 + 2*m - m + 3. Give g(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 12. Let p = y + 10. Suppose -p*a - 2 = 3. Which is smaller: -1\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 23, -336 in increasing order.\nAnswer: -336, -5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhop when four letters picked without replacement from phpoopppphohp.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105\/31 + 13852\/3751. What is the common denominator of a and ((-6)\/(-15))\/2 - 1149\/(-330)?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -217 + 27. List the prime factors of 5\/((-5)\/p*2).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(3\/4)\/((-48)\/32)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -14. Is (2 - (-105)\/9)*v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(14)\/sqrt(2)))\/sqrt(216) + 4*sqrt(22)\/(sqrt(11) - sqrt(176)\/sqrt(4))*-2.\nAnswer: 49*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/237 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19 - -0.01. Let k = c - -0.2. Suppose l = a - 6, -22 = 3*a + 6*l - l. What is the nearest to a in -4, k, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 11:13 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/12011894 and 50\/36911?\nAnswer: 84083258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 154251800 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26540*g + 24644*g + 1887 - 1887.\nAnswer: 51184*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 20*k. Let o(r) = -r**2 + r. Let h(q) = -8*q**2 + 4*q. Let d(l) = -h(l) + 4*o(l). Give w(d(y)).\nAnswer: 32*y**4 - 80*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 6*b. Let n be (13 - -5)*2 + -1. Suppose 5*w + b*w + 11 = 2*i, 3*w = -4*i + n. What is the smallest common multiple of i and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/1936 and 109\/3872?\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74335 * 2.\nAnswer: -148670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/3 - 1970*d**3\/3 - 176972*d**2\/3 - 922480*d = 0.\nAnswer: -887, -78, -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63805 and 170104130?\nAnswer: 170104130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 - (28 - 21)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.1 + 5. Let g = -484.3 - -484. What is the biggest value in 4, 0, g, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32324000 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5047 is divided by 109?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9721299?\nAnswer: 3, 7, 449, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 8*t - 2. Let c be g(8). Is 15\/c*86\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17\/44, 4\/11.\nAnswer: 4\/11, 17\/44, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 0 + 1\/6*j**3 + 5\/2*j**2 - 5\/12*j**4 - 1\/20*j**5 - 3*j. Suppose h(i) = 0. What is i?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4\/5, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1)*6 + -1 + -1 + (6*(sqrt(153) - -1*sqrt(153)) - sqrt(153))\/(-3*sqrt(144)).\nAnswer: -8 + 61*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244 (base 16) to base 15.\nAnswer: 28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -259, -233, -187, -115, -11, 131?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/9*4)\/((-4)\/(-6)) and -53\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 18. What is o(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 6*i**2 - 9*i - 2. Let m be t(-7). Let b(d) = -d**3 + 6*d**2 - 2*d - 11. Let v be b(5). Suppose -9 - 35 = -v*o. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 1\/4, -8067, -24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1a20c (base 16) to base 15\nAnswer: 21a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37418317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*j**2 + 4\/3 + 1\/2*j**3 - 2*j - 1\/6*j**4.\nAnswer: -(j - 2)**2*(j - 1)*(j + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f + 5. Let g(y) = -6*y - 2. Let r be (0 + 0 + 2 + -3)\/1. Let p(w) = 7*w + 2. Let z be p(r). Give z*g(c) - 2*t(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 96, 22, -52?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -34, -1\/6, 6, 1?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-945) + 4\/(-14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/56 - (-12 + 13) and (-154)\/1680 - 36\/72?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + -33980.\nAnswer: -33979.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3112020 (base 4) to base 9\nAnswer: -20716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-24) - (114\/8)\/19\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8066?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 - 22*h + 22*h)*(2*h**3 - 7*h**3 + 3*h**3) - 31*h**5 + 2*h**2 - 504 + 504.\nAnswer: -21*h**5 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -674 divided by 609040?\nAnswer: -337\/304520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1534, -6134, -13800, -24532?\nAnswer: -38330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j. Let m(y) = -2*y. Let r(i) = -5*i + 1 + i + 14 - 5. Let b be r(4). Give b*v(f) - 11*m(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**5\/7 + 16*r**4\/7 + 48*r**3\/7.\nAnswer: -4*r**3*(r - 6)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljjcpdjjl. Give prob of sequence djl.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*h - 67. Let b be ((-8)\/h)\/(2\/10). Let j be 99\/(-21) - (-2)\/(-7). Sort b, -2, j in increasing order.\nAnswer: j, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125782 at least as big as 125388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 362399272 and -0.218.\nAnswer: 362399271.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105480049.3 - -64.\nAnswer: -105479985.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 104 = 2*z + 2*z, -5*b + 188 = -3*z. What is the highest common divisor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - -232. Suppose -10*h + h + u = 0. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 4*b**2 - 3*b + 1. Let f(u) = u**2 - 3*u - 4. Let y be f(3). What is the units digit of l(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4581795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 10 + 2 + -1. Suppose -3*t + 51 = -0*t. Suppose 0 = -4*b + l + t. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8807*t - 281826. Give g(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by 41933.\nAnswer: 87\/41933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b - 1 - 4 - 6*b + 19*b.\nAnswer: 33*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -24. Let d = u + 14. Suppose 3*k = -2*b + 5*k + d, 4*k = -16. Solve -4*v = -5*s, 8 = -3*v - b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -88, -168, -5, -17 in decreasing order.\nAnswer: 4, 0, -5, -17, -88, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9660869 = 436*r - 510*r - 17947791. What is r rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23594 - -23592.13. Put 3, n, -1 in descending order.\nAnswer: 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -161\/6 - -55\/2. Let s = 11 - 13. Let v = -0.97127 + -0.02873. Which is the closest to v? (a) s (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -329.6918 - -3.3\nAnswer: -326.3918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 3*z - 5. Let y(d) = -2*d**2 - 3*d + 6. Let w(t) = -6*j(t) - 5*y(t). Determine w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -7303.8 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*n**2*x**2 + 16*n**2 + 60*n*x + 2*n - 2*x**2 - 4 wrt x?\nAnswer: 8*n**2*x + 60*n - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1769 (base 15) to base 12\nAnswer: 2b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 466\/63 + -64\/9. Let l = -36 - -34. What is the closest to l in 0.4, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (((-2080)\/5)\/(-4))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 12*c**3 - 14*c**3 + 2 + 24*c**3 + 3*c. Suppose 10 = -5*r + 5*f, -r + 5*f + 2 = -2*r. Give x(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**4 + 13*v - 20*v + 1 + 3*v**4 to the form f*v + o*v**4 + k + p*v**3 + x*v**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*i**2*l*m + i**2*y - 25*i*l*y - 3*i*m**3*y - 2*l + 2*m**3 wrt y?\nAnswer: i**2 - 25*i*l - 3*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3822)\/(-104)*56\/(-26) - (192\/(-104))\/12?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 9*j - 2. Let v be i(10). Suppose 5*s - 7 = v. Let g be (-28)\/(-6) - s\/(-9). Solve 0 = -4*h - 10 + 2, -g*h = -2*l + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 8*j + 11. Let t be b(-9). Suppose 206 = t*q - 0*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -24) + 0 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 21, 46, 89, 156?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let z = 1\/19 - -17\/38. Which is the closest to z? (a) 3 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 7 (b) -1\/2 (c) 0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184*m**5 + 15*m**4 - 3*m**2 + 9918*m?\nAnswer: 11040*m**2 + 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10734308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 95285 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 11448687*p - 11448690.\nAnswer: 3*(p - 1)*(p + 3816230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6393\/460 + 231\/20. Is -1 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77728 and 0.5.\nAnswer: 38864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/9 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/3 + 10*k\/3 + 25\/3 = 0. What is k?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*q**2 + 155*b**3*q - 629*b**2*q**2 wrt b.\nAnswer: -6*q**2 + 930*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -591 (b) -24553 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22402 and 4437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 3632.7.\nAnswer: -1453.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20222.6846943 - 20231.0847. Let w = 4.05 - 12.45. Let a = b - w. What is a rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504354562.\nAnswer: 2, 109, 461, 14969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x - 18. Let h be q(6). Suppose -h*o + 45 = -15*o. List the prime factors of 20\/(-4)*(-108)\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*i - 55 = 0, -3*n + 2*i - 3*i = -63. Let d = -19 + n. Let b = -5.4 + 0.4. Which is bigger: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21445796 bigger than 21445797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 5, h: 2, n: 8}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/408)\/((-50)\/2250*15\/(-6)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28, 8, 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6005873 millimeters in centimeters?\nAnswer: 0.06005873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - -13026161?\nAnswer: 13026177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 225 (base 9) to base 16\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 87.188?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2590502\/463 or -5595?\nAnswer: -2590502\/463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/1080 and -43\/24120?\nAnswer: 72360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2340*v - 7014. Calculate p(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4623572010 - -5?\nAnswer: -4623572003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5 - 3*b**4 - b**3 + 3*b**2 + 2*b = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/614 and ((-5)\/(-30)*9)\/((-60)\/(-248)).\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuzfzqzfuuffz. Give prob of picking 1 u and 1 z.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 23422 (base 11) to base 12\nAnswer: 17673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1351 - 12091\/9. Suppose 37701 = 5*v - 9379. Let d = 56353\/6 - v. What is the common denominator of d and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a millennium in years?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 1 (c) 13 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 8. Suppose m + v = -19, 3*m = m + 3*v - 13. Let n be l(m). What is the greatest common divisor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32924.311 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6778 - 6644. What is the nearest to m in -2\/13, 4, 5, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.286 - 14511\nAnswer: -14510.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 3*k + 3. Let x be w(-3). Suppose -3*s - 6 = x. Which is the third smallest value? (a) -2 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1920 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 + 4 + l**4 - 531*l**2 - 24 + l + 18 as d*l**2 + y + n*l**3 + o*l + x*l**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 55*k**2 - 72*k. Give r(29).\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = 3*z, 0*z - 2*z + 1 = s. Solve z = -t + 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 14*u + 5. Let d = -12 - -18. Let r be c(d). Suppose 0 = -3*w + w - 3*t + 129, 5*t = 2*w - r. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 44) + -58 - -40\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuububuuuu. What is prob of picking 3 u and 1 b?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1340513 (base 6) to base 2\nAnswer: 10010011001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6336031 and -163205575.\nAnswer: -169541606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16234897549 plus 5?\nAnswer: -16234897544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1768 at least as big as -1770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 77789382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-3))\/(1\/(-93)))\/(-84 - -85)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*r*x**2 - 15*r*x - 381*r + 3*x**2 - x - 2 with respect to x.\nAnswer: 12*r*x - 15*r + 6*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115652 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -39.6. Let m = -4 + f. Let o = 2.6 - 2.6. Sort -0.1, o, m.\nAnswer: -0.1, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/5)\/r**(-10\/11) assuming r is positive.\nAnswer: r**(83\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**5\/10 - q**3\/3 - q**2\/2 + 6*q - 1. What is v(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*b + 37 - 37)*(-8 + 4*b + 8).\nAnswer: -184*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 568742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)*r*r\/r**4)\/((((r**(-7)\/r)\/r)\/r)\/r)**(-2\/17) assuming r is positive.\nAnswer: r**(-314\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 3*p + 3. Let w(r) = 6*r**2 + 7*r + 7. Let b(v) = -7*j(v) + 3*w(v). Let z(t) = -3*t. What is z(b(f))?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15.7 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*v + 1 = 4*v, -332193*j + 332198*j = 3*v + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 0*x + 8. Suppose -x + 24 = 5*u. Suppose u*k = 6*k + 3*m - 16, 4*k - 16 = -2*m. Solve -5*i - 4 = 2*b, -b = -2*b + k*i + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u + 240*u + 198*u.\nAnswer: 448*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22713.398 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, 3192, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 11, g: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-4 + 6 - -4 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -486 + 33*b + 240 + 246 as s + j*b and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**7\/1155 - 3*a**6\/11 + 8099*a**5\/330 + 15*a**4\/11 - 2700*a**3\/11 - 11112*a**2. Find o, given that n(o) = 0.\nAnswer: -1, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**3 - b + 33*b**3 + b.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*q**2 + q - q)*(q + q - 3*q) - 20*q**3 + 52*q - 52*q to the form v + o*q + z*q**3 + w*q**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = 8. Let z = n - -11. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + 2*t**2 - 4*t**2)*(-2 + 2 - 2*t) - 5*t**3 + t**3 + 14*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-4))\/(749\/(-1498)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581800261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 18*k**3 + 7*k**2 - 57*k - 466. What is the thousands digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 171 + 185 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwwm when four letters picked without replacement from {m: 2, d: 1, g: 1, c: 2, q: 2, w: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 80?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y - 24. Let i = 9 + y. Suppose 0 = 172*b - 142*b. Put b, -10, i in descending order.\nAnswer: i, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.02 - 0.02. Let j be 6\/15*(-2 - (-55)\/40). Put m, -5, j in descending order.\nAnswer: m, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -5, 0, -321, 16 in descending order.\nAnswer: 16, 0, -5, -44, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 203321012102 (base 4) to base 13\nAnswer: 1c45808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7*o - 19 = -10*o, 3*o = 5*x - 41. Calculate the lowest common multiple of x and 555.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1. Let k = 7.389 + -7.429. Which is the biggest value? (a) k (b) -3\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j**3 - 16*j. Let i(v) = 3*v**3 - 5*v. What is 16*i(l) - 5*x(l)?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 72?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.02786.\nAnswer: 0.02786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 47 = -53, c + n - 71 = 0. Solve 0 = -57*g + c*g - 72 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/9 and -53\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62811253, -62811268, -62811293, -62811328?\n\"Answer: -5*o**2 - 62811248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9*u = -15. Let o(x) = x**3 + 77*x**2 - 91*x - 642. Let g be o(-78). Suppose -3*p + g = -3*c, 3*p - u*c = 4*p - 136. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*c = -4*c - 493, 2*c = x + 254. What is the units digit of x\/(-10) - 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**0)\/a)**34)**(1\/51) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7991*k**2 - 2*k**3 + 1190 + 5307*k**2 - k - 1189 + (k - 2*k**2 - k)*(k - 2*k - k).\nAnswer: 2*k**3 - 2684*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 2 = -2*j, 0*y - 3*y + 57 = -y - 8*j - 3*j for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 375\/6*(-350)\/3500.\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 1:28 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*i + 101 = 11, -5*i + 39 = p. Let h = p - 10. Suppose -h*m + 67 = -13. What is the remainder when 117 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 595, 908?\nAnswer: 1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 6494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/4, 2\/13, 6082 in decreasing order.\nAnswer: 6082, 2\/13, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r - r + 2*p, 0 = 4*r + 3*p - 39. Let x be -1*(-2)\/r*9. Suppose 112 = v + x*v. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2 - q + 2. Suppose -179 = -3*v + 142. Let p = 109 - v. What is r(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120449317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55050 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2052957 + 0.0058\nAnswer: -0.1994957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186903900 + 98837149. Let w = y - -88066770.9999964. Let d = 20 - w. What is d rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -349*x**2 + 348*x**2 - 1 - 6*x**4 - 9*x + x**3 + 8 - 2*x**4 in the form y*x**4 + u*x**2 + j*x**3 + f*x + d and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1417325*y**3 + 6*y**2 - 100765?\nAnswer: -8503950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from ocppoppf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9347.238ml in litres?\nAnswer: 9.347238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*b**3 + 0*b**4 - 2 + 3*b**4 + 146*b**3 in the form l*b + i + a*b**4 + u*b**2 + s*b**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 4*m**2 - 4*m. Suppose -2*w - 1 = 51. Let r be 18\/(-117) - (-22)\/w. Let t be r + 5 + -9 + 8. Calculate v(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 249?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0 + 47*j**2 + 63\/8*j**4 + 79\/120*j**6 - 9*j**3 + 0*j + 3\/70*j**7 + 15\/4*j**5. Factor d(q).\nAnswer: (q + 3)**3*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -591 and -0.5?\nAnswer: 295.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16241*s - 16245*s + 16 = -4*q, 4*q - 2 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 4:30 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/2339?\nAnswer: 2\/2339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13 + 23 = 0. Suppose p - 4 = -0*p. Let y be (p\/(-3))\/((-2)\/r). What is the greatest common divisor of y and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 11\/4*r**2 - r + 1\/40*r**5 - 16 + 3\/8*r**4 - 7\/4*r**3. Factor a(k).\nAnswer: (k - 1)**2*(k + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7*q = -z, -3*z = 4*q. Suppose q = -5*m + f + 693, 0 = 8*m - 3*m + 5*f - 705. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26541710 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*k*w**5 + 2269*k*w**2 - 35*k*w - 6*k - 25*w - 2 wrt w?\nAnswer: 1140*k*w**3 + 4538*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - r + 1)*(13*r - 13*r - r**2) + 28*r**3 + 62*r**3 + 257*r**3 - 3 - 5*r**3 + 3.\nAnswer: 343*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, -3, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = w + h + 18, -5*w - 78 = 3*h. Let i be (-1 - (-5)\/w*-1)*-6. Let u(f) = 5 + 4*f**2 + 5 - 5 - f**3. Give u(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**3 - 29*o**2 + 714*o - 3574. What is r(5)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(3 + 1 - 2 + 2 + 1 - 1 - 5 - 1 + 4 + (-2 - 3 + 4)*(-2 + 0 + 1))*(h + 2*h + h).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -38*x - 79. Let z be k(-6). Suppose 70*b + 237 = z*b. Let j be (2\/4)\/(1\/8). Sort -3, 0, b, j in descending order.\nAnswer: j, b, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 448166*g**3 - g + 1542367 wrt g.\nAnswer: 2688996*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.162 - -0.09. What is f rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -18, -2\/7, 0.03, 2, 3\/4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 18*z - 13. Calculate q(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57207 or 57261?\nAnswer: 57261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1197462)\/(-196) - (-7)\/2?\nAnswer: 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18569, -18574, -18579?\n\"Answer: -5*s - 18564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2701705 (base 9) to base 3.\nAnswer: -2210001210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 - 8 = 0. Let c(q) = 3*q**2 + 3*q - 3. Let u be c(-3). Suppose -4*k = -k + u. What is the biggest value in 0.1, k, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*j**2 + 172*j**2 + 176*j**2 + 217*j**2 - 918*j**2 + 173*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert e7 (base 15) to base 3.\nAnswer: 22001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 5519.\nAnswer: 5\/5519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -18 + 31 - 10 - 2*a - 2*a. Give k(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 16*r - 230. What is the smallest common multiple of 230 and y(20)?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17524604.\nAnswer: 2, 4381151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334432?\nAnswer: 2, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260510 divided by 130255.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-10)*6 + 434\/(-10). Let a = -43 - i. What is the nearest to -1 in -0.2, a, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4728*b + 6867*b - 200090 = -175*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 258*d**2 + 9744*d - 114464.\nAnswer: 2*(d - 73)*(d - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8854 is divided by 983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l - 9*k - 66, l = -3*k - 13. Let t(p) = -p - 9. Let a be t(-9). Solve -l = c - a*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 1261*x**2\/2 - 4380. Let i(v) = 2*v. Give i(h(m)).\nAnswer: 2522*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 - 178 - -2 - 12.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2.6. Let g be 7 + (-9 - (6 + -5)). Put c, -2, g in descending order.\nAnswer: c, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6977*d**3 - 11958*d**2?\nAnswer: -41862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.1 - -109.1. Which is smaller: d or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-40)\/150)\/(3\/(45\/(-78)))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 3*g + 19, -i + 227 = 3*g + 226 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -5*c + 62 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 2, p: 1, f: 1, j: 2, c: 1}. What is prob of picking 1 b and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + (sqrt(50) - -1*sqrt(100)\/sqrt(2)).\nAnswer: 7 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:40 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 1. Let x be w(-6). Let o(g) = g**3 - 5*g**2 + g + 12. What is the remainder when o(x) is divided by 1 + 0\/1 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = 0. Suppose -4*i = -t*i - 12. Is (38\/i)\/(2\/6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042036864 rounded to 6 dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - f - 30 = -4*g, -2*g + 3*f - 9 = 0. Sort g, -3, -1 in increasing order.\nAnswer: g, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/7 and 53\/32188.\nAnswer: 225316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 28*u**3 + 2 + 20*u + 19*u - 40*u - 3*u**2 + 1 to r*u**2 + i + a*u**3 + s*u and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52)\/12 - -5 - (-10)\/(-24). What is the nearest to -0.1 in w, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2274231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2187, -7, 1\/6, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 12, 4*v - 2*c - 10 = 30. What are the prime factors of 6 - -523 - (v + -5)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 4*y**2 + 2. Let q be p(4). Solve -4*u - l = l + 14, u + 5 = -q*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*p + 10 = -0*p, -i + 4*p + 20 = 0. Let f(s) = -s**2 - 3*s + 149. Is f(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1468330357 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13008?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23446 + -23445. Put l, -3, -98 in descending order.\nAnswer: l, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 107 + 77 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6058 + -0.3058. What is the biggest value in -34, 1\/4, -2\/17, 2\/5, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568349280 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 = 3882*x - 3884*x. Is 173 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -301*h**2 - 20 + 45 - 17 - 8 - 81*h**2. Let s(f) = -3*f**2 - 2. Let y(d) = 7*d**2 + 5. Let m(v) = 5*s(v) + 2*y(v). What is m(r(c))?\nAnswer: -145924*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8020 - -54139. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/7 or 12?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + p - 5 = -p, -3*p = -3*l - 6. Suppose -l + 7 = b. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, y: 16}. Give prob of sequence ay.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Suppose 15 = 5*l, -3*l = -f - f - w. Let t be (1*-2)\/(f\/(-3)). Solve 3*u = -t*k, 0*k + k = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 17. List the prime factors of y(20).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/6 (b) 3 (c) -1 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + m + 0*m)*(-20*m**2 - 872 + 872).\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 1. Let f(i) = -4*i + 2. Let a(r) = f(r) + 5*s(r). Let v be a(-5). Find the third derivative of x**2 - 2*x**3 - x**v + x**2 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 12*k. Suppose 0 = -3*b + 8 + 4. Let n(p) = -5*p. Let s(g) = 69*g. Let o(z) = b*s(z) + 54*n(z). Determine v(o(d)).\nAnswer: 72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.04, -0.1, 0.3, 0.1, -5, -2\/27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p - 5. Let s = -55 - -61. Let j(d) be the third derivative of 7*d**4\/24 + 11*d**3\/6 - 9*d**2. Give s*j(l) + 13*r(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 34*p**2 - 71*p - 32. Calculate the smallest common multiple of u(36) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**3 - 175*a**2 + 6460*a - 12180 = 0.\nAnswer: -58, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2101302202112 + 11?\nAnswer: 2101302202123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/34)*y\/y**(-5\/9))\/(y**(-37)*y*y**(-24)) assuming y is positive.\nAnswer: y**(19151\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -158613, -1268854, -4282365, -10150782, -19825741?\n\"Answer: -158606*v**3 + v**2 - 2*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**2\/8 - 1378149*j\/4 = 0.\nAnswer: -918766, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*s*w**2 - 73*b**3*w**2 - b**2*s*w - b**2*s - 4*b*s*w**2 + 2*b*s*w - 3*b*w**2 wrt b.\nAnswer: 6*s*w**2 - 438*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {j: 1, p: 1, l: 1, i: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0 (b) 1\/7 (c) 2\/39 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 149, 589, 1325, 2363, 3709?\n\"Answer: x**3 + 142*x**2 + 7*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 7*j - 5. Determine u(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -139*f + 689. Determine o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 - 7 = 0, 4*x + 3*r = 0. Solve 2*z - x*z + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**0)**4*t**6\/(t*t**(-8\/5)*t) assuming t is positive.\nAnswer: t**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/96 - 187*y**3\/48 - 2966*y. Factor b(g).\nAnswer: g*(g - 187)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (0 + -6*(0 + (sqrt(1100) + -1 - sqrt(1100))) + -4)*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) - 332\/(-249). Let p be (18\/42 + 3\/(-7))\/2. Solve -6 = -p*a - g*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 7*v**2 + 2*v + 37. Give m(6).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.2? (a) -2 (b) 381 (c) 5 (d) 2\/7 (e) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 49019.26ng?\nAnswer: 0.00000004901926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07241 or 0.2863?\nAnswer: 0.2863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/4 (b) 15 (c) -2\/9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 - 183. Let i = l + 86. Suppose 84*s + 45 = 89*s. Calculate the greatest common divisor of i and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66477394 divided by 420743.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35942895*l**2 - 78798084 wrt l?\nAnswer: 71885790*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18.6 and 190651.41.\nAnswer: 190670.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-16450)\/(-10575)*(-18)\/(-4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.31 + 6.31. Sort m, -1\/4, 1\/7, -681, 2 in descending order.\nAnswer: 2, 1\/7, m, -1\/4, -681","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177*15.4278\nAnswer: -2730.7206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, -3, 1, 53, -6, -1 in decreasing order.\nAnswer: 53, 21, 1, -1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12996 and 10508634.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4947066?\nAnswer: 2, 3, 274837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-55)*11 + -13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-11)*t)**(-2\/69)\/((t*((t*t**(7\/2)*t)\/t)\/t)\/t*t)**(11\/4) assuming t is positive.\nAnswer: t**(-7039\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*4\/(-12) - 1)*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 3*k - 6 = 0, 30*d - 8*k + 23 = 29*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-14))\/(135\/(-210)). Is t > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4115 * 0.01.\nAnswer: 0.004115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 464*q + 3. Let r(t) = 14*t - 4. Give g(r(z)).\nAnswer: 392*z**2 + 6272*z - 1821","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -288 + 288. Let z(n) be the first derivative of 4\/3*n**3 + 0*n**2 + a*n**4 + 0*n - 2\/5*n**5 + 5. What is the third derivative of z(l) wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z + 51. Let h be (3\/(-2))\/((-12)\/(-40)). Let o be u(h). Suppose 107 = 5*q + 37. What is the greatest common divisor of o and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 28227*i**4\/8 + 97*i**3 + i**2 + 156*i. Factor w(y).\nAnswer: (291*y + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19804.\nAnswer: 2, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Let m(n) = -4*n**3 - n**2 + 7*n + 3. Let f be m(-1). Which is the fourth biggest value? (a) f (b) j (c) 1\/6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*t**4 - 13 - 2825448*t**2 + 2825449*t**2 - 2*t - 6926*t**5 + 12*t + 4*t**4 wrt t.\nAnswer: -415560*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246584037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 206, 413, 622, 833?\n\"Answer: u**2 + 204*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 560, 2251, 5068, 9011, 14080, 20275?\n\"Answer: 563*x**2 + 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 0*g + 2*g + (5 - 5 + 2)*(3*g - 4*g + 0*g) - 2*g + 2 - 2)*(-14*g + 10*g - 7 - g**2 + 3*g) in the form k*g**2 + z*g + n*g**3 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(6435\/(-240))\/39.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202122100 (base 3) to base 16.\nAnswer: 3ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 70 = -2*g + 248, 4*l - 156 = -5*g. Calculate the remainder when l is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-2 + -1 - (-159 - -148))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i + 302. Calculate w(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, and 1 h when three letters picked without replacement from uuuhhuuuuguwuuu.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-139581)\/1246685 + 4\/190.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 643 - 3445046?\nAnswer: -3444203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4004 = -4*l - a, 729 = 3*l + 5*a - 2257. Suppose l = 5*k + 422. What is the remainder when k is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (11 - (4 + -1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 17370*p**3 - 1. Is k(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4270 and 2135?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43630, 174510, 392686, 698194, 1091070?\nAnswer: 1571350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 41*f - 285. Let q be w(7). Let d(s) = -21*s**3 - 5*s**2 + 5*s - 5. Let o(z) = -10*z**3 - 2*z**2 + 2*z - 2. Give q*d(n) - 5*o(n).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 6 = -6*n, 4*m + 4*n + 8596 = 0. Let d = m - -3255. What are the prime factors of d?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122 + -3600?\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19512100967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4*-5683\nAnswer: -22732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33\/5 in -279, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -32 + 22*a + 55 + 41 + 4*a**2 - 2*a**2. Let c be f(-6). Solve -p - 3 - 7 = -2*i, c*p + 7 = -3*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 335.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6469241*t**2 - 12*t**3 - 6469241*t**2.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 + 126. Suppose -g*c - 804 = -7*c. Is c a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1881995 is divided by 9602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.75 + -45.464. Round f to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3561785742 to the nearest integer?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, g: 5, o: 1, s: 1}. Give prob of picking 1 s and 1 g.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1777231760 to the nearest integer?\nAnswer: 42157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4\/6 - 2462*c**3\/3 - 993640*c**2 + 123017848*c\/3 - 234092312\/3 = 0.\nAnswer: -2482, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922320997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koo when three letters picked without replacement from kiohvhf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5770 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + o = -31786, 2*h = -o + 17073 + 4111. What are the prime factors of h?\nAnswer: 2, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -4755.\nAnswer: -43\/4755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128702 and 1218?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000001001100100010 - 1011101?\nAnswer: -1011000001001101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**4\/4 - d**2\/2 + 6*d. Let i be 1 - (0 + 1 - 2). What is g(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 292*a + 2630. Let r be b(-8). Calculate the greatest common factor of 3969 and r.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/7)*v\/(((v\/v**4)\/v)\/v)*(v*v*(v\/(v**(3\/4)\/v))\/v*v)\/(((v\/(((v\/v**(-1\/4)*v*v)\/v)\/v))\/v)\/v*v) assuming v is positive.\nAnswer: v**(139\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.42*0.98.\nAnswer: 1.3916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkhwhhabbfbhbbfbwkkh. Give prob of sequence kaw.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 + 21)*(-2*p - 2*p + 6*p)*(0*p - 52 + 60 - 2*p).\nAnswer: -132*p**2 + 528*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 4*t + 4. Let h = -13 - -15. Suppose h*f - 16 = -6. Calculate l(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 145530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*u - 13*u**3 - 32*u**3 - 28*u - u**4 - 107*u**3 - 148*u wrt u?\nAnswer: -12*u**2 - 912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217353313\/2770 + (-2)\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 3, 1\/2, -1, -4\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**2 + 543616*u - 362408.\nAnswer: -2*(u - 90602)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 - 8*n**2 - 21*n**2 - n**2 to m*n**2 + k*n + w and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (10 - -4) - 28) + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 43, -0.5, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -5 (c) -5\/7 (d) 98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 7. Suppose y = -3*o - y + 4, x*o - 4*y = 8. Is (421 - -1)\/(4\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/3 + 97150112*u\/3 - 485750660\/3.\nAnswer: 4*(u - 5)*(u + 24287533)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*y = -3, 5*r - 140 = -4*y - 129 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 286*p**2 + 832*p - 1120.\nAnswer: 2*(p - 1)*(p + 4)*(p + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - 80.12. Sort t, 2\/19, -1.\nAnswer: -1, t, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + i + 2*i - 14, 8*l + 8*l - 20*l + 393*i - 810 = -7*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.37 - 3.63. Which is the closest to p? (a) -0.5 (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2660 + 3?\nAnswer: 2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + z**3 - 9*z**3 - 3*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 6) in base 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*q**5 - 140*q**4 + 215*q**3 + 210*q**2 = 0. Calculate q.\nAnswer: -2\/3, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 9*b + 9. Let h be y(7). Let j = -49\/2 - -206\/7. What is the common denominator of ((-255)\/72)\/h - 0\/(-2) and j?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-5)*8)\/((-1395)\/(-100) - 14). What is the greatest common divisor of b and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0265502637 times -5?\nAnswer: 0.1327513185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 1, r: 2, j: 4}. What is prob of sequence nnoj?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8*(-64)\/12. Let u = 70 + -629\/9. Which is the second smallest value? (a) -3 (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3. Let f(g) be the second derivative of -g**5\/120 - g**4\/24 + 11*g**3\/6 - 18*g. Let k(z) be the second derivative of f(z). Determine -3*k(r) - p(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-20)\/(((g*g**(-1\/7)*g)\/g)\/g) assuming g is positive.\nAnswer: g**(-139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, -71, -0.1, 3, 1, -645 in decreasing order.\nAnswer: 3, 2, 1, -0.1, -0.3, -71, -645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 14 = -2*i - o, 5*i = -3*o - 7. Let r be (5 - -1)*i + -2. Let z = 13 - r. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 190820?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -124. What is the greatest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 0*c - 677*k = -8144, 31 - 24 = 2*c + k - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4402198*j*q**4 - 12*j*q**2 + 336159387*j*q wrt q?\nAnswer: 52826376*j*q**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 77\/21 + 116\/(-3). Let s = h - -32. Let v(d) = d - 5. Calculate v(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -19*s**3 + 6292*s**2 - 997*s + 1325. What is v(331)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-23)*o**(-19))\/(o**(-9)\/o*o*o**(-7)) assuming o is positive.\nAnswer: o**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + -73. Let w(m) = -m**2 + 11*m - 23. Let r be w(6). Let i(t) = 24 - 12*t + a*t + r*t. Give i(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(-2*sqrt(5)*-1) + (sqrt(171) + -3 + sqrt(171))*-5.\nAnswer: -59*sqrt(19)\/2 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y. Let p(d) = -124*d + 3. Let t(j) = 289*j - 7. Let w(x) = -7*p(x) - 3*t(x). Calculate k(c) + 2*w(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -430260 (base 7) in base 13?\nAnswer: -27c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7 + 55847*m - 155680*m - 154931*m.\nAnswer: -254764*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -116, -228, -340, -452, -564, -676?\n\"Answer: -112*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 w, and 1 l when four letters picked without replacement from uujlejwwwfjf.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + (0 - 3))\/1. Let t be -1*4 + (-99)\/(-11). Suppose 29 = -12*q + t. Do x and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 4*f**2 + 4*f**2)*(-4 - 1 + 5*f - 49*f)*(-2 + 2 - 2*f).\nAnswer: 88*f**4 + 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 + 5*i - 1. Let k(g) = -11*g**2 - 60. Let w(l) = k(l) + 5*q(l). What is w(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxxxnxxcncxx. What is prob of picking 1 c, 1 x, and 2 n?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -4*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -797207, -797223, -797239, -797255, -797271?\n\"Answer: -16*j - 797191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grrsymxy. What is prob of sequence gy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-3 - 2 - 3)*(1 - 1 - 1)*((5 + f - 5)*(-3 + 3 + 2*f**3) - 3*f**4 + 6*f**4 - f**4 + 5*f**3 - 5*f**3 + 5*f**4).\nAnswer: 216*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.158 (c) -5 (d) -0.3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202210122 + 110?\nAnswer: 2202211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*y = 0, 2*y = 531*a - 534*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -81270796, -325083173, -731437134, -1300332679, -2031769808, -2925748521?\n\"Answer: -81270792*o**2 - o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30093?\nAnswer: 3, 7, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 + 0.04. Suppose -m - 133 = 5*d + 22, 3*m + 2*d + 478 = 0. Let r be 4\/m + (-3)\/8. Sort 3\/5, v, r.\nAnswer: r, v, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171 + 209. What is the remainder when 71 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 12 - 12. Suppose f - 2*b = 10, 3*f + b - 30 = 3*b. Suppose 3*d = d + f. Solve w = -5*x + 5, 2*z - 2*x = d*z - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 108212398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 181*q - 651. What is b(13)?\nAnswer: 1702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -24. Suppose j - 5 = -b, -b + i*b = -2*j + 13. Suppose -206 = -j*w + 24. What are the prime factors of w?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 188090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 118.622 milliseconds?\nAnswer: 0.118622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - i = -1, 2*i - i = 4*m - 24. Suppose 3*b = b - 3*s - 20, -m*b = 5*s + 40. Sort -3, 1, b.\nAnswer: b, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547975845 divided by -9?\nAnswer: -60886205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/(-4))\/((-2)\/8). Suppose -4*b = -4*q + 28, -3*q + 4*q - 4 = -2*b. Is q at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*n**3*o**2*q**3 - n**3*o*q**2 - 10213*n*q**2 - 119*o**2*q**3 + o**2*q wrt q.\nAnswer: -930*n**3*o**2 - 714*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 6*p**2 + 60 + 2*p - 106 as l*p**2 + w + k*p and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -473 - 27?\nAnswer: -49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Suppose 0 = 2*z - 2, -20*q = -17*q + 2*z - 215. Calculate the remainder when q is divided by (-90)\/(-5)*(h + 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 265.00000668 - 265. Round l to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -753 or -1?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 21*z + 5*z. Let q = 2 + -3. What is the units digit of (z*q)\/((-8)\/512)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(252) + -3.\nAnswer: -3 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/972 and -7\/194461?\nAnswer: 189016092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(6*r - 2*r - 2*r) + r - r + r)*(-1 + 1 - r**2).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77120039 divided by -5.\nAnswer: 77120039\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 27 = 3*k, 5*n - 3 = -2*k + 48. What is the remainder when 26 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, -249, -251?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, g: 3, c: 3, w: 3, x: 2}. What is prob of sequence bggg?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 627657.282 seconds?\nAnswer: 1.037793125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 14. Let f = -29 - -57. Suppose 0 = -f*h + 29*h - u. Is 4 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1652*b - 57. Let s be m(-2). Suppose 9*c - s - 1559 = 0. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -94741 greater than -88448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*x**2 + 146*x**2 + 127*x**2.\nAnswer: 218*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from okboollllmbfobo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.608 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**5\/5 + 7*h**4\/20 - 2*h**3\/15 - 5. Factor i(f).\nAnswer: -f**2*(f - 1)*(5*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 11 = 22*l + 3*z, 0 = -4*l - z + 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 12*r**2 - 16*r - 34. Let g be o(-10). Suppose -q = -3, -210 = 5*x - 2*x - 2*q. Let s = x - g. Solve -a = 2*a - s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.058, 5\/7, 3\/4 in descending order.\nAnswer: 3\/4, 5\/7, 0.058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011011010111101001000011110 + 101?\nAnswer: -11011011010111101001000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/451, 7\/11 in descending order.\nAnswer: 7\/11, 2\/451, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5\/5 + 373984*c**4\/5 - 2992104*c**3\/5 + 2244256*c**2\/5 + 2992148*c + 1870080 = 0.\nAnswer: -93504, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**7\/28 + x**6\/10 + 9*x**5\/8 - 5*x**4 - x**3 + 36*x**2 - 2527*x. Determine g, given that y(g) = 0.\nAnswer: -4, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*s - 13, -3*a = -a + 5*s + 17. Let d = 17 + a. Solve -4*l = -d - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 6. Suppose 4*z + 2 + d = 0. Let a = -3 - -2. Which is bigger: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6472, 10840, 15202, 19552, 23884?\nAnswer: 28192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-3)\/((-9)\/3)). Calculate the remainder when (-4)\/(-6) + 5\/15*145 is divided by -2 - (-1 + v)*-19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 987, 2208, 3417, 4608, 5775?\nAnswer: 6912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d + 7. Let h = 31954 - 31953. Let s(n) = -n. Calculate h*x(u) + 4*s(u).\nAnswer: 3*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 y when three letters picked without replacement from jjyttjjjjjjjjy?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 9 + 19*j**2 - 9 + (17*j**2 + 14*j**2 - 7*j**2)*(1 - 1 - 2*j).\nAnswer: -46*j**3 + 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*b + 60*b - 8064 = 412*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 2*h - 2. Let x be i(4). Let w be ((-2)\/(-6))\/((-4)\/(-36)). Let j(k) = 1 + 6*k - 2 + 0*k + 5*k**2 - k**w. Give j(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/145964 and 29\/536900?\nAnswer: 215296900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9963 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**3 + x**2 + 2*x - 1. Let u be p(2). Let t = -52 - u. Put t, 0.06, -2\/11 in increasing order.\nAnswer: t, -2\/11, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 1628433068.\nAnswer: 1628433071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9313969 (base 10) to base 13\nAnswer: 1c11532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Let f = r + -2. Let z be 10 + (0 - (22 + -11)). Put f, -2, z in decreasing order.\nAnswer: f, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 + 0\/(6 - -1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*v**4 + v**4 + 7*v**2 + 2*v**2 wrt v.\nAnswer: 312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -2) + -23 + 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*w + 14, 4*w - z - 4*z - 4 = 0. Suppose 19177 = 4*h + 5589. Is h\/7 - w\/21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, 4695.23, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -52.9 and -12204.\nAnswer: -12256.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 8*k + 6. Let g be t(8). Let l(n) = 0 + n + 0 + g*n**2 + 0. Let s be l(-1). Solve -2*x = -3 - s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2640 = 4*b - 2024. Is 4\/(-14) + b\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0*w**5 - 1\/12*w**4 + 0*w**3 - 52*w + 0 + 1\/21*w**7 - 1\/30*w**6 + 67\/2*w**2. What is the third derivative of j(l) wrt l?\nAnswer: 120*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5049 or -72.4?\nAnswer: -72.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3741 - 1077 = -196*o - 114 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 54217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*o + 4*q, -4*o + 18 = -0*o - 2*q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1a2 (base 16) to base 6\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.48 and -1?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2*o. Let x(p) = -3*p**2 + 16*p + 3. Let g(h) = -h**2 + 5*h + 1. Let n(q) = 7*g(q) - 2*x(q). Let c(d) = -2*i(d) - 3*n(d). Determine c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 938 + 32 = i, 5*r + 4*i - 2419 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(847)) + 4 + -2 + -1*(sqrt(14)\/sqrt(2) + -4).\nAnswer: 8 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-913 + 910)\/(46\/20 + (-1 - 1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 - -1 - (1 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1361000 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 10. Let s = 22 - h. What is the least common multiple of s and (-4)\/(-3)*(64\/(-448) - (-129)\/21)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 404, 6, -5408 in increasing order.\nAnswer: -5408, 6, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 411.\nAnswer: -164.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2090*d - 18606 = -2104*d. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 90 = 7*d. What is the highest common divisor of d and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.78654 rounded to 0 dps?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - 9. Let g = c - -8. Let m = -21 - g. Is m at least as big as -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 32*y**4 + 2540*y**3 + 49588*y**2 - 32960*y - 19200 = 0.\nAnswer: -40, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 288701 or 288706?\nAnswer: 288706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -945 - -1713. Round o to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 31*x**2 + 385*x**5 + 3*x**2 - 384*x**5 + (-2 - 2 + 1)*(-4*x + x + 5*x)*(x**4 + 3*x**4 + x - x**4).\nAnswer: -17*x**5 - 34*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, -12, 187, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 1:12 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -45*k + 1085. Let p be r(24). Sort 16, 1, p in ascending order.\nAnswer: 1, p, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 59*s + 531. Let z be j(11). Solve 2*x + 4*y - z = 5*x, 3*x - 3*y = -6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1, -1\/3, 4 in decreasing order.\nAnswer: 4, -1\/3, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 60\/11, -0.3, 1\/3, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 1105 + 0*a + 1105.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -562136, -1125264, -1688392, -2251520, -2814648?\nAnswer: -3377776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from qopqqskpppopdosqpp?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 95\/(-10))*-2. What is the second derivative of 3*k**4 + 38*k**4 - w*k**4 - 29*k wrt k?\nAnswer: 312*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14048546 or 14048588?\nAnswer: 14048588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and ((-6)\/9)\/((-28)\/126)*2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 31\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(3*b**2 - b**2 - 5*b**2) + (-6 + 6 + 8*b)*(4 + 1 - 2)*(-3*b + 0*b + b).\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 6) to base 13\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 2*m**5\/5 - m**4\/12 + m**3\/6 + m**2\/2 - 5*m. Let z be i(2). Let o = -2 + 9. Calculate the highest common divisor of z and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 530\/77?\nAnswer: 530\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.7? (a) -8\/23 (b) -33\/7 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -15*j. Let h(b) = 2*b**2 + 16*b + 5*b**2 - 31*b + 15*b. Determine h(z(c)).\nAnswer: 1575*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzx when four letters picked without replacement from zxzz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*s + 0*s - 2*s)*(4*s - 7*s - 8*s - 3) as j*s**2 + a + z*s and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbflbkbbbvvf. Give prob of sequence fblv.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15025 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 375126 and -847.3678.\nAnswer: 374278.6322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -253*f**7\/210 - 77*f**4\/24 - 70*f**2 - 2*f. What is the second derivative of q(k) wrt k?\nAnswer: -3036*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2258397 (base 10) to base 4\nAnswer: -20213113131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1955576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 35, 32, -1, -6 in ascending order.\nAnswer: -6, -2, -1, 32, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-510)\/1700*(-27)\/(891\/(-7370)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -49\/225?\nAnswer: -49\/225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = 0. Suppose 2*t + 0 - 4 = n. Solve -20 = 4*b, 2*b + 1 + 3 = -t*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/9, -1\/3, 3\/8, -5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2365 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiuis. What is prob of sequence su?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.421 + 0.221. Let j = -1.59 + s. What is j rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 28 = -4*h, -5*r + r + 26 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 20*t + 13. Let y(l) = -7*l - 4. Let u(j) = 7*j + 4. Let k(b) = 6*u(b) + 7*y(b). Let c(g) = -21*k(g) - 6*n(g). What is the units digit of c(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -12*g**2 - 2085. Let z(s) = -12*s. Give -5*y(t) + 9*z(t).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**9*g**2 assuming g is positive.\nAnswer: g**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 1. Let d(o) = -o**2 + 6*o - 6. What is the remainder when d(3) is divided by (-5)\/(-2) - g\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-16))\/(118\/944).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j + b - 2, 14 = 3*j + 2*b. Let h = 20 - j. Suppose -3*k = u + k - 48, 0 = 3*u - 2*k - 186. What is the highest common factor of h and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -78 + 35 + (-1 - -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 2, -4, -3, -14 in descending order.\nAnswer: 2, -3, -4, -14, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 2557 and 2583 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 not equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/2 - (4 - 4). Suppose 2*u - h + 4*h = -l, 3*u + 3*h = 0. Let g = 23 - u. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*m + 6 + 466, q = 4*m + 972. Let r = 256 + m. Put -16, 3, -4, r in decreasing order.\nAnswer: r, 3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6101332\/10397835 - 6\/11003. Let z = -1\/210 + 37\/1890. Let f = z - s. Which is greater: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -551 bigger than -556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 62\/7 - (-22)\/154. Solve 6*t = -5*o + z*t - 6, -t + 9 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146590*i**3 - 146402*i**3 - 91*i + 91*i.\nAnswer: 188*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 1. Let j be k(6). Let v = j + 10. Let d = 19 + v. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8*o = -10*o + 565, -4*o + 20 = 0. Solve 115*l - 24 = x*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/9 and 41\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + (-11)\/3*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4 - 5810*v**3 + 8444833*v**2 - 16872240*v + 8433216 = 0. Calculate v.\nAnswer: 1, 2904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 4, v: 1, o: 12}. Give prob of sequence vo.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 558 - 390. Suppose -4*m - 4*s = -d, -2*m - 2*s = 3*m - 198. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1097.51564 to the nearest 10.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/5 - 169*s**2 + 8825*s - 111875 = 0. What is s?\nAnswer: -895, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -1\/10*x**6 - 13*x**2 + 0*x + 0*x**5 + 0 - 1\/24*x**4 - 1\/6*x**3. Calculate the smallest common multiple of 46 and z(-1).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 20. Suppose 568 = 4*d - 4*w, c*d + 7*w - 582 = 4*w. Suppose 2*q - 196 = -3*t - 0*q, -2*t + 2*q = -d. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-49)\/(-147) - (44\/(-12) + 2). Solve -t - 4*g = p, 18 = -t + 5*t + 3*g for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 100 = -30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 = 4. Suppose 22 = -n + 28. Let m = a - n. Solve -4*q = -3 - m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7402*o**2 + 37747.\nAnswer: 14804*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (60\/7)\/((-148)\/(-15540))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-2)\/(-4))\/((-636)\/3816)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and (-119 + 32)*22\/(-3).\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14\/15 - 3\/5. Let x(m) be the first derivative of j*m**3 + 0*m + 1\/3*m**6 + 0*m**5 + 1 + 0*m**4 + 0*m**2. What is the third derivative of x(c) wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgjfvfkm. What is prob of picking 1 m and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4231, -5, -2 in decreasing order.\nAnswer: -2, -5, -4231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 16 - 9 + 11*d**2.\nAnswer: 12*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 410890.\nAnswer: -21\/410890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 6. Let p(g) = g**3 - 7*g**2 - 5*g. What is the tens digit of p(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6*426\/284?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3968739)\/(-81))\/19 - 6\/(-27)?\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 3)\/(2\/4). Let j be (2 - -1) + -3 + 2. Find the third derivative of -3*g**2 - 4*g**6 + g**z + 0*g**j wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**3\/3 + 4*y. Let k(c) = 3*c - 3*c - 2*c**2. Determine k(n(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (14 + 2 + -3). Let z be 7\/((-14)\/(-20))*d\/(-2). What is the greatest common divisor of 450 and z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -28*y - 306. Let p(n) = 22*n + 310. What is 4*p(i) + 3*q(i)?\nAnswer: 4*i + 322","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 610 - 603. What is the closest to x in -0.6, -1\/3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -37*p - 136 + 54 - 234 + 100 - 185. Let u be z(-11). Solve -u*i = -7*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2204102344 (base 5) to base 11.\nAnswer: 27573a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.5 rounded to zero dps?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/17 - 446*w**4\/17 - 34026*w**3\/17 - 1036322*w**2\/17 - 720820*w - 2529600 = 0.\nAnswer: -85, -31, -16, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 361615205 + 2?\nAnswer: 361615210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5997905 is divided by 5202.\nAnswer: 5201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5189 + -5184. Let j = -0.058 + -0.042. What is the fourth biggest value in 2, 1\/9, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1792 + -1796. What is the smallest value in 0, 1.26, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 + 122a38?\nAnswer: 122a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 142 + -105?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 304941\/6988466782 - 2\/248753. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 286\/231 - (-6)\/14?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-2) - (3 - 0). Let p be 2 - (0 - y) - -12. Suppose -p = -l + 4*v - 2*v, 88 = 5*l + 2*v. What is the remainder when 28 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * -0.09.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -292 divided by -146\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 4963?\nAnswer: 39704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q - 6*q)*(q**4 + 2*q**4 - 2*q**4) + q**3 + 6*q**5 - q**3.\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8184.28 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233222 is divided by 7772.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 21*g**2 + 12*g + 1. Let o(v) = -65*v**2 - 39*v - 2. Give -2*o(h) - 7*u(h).\nAnswer: -17*h**2 - 6*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + x - 6. Let q be t(-3). Suppose q = 2*w + n - 3 - 3, 0 = 2*n. Suppose 438 = -l + w*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 5*b + 1. Suppose 0 = -l - 88 - 11. Let s be (-3)\/(-5) + l\/15. What is the units digit of c(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -12 + -4 + (-13 - -17) + -36 + -1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-5 + (3 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 19*u + 3325. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -443 - -646. Let n = f + -120. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 438.99999212 + -439. What is g rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29945*l**2 + 105*l + 6463739 wrt l?\nAnswer: -59890*l + 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgvpppggggkvgg. Give prob of sequence pgvp.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 419766?\nAnswer: 419766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 + 26384*w**2 - 52767*w + 79150\/3.\nAnswer: -(w - 79150)*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 607472422 to the power of 1\/2, to the nearest integer?\nAnswer: 24647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = 0, -5 = -3*x - 5*i + 5. Suppose 453 = 3*w + 3*d + 174, -x*w - 2*d + 462 = 0. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/19720 and -33\/400.\nAnswer: 197200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/5, 0.2, 2\/137?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18253 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -24. Calculate the greatest common factor of s and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1, -0.4, -11, 8.6 in increasing order.\nAnswer: -11, -1, -0.4, 2\/3, 8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5*g - 180000. What is g rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from ffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - -17 - -53 - (-1 + 52).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/5 - 122*y**3\/5 - 4*y**2\/5 + 488*y\/5 = 0.\nAnswer: -2, 0, 2, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5355.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 4. Let a be (-40)\/(-12) - (-6)\/9. Suppose 28 = 5*u + 2*r, -2*u + 34 = 3*u - a*r. Calculate the remainder when n(u) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -16. Let a = s - 19. Suppose -5 = -5*f - 0*f. Which is bigger: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2129363*b + 27681706. Determine f(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2087, -1939, -1791, -1643?\nAnswer: -1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i, 3*q = -2*q - 3*i + 375. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192*p**3 - 2884*p - 680303 wrt p.\nAnswer: 576*p**2 - 2884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20640 = -121046*u + 121286*u for u.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 5*w + 5. Let r(q) = q**2 + 4*q - 4. Let a(p) = -5*o(p) - 6*r(p). Suppose 12*g - g - 11 = 0. What is a(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21479 = 5*d + 4*q + 478520, 199994 = -2*d - 3*q. Let m be (-12)\/(-8) - d\/(-2). Round m to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 515 or 514?\nAnswer: 514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 692*h**2 - 449*h - 310712. Calculate n(-692).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/28260 and -53\/6280.\nAnswer: 56520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-62844)\/(-48))\/(7*6\/336)?\nAnswer: 2, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y = y + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 3.21?\nAnswer: -6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -24*c. Let x(a) = 2*a**2 - 16*a + 9*a + 7*a. What is f(x(r))?\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 233 + -3?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27, -24, -9, 24, 81?\n\"Answer: h**3 - 4*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028264848 rounded to seven dps?\nAnswer: -0.0028265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -w + 2*g, -35 = 5*w - 0*w + 2*g. Let x(o) = 99*o**2 + 8*o + 5. Let s be x(w). Suppose 0*j = -4*j - s. What is j rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 4*j + 3. Suppose 14 + 4 = 2*y. Calculate the remainder when h(-4) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -59*t + 1. Let w be f(-1). Let l be (-50)\/(-4)*216\/w. Suppose 47*o - 96 = l*o. What is the highest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*z**3 - 164*z**3 - 117*z**3 + 4 + 436*z**3 - 4.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - p**4 + 4*p**5 - 4*p**5 + 5*p**5 - 3*p**5 + (4*p - 2*p - 4*p)*(0*p**4 + 2*p**4 - 4*p**4).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 31 = -0*b + 2*b, -2*u + 79434*b - 79450*b = -258 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 211948, 211936, 211912, 211876?\n\"Answer: -6*x**2 + 6*x + 211948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -9, 41, 111, 201, 311, 441?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i - 5*i - i)*(0 - 1 - 2) - 4*i + 2*i + i)*(-8*i + 3*i**2 + 8*i).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7076, 14283, 21488, 28691?\nAnswer: 35892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -16 + 12 + 2 + 15*s + 5 - 13*s. Let v(a) = -5*a - 8. Suppose -5*j + 0*y + 59 = -2*y, 4*j - 54 = 5*y. Determine j*w(c) + 4*v(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q**2 + 6*q. Let h(m) = 8*m**2 + 7*m. Let r = -16 - -42. Let a be 80\/(-25) + 4 - r\/(-5). Calculate a*b(l) - 5*h(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21649171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3531*c - 3537*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545 (base 10) to base 4.\nAnswer: 20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17280*i**2*v**2 - 9*i**2*v + 27*i**2 + i*v**2 + 5*i*v + 8007*v**2 - v wrt i?\nAnswer: -34560*v**2 - 18*v + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(896\/882)*64\/12?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1152 and 972414.\nAnswer: 62234496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 + (-34 - 91) - (2 + -78).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 277 + -165. Let p be (720\/200)\/(2\/10). Suppose p*n = 4*n + f. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s, 0 = -4*f - 2*s - 3*s - 8. Let a(o) be the third derivative of -169*o**4\/12 + o**3\/2 - 18*o**2. Is a(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -84, -141, -198, -255?\n\"Answer: -57*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*n**3 + 655*n**3 + 1229*n**3 - 284*n**3 - 541*n**3.\nAnswer: 1474*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8957970722 - 1728892707689\/193. Let f = 22582 + z. Find the common denominator of f and -1\/8.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**9*h**(1\/2))\/(h\/((h*h*h\/h**8)\/h)*h**(-1\/5)))**(9\/8) assuming h is positive.\nAnswer: h**(243\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -16. Let g be l\/12 - 18\/(-24). Suppose 277 = g*a - r, 0*r - 3*r - 361 = -4*a. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 318. Let b = 535 - f. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 42951?\nAnswer: 8\/42951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*l + 7 + 57 = 0, 8*l = -2*f - 7*f - 2*l + 14*l - 66 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {l: 4, u: 2, o: 2, c: 1, n: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (582825\/(-494))\/25 + -5 + 52?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*z - 4*z, -z = -3. Let 23*b + 12*b**2 - 4*b**4 - 27*b - j - 4 + 4*b**3 = 0. What is b?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 619 - 619. Let q(y) be the third derivative of 29\/120*y**6 + z*y + 30*y**2 + 0*y**3 + 0*y**4 + 0 - 43\/60*y**5. Find the third derivative of q(v) wrt v.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 23590?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25, -42, -47, -34, 3, 70, 173?\n\"Answer: w**3 - 24*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnwj when four letters picked without replacement from jswsjnfsjssssnjs.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130 + -113. Let c = 12 - a. Let l = -0.06 - 0.05. Sort -4\/3, -2, c, l in decreasing order.\nAnswer: l, -4\/3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/11)\/1 - (-4)\/22. Suppose 0 = -7*w - t*w + 28. Suppose -5*k - 650 = -5*l, -l + w*k = 2*k - 130. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l + 6. Let b(a) = 4*a - 4. Let x(q) = 5*q - 5. Let j(k) = -6*b(k) + 5*x(k). Let s(t) = -6*j(t) - o(t). Let w(v) = -3*v. Give 2*s(f) + w(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r - 5. Let j be k(2). Let b(z) = -z + 3. Let m be b(j). Let n(u) = -20*u - 51. Let q(y) = -7*y - 17. Let w(h) = 6*n(h) - 17*q(h). What is w(m)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 13*k**2 + 14*k + 6. Let m be d(-14). Is (3\/5 - (-80616)\/15) + m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 5. Let u(y) = 2*y + 11. Suppose 2 = -2*i + 3*i - 5*k, 0 = 3*i - 3*k - 6. What is i*u(j) + 5*h(j)?\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -184 (b) 38 (c) -5\/3 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-4) - 13)*2 - -35.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/96*8\/12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k + 268. Let u(f) = 8*f - 272. Let s(i) = 3*j(i) + 4*u(i). What is the first derivative of s(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(36\/16 - -1). Let b be -3 - (-2 + (q - 1)). Let v = 3 - -2. Solve 0 = -v*o + b + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 2. Let a(h) = -h - 1. Calculate 2*a(g) + c(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + ((sqrt(96) + sqrt(96) + sqrt(96)*2*3)*-4)\/(sqrt(1200) + (sqrt(1200) - sqrt(1200)*-1*3)).\nAnswer: -32*sqrt(2)\/25 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 2*t - 3. Let c(k) = k - 4*k - 5 + 1 + 4*k**2. Let q(g) = -g + 2. Suppose 4*f - 22 = 2. Let s be q(f). Give s*c(z) + 5*n(z).\nAnswer: -z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 198173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/((-115)\/23 - (-7)\/1). Suppose 6*p = g*p + 160. Calculate the remainder when 93 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 23.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 - 5 = 0. Let x = 5 - q. Solve -j + 12 = x*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*h - 34 = -113*h - 5*j, 0 = h + 3*j - 27. Solve -h*q + 4 = 5*x - 26, 3*x - 34 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -49) + -19 - ((11 - 0) + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 6*w - 23\/2*w**2 + 1\/2*w**4 + 0.\nAnswer: w*(w - 1)**2*(w + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cijwzzwjwjiiy. What is prob of picking 3 w?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65402247419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/26172 and -61\/25386840.\nAnswer: 25386840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-1292)\/(-16) + ((-6)\/(-8))\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 5*g**4\/24 - g**3\/6 - 9*g**2. Let y be b(-1). Let n(c) = -9*c - 2. What is the tens digit of n(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b - 12*b - 23*b in the form i + u*b and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 104627 = 21*k - 16*k, -5*w = 3*k - 62801. List the prime factors of k.\nAnswer: 17, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173 - 170. Sort -2, -15, g, 0 in increasing order.\nAnswer: -15, -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00236056299 to 7 decimal places.\nAnswer: 0.0023606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/75)\/(2\/(-55)). Let t(n) = -n + 5. Let b be t(6). Let y(k) = -4*k + 1. Let i be y(b). Is a equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r + 3. Let g be (44\/(-3))\/((-10)\/15). Suppose -5*k - 40 = -5*n, -4*k - g = n + k. Give a(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72405, -144759, -217055, -289287, -361449?\nAnswer: -433535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5694 + 5694.4. Which is the second smallest value? (a) 2\/7 (b) 0 (c) -5\/4 (d) s (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44663 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -223, 5, 0.7, 2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/34)\/(22\/24).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -6*i + 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 8, -3*z + 6 - 1 = -t. Suppose t = -4*g + 3. Let d(n) = 28*n + 220. Let m be d(-8). Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f - 3*f)*(0 + 2 - 3)*(2136*f - 891*f - 1066*f).\nAnswer: 1074*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81512 is divided by 728?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5528*s**3 + 3510*s**3 - 9037*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.13 + 3.03. Which is greater: -85 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4675\/(-15) + (-2)\/(-3). Let c = -301 - v. Solve y - c = 5*w, 0 = -3*y - 2*w + 5*w + 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5092*s**2 - 2745*s**2 + 5310*s**2 in the form y + u*s + d*s**2 and give d.\nAnswer: 7657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.47 + -0.23. Let u = -1.8 - h. What is the nearest to u in -0.4, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(13)) - sqrt(104)\/(sqrt(16)\/sqrt(2)).\nAnswer: -3*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 1 - 5. Do n and 12\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/13725 and 33\/610.\nAnswer: 27450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**5\/60 - 2*b**2 - 30*b - 3. Let x(h) = 11793*h. Give d(x(i)).\nAnswer: -139074849*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -20?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {c: 3, f: 2, l: 4, x: 1, d: 1}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29bb382 (base 12) to base 14\nAnswer: -11a2a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d - 1. Let q(g) = 2*g - 1. Give -14*q(l) + 6*t(l).\nAnswer: 2*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 - (-45 + (0 - -98)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 (base 9) in base 5?\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2750 + -1603. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2. Let q(i) = 280*i**2 - 3. Let b(k) = -130760*k**2 + 1400. Let d(y) = -3*b(y) - 1400*q(y). Calculate h(d(w)).\nAnswer: 156800*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = 30*j - 22. Suppose j*b - 7*b = 284. List the prime factors of b.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 402\/(-3752) + 8\/(-7) + 4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-1\/5)*y*y))**(1\/6)\/(y*y*y**(-2\/3)*y)**14 assuming y is positive.\nAnswer: y**(-989\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjdy when four letters picked without replacement from {y: 2, j: 1, d: 7}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 332.99 - 331. Let n = 0.99 - a. Let x = -3.5 + 3. What is the second smallest value in 0.6, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from zijimciecmje?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104844*s - 1 - 36611*s + 37317*s.\nAnswer: -104138*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbnknnnnstnynny. What is prob of picking 1 y and 1 b?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -102240.21 to the nearest 10.\nAnswer: -102240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + u + 4432 + 12095.\nAnswer: 2*u + 16527","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 158829200 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128058699?\nAnswer: 3, 2161, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11)*1 - sqrt(11))**2 - (sqrt(154)\/sqrt(7))\/sqrt(2).\nAnswer: -sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwzq when four letters picked without replacement from {q: 1, z: 2, w: 3, i: 4, a: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1728 and 48?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 5509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -13292?\nAnswer: 13297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2064914.10000046 + -2064914. Let y = 0.1 - 0. Let d = j - y. Round d to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 4*k - 10 = 0, 4*y - k = -4. Let f = 0 - y. Solve f*b + 2*b + 2 = -3*u, 2*u + 4*b = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9673\/5 - -1935. Solve 2\/5*a**2 + 0*a - n = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, o: 1, j: 11}. What is prob of sequence ojb?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7714 - 7719. Put 7, 3, 1, d, 2 in decreasing order.\nAnswer: 7, 3, 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11545 or 11552?\nAnswer: 11552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/5, 1\/195, -0.2, 0.2, 0.4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -0.6. Let u = 1008 + -1007. What is the nearest to 0.4 in u, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1130*t + 7805. What is v(-7)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 q, and 1 o when three letters picked without replacement from ppeoeipeieqloql.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74 - 24?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 8:57 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2. Let b(t) be the third derivative of -59*t**5\/15 - t**3\/3 - 3*t**2 + 5*t + 156. Determine b(v(a)).\nAnswer: -236*a**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-25) - 8889\/(-15)) + 3. Let z = 783 - w. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 7196675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 2*w - 7*w. Let m be (-4)\/(-6) + w\/(-6). Let q(r) = -4*r**3 + 2*r**2 - 3*r + 3. Let k(t) = -7*t**3 + 3*t**2 - 5*t + 5. Calculate m*q(v) - 3*k(v).\nAnswer: v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) -11288 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*n + 885544 = 5309*n + 4862*n for n.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**3 - 230*q**2 - 219*q?\nAnswer: -18*q - 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 11 + 3*x**2 - 12*x**2)*(2*x**3 + 3*x**2 - 3*x**2).\nAnswer: -18*x**5 + 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/7)\/((-9)\/9)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -10*k + 13*k, k - 10 = 2*b. Let z(y) = y**2 - y. Let t(i) be the third derivative of i**5\/30 - i**4\/12 + 2*i**2. Determine b*t(j) + 13*z(j).\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 867?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 366*o**2\/5 - 45009*o\/5 - 1107\/5.\nAnswer: 3*(o - 123)*(122*o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.3 (c) -0.107 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 567.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-137\nAnswer: -150.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39125712 is divided by 2889.\nAnswer: 2874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3085538*n**3 - 14914*n - 103 wrt n.\nAnswer: -18513228*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -26*(1 + 0 + -2). Suppose 131 - s = 3*w. Let j = 4104 - 4097. Calculate the greatest common divisor of w and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010111011000 + -1001110010111?\nAnswer: -101100101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooeooooe. Give prob of picking 2 e and 1 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c + -c?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 6*n + 3. Let y be g(8). Let h = -12 + y. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + -1 - sqrt(30)\/(2*sqrt(10)))**2.\nAnswer: -21*sqrt(3) + 1327\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75310, -150620, -225930, -301240, -376550?\n\"Answer: -75310*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -48, -16 in ascending order.\nAnswer: -48, -16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 91416 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-160))\/((-4)\/(-20))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -3) + 10 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 9*p - 7 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/6357 + -209797\/50856. Calculate the common denominator of u and 93\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 10304270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - -17.9. Let p = -14.2 + l. Let n = p - 2.80036. Round n to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*b = -7 + 87. Let o(r) = -16*r. Let w(c) = -c. Calculate b*o(v) + 5*w(v).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 13. Let a(f) = -3 + 20 - 4*f - 3. Let s(g) = -4*a(g) + 5*b(g). What are the prime factors of s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37827 is divided by 37801?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22 at least -7438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b + 2. Let w be 0\/6*2\/2. Suppose -z - z = w. Let x be 4 - 0 - (z - 0). Let f(m) = -5*m + 1. Give x*j(o) - 7*f(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.024, -0.1, 0.15, 1\/12, -12.\nAnswer: -12, -0.1, 0.024, 1\/12, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8593116?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/176*5\/30. Let w = 25\/132 + f. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11659.6 days?\nAnswer: 1007389440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3499 + -1843. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 2 + 1)*(-2*h + 0*h + h) + (2*h - h + h)*(-1 + 3 + 0) in the form y*h + t and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, w: 3, d: 2}. What is prob of sequence dwid?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*v - 145, 143 = 4*m + m - 3*v. Suppose 33 = m*q + 61. Let b(d) = -19*d**2 + d + 1. Give b(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 693336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98713525, -98713526, -98713527, -98713528?\n\"Answer: -d - 98713524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 3*h**3 + 6*h**2 - h**2 + 10*h**3.\nAnswer: 7*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 12:38 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/23517 + 185527\/47034. What is the common denominator of q and -81\/2738?\nAnswer: 24642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 96 - r**2 + 75 - 159 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3513\/(-21) + -2 - -2. Let o = g + 167. What is the biggest value in 3\/4, 0, o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.2186 to 1 decimal place.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204\/17 + 1*3 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/13 (b) 0 (c) 4 (d) -979 (e) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.065*46.\nAnswer: -2.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -403.17 take away -12612600?\nAnswer: 12612196.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, -31\/6, -0.03, 50, -5 in descending order.\nAnswer: 50, 2, 0.2, -0.03, -5, -31\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9666 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 14*l + 5. Let g be v(-7). Suppose -2*k + 5*k - 10 = u, 3*u - g*k = -10. Solve u*o + 3 = 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(10) + (sqrt(40)*2 - sqrt(10))))**2 + -3 - (-1 + sqrt(11)*-1 + sqrt(11) - (sqrt(11) + (4*sqrt(1584))**2)).\nAnswer: sqrt(11) + 405483\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22227 and 3969698.\nAnswer: 3947471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1890 and 6175260?\nAnswer: 18525780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqlnqyqnynnypp. Give prob of sequence qq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-263*x + 206*x + 146*x)*(14 + 8 - 8).\nAnswer: 1246*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10928 - 10929. What is the biggest value in -0.64, 13, x?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 852 and 1278?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20691 is divided by 20686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b**3 + 5*b**2 + 11*b - 11. Is x(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2850\/240)\/((-340)\/(-136))?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -174, -172, -172, -174?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 11. Let v be k(7). Solve -8*p = v + 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/879337 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 1841 = -2*t + 9*s, 2*t - 2*s - 1826 = 0. Calculate the highest common divisor of t and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -10. Let i = 0.01 - -1.09. Let y = 0.1 - i. Sort y, n, -0.1 in decreasing order.\nAnswer: n, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446316 is divided by 10867.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-540)\/(-34) + -12 + 2472\/204\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1153*a - 491 + 22406 + 16547 - 8484 = 0 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 19575 - 7*x - 19575. Let m(a) = 8*a. Give m(z(p)).\nAnswer: -56*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 9*y**2 + 16*y - 10. What is x(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5\/7 + 34*j**4\/7 + 86*j**3\/7 - 482*j**2\/7 + 80*j - 200\/7.\nAnswer: 2*(j - 1)**3*(j + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeq when three letters picked without replacement from tmeqetqm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4535486048 to three dps.\nAnswer: -0.454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -62. List the prime factors of 1 - (j\/2 - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + -59 + (79 - 3).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1828*q**2 + 4036*q**2 - 3 + 3.\nAnswer: 5864*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*c**2 + 22*c**2 + 45*c**2 - 75*c**2 in the form u*c + m*c**2 + h and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 18*v = 2*y - 672, -2*v + 1040 = 3*y. Let b = -329 + y. Let h(j) = j**3 - 14*j**2 - 14*j - 14. Give h(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9136134 divided by 651?\nAnswer: -14034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1296)*1 + sqrt(1296) + sqrt(1296))\/(3*sqrt(243)*-4 + sqrt(243) - sqrt(243)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21377, -86918, -196153, -349082?\nAnswer: -545705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 64?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 12365755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4 = -24. Solve q = t - 4*q - s, 3*t + 2*q = -19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 1 - 7*m**2 - m**2. What is b(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201 + 11?\nAnswer: 11212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9578 at least as big as -57461\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 1932996 and 1933099 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -275 + 218. Solve -x - 13*g + 18*g + 10 = 0, z*x = -g - 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514\/18 - 56\/84 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d - d)*(-4*d**2 - 2*d**2 + 5*d**2) - d**3 + 3*d**3 - 3*d**3 - 1 + 25*d**3 + 24*d**3 - 8*d**3.\nAnswer: 39*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/84*9\/(-10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1415 * -6030\nAnswer: -8532450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-18)*(-48)\/(-8). Let c = 10 - 5. Suppose 0 = c*a + 4*y + 2, 4*a + 5*y + 9 - 2 = 0. Solve 5*j + 5*u + 10 = 0, -a*j + w*u - 2 - 8 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f - 82. Let y be s(-10). What is the second biggest value in y, 2\/65, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14302140 (base 6) to base 3\nAnswer: -220220200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -257*(2 + 0)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2284.09um?\nAnswer: 0.228409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 11. Let g be y(-10). Suppose 0 = 3*l + 5*j + g, -3*l + 4*j - 4 = -7*l. Solve 2*u = -l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1322583, -2645164, -3967745, -5290326, -6612907, -7935488?\n\"Answer: -1322581*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 - 10*l**2 + 2*l + 6. Let u be k(5). Solve -4*v = u + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 7. Let i(n) = n + 5. Let k be i(z). Determine u so that 8\/7*u + 8\/7 + 2\/7*u**k = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5684340521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 j, and 1 g when four letters picked without replacement from jhkhkgkhjhhhghh.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -126, -276, -488, -762, -1098, -1496?\n\"Answer: -31*l**2 + 5*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.082 + -0.082. Let g = 43 - h. Let l = g - 45. Which is the biggest value? (a) l (b) 2\/19 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/6694219 and 85\/46?\nAnswer: 13388438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 1. Let w(j) = -j**2 + 2*j + 2. Let o be w(0). Let g(b) = b + 1. Suppose 7 = -4*n + 3. Calculate n*v(s) + o*g(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 + 20*r**2 + 34*r + 249. What is the remainder when z(-9) is divided by 41?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91521041 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i - 4*s + 857, -2*i + 4*s = -598. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 4*v**2 + 3*v - 6. Let k be x(-5). Let s be (k\/3)\/(1\/3). Suppose -y + 2*l - 125 = -6*y, s*y = -2*l + 102. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(396) + -2 + -1.\nAnswer: -2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*n = 13, 70*f - 5*n + 50 = 65*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/19 (b) 47 (c) 39.213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 479 and (-148)\/629*34 - 20\/(-1).\nAnswer: 5748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74414449*i**2 + 71672486.\nAnswer: 148828898*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 16*r - 13*r**2 - 11*r**2 + 8*r**2 + 16. Suppose -5*l + 13 - 3 = 0, 5*j = 2*l + 51. Let g(h) = -3*h**2 + 3*h + 3. Calculate j*g(v) - 2*w(v).\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 2*h)*(-92 + 352 + 301 + 194) - 2*h - 7*h + 0*h.\nAnswer: -1519*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*m + 59*m + 59*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/5, -34, -166, -189, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 0, 2\/5, -0.011?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -28\/53, -4, -1\/8, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5195.2 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + 63 + -68 + -64.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 - 0.35. Let s = -2282 - -2261. What is the smallest value in s, -5, 2, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2 = -f + 5*s, -f = -4*s + 23. Is 25035\/4 - (77\/28 + f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + q + 11. Let m(t) = -t**3 - 8*t**2 + 9*t. Let v be m(-9). Is d(v) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-138)\/24)\/(6\/48)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3)**(3\/4))**(-50)\/(u**(-3\/4)*u\/(u\/(u*u**(1\/2)\/u))*(u*u\/u**(1\/9)*u)\/((u*u*u**(-7))\/u)) assuming u is positive.\nAnswer: u**(-4361\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*r - r. Let h be 0\/(-2) + r\/(-8). Let v be (-4)\/(-8) + 1 + -1. Which is greater: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + 32131?\nAnswer: 32145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95401166 and 78926.\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-19)\/4)\/19 - 3\/(48\/(-148)). Solve 5*y + 0*q - 4*q + 27 = 0, c = 3*q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1427 + 12660. List the prime factors of v.\nAnswer: 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*b + 6. Solve 10 = -6*l + b*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60252 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 - 60*u + 2067\/2.\nAnswer: -3*(u - 13)*(u + 53)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from koqtukuquqyt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3103 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: What is the tens digit of 7291808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -116 + -11 + 7 + 58 + -8 + -27\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25142?\nAnswer: 2, 13, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4113396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {x: 11, n: 9}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2. Let r(p) be the second derivative of p**4\/4 + 350*p. Give q(r(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17243328 is divided by 5747685?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 11*a**2 - 47*a**2 + (2*a**2 - 4*a**2 + 0*a**2)*(3 - 6 + 4) in the form o*a + c*a**2 + k and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-11)\/(-3))\/11)\/((-21)\/(-18))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**23\/f*f)\/f*f*f**(-20))\/(f\/(f*(f*f*f\/f**(-16))\/f)*f**(-2\/27)*f*f))**(-2) assuming f is positive.\nAnswer: f**(-1084\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12467910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*w + 2*w - 120*w - 20*w to the form o*w + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 85 = -5*v + 1380, 3*s = 5*v - 1465. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36368 - 2.7?\nAnswer: -36370.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-10) + (-18)\/(-45). Let q = 1 - b. Suppose -2*z = -5*f + 724, 2*f + 5*z = -q*f + 278. What is the greatest common divisor of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 231*a + 2. Let t(u) = -694*u - 5. Let g(c) = 11*f(c) + 4*t(c). Is g(-1) 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) -0.2 (b) 2\/7 (c) -1791 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 931 + 2*a + 992 - 2855 + 932.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**2 + 6*h + 8. Suppose 0 = 8*q - 12*q + 16. Suppose -20 = 5*a + 2*y, q*y - 5 = 2*a + 3. List the prime factors of f(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 + (-5 + 8 - -10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*h - 18*h - 4711. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*q**2 + 10*q**3 - 28*q**3 - 16*q + 97*q**2)*(4 - 5 - 2).\nAnswer: 54*q**3 - 6*q**2 + 48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 12:22 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 220.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i = -4*c - 46*i - 3, 6*c = -i + 23 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/4 + 663*w**4 - 47497*w**3\/4 + 111981*w**2\/2 - 47368*w - 115896 = 0. Calculate w.\nAnswer: -1, 4, 11, 2634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjjv when four letters picked without replacement from {j: 2, v: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*x**5 - 5*x**5 + x**2 - 2*x**2 - 5*x**2 wrt x.\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7107907 or -7107913?\nAnswer: -7107913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2\/3, 12, 9, 3, 67, -0.5 in descending order.\nAnswer: 67, 12, 9, 3, 2\/3, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3353*v**2 + 3*v - 3. Let f be i(1). What is f rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 3. Let w(g) be the third derivative of g**4\/24 + 2*g**2. Let m(v) = -k(v) + 3*w(v). Give m(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 24 - 3*j + (3 - 6 + 7)*(4 + 2*j - 4) to the form u + o*j and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -26*y**2 + 18*y + 105 + 13*y + 8836*y**3 - 8837*y**3. Give i(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 = -3*h, 4*h = 2*h - 4*f + 26. Suppose 11 = 3*r + h*n + n, -3*n - 57 = -5*r. Calculate the remainder when r is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2150723 is divided by 177?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2186?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020314 to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373, 585, 855, 1207, 1665?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2218 + 3114. Is h a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -9 (c) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1195\/2 - -2399\/4. What is the common denominator of 8\/3401 and p?\nAnswer: 13604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0*k**2 + 6*k - 1\/2*k**3 + 0. Let r(i) = 4*i. Calculate r(y(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-28)*-8*7\/(-2). Suppose -v - 4 = -3*v. Is v less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1329486\/5 or -265897?\nAnswer: -1329486\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 372, -2\/7, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 3. Let i be ((-9)\/(-6))\/(1\/2). Let x be q(i). Suppose -2*v = -6 - x. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*sqrt(208)*1 + 1))**2*-4.\nAnswer: -29956 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = c + 6, 25090*g + 34 = 25071*g + c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3722, -3721, -3720?\n\"Answer: j - 3723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0*w - 3\/2*w**3 + 1\/120*w**6 + 0 + 7\/60*w**5 - 1\/8*w**4 - 9*w**2. Is i(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + p**2 - p - 4. Let r be w(0). List the prime factors of -1 + (-2)\/(r\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4974741346 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12140 greater than or equal to 12139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49633485 to the nearest integer?\nAnswer: 7045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.33223844 and -10?\nAnswer: 6.66776156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 292 + -0.23\nAnswer: 291.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.123 * 34\nAnswer: 38.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 100010000100?\nAnswer: 100010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(264)\/(sqrt(6) + sqrt(12)\/sqrt(2) + sqrt(6)) - (sqrt(539)*-1)**2*2.\nAnswer: -1078 + 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 131, 154, 183?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14052, 112559, 379942, 900639, 1759088, 3039727, 4826994, 7205327?\n\"Answer: 14073*i**3 - 4*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4556?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3362.12 to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 20622 - 20622.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -5, 0.52 in ascending order.\nAnswer: -5, -0.02, 0.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*r + 16 = 0, 5*p + 5*r = 2*r - 12. Suppose -3*c = -5*u - 2, 3*c + 2*u + 3*u - 22 = 0. Solve p = c*g - g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 139900000*o - 1223250625000000.\nAnswer: -4*(o + 17487500)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/2112 and -119\/960?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*k - 25, 3*k + 10 = -4*a - 4. Let y = a + 6. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**2 - 5*x - 11. Let p be c(5). Suppose 450 = -p*o + 10*o. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 552, 10223, -2 in ascending order.\nAnswer: -5, -2, 552, 10223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-27)\/1 - 6. Factor 9*y**4 - 17*y**3 + 11*y**5 - 8*y**5 - 9*y**2 - 6*y + j*y**3.\nAnswer: 3*y*(y - 1)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 170 + 282*a + 6059*a.\nAnswer: 6341*a - 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y**2 - 2*y - 2. Let k be f(-2). List the prime factors of -1 - 1*(-1 + k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a hour in minutes?\nAnswer: 2070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p - 1. Let y(i) = -15*i + 2. Let o(t) = -4*w(t) - 3*y(t). What is o(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -0.3, 5, 15677, -4, 5\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/45, 2, -4, -0.4, -243\/17, 8 in decreasing order.\nAnswer: 8, 2, -2\/45, -0.4, -4, -243\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f83 (base 16) to base 13.\nAnswer: -3897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 - 98. Suppose -136 = 5*w - 2*o, 11 = -4*w + 3*w - 5*o. Let r = w - l. Sort 3, 13, r.\nAnswer: r, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8205\/4 - -2067. Let p be 0 - ((-59336)\/3808 + (-2)\/7). Let g = n - p. Sort g, 2\/3, 1\/5 in descending order.\nAnswer: 2\/3, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12*m**3 - 2 - 3*m**2 - 2*m**2 - m + 0*m + 11*m**3 - 4*m. Determine q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 31*z**3 + 10*z**2 - 13*z + 13. What is the smallest common multiple of 25 and l(2)?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.17 - 15. Put 3\/2, u, -1, 3\/7 in decreasing order.\nAnswer: 3\/2, 3\/7, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 2*u**2 + 87*u**3 + 72*u**3.\nAnswer: 159*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39560 and 1720.\nAnswer: 39560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 0*v - v + 15*v + 13*v - 14*v + (-3 - 2 + 3)*(0*v - 3*v + 2*v) + (-2 + 0 + 1)*(4*v + 0*v + 0*v) to the form a*v + m and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**2 + 59*p + 10. Let u be q(12). Which is the smallest value? (a) 5\/6 (b) u (c) -0.3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*(l - l + 2*l) - 4*l - 5 + 5 - 2 + 2 - 3*l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50, 45, 40, 35?\n\"Answer: -5*h + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/40 and -17\/35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2826898, 5653730, 8480564, 11307400, 14134238?\n\"Answer: a**2 + 2826829*a + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/216 + 3\/24. Let -1\/5*a**2 + s*a + 0 + 1\/5*a**3 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 18*t)*(-t + t + t)*(8*t**2 - 8*t**2 + 12*t**3).\nAnswer: -216*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 + 11*s + 24. Let u be k(-8). Let t(c) = 9*c**2 + 2*c. Let p be t(-5). Let b = p - u. List the prime factors of b.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7553 + 7553 - 6295*h**3 + (1 - h - 1)*(4 - 4 - h**2) - h**3 + 7*h**3 - 4*h**3 + (3*h + h - 2*h)*(-5 + 5 - h**2).\nAnswer: -6294*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwywwwywwyyyywwyw. Give prob of sequence wwwy.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 135. Let n(f) = -2*f**3 - 7*f**2 + 24*f + 125. Let j be n(-4). Calculate the highest common factor of u and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, z: 4, n: 1, k: 3, r: 2}. Give prob of picking 1 n and 3 k.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53530 - 165?\nAnswer: 53332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/4 of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 18*o + 5*l - 98, 0 = -5*o - 4*l + 34. What is the greatest common divisor of o and 628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**2 - 23*l**2 + 9*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27179 is divided by 254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 28*r + 6. Suppose -60 = -2*w - 2*w. Let f be n(w). Let p = f - -371. What are the prime factors of p?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2974*d**2 + 123*d - 6. Is j(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + (81 - (85 + -13)) + 1 + -73?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 10*t - 252. Calculate the common denominator of 6\/(-21) - 2841\/t and 0 + (-171)\/12 - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/23, 0.7, 5, 9, 11.4?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -19531 smaller than -19534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 1603, 4460, 9785, 18400, 31127, 48788?\nAnswer: 72205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -20*p + 1. What is b(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, c: 1, w: 2, x: 2, k: 5, b: 4}. Give prob of picking 2 k and 1 c.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6477000 and 2159000?\nAnswer: 6477000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -515137?\nAnswer: -515134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208402.1 minutes to microseconds.\nAnswer: 12504126000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6191 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -19\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 156807*a*k + 4295089*a + 11*k**2 with respect to k.\nAnswer: 156807*a + 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/455)\/((-10)\/35) - (-112)\/5.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, 5, 2, -16.2, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -2843 + 3275. Calculate the remainder when 2645 is divided by j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-15)\/2))\/((-111)\/((-2220)\/16))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6952 - 1.0952. Put -3, 1\/112, f, -0.03 in ascending order.\nAnswer: -3, f, -0.03, 1\/112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r - 88 = 0. Let d = -24 - r. List the prime factors of ((-6)\/(-4))\/(3\/d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8700*v**3 + 22241*v**2 + 2*v + 73912788 wrt v.\nAnswer: 52200*v + 44482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + o - 346 + 349, -12 = -4*m + 5*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 970198 - -1.3626.\nAnswer: 970199.3626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/2788 and -22\/72573?\nAnswer: 11901972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 1880?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/6150332 and -11\/32042.\nAnswer: 227562284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-153) - (-216)\/680?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one eighths of a day?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (36 - 28) + 44\/(-8)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2799 + 684 = -9*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1316 + 7644 = 20*a. Calculate the lowest common multiple of 16 and (a\/21)\/((-2)\/(-6)).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -22, -38, -72, -130?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 82150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/4*398\/(-1393).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 456*a = 454*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*d**3 - 2)*(-2*d - d + d) + (5 - 2*d - 5)*(-6*d**2 + 6*d**2 + 3*d**3) + (32*d**3 - 164 + 164)*(d - d + d).\nAnswer: 22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 22252*x - 3167. Is z(27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.042 + 0.242. What is the closest to g in -1\/2, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i + 23. Let b be t(-5). Suppose -b*s = 3*a - 5 - 1, 0 = 3*a - 4*s - 13. Solve -3*n - 5 = -q, 4*q = -a*n - 0 + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 310, 597, 874, 1141, 1398, 1645, 1882?\n\"Answer: -5*g**2 + 302*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) 0.4 (b) 0.1 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -216*y + 19. What is x(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + r**4 - r**2 - 2*r - 6*r**4 + 3*r**4 + 2*r**4 + (0*r**2 + 0*r**2 + 2*r**3)*(0*r + r - 3*r) - 2*r**4 + 5*r**4 - r**4 + r**4 + r**4 - 3*r**4.\nAnswer: -3*r**4 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314*p - 321*p - 21 = 0. Which is the closest to -1\/4? (a) 5 (b) 0.1 (c) p (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12249132.\nAnswer: 2, 3, 7, 145823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102414 + -1?\nAnswer: 102413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**7)\/x**(2\/7)*(x\/x**(2\/7))\/x**(3\/5) assuming x is positive.\nAnswer: x**(274\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 5*h**2 + h**2)*(-52 + 26*h + 23*h - 51*h).\nAnswer: 10*h**3 + 260*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/48 and 133\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j. Let n(k) be the second derivative of k**4\/6 + 9*k. What is y(n(v))?\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**4\/12 + 2*q**3\/3 - 2*q**2 - 269*q. What is t(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*d**2 - 31*d**2 + 6*d**5 + (3*d**3 - 3*d**3 - 2*d**4)*(-3 + 5 - 4)*(-104*d - 11*d - 50*d).\nAnswer: -654*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011111000010100100 (base 2) in base 16?\nAnswer: -df0a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372*t + 3*g + 7752 + 853 = -4*g + 4*g - 16448 - 2384, 0 = g - 1 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by -18099\nAnswer: -35\/6033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (492\/(-8))\/((63\/12)\/7). Is -82 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/((-484)\/(-1064)) - 6\/(-33). Let a = r - -26. Let f(k) = -15 + 15 + k + k**a. Determine f(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 (base 13) in base 11?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 8*w**2 + 33*w - 34. What is the remainder when 501 is divided by p(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-134)\/(-6) - 4\/12. Suppose 4 = -3*j + 3*d + u, 4*j - 10 = -3*d. Is (134\/j)\/(8\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/38)\/(((-42)\/(-4))\/7).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1046 = t - 5*t, -2*d + 785 = 3*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 1\/7, -4, -15\/2, 2\/217 in increasing order.\nAnswer: -15\/2, -4, -3\/5, 2\/217, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -249b93?\nAnswer: -249b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuf when four letters picked without replacement from {u: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458*c = 630*c - 9288. Let b = 48 - -12. What is the smallest common multiple of b and c?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -8. Let v(j) = 3*j + 4. Let x be v(y). Calculate the greatest common divisor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-66))\/((-2)\/3). Which is the closest to 1? (a) -5 (b) 62 (c) -2\/7 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-73 - -74)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190587103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000951062 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)*1)\/sqrt(5) - sqrt(48))\/(1*sqrt(288)))\/((sqrt(96)\/(sqrt(6)\/sqrt(2)))\/((sqrt(48)*2 - sqrt(48))\/sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - -7.7. Let m = -9.8 + y. Which is the second smallest value? (a) -4 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*v - 0*v + 85, -31 = -t + 2*v. Calculate the highest common factor of t and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -868 + 870. Let w = -40\/17 - -1\/51. Let y = w + 5\/3. Which is the smallest value? (a) 1 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, -1\/7, -1\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44325 and 450?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 173834813*z**2. Let h(s) = -5*s. What is f(h(a))?\nAnswer: 4345870325*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.956242 micrograms?\nAnswer: 956.242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**3 - 2*a**2 - 2*a + 2. Let n be k(-1). Solve 3*r = i - 6*i - 27, -4*i - 32 = n*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-6))\/i)\/(i*i*i\/i**2)*i**6*(i*i**(2\/11))\/i*i assuming i is positive.\nAnswer: i**(134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*j + 2. Let p be (j - (1 - 2)) + -3. What is the least common multiple of 6 and 28 + p - (-2)\/(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:21 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 425978?\nAnswer: 425989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + (-4 - 59225856\/(-54)) - 13\/117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2887718 or -2887676?\nAnswer: -2887718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11391260 divided by -38?\nAnswer: 299770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002780642 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(117) + -3*2*sqrt(117) - sqrt(117) - sqrt(117) - sqrt(117))\/sqrt(9) - sqrt(117)*-4*3)*1 + -5)*4.\nAnswer: -20 + 448*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 - 2.123. Let y = 0.66 + r. Let s = 7.763 + y. What is s rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/7 + 10456*p + 73188\/7.\nAnswer: 4*(p + 1)*(p + 18297)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-84) - 1)\/((-38)\/18 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-84)\/(9 + -3)*(-5)\/(-10) + 12935?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*t - 62*t + 480 = 0. What is the first derivative of -52*p - t*p + 161*p - 51*p + 47 wrt p?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-9 - (-221)\/26)*-4. Let s(w) = w**2 + 18*w - 183. Calculate s(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + p**2 - p - 4. Let f be h(-3). Let a = f + 29. Calculate the remainder when (-2)\/4 + 99\/2 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157605100?\nAnswer: 2, 5, 31, 257, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 32.9. Let g = i - -2.9. Let b = -2.199964 - g. Round b to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*a + 38, 9*w = 7*a - 3*a - 27. Which is bigger: -1\/12637 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 178006, 3, 307, -4 in descending order.\nAnswer: 178006, 307, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + 82. Suppose -3*w - 4*v = 39 - t, -116 = -5*w + 3*v. Solve -4*j = -3*d + w, 0*d = 2*d + 3*j + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 139*j + 30 = -143*j, -3*t + 38 = -5*j. Let k = 75 + -153\/2. Put -2\/19, t, k, -0.2 in descending order.\nAnswer: t, -2\/19, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24d7cb (base 14) in base 7?\nAnswer: -13523344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/7)\/(2\/7). Let m = 8 - 3. Sort -4, g, m in decreasing order.\nAnswer: m, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -63, -107, -169, -249, -347, -463?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-7 + 17) - 5 - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**3 - 3*c**2 - c + 2. Give u(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -772*g**2 - 1476*g**2 + 412*g**2 - 452*g**6 - 1677*g**6 wrt g?\nAnswer: -255480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 32. Let w(q) = 84*q**2. What is n(w(u))?\nAnswer: -84*u**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) - 17\/(-5). Suppose d + i*g = -8, 0*d - 3*d = g. Calculate the highest common factor of 7 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 43*g. Let y be (2\/(-10))\/(1\/(-5)). Let l be p(y). Suppose -2*f + 9 + l = 0. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6292721*b - 14081*b**3 + 6292721*b + (-4*b - b + 4*b)*(-4*b**2 + 5*b**2 - 3*b**2).\nAnswer: -14079*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**3\/3 - 4798. Let t(r) = -1909*r. What is d(t(y))?\nAnswer: -3644281*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -143, -134, -121, -104, -83?\n\"Answer: 2*j**2 + 3*j - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 4*w + 4. Let x be v(-2). Suppose -3*r + 5*b + 957 - 132 = x, 5*b = 15. Suppose 11*t - 59 = 326. What is the highest common factor of t and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5446821142?\nAnswer: 2, 7, 389058653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let t(j) = -3*j - 6. Suppose -5 = 5*l + 4*r, -3*l - 4 = 4*r - 1. Let c(f) = f - 1. Let g(s) = l*t(s) + 6*c(s). Calculate g(k(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 20 - 5. Let a = 0.33 + -0.03. What is the closest to 2\/9 in n, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3386, 3392, 3410, 3440, 3482?\n\"Answer: 6*f**2 - 12*f + 3392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 512663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -44 + 212. Calculate the common denominator of -17\/15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.2 - 3.8. Let k = l + 21.7. Put k, -0.4, -0.09 in descending order.\nAnswer: -0.09, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -328565.181.\nAnswer: -328565.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 5*k**2 - 1675*k + 5032. Determine s(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 619 - 602. Solve d*h - 8 = 25*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 - w**2 + w + 1. Let k be v(-1). Let b = 72 + -72.2. What is the third smallest value in k, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3062, -6015, -8968?\n\"Answer: -2953*t - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44229\/104 + 4032\/13. Let a = d + 9739\/88. Find the common denominator of 111\/14 and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -163125 divided by 261?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111111 (base 2) in base 12?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)\/(r\/(r*(r\/r**(-4\/3))\/r*r)))**(-48)*(r\/r**1)**(1\/51)\/(r*r**1)**(16\/3) assuming r is positive.\nAnswer: r**(-368\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h = v - 8, -5*v = h - 8. Suppose 0*u + 40 = 4*u. Let w be (-36)\/u + 6\/(-15). Sort w, 4, v in decreasing order.\nAnswer: 4, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67035 - -126178. What are the prime factors of b?\nAnswer: 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 9:12 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -14 - 10) + 29 - 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*q = q + 2*i - 9, 508 = 4*q + 211*i - 127*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2 - 334*s - 1645 = 0?\nAnswer: -329, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129574540, -259149082, -388723624, -518298166, -647872708?\nAnswer: -777447250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 0*h - 2994 - 15*h**2 + 3000. Let m(o) = -14*o**2 + o + 5. Calculate -3*a(k) + 4*m(k).\nAnswer: -11*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 1}. What is prob of sequence dff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9617\/12871 + -45\/61. Let o = q + 12839\/3376. Calculate the common denominator of -71\/8 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fubfbbcb. Give prob of sequence ffuc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.104611 rounded to three decimal places?\nAnswer: -1.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13392412.\nAnswer: 2, 11, 304373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7189130 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -z, 0 = 5*z - 9 - 11. Let r(f) = 2*f**3 + 2*f**2 - 2*f - 3. What is r(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.71218091 plus 1?\nAnswer: 5.71218091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 1. Let r = 559 - 554. Let n be r + (47 + 9)\/8. Sort -1, n, j, 2 in decreasing order.\nAnswer: n, 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 2*q**2 - 5*q + 2. Suppose s - 3 = 1. What are the prime factors of v(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6366 divided by 6366?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g - 11*g + 8*g**2)*(-2*g**3 - 2 + 2)*(-6 - 7 - 2).\nAnswer: 240*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 72)*((-65)\/(-10) - -4). Round y to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - (4 + -3 + -30359)) + -59 + 61?\nAnswer: 2, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 12. Let h be ((-108)\/(18\/3))\/(3\/2). Let m be -1 + 1 + h\/3. Put q, -1.2, m in increasing order.\nAnswer: m, -1.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -106107, -106103, -106099, -106095?\n\"Answer: 4*a - 106111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55176 and 50160.\nAnswer: 551760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-16 - -2) + 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -36*n + 1. Is y(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1272 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 3*l - 4. Let a be j(-4). Let f = 685 - 659. Suppose h = a + f. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -24060493 = 0.067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 2078*t + 7676*t - 1056*t - 52.\nAnswer: 8698*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 5*u**2 + 2*u - 5. Let i be g(5). What is the units digit of (8 - 5)*i\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7090 a factor of 155384440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 4*f - 31. Give r(8).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 6*l - 9. Let t be a(2). Solve -t = -2*d - x - 0, -5*d = -x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((-108)\/30)*-692400. Round k to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**4 - 4174330*v**2 + 153464 wrt v.\nAnswer: 4*v**3 - 8348660*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -80250760 rounded to the nearest 1000000?\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 8:28 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/15 (c) -3 (d) 11 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 38*i**3\/7 + 2620*i**2\/7 + 22282*i\/7 - 1180\/7 = 0.\nAnswer: -59, -10, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 5, 3, 4, 224, -1 in decreasing order.\nAnswer: 224, 88, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.3 - -1.7. Let j = 3 + f. Let w = 799\/12 - 265\/4. Which is the third biggest value? (a) -2\/3 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 10. Let u = -65 - -66. Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019045 to 7 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.98 and 0.5.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-10))\/((-12)\/40). Suppose v + 4*l + 9 = 0, 0*l = -3*v - 4*l - 3. Suppose -5*m + 15 = y - 5, -10 = v*m + 5*y. Solve 4*k = m*k + g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/12992 and -61\/1856.\nAnswer: 12992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189, 2, 4, -1 in decreasing order.\nAnswer: 4, 2, -1, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42 from 3655.3423722014.\nAnswer: 3697.3423722014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15426, 104, 15634?\n\"Answer: 15530*k - 30956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 2:13 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**3 - 5*t + 1947. Let s(k) = k**3 + k - 488. Give 3*r(v) + 13*s(v).\nAnswer: -2*v**3 - 2*v - 503","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 162481043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -8, 71, 5, 1, 6, 34 in descending order.\nAnswer: 71, 34, 6, 5, 1, -8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/99654240 and -149\/449568?\nAnswer: 298962720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 12*w + 24. Give d(7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 222659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -15 (b) -10.71 (c) 4 (d) 1.93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14224.04 centuries in decades?\nAnswer: 142240.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l**4 + 723*l**3 - 4230*l**2 + 852*l + 2664 = 0. Calculate l.\nAnswer: -2\/3, 1, 6, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -1 + 904 + -902\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14282838.\nAnswer: 2, 3, 59, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1652*f**2 + 863*f**2 + 783*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78897.2 decades to millennia.\nAnswer: 788.972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32278? (a) -2\/5 (b) -1\/8 (c) -6\/5 (d) -0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5\/8))**(-8\/5)\/(k*k\/((k\/k**(1\/25))\/k))**(3\/38))**(-42) assuming k is positive.\nAnswer: k**(-16737\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 763.85 + -759. Let u = x + -2.85. What is the smallest value in -0.3, u, 87?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-9) - 47\/(-3). Let f = r + -10. Find the third derivative of 2*c**f - 5*c**6 + c**2 + 2*c**6 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4290, 45723, 158198, 377235, 738354?\nAnswer: 1277075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 133 = n, -19*n + 41*n - 158 = 5*x + 18*n for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16342513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196\/29 - 124\/87. Let c(f) be the first derivative of 0*f**2 + d*f**3 - 12*f**4 + 6 + 0*f + 36\/5*f**5. Determine y so that c(y) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 18 = 2*r, 5*r = 4*f + 3*r - 18. Let g be (1 - 2)*(-8 - -4). Solve 2*s + 0 + g = f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, c: 2, w: 2, g: 1, b: 10}. Give prob of sequence cwbw.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 3347 = -448. Suppose -k + 2*y = -x - 1341, 5*k - 7512 = y. List the prime factors of k.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*k + 207, 4*p - 3*k + 2*k + 441 = 0. Is (-1)\/((-2)\/p)*(-2116)\/138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n. Let f(b) = -b - 2. Let q be f(3). Let t(j) = 4*j. Let w(d) = q*t(d) - 7*z(d). Let u(x) = 13114 - 13114 - x**2. Give w(u(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 589 + -581. Solve -12*d = -i*d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*o - 1 = 0, 6 = 2*a - 2*o + 6*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (2*-1)\/(-2). Let q(p) = -32*p - 1329. Let h be q(-42). Solve -8 + 3 = 2*j + b, 5*b - h = -v*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/5, 84, -2.6, -2\/9 in decreasing order.\nAnswer: 84, 0.2, -1\/5, -2\/9, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 14 = -2*p. Let r(l) = -l**3 + 6*l**2 + 9*l - 7. What is the remainder when 18 is divided by r(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 380*t**2 + 8188*t + 7812.\nAnswer: 4*(t + 1)*(t + 31)*(t + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78319828.\nAnswer: 2, 139, 140863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 61*x - 60*x = -43372, 3*x + 108431 = 5*j. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 9, -16\/7, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -5*j - 3*l - 113, -3*l = -5*j - 271. Let p = j + 79. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4027 divided by 4027?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.42 in 0.2, -4\/161, -2, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*g - 54, 2*g = 4*w + 5 + 19. Let l(y) = -y**2 + 24*y - 72. What is the smallest common multiple of g and l(20)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-63)*6 - 23\/(-7). Determine c so that 0 + 5\/2*c**g - 25\/2*c**2 + 10*c = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7077 (base 10) to base 15.\nAnswer: -216c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30\/751 - -62479\/78855. Find the common denominator of s and 53\/147.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = 4*u + 170 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*y**5 - y**4 + 3209*y**3 - 874993*y**2 wrt y?\nAnswer: -780*y**2 - 24*y + 19254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 357, -1 in descending order.\nAnswer: 357, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 + 119991*l\/5 + 119994\/5.\nAnswer: -3*(l - 39998)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1624 - 1589) + 1 + -27.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (((sqrt(96) - 3*sqrt(96) - sqrt(96)) + sqrt(96))\/sqrt(6))\/sqrt(8) + (sqrt(80) + sqrt(80) + sqrt(80)*3 + sqrt(20))\/sqrt(10).\nAnswer: 4 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 5. Let k(h) = 3*h**2 + h. Let i be k(z). What is the units digit of 1\/i + 3\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011200121 (base 3) in base 2?\nAnswer: 1010011100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2288686659?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 88193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 times 0.3911?\nAnswer: 68.8336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11089.\nAnswer: 13, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 6 = -2*s, 15*w - 19*w + 6 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3012 + 1?\nAnswer: -3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235468 and 11122681?\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9418 is divided by 9019?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(2\/13))*w*w\/(w**(-9)\/w*w))\/(w**(1\/3))**(-33))**(-41) assuming w is positive.\nAnswer: w**(-11644\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -816425 by 7225.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*d = -16, 3*j + 9150*d + 62 = 15*j + 9151*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 3*h)*(-3*h - h + 2*h) - 3*h + 2*h - h + h**2.\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2930.\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16087?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 3*n = -11, 4*s - 84 = 4*n. Let m(d) = 0*d**2 - 26 + s - d**2. Let o(j) = 8*j. What is m(o(l))?\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 11, -5, -39, -97, -185, -309, -475?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322498 is divided by 40240.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-96) - (-5)\/400*20)\/((-1)\/12).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**7\/945 + 11*z**6\/540 - 11*z**5\/135 - 5*z**4\/9 + 8*z**3\/3 + 5*z**2 + 15. Determine g, given that u(g) = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 + -3.03. Let u = -0.33 - s. Which is the third smallest value? (a) u (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*w - 5*j, 6 = -j + 4. Let t(l) = -5*l**3 - l. Let b be t(w). Let d = b - 4. Solve 0 = -4*u + k + 5, 4*k = 2*u + d*u - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92053, -184018, -276005, -368026, -460093, -552218, -644413, -736690?\nAnswer: -829061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203000 and 560?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*l - 5*p, 3*l = 4*p + 163 - 53. What is the lowest common multiple of 10 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 50\/18 - 12\/(-54). Suppose -s*x + 168 = 4*x. Let o be (-54)\/9*-1*1. What is the highest common factor of x and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 88, 419, 1090, 2215, 3908?\nAnswer: 6283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*g + 177 - 348 + 177 - g + 2 - 2 + (5*g + 0*g - 3*g)*(0 - 3 + 5).\nAnswer: -43*g + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 + 203 = 3*s - 5*d, -826*s - 2118 = -865*s - 3*d for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 11047983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 66 + -4 + -14 - 35\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -280, -426, -572, -718, -864?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2668 - 2665. Solve -n - i*j = -8*j - 16, 12 = -3*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4, 3*o + 0 - 13 = -2*z. Solve 0*q = z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(sqrt(78) - (sqrt(78) + 1*-2*sqrt(78) + sqrt(78)))\/sqrt(6) + (0 + (sqrt(1053) + -1)*-2)**2).\nAnswer: -21080 + 380*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242 + 21. Let v = y + -197. Calculate the greatest common divisor of 33 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3\/3 + 178*l**2 - 2731*l\/3 - 6468 = 0.\nAnswer: -539, -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.29102649 and 0.0359.\nAnswer: -3.25512649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2257 (base 8) to base 9\nAnswer: -1572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00054565 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -12*a**2 + a - 6. Let f be g(-1). What is the greatest common factor of f and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6 - 6 + 1 + 10. Let f(m) = 3*m + 7. What is f(w) + 5*p(w)?\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*v - 114*v = -168. Suppose n = -2*m + 33, 0*n - 70 = -5*m - 5*n. Suppose 2*g - 5 = m. Calculate the remainder when v is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 8*f**2 - 10*f + 6. Let w = -937 + 931. Give m(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a0 (base 15) to base 10.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t - 7*t - 31483 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -303 - -305. Let m(o) = -210 + 102 + 108 + 2*o**u. Let v(a) = -16*a**2 - 4*a. What is v(m(b))?\nAnswer: -64*b**4 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011764752022 to 7 dps.\nAnswer: 0.0011765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -6 - 1\/4*j**4 - 1\/2*j**2 + 0*j**3 + 3*j. Give m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -1047*q**5\/5 + q**3\/3 + 20*q**2 - 308. What is the third derivative of a(l) wrt l?\nAnswer: -25128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.7 - 14.02. Let n = j + -0.18. Let c = -2.3 + n. Is c less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2281022837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -236.344 + 236.39. Let v = 0 - 0. Put n, -1, v in descending order.\nAnswer: n, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11*a + 1. Let c(y) = 12*y - 2. Calculate -2*c(k) - 3*p(k).\nAnswer: 9*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189907535.\nAnswer: 5, 37981507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 9. Let b be r(4). Suppose 2*l + 4*c = 38, l = -0*l + b*c + 4. Calculate the highest common factor of 52 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 355087688 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/142 and -31\/164010.\nAnswer: 164010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 289 = 9*y + 295, y + 9 = 2*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 196*v + 1963. Let w be g(-10). Sort -103, -4, w in ascending order.\nAnswer: -103, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g - 19. Let f be m(-6). Is f*(-257)\/((-4)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 49.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122 - -129. Solve 2*s + 20 = l*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173*b*y**6 + b*y**3 - 48*b*y**2 - 5*b*y wrt y?\nAnswer: -20760*b*y**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1 + (-3 + 1 + 1)*(-4 + 0 + 2) - 1 + 0 - 3 - 6 + 1 + 2)*(3*x + 0*x - x) in the form w + t*x and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -337, -338, -339, -340, -341, -342?\n\"Answer: -g - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 1862 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22207613 and 3244?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 8) in base 12?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuutuuut. Give prob of sequence uut.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -242.56.\nAnswer: -727.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - 1367*z**2 - 68*z**2 - 647*z**2 + 0*z**2 + 5*z**2 - 2*z**2 + (-z + 2*z + z)*(5*z - 4*z - 2*z) to y*z**2 + c*z + f and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u**2 + 31*u - 51*u + 6*u + 14*u.\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -894*d. Let o(b) = 2361*b**2. Calculate i(o(y)).\nAnswer: -2110734*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a milligram in micrograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k - 3*g, 5*k + 2*g = -3*g + 10. Suppose -3*j + 192 = 45. Suppose -k*u + j = -2*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*z**3 + 2148852*z**2 - 1031472*z = 0.\nAnswer: -21489, 0, 12\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y - 2. Let r be 5\/5 + 3 + -1. Let c be l(r). Let o = 43 - c. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + m**2. Let v(j) = 9*j - 4*j + 3*j**3 + 4*j**2 - 5*j. Let w = 5 - 1. What is w*c(q) - v(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u + 57. Let d be o(-28). Let r be d*(3 - (-2 + 0)). Suppose x + 8325 = 6*x + r*i, -5*i + 1649 = x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 139?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.443196 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f + 0*f + 4*f + f - f - f + (-1 + 0 - 7)*(54 + 9*f - 54).\nAnswer: -76*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1424.99 + -1331.4. What is i rounded to 0 decimal places?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 9. Is 26 a factor of (r + -425)*(-3)\/((-12)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**2 + 7*c**2 - 2*c**2 + 8*c**2 + 21*c**2.\nAnswer: 65*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1352, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 941 + 123. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 5*i + 4. Let h(o) = o. Let g be h(5). Let t be l(g). Suppose 0 = m - 9 + t. What is the remainder when 18 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 2:17 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 84*x + 603. Give w(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 231644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/6 + 3550*t**2 + 21301*t\/6 = 0. Calculate t.\nAnswer: -1, 0, 21301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*s - 1521, -128*s = -4*t - 123*s + 2029. What is the lowest common multiple of 161 and t?\nAnswer: 11753","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 5*k**2 - 7*k - 4. Let v be x(-6). What is the third derivative of -6 + 10*o**v - 7*o**2 + 6 - 14*o**5 wrt o?\nAnswer: -840*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073 take away 0.114825011?\nAnswer: -0.187825011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4434975961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + b?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-378 + 378 - 5*g)*(-g + 0*g + 2*g) - 3*g**2 + 12 - 2*g - 2 + 6 to a*g**2 + d*g + i and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-10 - -1) + (2 - -55) + -43 + -118?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*y**4 - 9595*y**3 + 5355020*y**2 + 4024045*y - 1340550 = 0. What is y?\nAnswer: -810, -1, 1\/4, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4767 and -14\/3?\nAnswer: 4767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 401*u**3 + u**2 - u. Let z be c(1). Let x be (-1 + z)*1\/(-1). What is the common denominator of -5\/12 and 405\/x + 2\/10?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*a - 18*a - 250*a**4 + 1725*a**4 + 37*a - 3 + 46*a wrt a?\nAnswer: 17700*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8751 - -8752. What is the nearest to 2\/3 in 5, b, 2\/11, 54?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13410455 + -57589545. Round u to the nearest 1000000.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -140\/3*i**3 + 186 - 5\/2*i**2 + 140*i + 5\/4*i**4. Suppose z(f) = 0. What is f?\nAnswer: -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -12 - 14. What is the first derivative of d + 13*c + 2*c - c - 66 wrt c?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 2. Let f be t(-5). Let a(p) = 6*p - 4. Let q(x) = -11*x + 7. Let o(k) = f*q(k) + 5*a(k). Differentiate o(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 238, 2150, 5312, 9730, 15410, 22358, 30580?\n\"Answer: u**3 + 619*u**2 + 48*u - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.794 - 1.794. Put b, 1.3, 3\/7 in decreasing order.\nAnswer: b, 1.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 729 and 9702.\nAnswer: 785862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-24)*0 - -185. What is the greatest common factor of 407 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 716, 0.7, 0.0432?\nAnswer: 0.0432","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/(-44) + (-1)\/((-20)\/95). What is the second smallest value in 6, -3\/4, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = v - 0*v - 13, 3*l = -4*v - 3. Let w = l - -8. Is (1\/w)\/(1\/69) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17639\/8 or 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - o + 7. Let d be (-5 - -3)\/(-1) - o. Suppose 0 = 4*h + d*k - k - 46, 11 = 2*h - 3*k. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716 - 25*l + 716 - 104*l.\nAnswer: -129*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-1)\/(2\/138). Let c = -46 - x. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = -2*p - 113 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c**(1\/4)\/c)\/c*c)\/c*c)**(-21) assuming c is positive.\nAnswer: c**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = -5*z + 4*x + 729, -3*z + 3*x + 318 = 0. Let v = -107 + z. Let i(y) = 3*y**3 - y**2 + y + 1. Let j be i(-1). Is j at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 12*y**2 - y + 22. Calculate the smallest common multiple of 10 and c(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4473277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1020299345 or 0?\nAnswer: -2\/1020299345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 10*r**2 - 5*r - 3. Let q be h(-10). What is the highest common divisor of q and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3239*c**3 - 6*c + 2 + 3248*c**3 - 3*c to the form p*c**3 + n + j*c**2 + q*c and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.7 (b) 456755 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -44342 (b) 0 (c) -2 (d) -12 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 237*g**2 + 48222*g - 5046. Calculate n(368).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 7) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -86. Sort 3, f, -1 in decreasing order.\nAnswer: 3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8229252.5 rounded to the nearest 10000?\nAnswer: -8230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 0.0817\nAnswer: 1.1438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6782181590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5646 - 5643. Which is the nearest to 3\/4? (a) 1 (b) 0.2 (c) -2\/5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 1 z when three letters picked without replacement from {z: 2, j: 3, c: 2, d: 2, a: 10}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s. Let c(m) be the first derivative of -3 + 1\/2*m**2 + 0*m. Calculate l(c(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -50259*m + 703600. Determine s(14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 4*b - 2. Let h be p(2). Let v(x) = x**2 - 6*x - 7. Let q be v(7). Let t = h + q. Put t, 1, -4 in increasing order.\nAnswer: -4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, 4, 19, 6.3, 1.3?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*s**4 - 1971835*s**3 - 2371*s**2 + 36359*s?\nAnswer: -960*s - 11831010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 2*m**2 - 2*m. Let b be c(-2). Let u(z) = -z**2 - 14*z - 34. Let g = 5 + -16. Let o be u(g). What is the smallest value in 0.1, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35 + 35)\/(35\/(-9 - -4)). Let k(l) = l**3 - 2*l**2 + 2*l + 1. Let d be k(2). Find a, given that v + 3*a**3 + 1\/2*a + 2*a**4 + 2*a**2 + 1\/2*a**d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(208) + -1) + 3*((-1*sqrt(91))\/sqrt(7) - sqrt(13)))**2 + 2.\nAnswer: -108*sqrt(13) + 4223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 412771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26 - (57 + -18) - (-106)\/8. What is the second biggest value in -5, a, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (6 - (-2 + -10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5259 - 5253. Let r(n) = 15*n**3 + 2*n**2 + 2*n. Let h(b) = -15*b**3 - 3*b**2 - 3*b. Calculate s*h(i) + 9*r(i).\nAnswer: 45*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-501 - 306 - 91)*(3*a + a + 1 - 2*a).\nAnswer: -1796*a - 898","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -203, -215, -227, -239, -251, -263?\n\"Answer: -12*s - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-163)\/(-7) + (-4)\/14. Let x = 47 - b. Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 19 = 3*x, -5 = 2*p + 2*x + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*o = -0 - 3, -5*k = 3*o - 6. Suppose k*w - 2 - 13 = 0. Is (-4)\/10 + 447\/w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + j - 5. Let y be r(-3). Is y not equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w + 31 = a, 57*a - 61*a = 5*w - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 12 = 3*y, 4*z - 9*z + 4*y + 35 = 0. Suppose -2*c - z*k = 17, -4*c + k = -k + 26. Let d = 0.1 - 0.3. What is the biggest value in d, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, e: 3, s: 6, k: 2}. Give prob of sequence eesk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5919.9153 to the nearest integer.\nAnswer: -5920","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d - 3*t - 18, -2*d - 9 = 3*t. Let c(a) = -d*a - 3 - 4 + 4. Let p(n) = -n - 1. Determine -6*c(g) + 17*p(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by (-351)\/(-21) - (-6)\/21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - d - 4 = 0, -5*l - 105512*d + 105514*d = 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u - 9*u - 234*u - 2)*(2 - 7 - 2).\nAnswer: 1771*u + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Suppose 0 = 3*l + 5*o - 44, -l + o + 64 = 4*l. Suppose -17 = -2*h - l. Solve -d - n = h*i, 4*d + 2 + 2 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -338, 6819 in descending order.\nAnswer: 6819, -42, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13174, -13260, -13402, -13600, -13854?\nAnswer: -14164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/4, 13.\nAnswer: 1\/4, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*4*16\/(-28)*-14. Which is the nearest to 2\/7? (a) -1 (b) -2\/3 (c) -0.4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1994094400 to the nearest integer?\nAnswer: 44655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, r: 1, f: 7}. What is prob of sequence fjfr?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -152*o**2. Let h(f) = -13*f + 4. Let c(a) = 36*a - 11. Let j(k) = 4*c(k) + 11*h(k). What is r(j(x))?\nAnswer: -152*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(4\/13)*j))\/((j*j*j*j\/((j*j*j*j\/j**(1\/41))\/j)*j)\/j)*j**(-1\/27)\/j*j\/((j**(-1\/36)*j*j*j)\/j) assuming j is positive.\nAnswer: j**(-249905\/57564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*s - 34 = 0, -40 = 2*x + 5*s + 31. Let a = x - -39. Suppose 125 = u + a. Is 30 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 46 - 142 = 0. Let d(i) = 3*i**2 - i - 2. Suppose 6 + 12 = -y - 4*z, 3*z = -12. Let j be d(y). Solve 2 - k = -2*r + 2*a, 4*r - 2*a = j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43\/5 (b) 0 (c) 0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17690 and 10?\nAnswer: 17690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -989 + 988.99996543. What is o rounded to six decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*d + 3*d. Suppose -3*h + 2*m + 3*m + 20 = 0, d*h = -2*m + 8. Solve 7 = -4*y - h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.302552 to one decimal place.\nAnswer: 25.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*g - 234 = -150*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 95. Let f = 1608 + -1652. Let n = z + f. Calculate the remainder when n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 13*r**4\/12 + 9*r - 4. Let q(z) = -3*z. Determine q(c(b)).\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42.12843 and 126.\nAnswer: 83.87157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-810)\/(-900) + (-1)\/2. Which is the fourth smallest value? (a) f (b) -0.2 (c) -15 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*x + 1, 2 = 4*x - 2*x. Calculate the smallest common multiple of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -1 - (6 - -8). Let v = -1 - 0. Is (5*v)\/(h\/253) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -172*l + 40. Let g be q(4). Calculate the common denominator of (388\/g)\/(8\/24) and -61\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 16*p + 4. Suppose -18*x = -7*x - 187. Let j be a(x). Solve -5*g - 24 = -4*l - 8, 5*g + l + j = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z + 11. Let l(n) = -24*n + 9*n - 2 + 4*n + 13*n. Determine -11*l(m) - 2*u(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/60 + y**3\/6 - 1252*y**2 + 2*y. Let o(x) = 5*x**2 + 4. What is -o(l) + 6*p(l)?\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4544 and 315240?\nAnswer: 2521920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1092336, 2184706, 3277086, 4369476?\nAnswer: 5461876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 76*g - 70. What is the units digit of k(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/2212 and 111\/176644?\nAnswer: 1236508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = s + 753, 4*q - 14 = -2*s + 580. Solve 161*b = q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.3, -2, -11 in decreasing order.\nAnswer: 0.3, -1\/3, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-110)*-11 - (-397 - 4). Calculate the highest common factor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -99*t. Let d = 20 + -16. Let m be n(d). List the prime factors of (-4)\/14 - m\/14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 + 2*w + 1. Let s be j(-1). Let p = 108 + -107. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w + 4*m = -116*w - 29, 2*w + 5*m = 3*m + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10904 is divided by 10456?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from {s: 2, h: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvyvrcvvy. What is prob of sequence cr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*i - i = -7, 5*z = 2*i - 145. Let v be (z\/1)\/(-3) + -3. Suppose -29 - 31 = -v*n. What is the highest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 64. Let l = 2 + -3. Let n = -27\/10 - -5\/2. Which is the nearest to n? (a) -3 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 4, i: 9, w: 1, m: 3}. What is prob of sequence wm?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -92, -120.\nAnswer: -120, -92, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 438, 439 in descending order.\nAnswer: 439, 438, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -39. Let c = -55 + 52. What is the nearest to c in k, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -16, -19, -22, -25?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*g - 9501 - 9708, -4*f + 5*g = -38413. List the prime factors of f.\nAnswer: 2, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 525974.6mg?\nAnswer: 525974600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 430*i**3 - 22896*i**2 + 23328*i.\nAnswer: -2*i*(i - 1)*(i + 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1237*v - 835*v + 27068*v in the form u + w*v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5715681733 to the power of 1\/2, to the nearest integer?\nAnswer: 75602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - -94. List the prime factors of p\/(-10)*(-24)\/14.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/3 - (-1 - 0). Let n(b) = -118*b + 15. Let k(f) = -119*f + 15. Let q(g) = 3*k(g) - 4*n(g). Is q(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b**4 - 7*b**2 - 4*b - 28. Let p(a) = -a**4 + a**2 + 2*a - 1. Let f(d) = -g(d) - 2*p(d). Differentiate f(o) with respect to o.\nAnswer: -20*o**3 + 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 20. What is the fourth biggest value in -2\/9, 0.11, -6, k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 23351755 - 407568245 = 0. What is c rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/3*260\/195?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((18\/3)\/(24\/6))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469359 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/38*136\/1. Solve -28*k - 8*k + d*k**5 - 38*k**4 + 82*k**5 + 89*k**3 - 48*k**2 - 145*k**5 = 0.\nAnswer: -2\/5, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 8113?\nAnswer: 81130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7715486\/11 or 701408?\nAnswer: 7715486\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428131874 to the power of 1\/2, to the nearest integer?\nAnswer: 49276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xctcccxcx. Give prob of picking 1 t, 1 x, and 2 c.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101101001101100111001 (base 2) to base 15.\nAnswer: 771add","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 - 23*j**2 + 14*j - 24. Calculate l(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*g + 606 - 1667 = 0, 5*g = 3*w - 657. List the prime factors of w.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*q + 23 + 106*q - 58*q)*(2*q - 11*q - q) as u*q + l + j*q**2 and give u.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 11. Let p = 5 + i. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (4 - 4) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4\/6 + 71*i**3\/3 - 1937*i**2\/6 + 1966*i\/3 + 2794 = 0.\nAnswer: -2, 6, 11, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 184108.14 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2231928 and -31\/216.\nAnswer: 2231928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**5\/60 + 3*a**4\/8 + a**3\/2 + 2*a**2. Let v be 10\/(-4)*(-1)\/((-177)\/(-48) + -4). Determine n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -4*t + 2*n, -4*t - n = 3*n + 284. Let b = t - -75. Let r be -12*(30\/b + -4). Solve -r = f, 4*f = w - 1 - 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adad when four letters picked without replacement from dddadadaddddaa.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 36*x**2 - 73*x + 7. What is a(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4384 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ba258 - -5?\nAnswer: -ba253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/6755664 and -19\/331160.\nAnswer: 33778320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.291 - 0.42. Let i = p - 0.581. Round i to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.79466 and -1.\nAnswer: 23.79466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 103.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l - 22. Let g be b(4). Let x(t) = 16*t + 1. Let i(h) = 6*h - 9*h + 6*h. Let u be ((-66)\/12)\/(2\/4). Determine g*x(o) + u*i(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 301477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t**2 - 2*t - 2 - 2152*t**3 + 14*t**2 + 2053*t**3 to the form p + i*t**2 + u*t + c*t**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {i: 1, a: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 52. Let l be b(-9). What is the first derivative of 6*t + l*t**4 - 22*t**4 - 6*t - 36 wrt t?\nAnswer: 156*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-9)*3*(-6)\/(-90)*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) -258\/11 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342 by -57.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 71. Let j = q + 51.6. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(-21)\/9 - (-205656)\/44?\nAnswer: 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + 1 + 0))**2.\nAnswer: 72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*o**3 + 103*i**2*o**2 - 424*i**2*o - 2*i - 4*o**4 wrt o.\nAnswer: 12*i**2*o + 206*i**2 - 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 76 - (146 + -155)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 56?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1365, -1978, -1857, -1002?\n\"Answer: 367*j**2 - 1714*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 2*r**5\/5 - 791*r**3\/3 + 208*r - 590. Differentiate f(d) wrt d.\nAnswer: 8*d**3 - 1582*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-23 + (15 - 25))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c + 33 = -44*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -7*s - 122. Sort -3117, 3, s.\nAnswer: -3117, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bbc (base 14) in base 13?\nAnswer: -1098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-165)\/(-1210))\/((-182)\/143).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91 and 3398889.\nAnswer: 23792223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 4. What is the greatest common factor of p and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:23 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 3\/(4 + -1). Sort r, -2, -4 in ascending order.\nAnswer: -4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7773.649 years to millennia.\nAnswer: 7.773649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 + 192. Let r = -82 + d. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -20*u**3 + 3*u**2 + 11*u - 25. What is l(2)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50445 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000629673 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1063650750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 7*d = -2*a + 8, 5*a - 5 = 0. Suppose h - 6 = -3*b + 16, -42 = -3*b + d*h. What is the least common multiple of 12 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78116 or 3202804\/41?\nAnswer: 78116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/80)\/(-7*(-6)\/105).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwqwqwwqqwqqwwwfq. Give prob of picking 2 q and 2 f.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6953.95 * 0.044\nAnswer: -305.9738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-12) + 0)*8. Let b be 4\/6*(-45)\/d. Suppose -i - 220 = -b*u, -25 = 3*i - 8*i. What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/20)\/((-3)\/762*1). Let k = v + 130. Let a(h) = -119*h + 11*h**3 + 3 + k + 113*h. Let q(x) = 23*x**3 - 13*x + 13. Give -13*a(o) + 6*q(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.721064 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -259 + 255. What is the units digit of 0 + d + 3 - -530?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66810, -133501, -200052, -266463, -332734, -398865?\n\"Answer: 70*c**2 - 66901*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 + 40*o\/9.\nAnswer: 2*o*(o + 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 3:07 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7784 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as 58.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 4400.854.\nAnswer: 17603.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*p**3 + 16*p**2 - 11*p**2 - 190*p**3.\nAnswer: 17*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(((sqrt(50)\/(sqrt(10) - sqrt(40)) + sqrt(5) - sqrt(5) - sqrt(5) - sqrt(5))**2*1 - (sqrt(605) + (sqrt(605)*-1)**2 + -5)) + 2).\nAnswer: 66*sqrt(5) + 3313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -1 in decreasing order.\nAnswer: -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d - 1. Let u be ((-6)\/(-12))\/((-1)\/(-4)). Let n(q) = -q**2 - q + 2. Let y be n(u). Is j(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/360 and -173\/568890.\nAnswer: 2275560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 - 1*(2 + -1). Let b be (-7)\/(-14)*36 + 1. Let f = b + r. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -4 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 209672*z + 209668.\nAnswer: 4*(z + 1)*(z + 52417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*3\/96*10\/(-15). Which is the smallest value? (a) 0.4 (b) 0.03 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - 10 - 17\/(-5). Which is bigger: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-35)\/(-2))\/((-4)\/(-16)). Let y = t - 101. Let r be -2 - (y\/7 - -3). What is the smallest value in -2, r, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 224, 145, -4, -247, -608, -1111, -1780?\nAnswer: -2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - v. Solve 2*p + v*p = -2*t - 12, 3*t + 20 = -4*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Suppose t*z + 2*z = 10. Solve -2*l = z*b - 4*l + 10, b + 15 = 3*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17623603 (base 8) to base 3\nAnswer: 21210021110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -590 - 3*s + 99 - 58*s**3 - 1174*s**3 wrt s?\nAnswer: -7392*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/(-7))\/((-460)\/112 + 4). Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b - 4 = -2*m, -12 = 4*m. Solve 3*c = 2*c - b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 + 7a785?\nAnswer: 7a73a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 7 - 7. Suppose 63*d - 288 + 36 = m. Suppose -4*n + 9*n - 15 = 5*u, -5*n + 3*u + 7 = 0. What is the closest to -3 in 0, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 - 125*m**2 - 74*m + 356. Let c be y(-41). Solve c*r = 113 + 83 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 z when four letters picked without replacement from {s: 3, v: 5, z: 1}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j**2 + 1\/12*j**4 - 2\/3*j**3 + 25 + 11*j. Let y(s) be the first derivative of f(s). Give y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12100211012012 (base 3) to base 15\nAnswer: 3b4905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6440000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - f**2 - f + 1. Let v = 94 + -106. Suppose r + 6 = -8. Let q = v - r. Let b(o) = -6*o**3 + 5*o**2 + 6*o - 5. Calculate q*b(t) + 10*n(t).\nAnswer: -2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -47\/4, -5\/4, -17\/4 in descending order.\nAnswer: -5\/4, -2, -17\/4, -47\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**2. Let d(s) = -s**2 - 6*s - 1. Let x be d(-6). Let y be o(x). What is the tens digit of (-103)\/(-7) - y\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 3*t**2 - t - 1. Let v be f(-3). Suppose 5*g = 5*q + 35, -q = -v*g - 2*g + 31. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -9.4. Suppose 0 = -9*y - 6 + 33. Which is the smallest value? (a) -0.2 (b) y (c) -1\/3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*o**4 + 3026*o**3 + 3*o + 164996 with respect to o.\nAnswer: 16*o**3 + 9078*o**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3447120.28 and 25.\nAnswer: 3447145.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 67 = -2*w + 5*o, -o = w - 17. Let k(h) = 4*h + 4. Let p be k(-2). Put p, w, 5 in descending order.\nAnswer: w, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l + l**2 + l)*(2*l + 0 + 0) + 15*l**3 + 20 - 20)*(-l - l**2 + l).\nAnswer: -17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 3*j**2 - 3*j**2)*(j - j - 10*j**3) - j**5 - 2*j**5 + 2*j**5.\nAnswer: -11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 1144489.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.58003 and -32596808?\nAnswer: 32596808.58003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113916*s**2 - 240490*s**2 + 126556*s**2.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 8678325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -411*v + 396*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - 2) + (3957 - 3881)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**3 - 17*x**2 + 2*x + 14. Let q(o) = -8*o**3 + 18*o**2 - 2*o - 15. Let p(n) = 6*q(n) + 7*u(n). Does 44 divide p(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z - 7. Let l be m(4). Solve l = -7*g + 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-1920))\/((-1)\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/342 and -89\/288.\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4202.\nAnswer: 2, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1558*z - 13050*z - 29932 = -2622 + 45730 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 160*k**3 + 32*k**2 + 64*k + 128. Let b(f) = f**3 - f**2 - 2*f - 4. What is 160*b(u) + 5*q(u)?\nAnswer: 960*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keeoj. What is prob of sequence ok?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + 0 + 0 - ((sqrt(684) + 1)*-6)**2.\nAnswer: -24660 - 426*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 7*n**2 - 6*n + 4. Is p(-10) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2)\/(-2)*-68. Let x = 117 - h. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30078)\/(-10) - ((-476)\/(-70) + -7) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16426300*z**5 + 3258573*z**2?\nAnswer: -985578000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -4.7. Let x = -19.759 - 0.241. Which is the closest to 0.1? (a) p (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26 (b) 1\/3 (c) 1\/4 (d) -12 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 13, -0.1, 1938, 234, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 950*o + 50 + 0 - 5.\nAnswer: -950*o + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*m**2 - 11*i**2*m - 9*i**2 - 682*m**2 wrt i.\nAnswer: 2*i*m**2 - 22*i*m - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away -0.112?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-19 - -1 - (-43 + 45)) - -5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2\/2 - 149*i\/4 - 15\/4 = 0. What is i?\nAnswer: -1\/10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 e when three letters picked without replacement from ebmbmmmme?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28533489 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 22 = 5*z, -3*z + 3*l - 12 = -4*z. Solve 0 = 2*m + z + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3139 is divided by 784.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r + 1 - 33892*r**2 - 33896*r**2 + 67792*r**2. Let i(c) = c**2 + c. Determine -3*i(w) + s(w).\nAnswer: w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -4, -192574, 4.\nAnswer: -192574, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, 108, 188, 284, 402, 548, 728, 948?\n\"Answer: b**3 - b**2 + 66*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48a49 (base 14) to base 7.\nAnswer: -1336622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 553.0408 millilitres?\nAnswer: 0.5530408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-26))\/(1\/(-2)). Let f = 117 + -117.5. Which is the third smallest value? (a) d (b) f (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151370020.\nAnswer: 2, 5, 7568501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269033 and 725.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 4806 - p**2 - 3*p + 10321 - 4349 in the form o + w*p + g*p**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-8))\/((-189)\/(-63))*(-24)\/(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -740 + 56?\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 364694000 to the nearest one million.\nAnswer: 365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - 8*c + 8. Let g(h) = -h**2 + 3*h - 3. Let k(b) = -8*g(b) - 3*y(b). Let q(m) = -4*m**2 + 6362 - 6367 + 2*m**2. Give q(k(d)).\nAnswer: -2*d**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hovovvohuhdlhhhuh. What is prob of picking 1 d and 3 h?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -43350 greater than -43350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4882031 (base 10) in base 6?\nAnswer: -252345555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.9, 6, -61?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 - 2 = -2*p, 0 = 2*m + 6. Let q be (7 - 9) + p\/4. Which is bigger: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2993 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42223 (base 5) in base 13?\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -752*l + 3783. Let n be h(5). Solve -n*k + 48*k = 20*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/1200 and ((-1144)\/39 - -8) + 5?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 12:47 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 35*n + 18. Let z(u) = -71*u - 39. Let y(g) = 13*h(g) + 6*z(g). Let f(d) = 6*d. Give y(f(w)).\nAnswer: 174*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 435529606*n**2 - 2*n**3 - 435529606*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 520.7156km in millimeters?\nAnswer: 520715600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = x. Let d(u) be the third derivative of 2*u**x - 1\/24*u**3 - 1\/240*u**5 + 0*u + 0 - 1\/48*u**4. Find s such that d(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -2*c + 4, 5*c = 4*b + 10 + 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253560429.\nAnswer: 3, 1733, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**6\/10 - 19*f**5\/4 + 2191*f**2\/2 + 22*f - 45. What is the derivative of c(r) wrt r?\nAnswer: -12*r**3 - 285*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**2 - 46312*r + 277728 = 0.\nAnswer: 6, 11572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Suppose -4*m + 7 = -9. Suppose 4*w = w - 5*s - 25, m*w - 2*s - 10 = 0. Sort 5, w, r in descending order.\nAnswer: 5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -427\/3 (b) 2\/3 (c) 2 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 4:44 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 10, -2\/3, 5\/2, 569?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-693)\/(-12)*1\/(-6)*-1 and 95\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x**2 - 2*x + 1. Let z(j) = -j**3 - j**2 + 3*j - 1. Suppose 85 = 3*s - 113. Let r be ((-33)\/s)\/((-3 + 2)\/(-6)). What is r*f(h) - 2*z(h)?\nAnswer: -h**3 - h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 9\/12)*-4. Let u(p) = p - 2. Let x be u(2). Differentiate 62*q + x + 0 - r - 61*q wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q - 1. Let i be l(-1). Suppose 115 = i*y + 2*f, 5*y = -f - 2*f + 110. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12605816, -25211624, -37817432, -50423240?\n\"Answer: -12605808*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 277, -667, -43 in increasing order.\nAnswer: -667, -43, 1, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166.958 + -0.042. Let z = 172 + l. Let s = 2 - 0. Sort z, -2, s in decreasing order.\nAnswer: z, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 * -5507\nAnswer: 363462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/60*23190\/(-24736)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1*(-30)\/(-2). Let j = -10 + b. Solve 0*x - j = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742324640 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3346129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -109, -159, -209, -259?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/146484 and -9\/988.\nAnswer: 2783196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 172198, 1377611, 4649474, 11021017, 21525470, 37196063, 59066026, 88168589?\n\"Answer: 172205*u**3 - 5*u**2 - 7*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 240*r*u**3 - 45*u**3 - 3 wrt r?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.025 - 3.975. Which is the nearest to -2? (a) -0.4 (b) -2\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29719 * 5\nAnswer: -148595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3087 greater than 3092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.193131l?\nAnswer: 3193.131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 429083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9048 - -20?\nAnswer: 9068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 1. Let d(q) = -4*q - 4. Let s be d(-1). Give c(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -39\/2 (b) -2\/17 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 16) in base 11?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 - -0.065\nAnswer: 0.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*r - 455774 = -456800 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -q - 1. Calculate the least common multiple of 2 and (-86)\/q - (-1)\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 16*f + 2. Let j be i(16). Solve 5*l = 3*o, -9 = -j*l - 0*l + 3*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11774 + 188283\/16. Calculate the common denominator of f and 35\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07659 and -50.301?\nAnswer: -3.85255359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20353 is divided by 20345.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18674, 18667, 18660?\n\"Answer: -7*y + 18681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*v - 20 = -r - 79*v, -2*r + 10 = 2*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71461 by 5497.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + l - 1430 + 1430 + 7*l**2 to r*l + u*l**2 + v and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 4:19 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8 = -g - 4*w, 0 = -4*g + w - 16. Let o be 35\/10 - 2\/g. Solve b - 3*b = o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 4*v + 28, 1 = -y - 6*v + 7*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34200756.\nAnswer: 2, 3, 397, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/i**(-8))))**(1\/8))**(-2\/121) assuming i is positive.\nAnswer: i**(-9\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 + 82*q\/3 - 273.\nAnswer: (q - 9)*(q + 91)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = -2*f, 2*f - 1 = -5*j + 11. Suppose j*i - 5*i + 1770 = 0. Round i to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from zzzkzzzkbbbb.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 22716*p + 22*p**2 + 3 - 22717*p to n + h*p + c*p**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60, 348, 864, 1608, 2580, 3780, 5208?\n\"Answer: 114*v**2 - 54*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 11:44 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7837385, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j. Let b(k) be the third derivative of 0*k**3 + 0 + 15*k**2 + 0*k + 1\/10*k**5 + 0*k**4. What is b(u(l))?\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 5*f + 1247, -4*f = 5*j - 0*f - 1561. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11241713, 11241710, 11241707, 11241704?\nAnswer: 11241701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 + -79. Suppose -j*i + 406 = 96. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -204811620 <= -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 5*n**2 + 2*n + 9. Let z be l(-5). Let d be (z\/5)\/(13 + -14). Factor 0 + 2\/5*p**2 + 1\/5*p + d*p**3.\nAnswer: p*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1213*h + 9. Let u(t) = 1213*t + 10. Let k(y) = -4*u(y) + 5*w(y). Let c be k(-5). Round c to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*t + 5. Let k = -0.56 - -0.6. Let z = k + 0.06. Put t, -3, z in descending order.\nAnswer: t, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a678 (base 11) to base 8.\nAnswer: -124613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-33))\/((-7)\/(-42)) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-9)\/((-45)\/10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000755059 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -7. Let m = 5 + p. Which is the smallest value? (a) 0.3 (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 2*m - 6*m + (0 - 4 + 2)*(0*m + 2*m - 5*m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 32 = s, -3 = -q + s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*g + 220*g - 513*g + 0 + 0 + 166*g.\nAnswer: 59*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/2 of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -28*(-88)\/((-16)\/(-4)) - 1. Let h = w - 426. Suppose 5*n - 113 = 4*a, 2 = n + 3*a - 13. Calculate the greatest common divisor of h and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*7739587.\nAnswer: -7739587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 + 138*v**2 - 2129*v + 232. Calculate p(-82).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t**3 + 92*t**3 - 53*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2170 divided by 1470?\nAnswer: -31\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5575 >= -5573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1390 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**3 - 12*j**3 - j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 3 = 37. What is the closest to 0 in 0.2, i, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-78070)\/(-4))\/(785\/942). Calculate the greatest common divisor of 111 and w.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, c: 4, j: 2, m: 6, a: 3}. What is prob of picking 1 m, 2 c, and 1 z?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 - 735 = -3*b - 2*y, 0 = -b - 5*y + 304. Solve -4 = -b*q + 282*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 - 24*p - 657. Is l(33) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-14) - (-1)\/(-2)*6. Does -5 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*n - 2\/3*n**3 + 4\/3*n**2 - 2\/3*n**4.\nAnswer: -2*n**2*(n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/15*(-1)\/2. Let o = -0.0931 - -0.0931. What is the third biggest value in k, 0.5, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 330634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 k when three letters picked without replacement from kkrkkkkkkkkkkkkkkkkk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 10. Let x(n) = -5. Let u(g) = a(g) + 2*x(g). Let d(s) = 447*s. Calculate d(u(j)).\nAnswer: -447*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23606 divided by 22?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100498 by 922.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2283375 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 49*f - 3. Let s be p(2). Let w = 176 - s. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12778*i**3 + 5606*i wrt i?\nAnswer: -76668*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119219801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**1)**(-25\/2)\/(a\/(a**0*a)*a*a\/(a**(-3)\/a*a)))**5 assuming a is positive.\nAnswer: a**(-175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 988, 3858, 8644, 15340, 23940, 34438?\n\"Answer: -x**3 + 964*x**2 - 15*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 5. Let b = 8 + -3. Let s(y) = -y**2 - 4. Suppose -143*d = -5*t - 148*d + 35, -4*d = -4*t + 20. Determine b*a(u) + t*s(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 4}. What is prob of sequence vv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35493551 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 + -90. Suppose -2*t - b = -4*w, 3*w - 48 = -w - 2*t. Let l = 3 - -3. Calculate the least common multiple of l and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6528000 a multiple of 2400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + -0.34. Let s = -14.5 - -13.5. Let p = -166\/261 - -12\/29. What is the second biggest value in p, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-27)\/15 + 2). Let n be 1352\/28 - -1*2\/(-7). Let x = a + n. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**5\/12 - 15*v**4\/8 + 35*v**3\/3 - 193*v**2 - 6. Determine f, given that t(f) = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (240\/(-300))\/(-2 + 38\/20). Suppose 5*w - 2*w + h = 70, -26 = -w + h. Suppose -m*y - w = -11*y. Calculate the least common multiple of 2 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 153*o + 158*o + 13 = 0, 5*g + 3*o - 13 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -5, 0.04, -2\/11.\nAnswer: -5, -1\/4, -2\/11, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -14*q**2. Let h(v) = -4*v - 44. Determine h(n(l)).\nAnswer: 56*l**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p + 4. Let w(z) = 6*z + 4. Let v(k) = -3*d(k) + 2*w(k). Let l be v(-3). Suppose 0 = n - 16 - l. Calculate the remainder when 83 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - -3.73. Let v = 8.3 + z. Which is the nearest to -1? (a) -5 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54579\/29 or 1883?\nAnswer: 54579\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9 = 2*k. Is 8\/6*k\/6 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i - 23*i - 43*i + 70*i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(5*sqrt(88)\/sqrt(11)))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q*q\/q**(-1\/4)))\/q*q)\/q*q\/q**(-4))\/(q*(q\/(q**(-5)\/q*q))\/q*q*q*q*q*q\/(((q*q**6)\/q)\/q)) assuming q is positive.\nAnswer: q**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56\/99 - -4\/33. Let r be (-155)\/75 + (-18)\/(-45). Let x(j) = j + 14. Let k be x(-14). Which is the closest to k? (a) r (b) -1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 + f**5 + 4*f**5 + (f + f - 3*f)*(-f**4 + 6*f**4 - 3*f**4) + 5*f**5 + 2*f**5 - 6*f**5 + (2 + 3*f**3 - 2)*(f - 4*f**2 - f) + 2*f**5 + 0*f + 0*f.\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/14)\/(((-2)\/28)\/(15\/(-240)))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/13))\/(u*u*u**(-1\/2)))\/(u*u**(-2\/5))**(-46) assuming u is positive.\nAnswer: u**(3503\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 353 - 348.921. Let z = 0.321 + g. Round z to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 + 5 + 8*s - 5 + 2*s**3 + 0*s**3 as r*s**3 + y + n*s + j*s**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/2788 and 5\/574?\nAnswer: 19516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t + 7. Let g be d(5). Does 4 divide 260\/g + (-10)\/(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48002*q + 43673*q - 91669*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7751?\nAnswer: 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*n - 1267 = 0, -8*n + 4*n - 3771 = -3*o. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30022 - -10123102322?\nAnswer: 10123012300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**2\/2 - r - 1. Suppose -53*w = -52*w - 2*k - 5, 0 = -3*w + 2*k + 11. What is q(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) + (-45)\/(-4). Let m be 176*(1\/(-2) - -1). What is the greatest common factor of t and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 5*h**4 - 20*h**4 - 78 - 2*h + 14*h**4 to the form f*h + n*h**4 + d + r*h**2 + i*h**3 and give d.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127.8 - 128. Which is smaller: -35 or p?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/772485 and 113\/60.\nAnswer: 3089940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 12*m - 8. Let o be g(11). Suppose 0 = -o*i + 6*i. Is 4 a factor of (-7 - -7) + 14 + i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = -i. Let v be 12*(-6)\/(-9)*i. Does 19 divide v\/(-12) + (-110)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 134 = -3*z + 650, -4*z + 689 = -5*y. Suppose -3*t = -0*t - z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*g + 4*g + 7*g**4 - g - g to l*g**2 + w + k*g + c*g**4 + b*g**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4938341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -752449 > -8276940\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13475, -53864, -121175, -215408?\n\"Answer: -13461*o**2 - 6*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**5\/15 + j**4\/18 + 8*j**3\/9 - 4*j**2\/3 + 15*j. Factor i(g).\nAnswer: -2*(g - 2)*(g + 2)*(2*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*v + 4359, -4*i - 34*v + 29*v + 5812 = 0. What are the prime factors of i?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**5\/9 + 554*k**4 + 431542*k**3 + 967334590*k**2\/9 + 24951434144*k\/3 - 8425058432 = 0.\nAnswer: -1064, -183, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + (0 - 5) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 + 65*r**2 + 200*r = 0. What is r?\nAnswer: -8, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 14, -0.5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-1)\/(1\/(-18)). Let i be (-3)\/k + 245\/(-25). Let v = i - -16. What is the highest common divisor of v and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -251, -428, -585, -716, -815?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25836 - 25818. Solve 0 = -8*b - a - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.9 (b) -3\/23 (c) 2\/15 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 j when three letters picked without replacement from {e: 4, q: 1, a: 8, j: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**2 - 3*c**2 - 3*c**2 + (c + 2*c - c)*(2 - 2*c - 2) + 4*c**2 - 3*c**2 + c**2 - 2*c**2 - c**2 + 4*c**2 - c**2 + c**2 - c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**6)\/((v\/(v**0*v))\/v)*v**10\/(v**(-2\/5)*v) assuming v is positive.\nAnswer: v**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(6\/(-7) - (-69106)\/(-14))?\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -6622\nAnswer: 1324.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/f*f**(2\/11))**(-8)\/((f**3\/(f*(f*f\/(f*(f**(-1\/11)*f)\/f)*f*f)\/f))\/(f*f**(-2\/7))**(-1\/10)) assuming f is positive.\nAnswer: f**(7171\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205 + 211. Suppose -16 = 2*k + 4*u - 0*u, 4*k + 7 = -3*u. Suppose k*v - l = m*v - 705, -2*v - 5*l = -339. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2636 and 0.01.\nAnswer: 26.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25734, -25585, -25444, -25311?\n\"Answer: -4*d**2 + 161*d - 25891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6937712 and 5?\nAnswer: 34688560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11972 is divided by 87?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 - 63 = 0. Suppose 5*s - c = 56, -2*c + 9 = -s + 2*s. Suppose 630 = -q + s*q. What is the remainder when q is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/18)\/(16\/96)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471.4692ml in litres?\nAnswer: 0.4714692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2008 and 13117511.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 643*s**6\/30 - 77*s**5\/60 + 5*s**3\/2 + 302*s**2 + 5*s. Find the third derivative of t(y) wrt y.\nAnswer: 15432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 2532320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 15 + 9 = 0, 0 = 5*z + m - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = h, 5*h + 3*k = 12 + 16. Solve -5*j - m - 2*m = -17, h = -5*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -237923\/11692?\nAnswer: -237923\/11692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1108 and 32?\nAnswer: 8864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*f - 6863 = 1834 - 2327 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1924)\/7696*252\/99\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - p = 2116, -f = -0*p - 3*p - 529. Let o = f + -360. What is o rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701855.6 milligrams in tonnes?\nAnswer: 0.0007018556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*8\/10 - 0 and 34\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 525 and 77.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5)\/f)\/((f\/f**(3\/2))\/f))\/(f**5*((f\/f**(-10\/9))\/f*f)\/f*f))**(-49) assuming f is positive.\nAnswer: f**(10241\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 - 4.6. Put 5, j, -2\/35 in ascending order.\nAnswer: j, -2\/35, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139 by -21.\nAnswer: -139\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -125 (b) -6\/19 (c) 4 (d) -1\/204 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 102*y**3 + 4*y**2 + 34*y + 19. Let w(q) = -21*q**3 - q**2 - 7*q - 4. Let k(u) = -19*w(u) - 4*x(u). Determine k(2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*d - 4. Let o(z) be the second derivative of 0 + 0*z**3 + 0*z**2 + 1\/30*z**4 + d*z. Factor o(k).\nAnswer: 2*k**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4503 - -4505. What is the closest to -0.3 in -6, 32, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 + 310*h\/3 + 619\/6.\nAnswer: (h + 1)*(h + 619)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*m + 196 = -8*d, 4*d = -3*m - 195. Let g = d + 66. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 2 + -1 - (1 + (sqrt(80)*2)**2).\nAnswer: -320 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 137 + -29 + (-47 - -37) + 1?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1098 + 1098.1. What is the nearest to -0.3 in -2\/23, 2\/3, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106343 is divided by 5505.\nAnswer: 5343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 61. Let c(i) = -3*i**2 + i**l - 3*i**3 + 3*i**3 + 6*i - 3*i**2. Calculate c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u + 3. Determine o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25 + -20 + (1 + 0)*-1. What is the common denominator of (-12)\/x - 1\/(-16) and (-2)\/(-8) - (-102)\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = -1. Suppose 5*f = 5*x + 9 - l, 16 = 5*x + 2*f. Let d = -74 + 72. Which is the closest to d? (a) x (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 143523*j + 1721844.\nAnswer: 3*(j + 12)*(j + 47829)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -983078 divided by 983078?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1577, -1585, -1595, -1607, -1621, -1637?\nAnswer: -1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 29 = -3*s, -s = 3*k - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o. Suppose -5*n + 63 + 92 = o. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -136*g - 145. Is b(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 - 12*q**4 + 54*q**3 - 60*q**2 + 21*q = 0. Calculate q.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 1034 = 82*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/57246 and 61\/126?\nAnswer: 171738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4892 + 2*g - 6*g**2 + 216*g**3 - 2*g**2 + 9775 - 4883 to the form a*g + h + i*g**2 + o*g**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -11*x - 1464. Let f be 117\/(-39)*(2\/x)\/1. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -21151419?\nAnswer: -63454257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*2 - sqrt(119))*-2 - 2*sqrt(119)*-5)\/((-1*sqrt(63)\/sqrt(3))\/(sqrt(24)\/(sqrt(16)\/sqrt(2))))*4.\nAnswer: -32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + 5*k**2 - 27*k - 30. Let u be j(14). Is (8 + -9)\/(-1*(-2)\/u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -7 + -1 + (2 - 1 - -214)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**4 - j**3\/3 + 7*j + 2. Let b = -232 + 227. Let h(a) = -2*a**3 + a**2 - 4. Calculate b*h(l) - 3*s(l).\nAnswer: -2*l**3 - 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12857 - 347084\/27. What is the common denominator of r and -169\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wre when three letters picked without replacement from rweerrbwrbe?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/16730 and -47\/681150.\nAnswer: 4768050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567868 is divided by 566464?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**2 + 26*z + 19. Let h be o(8). Let l = 137 - h. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 0.2, 47, -1\/3, 4.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*h - 21, 0*f - f - h + 11 = 0. Suppose 0 = f*m - m - 20. Suppose 2*a**3 - 2*a - 2*a**2 + 24 + 2*a**m - 24 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2. Let r(o) = 7*o - 11. Let w(a) = 10*a - 17. Let z(m) = 7*r(m) - 5*w(m). Let p be z(6). Let f(l) = -2 + p + 2*l. Determine f(k(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 5*g + 5*g)*(-2 + 3 + 4) + 1 - 1 + 2*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1517, -12707, -43381, -103373, -202517, -350647, -557597, -833201?\nAnswer: -1187293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 748, 1511, 2274, 3037?\n\"Answer: 763*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5988 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -338669 plus -207.344162?\nAnswer: -338876.344162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85.1 + -20290072989.\nAnswer: -20290072903.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10\/7)\/(h*h*h\/(h*h*(h*h**6)\/h*h)))**(-1\/18)*((h**(-1\/3))**(1\/9))**(1\/10) assuming h is positive.\nAnswer: h**(-487\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 3*h + 25, -2 = 2*h + 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 168*x + 165.\nAnswer: 3*(x - 55)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -497 - -501. Solve -x + 13*m = 10*m, 2*x + u = 2*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/7 + 74*s\/7 - 20 = 0?\nAnswer: 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 18. What is the greatest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + -1.4. What is the third biggest value in -1\/9, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/(f**(-13)*f)*f*f)))\/(f\/f**(-3\/10)))\/(f**8*f**(-2\/37)\/f) assuming f is positive.\nAnswer: f**(2499\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -68. Solve -b = -2*u - u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*y - 7. Let t = y + 10. What is the remainder when t is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1165*v + 9328. Determine u(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-6)\/12)\/(-1). Suppose 37*q + 13*q = i. What is the nearest to q in 0, 3, 1, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -76? (a) -4 (b) 14 (c) 1 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1680)\/56 + 0 + 22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-90) - 66\/140\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 10 - 23)*(0*c**2 + c**2 - 2*c**2) + (-3*c**2 + 2*c**2 + 2*c**2)*(-1 - 2 + 5) to the form l*c**2 + y*c + w and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*l**3 - 18*l**3 - 22*l**3 - 14*l**3 - 427*l + 427*l.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 114220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grrrgrgrrgrrrggrrrg. Give prob of sequence rgr.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17*w**2 + 10*w + 6. Let d(a) = 15*a**2 - 12*a - 4. Let m(o) = -7*d(o) - 6*y(o). Calculate m(12).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -129. Let j = t - -36.7. What is the nearest to -1\/4 in -1, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4968, 4964, 4958, 4950, 4940, 4928, 4914?\n\"Answer: -c**2 - c + 4970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8104 - 8102 = k - 2*m, 8*k - 4*m = 64 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {p: 4, i: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**4\/24 - 12*k**2. Let r(x) = -x**3 - 3*x**2 + 3*x + 1. Let j be r(-4). Let d(g) = 5*g + 3*g - j*g. Give q(d(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 32471 (base 10) to base 16\nAnswer: 7ed7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = o - 8. Let t = 78 + 82. What is the highest common divisor of t and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1491915 - -1491917. Factor -2*m**c + 54\/11*m + 36\/11.\nAnswer: -2*(m - 3)*(11*m + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + 3*w**5 + w**2 + (-2*w**2 - 2*w**2 + 3*w**2)*(642*w**3 - 23378 + 23378).\nAnswer: -639*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599*w + 17577 = m + 594*w, 5*m + 4*w = 88001. List the prime factors of m.\nAnswer: 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 679 - 609. Suppose -t = i - 116, -2*i + 48 = t - p. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h - 1. Let j be s(1). Let m = 3.6 + 0.4. Let q = m + -4.1. What is the second biggest value in q, -2\/3, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -643*s**2 + 114 + 6 - 120 as o*s**2 + l*s + f and give o.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 - -135. What is the units digit of b\/(-18)*-3 + (-11109)\/(-63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 8895510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48999 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -210, 2\/25 in descending order.\nAnswer: 2\/25, -12, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4038 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 98 (c) 1\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1613?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 1. Suppose 0 = o + 2*o - 6. Let u(n) = -3. Let r(b) = o*u(b) - 6*p(b). Let j(z) = -z**2. What is j(r(s))?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -733656, -733655, -733652, -733647, -733640?\n\"Answer: u**2 - 2*u - 733655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 13. Let n be (-68)\/102 - 1\/(3\/(-371)). Suppose -122*w - 5 = -n*w. Put 0, a, w in increasing order.\nAnswer: 0, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 - 1 - 4*y**5 + 2*y**5 + (-4*y**2 + 5*y**2 - 2*y**2)*(0*y**2 + 0*y**2 + y**3) - y**5 + 3*y**5 + 0*y**5.\nAnswer: -y**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from {a: 2, v: 5, s: 1, r: 6, z: 5, o: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + -1. Let t = 48 + -146\/3. Suppose 4*i + 5*v = -31, 3*i + 4*v + 3 = -21. Put i, r, t in ascending order.\nAnswer: i, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991170?\nAnswer: 2, 3, 5, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -397*n**3 - 54005*n**2 - 8*n + 465484 wrt n?\nAnswer: -2382*n - 108010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -185 + 174 - (-94 + -1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2\/7*o**2 + 4\/7*o - 2\/7*o**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a + 123. Let q be u(-19). What is the second derivative of -q*p**3 - 43*p**3 + 26*p**3 + 15*p**3 + 23*p - 58*p**3 wrt p?\nAnswer: -1668*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.268 times -78.721\nAnswer: 21.097228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 8*b**2 - b - 2. Let r be v(7). Let y = r - 85. Let d = y - -256. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 14*g + 122. Let i be q(-20). Let r(c) = 2*c**2 - 2*c - 4 + c**3 + 2 - 3*c**2 + c. Calculate r(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**3\/6 - j**2\/2 + 64*j. Let y(p) = -78*p - 6. Let z(q) = 2*w(q) + y(q). Differentiate z(s) with respect to s.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 106197141 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpkpmhghpmm. What is prob of picking 1 j, 1 m, and 1 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + p - 4*p)*(7337 + 1092*p**3 - 7337)*(-1 - 2 + 1) to the form c + d*p**3 + g*p**4 + w*p**2 + a*p and give g.\nAnswer: 4368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*i = 993 - 11443 + 6575 - 12509 for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534 - 658 - 1164 = -41*t + 885 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n**4\/2 + 5270*n**3 - 1779375*n**2\/2 - 300665*n + 594300 = 0. Calculate n.\nAnswer: -1, 2\/3, 283, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*t = 4, -3*c - 5*t + 15 = -7. Suppose 0*b + 2*b = 0. Suppose 17 = -3*d + 4*d - 3*x, b = -5*d + 2*x + 33. Is d less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-910*m - 7*m + 160*m)*(-2*m**2 + m**2 + 2*m**2 + (2*m + m - 2*m)*(-2*m - m + 2*m) - m**2 + 1 - 1) in the form d*m**3 + z*m + j + b*m**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*s - 4*o, 4*s + 3*o = 15 + 2. Let h = s - -44. Suppose 0 = 63*u - 64*u + h. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1174*h - 188923 - 688*h + 183416 with respect to h.\nAnswer: -1862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 1, 1\/2, -2\/9, 2 in descending order.\nAnswer: 2, 1, 1\/2, 0.04, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 15 = 0, 4*s - k = 5*s + 421. Let j = -424 - s. Suppose 5*h + 3 = 23. Solve h*v = -12, j*o = o + 2*v + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22118.\nAnswer: 2, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*c + 4. Let j = c - 11. Suppose 0 = 4*r - 5*r + j. Solve -16 = -5*o + u, -4*o = -5*o + 3*u - r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -103, -281, -523, -829, -1199?\n\"Answer: -32*j**2 - 82*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 4. Let l be k*(12\/(-9))\/(-4). Let c(q) = q**3 - q. Let v(j) = 4*j**3 + j + j**3 - 4*j**3. Give l*c(g) - v(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22034033 (base 7) in base 14?\nAnswer: 3731c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-5 + -1*sqrt(500) + -4 + sqrt(500))*6*-6*2)**2)*-4.\nAnswer: -1679612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*f + 4180 = 276*f. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -273436 + 230233145\/842. Find the common denominator of -67\/10 and i.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -57558.\nAnswer: 230232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.1 (c) -2\/9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/5, 1.5912, 8.7 in descending order.\nAnswer: 8.7, 4, 1.5912, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44*c**3 + 102*c**3 + 384*c**3 + 423 wrt c?\nAnswer: 1590*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**5\/30 - 508*m**2. Let p(q) = -4*q + 3*q + 5*q. What is c(p(w))?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4894*f**2 - 5755*f**2 + 3696*f**2 to p + i*f + d*f**2 and give d.\nAnswer: -6953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101704901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.1. Let n = -394058 - -394057. What is the closest to p in 5, n, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*a - 11. Suppose a*k - 36 = 2*k. Let v = -6 + k. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 3, s: 5}. Give prob of sequence jj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (9\/(-12))\/(2\/(-40)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 144 in 0, -0.07, 5, -3\/5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192*0.1.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 320 = 48*s. Sort -20, s, 5 in ascending order.\nAnswer: -20, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.490536109 and -1.5.\nAnswer: -7.990536109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 4*q**2 - 4 - q**2 + (-2*q + 1 - 1)*(5*q - 5*q + q) + 4*q**2 + 0*q**2 + 3*q**2 in the form u + n*q + x*q**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 2. Suppose -4*r = 2*l + 8, 2 = -3*l - 0*l + 4*r. Let j be u(l). Calculate the greatest common factor of 42 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/5 - 92*p**3\/5 + 1408*p**2\/5 - 7168*p\/5.\nAnswer: 2*p*(p - 16)**2*(p - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 9*g**3 + 429*g**2 - 585*g + 147 = 0.\nAnswer: -49, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:02 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(5) - (sqrt(5) - (sqrt(5) + (sqrt(5) - sqrt(10)\/sqrt(2))))) - 2*3*sqrt(18))\/(2*4*sqrt(1296)*-1).\nAnswer: 5*sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g - 4 = -4*w, -5*w = -2*g - 5. Suppose 3*k + g*k = -3. Let m(s) = 51*s**2 - 1. What are the prime factors of m(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o + 512 + 76 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -426 - -460. Suppose 19*b - 14*b - 90 = -5*a, 3*a - x = b. What is the remainder when 401 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 4 (c) 14 (d) 6 (e) -16\/5 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.092057127 and -168.\nAnswer: -167.907942873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 6 = 4*l + 17, 3 = -x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488638980?\nAnswer: 2, 5, 124431949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**30))\/(f*f*f**(-1\/9)\/f*f*f*f) assuming f is positive.\nAnswer: f**(235\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwwjwjjw. Give prob of picking 1 w and 3 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818 divided by 909?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*p = 80*p - 535. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55956936 by -4.\nAnswer: 13989234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (300\/375)\/(16\/2040)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*a - 776 + 815 = 0, -4*d - 3*a - 35 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/14238 and 65\/190104194.\nAnswer: 1710937746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 2. Let j(p) = -19*p**2 - p. Let m be j(1). Let n be m\/(-4)*(-4 + -1). Let c be (-10)\/n - 44\/10. What is a(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38362*f - 12 = -38356*f + 3*a, 3*f - 8 = 2*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r = -443 + 1134 - 119 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbx when three letters picked without replacement from {x: 2, i: 9, b: 1, c: 7}.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -411*t - 12740 + 1942 - 6875 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/((-6)\/(-18)). Suppose -2 = 2*s, -2*o = w*o - s - 2313. Suppose 3*t - 576 = -t - 4*z, -4*t - 2*z + o = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 30456?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4608) - (sqrt(4608) + -1)) + sqrt(32) + -5)**2.\nAnswer: -32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(3\/7))**(-2\/7))**(-40) assuming d is positive.\nAnswer: d**(320\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(5) - sqrt(55)\/sqrt(11)) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/1 + 0 + 0. Let k = -4\/7 - -8\/7. Which is the third biggest value? (a) -2 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2432120*m**3*r - 11*m**2*r - 60*m + 5*r + 10 wrt m.\nAnswer: 14592720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756872 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029936184 rounded to 5 dps?\nAnswer: -0.00299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 26*y**3 - 4*y**2 - 4. Let k(c) = -12320*c**2 - 16*c**3 + 12322*c**2 + 2 + 9*c**3 - 6*c**3. Give 7*k(b) + 4*n(b).\nAnswer: 13*b**3 - 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-7))\/((58\/(-21))\/(22\/66))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 342 (base 10) to base 8\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 338.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(-1*sqrt(10)) + sqrt(3) + sqrt(3) + sqrt(27) + -2 - (0 + sqrt(3) + -5 + sqrt(3) + 5))**2 + -1.\nAnswer: -8*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 314040241 <= 314040238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1140, -1146, -1172, -1230, -1332, -1490, -1716?\n\"Answer: -2*o**3 + 2*o**2 + 2*o - 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001778702 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 + 10 + 3*i**3 - 3*i**4 - 12 + i**2 in the form p*i**2 + o*i**3 + z*i**4 + x + k*i and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-158)\/2)\/(4\/(-20)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 6*o + 5. Let p be n(4). Let u be 12\/(p - 1) - -6. Suppose 0*i - 111 = -u*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-822)\/4)\/((-42)\/(-56)). Let c(u) = 34*u. Let g be c(-5). Let q = g - i. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 8}. Give prob of sequence shh.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 16849*a**3 - a - 5*a**2.\nAnswer: -16849*a**3 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53883 is divided by 1310?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -967.47777 to zero decimal places.\nAnswer: -967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14\/(-28) - 54\/(-4) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 w, and 1 j when four letters picked without replacement from {f: 1, l: 5, h: 2, j: 1, w: 2, a: 6}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.1 - -13. Let u = -12.1 - -14. Let y = d - u. What is the third smallest value in -0.5, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 4*j. Let h be i(3). Let r(q) = -q**2 - q - 1. Let w be r(-1). Let p = 871\/1953 + -1\/651. Which is the nearest to h? (a) w (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/41737 and -70\/3.\nAnswer: 125211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -111*w + 107*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: a2 (base 13) to base 7\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 - 56*b - 86. Let c(s) = 5*s**2 + 55*s + 85. Let y(u) = -6*c(u) - 5*w(u). Solve y(f) = 0 for f.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 41\/24*x**3 - 4\/3*x**4 + 1\/168*x**7 - 2 + 23\/40*x**5 - 7\/60*x**6 + 2*x - 5\/4*x**2. Find i such that g(i) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9))\/((-4)\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.2. Let o = h - -3.1. What is o rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -2*x**6\/3 + 7*x**3\/2 - 12*x - 18. Let i(s) be the first derivative of n(s). Find the second derivative of i(g) wrt g.\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 0.5, -1, 4\/3, -5.78?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 21*u**2 - 15*u + 24. Give o(-22).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - t + 4. Let q be x(3). Suppose -2*r + 2*w + q = 0, 53 = 4*r - 0*w - w. Solve 2*j = -4*v + 14, -5*v + 3*j + r = -10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 6*u**2 + 3*u**2 + 5*u - 2 - u**3. Let r be (280\/(-112))\/((-2)\/(-4)). What is the remainder when i(r) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 11.6.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 80660, 0, -74 in increasing order.\nAnswer: -74, 0, 80660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3115 - 3054. What is the closest to -0.2 in 1, s, 0.5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 22 = a. Suppose -15*q = -q - 1232. Calculate the highest common divisor of q and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185738 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132441, 264888, 397335, 529782, 662229, 794676?\nAnswer: 927123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -38. What is the closest to -8 in n, -2\/15, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96099941?\nAnswer: 7, 41, 334843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-40))\/((-1)\/4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12244 + 1?\nAnswer: -12243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5618224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/2)\/(-4 + 2). Solve 12 = -j + 5*f, 2*j + 0*f + 2*f = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5 - 1. Let t be (9\/6)\/(1\/z). Suppose v = -3*j - t, 3*v + 3*j - 3 = -0*j. Solve 4*f = -p - 4 + 21, 11 = v*f - p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 + 47. Let h be 6\/(-1*(-3 - i - 1)). Suppose -5*u - 2*w = -76, -2*u - h*w + 2*w + 31 = 0. What is the highest common factor of u and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 65*k**3\/3 + k**2\/2 - 26*k - 40. Let i be n(-14). What is i rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 21*r - 55. Let t(j) = -3 - 89 + 2*j**2 - 42*j + 202. Let h(y) = 5*o(y) + 3*t(y). List the prime factors of h(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/62 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3206051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 8, -3.\nAnswer: -4, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 - 26382248*p\/5 + 174005752383376\/5.\nAnswer: (p - 13191124)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3\/7, -1, -241\/2, 0 in ascending order.\nAnswer: -241\/2, -9, -1, -3\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 610, 1206, 1804, 2404, 3006, 3610, 4216?\nAnswer: 4824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/3, -15, 12, 3052\/3 in descending order.\nAnswer: 3052\/3, 12, 2\/3, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 802274 (base 11) in base 6?\nAnswer: 43402401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 88200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*z - 3*h - 6, 0 = h + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 345 + -243. Calculate the remainder when 391 is divided by z.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52770 + -181?\nAnswer: 5259a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4090 + 4090 + 604*g**2)*(2*g**2 - 2*g + 2*g + (2 + 2*g - 2)*(0*g + 2*g - 4*g)).\nAnswer: -1208*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n - 76. Determine w(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*(54 - 32 - -11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 3*b = -10*q + 12, 4*q + 668 = 2*b + 684 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1324 or 80480?\nAnswer: 80480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7428246 is divided by 151594?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okzhhzoozkozrzzrorhz. Give prob of sequence hoz.\nAnswer: 7\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58846409 or 58846411?\nAnswer: 58846411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0772446ml in litres?\nAnswer: 0.0000772446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5c8 (base 15) to base 9\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -707998, -707629, -707258, -706885?\n\"Answer: v**2 + 366*v - 708365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10066429?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 3*y = -3*d + 957, 5*d - y = 1617. Calculate the greatest common factor of d and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-45))\/((-7)\/21)*5\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.306054 years to months.\nAnswer: 51.672648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14.263 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73369 + 17492 = -1051*g + 264*g for g.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -526 + 520. Let d be 41\/24 + 2\/(-6). Let i = 137\/88 - d. Sort 1, b, i in ascending order.\nAnswer: b, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -0.2. Let z = 9410.800214 - 9412. Let n = l + z. What is n rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*h**4 - 22*h**2 + 26*h**2 - 53*h**4 + (3 - 3 - h)*(3*h**3 - 2*h**3 - 2*h**3) + 0*h**4 + h**4 - 3*h**4 + 2*h**4 - h**4 + h**4.\nAnswer: -8*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3480867033 to the power of 1\/4, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105 + -312600?\nAnswer: -313005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 2 + 7 - 3 - 36*q to b*q**2 + r + p*q and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 296 = -4*h, 5*c = 29 - 9. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 4*q - 8. Let n be g(6). Let z(u) = 3 + 2*u**2 - 7*u - 1 + 2. Does 8 divide z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6746802 divided by 2248934.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 7, -1 in descending order.\nAnswer: 7, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*y + 884*y = 1370*y + 6190 + 4124 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = y + 4*y. What is the remainder when 1*2 - (-11 - 2) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 2:05 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 + 7 = 0. What is the derivative of -r + 4*r - r + p wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 - 547 - 536)*(3 + 9*p - 10 + 9).\nAnswer: -11070*p - 2460","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 788816, 1577653, 2366490, 3155327, 3944164?\nAnswer: 4733001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2620 divided by 20.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-7)*1736\/93\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 171, 142, 101, 48?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 576603\nAnswer: 29\/576603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 9\/(9\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (1 + 1)\/(-2). Suppose k + 2 = 3*y, g - 2*y - 14 = 0. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189303808?\nAnswer: 2, 223, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 343519 - -10927.1?\nAnswer: 354446.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 0.4155.\nAnswer: -3.7395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**3 + 27*g**3 - 44*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + 3*q**2 + 6*q - 70. What is a(-5)?\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 34. Let k(j) = -j**3 + 5*j**2 - 8*j + 4. Let c be k(d). Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19ea (base 15) to base 9\nAnswer: 7634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -135 (b) 0.2 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztal when four letters picked without replacement from {z: 1, g: 1, t: 2, a: 3, l: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 5\/5 - (-15 + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011011 (base 3) to base 14.\nAnswer: ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*w - 30 + 338*w - 73*w - 72*w - 125*w.\nAnswer: 2*w - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-0.44137.\nAnswer: -0.353096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 20 - (-6)\/(-63).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/10)\/1*(-28)\/(560\/(-250)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/19)*g)\/(g*g**34))**(-1\/19) assuming g is positive.\nAnswer: g**(625\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*d - 184 + 184 + (2*d - 1 + 1)*(6 - 4 - 1)*(-8 + 0 + 6)*(6 - 3 - 1 + (0 + 1 - 3)*(0 - 3 + 1) - 1 - 1 + 0).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + 8 + -4 - -9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:52 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k + 4. Let y be (12\/30)\/(1\/5). Let r(m) = 4 + 2*m + y - 3 - 4*m. What is -3*i(v) + 4*r(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0096548 to 5 decimal places.\nAnswer: -0.00965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 326119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + 0*a**2 + 0*a**2)*(0 + 4 - 3) - 5*a**4 + 3*a**4 + 4*a**4 + 2*a**4 + 5*a**4 - 6*a**4 + 2*a**4 + 4*a - 4*a + 12*a**4 + 78*a**2 - 78*a**2.\nAnswer: 19*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5075900 is divided by 9799.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 969 - -3?\nAnswer: 96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**3 + g**2 + g. Let h be s(-1). Let p = -2.526 - -4.526. Let w = 0.348 - 0.048. What is the fourth smallest value in h, p, -1\/8, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-80))\/((-2)\/(24\/(-2)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 8*n**2 - 2*n + 17. Let b be i(8). Let m = -2.06 - -1.66. Put 18\/11, b, m, -2 in ascending order.\nAnswer: -2, m, b, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -30. Suppose -2*u - 4*x = -0*x + 4, 3*u - 4*x - 14 = a. Calculate the smallest common multiple of 9 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p + 20. Let m(i) = -69*i**2 - 759*i - 4. Let u be m(-11). What is c(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/(-24))\/((-1)\/(-2)))\/((-25)\/10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1486042 and 12?\nAnswer: 8916252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1653 + 1951. Suppose -2*p + 8*v - 12*v + j = 0, -p = 4*v - 1812. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 38*f + 1. Give c(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06815787 rounded to three dps?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 657*z = -656*z + 5, -5*x + 5*z = 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8*n + 1)*(-1 - 1 + n + 4).\nAnswer: -8*n**2 - 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3212 * -23\nAnswer: 73876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*d = -144*d - 80*d - 6718 + 6126 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 1\/2*l**3 + 0 - 1\/2*l**2 + 19*l. Suppose 4*u + 1 = -11. Calculate b(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*a + 1)*(-3 - 1 + 2)*((-4 - 1 + 1)*(-1 + 4 - 2) - 2 - 3 + 2).\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 520 + -524.93. Let h = w - -4.9297884. What is h rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - 2*(-37)\/2. What is the greatest common divisor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 260 + 927*m - 260 as l*m + f and give l.\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34509\/2 + 17254. Which is the nearest to 2594? (a) 0.5 (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4*13\/((-78)\/(-63)) - (99 - 97).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g**3 - 4*g**2 + 3*g + 2. Let p(v) = -41*v**3 + 18*v**2 - 11*v - 9. Determine -2*p(t) - 9*w(t).\nAnswer: -8*t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**3\/3 + 13*p**2 + 4*p - 22. Calculate the remainder when z(8) is divided by 1720\/45 + 4\/(-18).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1*-16736\nAnswer: 16736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (-1 + 1*sqrt(175)))**2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -186, 1, -1 in increasing order.\nAnswer: -186, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18738563*f**3 + 712*f + 38640 wrt f.\nAnswer: 112431378*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, e: 2, a: 4}. Give prob of picking 2 e.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11806 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 24 = -3*l + 50, -12 = 8*s - 4*l + 82 + 58 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2. Let r(d) = -d**2 - 82. Determine r(m(t)).\nAnswer: -4*t**4 - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-444)\/(-87) + 1. Let j = 95\/203 + g. Calculate the common denominator of (37\/(-2))\/(44\/(-8)) and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 1031824300*o + 53233069303524500.\nAnswer: 5*(o + 103182430)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 78 - 28 = 0. Let n(x) = -39*x**2 - 474*x - 106. Calculate the smallest common multiple of n(-8) and k.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3461 and 3468 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 14*a - 5*a. Let z(v) = -v**2 + 4*v + 8. Let t be z(a). Let k = -21 - -24. Solve -2*d + d + 5*w + 30 = 0, t*w + 30 = k*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6*v - 64. Calculate the highest common divisor of v and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0097004757 rounded to four dps?\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/72 and 121\/90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 4*j**2 + 2*j + 1. Let m be h(0). Let z(d) = -10*d + 8*d - 17*d. Give z(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 16, -5, 0.1158 in decreasing order.\nAnswer: 16, 0.1158, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-2\/17)*y))\/(y*y**(-2\/33))*y**(1\/7)\/(y*y**(-2\/5)) assuming y is positive.\nAnswer: y**(-5476\/19635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((3 + (sqrt(2)*-2*-2 - sqrt(2)))*1)**2 + -4 + sqrt(14)\/(-1*(sqrt(112) + sqrt(7)))).\nAnswer: -534*sqrt(2)\/5 - 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 498, 236 in descending order.\nAnswer: 498, 236, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 4*r**2 + 4*r + 7. Let i be n(5). Solve 2 = i*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -192 + 197. Suppose -1006 = -3*f - 5*p, -a*f - 6*p = -p - 1660. List the prime factors of f.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 2 + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/10 - 1 - 192\/30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 6 - (18 + -6 - -13)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -12 (b) -1\/3 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3977, 12, 4, 85 in decreasing order.\nAnswer: 3977, 85, 12, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/2 + 99*j**2 - 189*j\/2 - 195.\nAnswer: -3*(j - 65)*(j - 2)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/21*(-324)\/540?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360432.5 millimeters to kilometers.\nAnswer: 0.3604325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23408804401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -s, -5*u + 20 = -0*u - s. Solve o + 0 + 13 = -u*i, 4*o - 3*i = 23 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 - 2*b**3 + b - 3*b + (-2*b - 3 + 3)*(-2*b - 2*b**2 + 2*b) - 3 + 3 + 3*b**3 to o*b**2 + t + w*b + j*b**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (-1 + sqrt(396) + 4)**2*2).\nAnswer: -4854 - 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 30 = 3*f, f = -5*h + 2*f + 88. Solve -2*i = -2*d + 5*d - 7, -2*i + 2*d - h = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(2 + 0)*-1. Suppose 0 = -3*t - 4*w - 12, -5*w - 19 = 5*t + 1. Sort 5, x, t in descending order.\nAnswer: 5, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 50646?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113947.\nAnswer: 113947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -287016 - -602629. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 208*n**3 + 1038*n**2 + 6*n + 51. Give q(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*s + 4*z + 167, s - 3*z = 39. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -164*q**2 - 7*q + 17. Let h(l) = 6*l + 45*l**2 + 170*l**2 - 16 + 1 - 50*l**2. Let s(x) = 6*h(x) + 5*w(x). Find the second derivative of s(b) wrt b.\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2064066*y**5 - 6*y**2 - 108837*y wrt y.\nAnswer: -123843960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15916416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5\/60*9*(-16)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 276360, 1105339, 2486970, 4421253?\n\"Answer: 276326*d**2 + d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38322*b**3*y - 3*b**2*y + 1299*b*y wrt b?\nAnswer: 229932*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*h = 134*h + 120*h - 2340 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 + 135 = 4*y. What is the remainder when y is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -796 - -798. What is the third biggest value in 0, l, -9, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9364 is divided by 360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5))**26)**(-42)\/((a**(-1))**(-5)*a**(-2\/5)*a\/(a*a**5\/a)) assuming a is positive.\nAnswer: a**(-2187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 33*m**3 + 4*m**2 + 4*m + 4. Let g(o) = 264*o**3 + 33*o**2 + 33*o + 33. Suppose v = 3*y + 15, 6*y = 5*v - 8*v + 135. Calculate v*d(l) - 4*g(l).\nAnswer: 33*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, 0, -4, -3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 6. Let g(d) = d + 10. Let v be g(-5). Suppose 0*i - v = 4*k - i, 3*i = -9. Let y be -1 - 1 - (k - 0). Determine t(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 - -6.09. Let c = 7 - t. Let d be 1\/2*(-2)\/(-5). Are c and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 + 126. Is -6\/17 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164 + -159. Suppose 4*y + 2*f = 705 - 109, 0 = 3*y + v*f - 433. List the prime factors of y.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730 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: Let k be (-3 - -1)*5\/(-2). Let w(i) = -i**3 - 9*i**2 + 8*i + 4. Let p be w(-10). Suppose 2*v = -4*x - 40, 2*v + p = -x + k*x. Round v to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201310323 (base 6) to base 15\nAnswer: -47b740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146 and 37530?\nAnswer: 2739690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-511)\/(-28) + (-6)\/(-8). Suppose -w*t + 10 = -18*t. Suppose 38 = 4*i - t. Calculate the remainder when i is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-2) - (-2)\/4. Let q(k) = 8 - 6*k**2 + 5 - 6*k + 7*k**3 - 19. Let m(f) = 15*f**3 - 13*f**2 - 13*f - 13. What is a*m(c) - 13*q(c)?\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-56)*-7 - -3. Solve -1 = 5*b - c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38989 and 2717673.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -1. Let y be (-181)\/5 + (-3)\/(-15). What is the common denominator of 31\/11 and 150\/y*2\/d?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6637.990126 - 6638.1. Let k = 0.11 + w. Round k to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, y: 6, v: 4}. Give prob of picking 1 y and 1 v.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4465\/6 (b) 10 (c) -2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -3) + 32 - -45 - 1?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 707 and 27342?\nAnswer: 2761542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -238, -2, -6, -7, -3, 10.\nAnswer: -238, -7, -6, -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3662, -136, 5, -4\/9, -0.3 in ascending order.\nAnswer: -136, -4\/9, -0.3, 1, 5, 3662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*h = 4 + 6, 3*h + 35 = -5*s. Let k(l) = 4*l**2 + l - 2. Let u(y) = -5*y**2 + 1. Let i(d) = s*k(d) - 3*u(d). Let z = 61 + -66. Give i(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 93\/18 - (-5)\/(-30). Let n(q) = q**3 - q**2 - 7*q - 3. What are the prime factors of n(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -877, -1801, -2757, -3745, -4765, -5817, -6901?\nAnswer: -8017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26308?\nAnswer: 2, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 + 249*l\/5 - 246\/5.\nAnswer: -3*(l - 82)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grr when three letters picked without replacement from {e: 1, g: 1, f: 1, r: 2, w: 4}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 194410 and -2944.\nAnswer: -572343040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -32620 < -7\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 27*l. Suppose -2 = 3*a - 2*a + u, -2*u = -8. Let r(s) = -s**3 - 4*s**2 + 10*s - 8. Let o be r(a). Let v(d) = -o*d + 3*d - 2*d + 4*d. What is n(v(j))?\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200227*h**3 - 57*h + 57*h + 200225*h**3 + 2 - 2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f + 45. Let k(t) = -2*t - 15. Let v(q) = 3*b(q) + 8*k(q). What is the units digit of v(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrdoddrodrorddrrr. What is prob of sequence rroo?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -13555032?\nAnswer: 13555031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1963375213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1794\/75 + 10 + (-2772)\/275.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 76*v**2 + 1275*v - 3820. Give r(3).\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050122.\nAnswer: 2, 97, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*m + 95*m**2 + 56*m - 202*m**2 - 35*m**2.\nAnswer: -142*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {s: 1, r: 1, j: 1, d: 2, e: 1, k: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 247 or 245?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 3045?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -34721 > -34737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*(-2 + -2*(-4 + (sqrt(1088) - (-3 + sqrt(1088))))))**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-16)*2\/(-3). Let j = z - -3. Solve -5*v = 4*m - 16, -3*m + 17 = -j*m + 4*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7310 is divided by 2314?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = r + 3252. Find the third derivative of r*g**2 - 2*g**4 + 2*g**4 + 3*g**4 - 557*g**2 - g wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4991289 at least as big as -19965153\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) -1\/2 (c) 0.59 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 8:27 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -j - z + 120, -467 = -3*j + 5*z. Calculate the smallest common multiple of j and 4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.8246 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbdffbbbb. Give prob of picking 1 q and 1 f.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17385610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from {t: 2, h: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**2 - 125758619*w + 96251689?\nAnswer: -2*w - 125758619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2607486 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - 2*x + 3*x)*(21*x - 16 + 16)*(-6 + 21 + 19)*(-3*x + x - x) in the form u + i*x**3 + v*x + a*x**2 and give i.\nAnswer: -2142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) 2\/9 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 2. Let y be (14\/6 + h)*1. Let 1\/3*p**4 + p**3 + y*p + p**2 + 0 = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64116628.\nAnswer: 2, 16029157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1237043.\nAnswer: -4, 2, 1237043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a**2 - 116*a + 475. Let s be o(4). Suppose f - 11 = -2*f - 2*d, 3*f = -4*d + 13. Sort -5, f, 4, s in ascending order.\nAnswer: -5, f, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -27*m + 8. Calculate p(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1349200329 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 d when three letters picked without replacement from {b: 4, j: 2, d: 2, v: 4, f: 5}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 2:14 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*u - 4*k, 7*k + 121 = 4*u + 2*k. Suppose h + u = 4*h. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 106\/12 + 6\/36. Suppose -t + 3*y - v = -35, -5*t = 3*y - 112. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -5*m + 8, 0 = -5*c + 25. Find the third derivative of -13*p**2 + 0*p + 70*p**3 + m*p - 68*p**3 wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12740?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 divided by -99?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 240 = 124. Let y be (-4)\/(-24) + z\/(-12). Which is the nearest to 0.1? (a) y (b) -2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22662314 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/3 - 35*i**3 - 1225*i**2 - 42875*i\/3.\nAnswer: -i*(i + 35)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -49.7. Let a(h) = -h**3 - 4*h**2 - 2*h + 4. Let u be a(-3). Suppose -2*g - 4 = t - u, 5*t = -5*g - 20. Sort -1\/7, g, x.\nAnswer: x, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*j*r*v**2 + a*j*v**2 - 66*a*r*v - 2*a*v**3 + 15*j*r*v**3 + 13*j*v**3 + j - 21*v**3 - 1 wrt v?\nAnswer: -12*a + 90*j*r + 78*j - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 1 + (-1)\/(156\/477). Let w = 82 + -82. Are w and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, z: 2, q: 3}. What is prob of sequence zqzd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 27 - 28. Solve 10 = 3*g + s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19724)\/(3 - (15 + -11)).\nAnswer: 2, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 5*y + 7*c, 5*y + 7*y + 18 = 16*y + 2*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8850*x**6 - 2483*x**2.\nAnswer: 1062000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 72800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -48 + 16 + 20\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7.31, -1\/3, -1\/5, 1\/6, 0, 8\/13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -133, -3, 4 in increasing order.\nAnswer: -133, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Suppose 0 = -2*n - 5*f + 50, -4492*n = -4488*n - 3*f + 4. Solve 0 + 5 = y - n*p, p + o = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -13*f - 50 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/42 and -11\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 0.405?\nAnswer: 2.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*w - 8 - 5*w + 4*w wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:09 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 26*g + 338.\nAnswer: (g - 26)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 11:05 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170\/41 + 7\/328. What is the common denominator of b and 81\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -4*i**3 - 11 + 0*i**2 + 0*i + 0*i**4 - 13\/6*i**6 + 0*i**5. What is the third derivative of r(o) wrt o?\nAnswer: -780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25115 or -25125?\nAnswer: -25115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -66, 49463, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2. Let z(f) = -147917989*f**2. Calculate z(t(v)).\nAnswer: -147917989*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*4 + sqrt(170))*-1*-5)\/(sqrt(360)*3*2 + sqrt(360))*-1*-4.\nAnswer: 50*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184.09 + 12.09. What is the second biggest value in 5, g, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*z + 3222 - 626 = 0 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266 and 921\/12 - (203\/(-28) + 7)?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + k + 2*k = -105, 6*k - 1 + 2 = -k + 6*k for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 2887*b**4\/24 - 719*b**3 + 776*b**2. Find the first derivative of v(t) wrt t.\nAnswer: 2887","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.742 + 5.142. What is the nearest to c in 23, -4, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 541, -8, -209, -4 in descending order.\nAnswer: 541, 2, -4, -8, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15 - 27\/4*m**2 - 1\/4*m**3 + 22*m.\nAnswer: -(m - 2)*(m - 1)*(m + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 449*r**4 - 52*r + 1709 - 846*r**4 + 407*r**4 wrt r.\nAnswer: 40*r**3 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m + 17. Let g be a(-5). Suppose h + 2 = 2*o - g*h, -5*h + 2 = 2*o. Is (-2*157)\/(-3 + o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 50 + 95. Let z = q + 57. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305491 a multiple of 1578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3702*y**3 - 87*y - 282*y**4 + 3 - 1852*y**3 - 1850*y**3 wrt y.\nAnswer: -3384*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, d: 6, x: 3, u: 3, f: 2}. What is prob of picking 1 u, 2 x, and 1 h?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 953?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 6*r + 3. Suppose 3*t = t + 18. Suppose t = -2*s - 3. Let i = -2 - s. Give p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, 13\/11, -2\/27?\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 350 = l. Suppose 0 = -3*o - 16 - 77. Let b = o + l. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 y when three letters picked without replacement from {y: 3, d: 2, e: 1, t: 7, c: 3, u: 2}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89 by -8.\nAnswer: 89\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 887 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -839*t - 47. Is i(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 3 = 4*q - 3*w, 3*q + 18 = -3*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.81 and -0.07242?\nAnswer: -0.4207602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7597983 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 86 = 5*f + 67, -5*q = -f + 20. Suppose a - 4 = -3*k, 1 = 2*a + 3*k - 1. Sort q, -9, -5, a.\nAnswer: -9, -5, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w**2. Let c(m) = 10*m - 10*m + 17*m. Let n(z) = -8*z. Let h(i) = 6*c(i) + 13*n(i). Calculate h(s(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 6:23 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11777?\nAnswer: 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 170, 246, 306, 344?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3 + 90*w**2 - 2*w - 90 = 0.\nAnswer: -45, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Suppose 0 = 2*m - m + y - 1, 0 = 2*m - 3*y - 7. What is the nearest to -1\/4 in m, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*v**2 + 135*v**2 - 164*v - 205 + 149*v**2.\nAnswer: v**2 - 164*v - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 + -47. Suppose 3*p + l - 12 = 0. Let i(d) = 4*d. Let y(o) = 2*o. Determine p*i(x) + 11*y(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.21 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -0.007, 42, -5, 2\/5, -0.4 in descending order.\nAnswer: 42, 13, 2\/5, -0.007, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 434.6991ug?\nAnswer: 0.0000000004346991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o. Let p(j) = j**2 - 5*j + 7. Let c be p(5). Let t = 14 - c. Is 7 a factor of w(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (21 - (-24 - -15)) + -141\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310467171, -310467167, -310467163, -310467159, -310467155?\nAnswer: -310467151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:20 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -25, 168, 1\/6, -2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -1\/8 (c) 60 (d) -606 (e) 1\/4 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 121\/(-26) + (-1242)\/(-276). Which is the second smallest value? (a) 4 (b) 1 (c) 15\/23 (d) -1 (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**7\/21 + 13*l**4\/24 - 6*l**2. What is the second derivative of d(t) wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21437 and 2395997.\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 0 + 1\/12*h**4 + 0*h - 6*h**2 + 0*h**3. Let i(z) = 2*z**2. Give r(i(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let m = 7 - 37\/5. Which is the third biggest value? (a) m (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1 - 8*t - 1. Let i(x) = 11*x + 580. Let c be i(-33). Let z = c - 216. Calculate v(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 7*g**2 + 4*g - 2. Determine v(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k*m**2 + 2*k*m + 208178*k + 8*m**2 + 2*m - 38532 with respect to k.\nAnswer: -3*m**2 + 2*m + 208178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/138306 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*t - 6*t = -91, 4*x = 3*t + 117. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, 1\/4, 106\/233, 2\/7 in descending order.\nAnswer: 106\/233, 2\/7, 1\/4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 5, -34, -12, -1.14, -2\/9, 47?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -88779400 to the nearest one million.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3655, -14630, -32919, -58522, -91439, -131670, -179215?\n\"Answer: -3657*i**2 - 4*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(11\/7)*w**(2\/9)\/w**3 assuming w is positive.\nAnswer: w**(-274\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16775*p**4 - 96608 wrt p.\nAnswer: -67100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 times -0.1748\nAnswer: -0.0059432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 21 - 77 + 25 + 79*l.\nAnswer: 79*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.52 - 111.52. Let j = g - -108.9999953. Round j to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 2, b: 2}. What is prob of sequence zz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q + 58*q - 49*q + 84*q.\nAnswer: 106*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:48 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352*z - 296 = -360*z. Let r(v) = v**3 - 3*v**2 - 2*v - 5. Let w be r(4). Sort -1, z, w in decreasing order.\nAnswer: z, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*v - 7 = 333. Let p(t) = -4*t - 7. Let r(o) = 6*o + 11. What is v*r(k) + 8*p(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 16\/7 + 230\/(-70). Let g(c) = -16*c + 22. Let q be g(x). Suppose -q = -17*t + 16*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 41. Let c be 1 + 1 + 1\/(5 - 4). Put c, 5, g in decreasing order.\nAnswer: 5, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5125110 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 7*u**7\/30 + u**5\/12 - u**4\/24 - 28*u**3 - 629*u**2. Find the second derivative of q(n) wrt n.\nAnswer: 588*n**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 3*w + 6*w + (0 - 3 + 4)*(6*w - w - 4*w) + w - 4*w - w - 3*w - w + 5*w - 28*w - 15 + 15.\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601509?\nAnswer: 3, 37, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (7*1\/16)\/(26\/234) and -77\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 0.047393\nAnswer: 0.452607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/6 - 7*k**4 + 74*k**3 - 545*k**2\/3 + 337*k\/2 - 54.\nAnswer: (k - 27)*(k - 12)*(k - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 + 4*l**3 + 0 - 1847*l + 1 - 159*l + 1091*l in the form g*l + h*l**2 + i + k*l**3 and give g.\nAnswer: -915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -81 - 1c44?\nAnswer: -1cc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -9. Let n = u + 9. What is the third derivative of 22*v**2 + 21*v**3 - n*v**2 + 0*v**3 - 3*v**3 wrt v?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kze when three letters picked without replacement from {y: 5, z: 7, e: 1, k: 6}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16874 by 767.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -26. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -13*w**2 - 1577*w - 15755. Give q(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - 1266.\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - -8)*2\/((-18)\/681). Differentiate -16*b - 19*b - y - 136 + 278 with respect to b.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = m - 3*g + 12, g + 50 = 5*m. Calculate the smallest common multiple of 60 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 divided by -4?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/26*(230\/(-69))\/5\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 24488842?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8)*-2)\/(451\/82)*2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1) - (-73 - -77). Which is greater: a or -92?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y + y + 36. Let d be (2 - y) + -6 + 6 + 1. Solve 0*q + d = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 0. Let q be ((-6)\/(-15))\/((-1)\/(-30)). Let a = q + t. What is the highest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.22 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74415926?\nAnswer: 2, 13, 89, 32159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450619889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*b + 1631546 - 1631546.\nAnswer: 130*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 15?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j + 2 + 16*j - 9*j - 70 + 70 - j + j + 1 - 1 + (3 - 2*j - 3)*(3 - 3 + 1) - 10 - j + 10 as z*j + h and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68.99768 + -69. What is g rounded to 4 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -8, -2227.\nAnswer: -2227, -8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) -2\/5 (c) -4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4\/11)*q**(-10\/11) assuming q is positive.\nAnswer: q**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32398327 is divided by 4478.\nAnswer: 4475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/((-5)\/(-30)). Suppose -1 = 3*t - 4*h, 5*t + s*h = -2*h + 10. Suppose 4*k - t = 19. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2384 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 6:12 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**4\/24 + 2*n**3\/3 - 2*n**2. Let b be y(-5). Let i = -1 + b. Round i to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/12 - 7*k**3\/6 + 7*k**2 + 10*k - 10. Calculate z(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -243 - -345. Suppose -2*l + i = 5*s, 0*l - 5*l = 4*s - 289. Suppose l*v + 184 = 62*v. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000133709 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170912.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 2*o**3\/3 - o**2 - 4*o - 6. Factor c(r).\nAnswer: 2*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 131285*t + 131290.\nAnswer: -5*(t - 26258)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b**3 - 9*b**3 - 2 - 11*b + 6*b**3 - 4*b**2 - 15. Calculate the smallest common multiple of f(-2) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w + 41. Let y be k(0). Let c = -41 + y. Solve c*a + 2*a - 8 = -2*h, 2*h = -3*a + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 185725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmimbmmmimm. What is prob of picking 2 m?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3209, 3197, 3171, 3125, 3053, 2949, 2807, 2621?\n\"Answer: -u**3 - u**2 - 2*u + 3213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooi. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.79 to one dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10575 and 1269.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3366*u + 313057. Determine t(-93).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 = -10. Calculate the remainder when 33 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 91815*p + 18. Calculate u(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {o: 13, x: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95 - 99 - 395*b**3 + 231 with respect to b.\nAnswer: -1185*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -17*g**2 - 13*g + 13. Let b(v) = -8*v**2 - 6*v + 6. Let d(u) = -13*b(u) + 6*y(u). Let w(z) = -z - 101. Calculate w(d(o)).\nAnswer: -2*o**2 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 814.9883l?\nAnswer: 814988.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 6)\/(2\/4 + 0). What is the second derivative of 149*s + 15*s**4 - 3*s**n - 20*s**4 - 45*s**4 + 3*s**2 wrt s?\nAnswer: -600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9699*h + 1520*h**2 - 5*h**2 + 3242*h + 4328*h wrt h?\nAnswer: 3030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 5, t: 6, h: 2, j: 2}. Give prob of picking 1 j and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/6)\/((-62)\/2604). Calculate the greatest common divisor of p and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-450279)\/729*(-102)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(288)) + 1 + (-1 + sqrt(288))**2)*-4.\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 35?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - (-8)\/16*10) + 7. Solve 0 = -2*h + 3*h + 2*r - 7, -s*h + 2*r = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 704, 2840, 6410, 11420, 17876, 25784, 35150, 45980?\n\"Answer: g**3 + 711*g**2 - 4*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*u - 113 = 30, 3*u = 12. Do o and 33 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Let k be 2\/2*24\/(-16)*2. What is the nearest to -0.07 in k, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72923*n - 72268*n + 12382 - 34652 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226799696, 226799699, 226799702, 226799705, 226799708, 226799711?\nAnswer: 226799714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -290*t + 579*t - 286*t. Let w(u) = 2*u**2 + 61. Calculate k(w(p)).\nAnswer: 6*p**2 + 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299 and 104052.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -1, 4, -5\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 533 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: Let r**5\/5 + 698470*r**4 + 3049134115313*r**3\/5 + 12196480583716*r**2\/5 = 0. Calculate r.\nAnswer: -1746173, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.581 - -2.24. Let b = j + 0.321. Which is bigger: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -9*o**4\/7 + 202002*o**3\/7 + 1077711*o**2\/7 - 2491908*o\/7 - 134700 = 0.\nAnswer: -7, -1\/3, 2, 22450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32 and -6.9222047.\nAnswer: -38.9222047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -15. Is 9\/(-6)*((-148)\/u - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338952 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -11, 210, -109 in descending order.\nAnswer: 210, 6, -4, -11, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h**4 - 5*h**2 + h + 5. Let y = -8 + 6. Let o(f) = -4*f**4 - 2*f**2 + f + 2. Let j(z) = y*s(z) + 5*o(z). Find the second derivative of j(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 34.75\nAnswer: -45.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 + 7*c - 8. Let o(k) = -10*k - 1. Determine o(s(i)).\nAnswer: -40*i**2 - 70*i + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 19*f**2 + 4*f - 6. List the prime factors of l(-4).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - v + 4 - 2, 3*v = -4*u + 9. Let i be (u\/6)\/(1\/30). Let c = i + -8. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2037 divided by 172557.\nAnswer: 97\/8217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83abc7 (base 15) in base 14?\nAnswer: b90779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-247)\/(-152) - -64*(-88)\/432\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**3 - 2*g**2 + 3*g - 4. Let f(z) = 13*z**3 + 5*z**2 - 8*z + 11. Let h(i) = -11*a(i) - 4*f(i). Is h(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**3 + 2*l**2 - l. Let b be x(1). Suppose -b*a + 143 = 28. Suppose -3*h = 17 - a. Put h, -4, 5, 4 in descending order.\nAnswer: 5, 4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-46))\/(27\/(-9))*-2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 21 - 29. Is p greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i + 9. Let b(u) = u**3 + 3*u**2 - 2. Let f be b(i). Let w be 0\/(-2)*(-7)\/(-14). Sort w, -3, f.\nAnswer: -3, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x + 36 - 94*x - 40*x + 1 + 81. What are the prime factors of s(-13)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 3)*(1 + 3 - 6) - 6 + 2 + 0 - 2 + 2 + 1)*(159 + 2*j**3 - 10*j + 157 - 317).\nAnswer: -2*j**3 + 10*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22533 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39305 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/14 and 3\/848?\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 5*q**2 + 5. Let n(o) be the second derivative of -o**5\/20 - o**4\/2 + 3*o**2 - 209*o. What is -5*n(j) + 6*z(j)?\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23510 + (4 - 2) + (8 - 4)?\nAnswer: 2, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -4*r + 3*c - 66, -r + 7 = -5*c. Calculate the remainder when r is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39)\/(-9) + (-4)\/(-6). Suppose v + 5 = 0, 2*b + b - c*v - 25 = 0. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929*j + 482*j + 1391 = -460*j for j.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 35. Let l = c + 15. Suppose v + 25008 = -4*o, -4*v - l*o - 60697 = 39313. Round v to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 26. Let v(g) = 7*g + 9*g - 22*g - 2*g - 2*g. Calculate o(v(u)).\nAnswer: 300*u**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4743 is divided by 1175.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3472.3 - 3472. Which is the closest to -1? (a) i (b) -1\/2 (c) -3\/4 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -23. Let s be 20\/(-25)*(-75)\/b. Let r = 16 + s. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/1)\/(-3)*(-39)\/(351\/(-18)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55729.44 meters to millimeters.\nAnswer: 55729440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/26 - 100\/26. Let v be ((-2)\/a)\/(46\/(-24) - -2). Solve 12 = -v*l + 9*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**7\/168 + r**6\/24 + r**5\/40 - 5*r**4\/24 - r**3\/24 + 5*r**2\/8 - r - 28. Let m(l) = 0. What is l?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/11 + (-1404)\/99. Let h = u + 17. Solve -24 = h*z + 2*y - 7, 0 = 3*z + 5*y + 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r - 6*r + 2*r)*(2*r - 5*r + 5*r) + 6*r**2 + 0*r**2 + 0*r**2)*(r + 0*r + 0*r + (3*r - 2*r - 3*r)*(-4 + 5 - 3) - r - r + 3*r).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-360))\/(129\/60 - 24\/32)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399, -770, -1127, -1476, -1823, -2174, -2535, -2912?\nAnswer: -3311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = 8*y - 8, 2*y = 2*w - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/109655 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(-6*j + 0 + 5*j - 1) - j - 5 + 5 to the form k*j + f and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6738560 and 42116.\nAnswer: 6738560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11401241 (base 5) in base 11?\nAnswer: -72a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {i: 2, r: 4, y: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 - 10*u**2 - 31*u**3.\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 1\/3*f + 0 - 1\/2*f**2 + 1\/6*f**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325370484 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12071*b - 4*b**2 - 12071*b - 16.\nAnswer: -4*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3*2*3. Let w = 11 + -9. Suppose -w*f + 6*f - 12 = 0. Solve 5 = -q*j - f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -906, 14876, 30658, 46440, 62222, 78004?\n\"Answer: 15782*n - 16688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.14, 0.2, -0.5, -11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 190918 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -489 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -505 (b) -120 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3246*g**3*q + 4*g**3 - 11743*g*q + 2*q - 1 wrt g.\nAnswer: -19476*g*q + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-478)\/(-50) - -20*(-31)\/1550 - 9.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339, 2629, 8921, 21261, 41695?\nAnswer: 72269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55579411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -138910000 rounded to the nearest one million?\nAnswer: -139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*a**2\/3 + 3012*a - 1806.\nAnswer: -2*(a - 903)*(5*a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -41 (b) -2 (c) 1 (d) 164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.4. Let q = 0.3 + p. Let d = 0.4 - 0.2. What is the closest to -1 in d, -2\/9, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21888684 and 10260?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3006 - 1575. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, o: 7}. What is prob of sequence oooo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:31 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 288, 582, 876, 1170, 1464, 1758?\n\"Answer: 294*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4330 and 77270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22403 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 8*n**7\/49 - 12*n**6\/35 + 27*n**5\/140 - n**4\/28 + 28*n + 1. Factor z(a).\nAnswer: 3*a**2*(a - 1)*(4*a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7566 and 1131.\nAnswer: 219414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 + 0 + 490\/(-50).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6)*(0 - -6). Suppose -w*u + 88 = -0*u. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 3*i**2 + 4*i + 4. Calculate l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (0 + 4 + -6 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 341 + -168. Let l = x + -149. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2649890926 to the nearest integer?\nAnswer: 51477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**(-1))\/h)\/(h\/h**(3\/5)*h)*h**0\/(h**(-1\/12)*h) assuming h is positive.\nAnswer: h**(-19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460783?\nAnswer: 197, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -290412, -290425, -290460, -290529, -290644, -290817?\n\"Answer: -2*q**3 + q**2 - 2*q - 290409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 41 + (-15 - 6) - -99 - (8 - -1)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 187*n**7\/7 + 929*n**3\/3 + 2*n + 29. What is the second derivative of w(d) wrt d?\nAnswer: 22440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 not equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -172 and -5483.\nAnswer: 943076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7*u = 2*u, 5*a = 3*u + 31. Put -5, -9, a in descending order.\nAnswer: a, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 1501251.\nAnswer: -4503753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 3*c**2 - 3*c + 3. Suppose 0 = 81*y - 91*y + 30. Give l(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/25*(-5)\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3)*h**(1\/3))\/(h**(-1)\/(h\/h**5)))\/((h\/((h*h**(1\/7))\/h*h))\/(h*h**(-1\/3)))**(-2\/11) assuming h is positive.\nAnswer: h**(-268\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2, -3*z - 94 = -5*p. Suppose 35*t - 39*t + p = 0. Let u(k) = -2*k + 7. Determine u(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77 - 15 + 10988*t**2 + 178 - 86 to the form w + y*t**2 + o*t and give y.\nAnswer: 10988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 7038. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5 + 58*b**4 + 191*b**3 - 1378*b**2 - 1512*b = 0. Calculate b.\nAnswer: -54, -7, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1637?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -168*j - 1537. Give d(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 695 and 293707.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -d - 5*y, 2*y = -2. Sort -1, 82, d.\nAnswer: d, -1, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from cgddcbbbcgc?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 65 (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -4*y**4\/3 - y + 150. Let j(q) = 123*q**2. What is j(l(h))?\nAnswer: 31488*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 4:45 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x + 60. Let a = -1 + 4. Calculate the highest common factor of x and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {s: 4, m: 3, u: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 7*x**2 + 4*x - 5. Let k(p) = p**3 + 4*p**2 - 6*p - 3. Let b be k(-5). Suppose 14 = -4*u + b*u. Determine c(u).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. What is the second derivative of a*l**3 - 8*l + 4*l**3 - 5*l**3 + 9*l wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 20938838 to the nearest ten thousand.\nAnswer: 20940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97923401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((1 + sqrt(847) + sqrt(847))*-5 - (1*sqrt(847) + -4)))**2.\nAnswer: 968*sqrt(7) + 409952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 384086 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 185\/7 (b) 9 (c) 0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 f when four letters picked without replacement from fffannnfnffnfffafnfn.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3748355.3 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:13 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1 + 2*k**2 + 145*k - k**2 - 146*k. Let d(y) = 9*y**2 + 67*y + 23. Let a(l) = -d(l) - 3*w(l). Factor a(p).\nAnswer: -4*(p + 5)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1053*x - 4*x**2 + 19 - 1053*x)*(-3*x**2 - 7*x**2 - 4*x**2).\nAnswer: 56*x**4 - 266*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12983 not equal to 1155608\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -993, -2256, -4029, -6312, -9105, -12408?\nAnswer: -16221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10 = 2. Let o = -12 + x. What are the prime factors of 41 - (o - -4 - 0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:15 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 62, 21715.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/110 in 0.03, 0.4, 1\/20, -4\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 230 + 78. Let p = -11 + f. What is the smallest common multiple of 12 and p?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1326)\/(-1547))\/(3\/(-63*1))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662455061 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10047 and 21.\nAnswer: 70329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22736574 and 87786.\nAnswer: 22736574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-35)*p**(-7\/5)*((p*p*p*p**(-2\/13))\/p)**(-23) assuming p is positive.\nAnswer: p**(-5061\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-34380)\/26)\/(-15) - ((-6)\/13)\/(-3). What is the greatest common factor of 22 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3904 + -117113\/30. Calculate the common denominator of 16\/2715 and y.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8861*c - 4288*c - 5209*c to y + q*c and give q.\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122736?\nAnswer: 2, 3, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 6*o + 4, 74*z = 158*z - 85*z + 5*o + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 46*t = -66, 0 = 5*a - 81*t + 77*t + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12559837649 rounded to the nearest one million?\nAnswer: -12560000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 != -124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -4.7459.\nAnswer: -4.2459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(16\/6))\/(-4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70937259?\nAnswer: 3, 719, 32887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*m**4*y + 316*m**3*y**3 - 7*m + 2327*y**3 wrt m.\nAnswer: 216*m**2*y + 1896*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 26*k**3 + 6*k**2 + 6. Let s(t) = 624*t**3 + 143*t**2 + 143. Calculate -143*r(c) + 6*s(c).\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 * 3.577572.\nAnswer: 9.3016872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2abbcc4 (base 13) in base 6?\nAnswer: -1205442402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*q**3 + 12*q**2 + q - 1255.\nAnswer: 480*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (186\/248)\/(2103\/(-8)). What is the nearest to y in -3\/4, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 31 + 1 = 3*g, 0 = g - b. Suppose 16 = 2*j - 3*k - 163, -4*k - 352 = -g*j. What is the greatest common factor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -92792, -1, 9, 5 in ascending order.\nAnswer: -92792, -6, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 11:54 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**2 + 4233*r - 4233*r + 5145 - 5145.\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 464063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, -0.08, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150513178 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010110101001011 (base 2) to base 9.\nAnswer: 346536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 5*l - 7. Let z(k) = 5*k - 1 - k - 5*k. Let i = -24 + 23. Let s(b) = i*r(b) + 6*z(b). Determine s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 921 = 12*f - 9*f. Suppose a - 3*a - 2*h + 146 = 0, -4*a = -h - f. Calculate the remainder when a is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401655 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d - 7. Let c(l) = 59*l - 7. Let b(g) = 15*g - 2. Let p(t) = -4*b(t) + c(t). Determine -4*p(f) - s(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 6*w + 7. Let f be s(-4). Which is smaller: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 47 + 49 = 0. Suppose 0 = 5*x - x - k. What is the greatest common factor of 30 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 5*y + 19, -3*y + 2*c - 7*c - 5 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.145 * -0.31\nAnswer: -0.04495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = -z. Suppose 4*d + 17 = n, z*n - 23 = -2*d + 42. Let f be (-2)\/n*8\/((-560)\/15). Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 23 + 17. Let n be -3 - (4 - 5) - -4. Let q(f) = -f**3 + 4*f**2 - 4*f + 2. What is the smallest common multiple of r and q(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*g**4 + 110*g**3 - 2*g**2 + 208*g + 203 wrt g.\nAnswer: -72*g**2 + 660*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 0*h + 3\/2*h**2 - 3. Let g(u) = 4*u. Calculate z(g(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/341484 and 69\/569140.\nAnswer: 1707420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nanaoioqniiaaaoni. What is prob of picking 1 i and 1 a?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 10641, 0.01, -1.3, -5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or 224?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 8 + (-1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -31. Let o = 6.999986 + n. Round o to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17575360457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181655.\nAnswer: 3, 5, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**5\/60 + m**4\/24 + 2*m**2. Let g be h(0). Solve -4*j + 3 = o, o - 2*o - j = g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 7*p**6\/30 - p**4\/12 + p. What is the third derivative of k(g) wrt g?\nAnswer: 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63424 or -63456?\nAnswer: -63456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*d + 142 = 0, -3*s - 3*d - 45 - 66 = 0. Let x = s - -59. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*p = 7, 3 = 2*l + l + 3*p. Suppose h + 31 = l*z, -2*z + 2*h = -z - 2. Suppose 5*t - 3*t = z. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/31)*l*l**6*l**(-1\/5)*l**0)**(-27) assuming l is positive.\nAnswer: l**(-28188\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**3 - 2*c + 2*c)*(1 + 51 + 0) to v*c**3 + g + k*c**2 + b*c and give v.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*s - 254 = 127*s - 127*o, 0 = -5*s - o + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*3 - -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 238*u + 5244. What is f(-23)?\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/5 + 5312*c**2\/15 - 2358*c\/5 + 1768\/15 = 0 for c.\nAnswer: 1\/3, 1, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 6 - -12 - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(117) + (sqrt(117) - (sqrt(117) + 5*sqrt(117) + 5)**2 - sqrt(117)) - (3*(sqrt(832) - (4 + -3*sqrt(832))))**2.\nAnswer: -124190 + 2127*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -2 + (12 - 16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-20)*(-200)\/(-1120).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p**2 + 5023*p + 8633. Let x(q) = 5*q**2 - 2481*q - 4316. Let u(n) = -4*k(n) - 9*x(n). Differentiate u(w) with respect to w.\nAnswer: -2*w + 2237","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-352)\/(-80) + -4)*-30\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > -2187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1100)*1 + 3 - (sqrt(55)\/(sqrt(10)\/sqrt(2)) - sqrt(44)\/(sqrt(24)\/sqrt(6) + sqrt(4))).\nAnswer: 1 + 19*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2)*(1 + 225\/(-200)). Sort -3\/13, -26\/3, l in increasing order.\nAnswer: -26\/3, -3\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-20)\/(-22))*-2. Let l = d + -10. Put 3, 2, l in increasing order.\nAnswer: l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 20 = 2*m, -168*a = 2*m - 172*a - 26. Let x(f) = -2*f - 1. Let z be 3\/(2\/(32\/(-6))). What is the remainder when x(z) is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1988610 = 26*t - 1989858 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14527?\nAnswer: 73, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*(-128)\/(-640).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 4153140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 477\/(-12879) - (-166)\/108?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c2 (base 16) in base 10?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 5*q = -13, 9*q + 10 = 7*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*g - 23*g = 1948 + 5721 - 155 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -51. Do w and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.2, -139502, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3863395*v**3 + 41*v**2 - 158429*v?\nAnswer: 23180370","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 10, 4*a - a - 19 = -2*o. Let n be ((-15)\/6)\/(1\/(-2)). Let r(k) = -k**2 + 6*k - 2. Let p be r(n). Solve -o*d + 9 = 5*j - 1, p*j = 2*d + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 4*n + 2. Let t be c(-4). What is the third derivative of -4*d**2 + 16*d**t + 10*d**3 - 6*d**3 wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 - -21) - ((-8 - 26) + 4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942595 is divided by 193.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(1\/6)*s*s)\/s))**(-49)*(s\/s**(2\/59))**(-5\/4) assuming s is positive.\nAnswer: s**(4927\/708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Suppose -f*v + 215 = 3*v + 3*q, -215 = -5*v - 2*q. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - -1. Put y, 1\/3, 1 in decreasing order.\nAnswer: y, 1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498281447?\nAnswer: 498281447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/11, -1, 10, 0.01?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 348613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 16, -25, -92, -191, -328, -509, -740?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 3*l**2 + 6*l + 4. Calculate p(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14*n - 780. Calculate the remainder when 50 is divided by v(59).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-1\/20)*u\/u**(4\/7)*((u\/(u**(2\/5)\/u))\/u)\/(u**(3\/20)*u*u) assuming u is positive.\nAnswer: u**(-1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -199128.69 - -2004836.\nAnswer: 1805707.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 - 829*i**4 - 9*i**3 + i**2 + 828*i**4 in the form h*i**4 + a*i + n + o*i**2 + s*i**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*m + 2, 0*m + 2*m + 2 = -q. Calculate the highest common factor of 82 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5\/5 + 92*d**4\/5.\nAnswer: -2*d**4*(d - 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -500, -1632, -3746, -7136, -12096, -18920?\nAnswer: -27902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = -2. What is the third derivative of 5*f**4 - 3*f**2 + f**2 - f**y wrt f?\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -30, -59, -90, -117, -134?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.3, 17, 1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 1967 = -742. Let z = 485 - n. What is the greatest common factor of z and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 34. Suppose -58 = 4*m + k. Let x = m + 34. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a - 8*a + 109*a.\nAnswer: 87*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26, 24, 18, 8, -6, -24?\n\"Answer: -2*x**2 + 4*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**4\/24 + 233*g**3\/6 + 123*g**2. What is the tens digit of k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(-36*s - 3*s - 60*s) as q + o*s and give o.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20534*x**2 - 20495*x**2 - 289*x + 98*x to q*x + b + i*x**2 and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + v - 22. Let n be p(3). Is (-1476)\/(-3) + 3 + n + -8 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -3143333?\nAnswer: 3143331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 180259470 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10684 = -437*c + 10273 + 456 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 19446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 24*g - 45. Let m be b(-22). Let p be 14\/(-2) - (m + 0\/(-3)). Let n be (-2 + (-14)\/p)\/(3\/9). What is the nearest to n in -0.1, 1, 0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -771, -1743, -3095, -4821, -6915?\nAnswer: -9371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -0.4, -6, 0.1 in ascending order.\nAnswer: -6, -0.4, -0.15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**4 + 99*c**2 + c**3 + 2*c + 72*c**2 - 173*c**2 + 14 to n + z*c**2 + b*c**4 + k*c + p*c**3 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320 and 16405400?\nAnswer: 49216200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**3 - 2*k**2 - 9*k - 2. Let v(s) = -s**3 + s + 1. What is g(f) + 2*v(f)?\nAnswer: -7*f**3 - 2*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -291, -353, -441, -549, -671, -801, -933?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - p = 2, 5 = p + 4. Suppose l - 64 = -c*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**4 - 35*s**3 - 274*s**2 wrt s?\nAnswer: -72*s - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 - -380. Let r = w + -1114\/5. What is f in -1\/5*f - 13\/5*f**2 + 2\/5 + 11\/5*f**4 - 2*f**5 + r*f**3 = 0?\nAnswer: -1, -2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -0.9. What is the smallest value in -4, o, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + 85. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 + -63. Suppose 5*m + 521 = 4*g, -5*g = 2*m - m - 615. Let u = g + -99. What is the remainder when f is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 521 + 34)*(-m + m + 2*m).\nAnswer: 1096*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 119241742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1385.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -390\/8929 or 1?\nAnswer: -390\/8929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 143. Let d = 116 + x. Let s = 98 - d. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3556?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m + 6. Let u be h(4). Suppose 5*r - 188 = r - 3*x, u = r - x. What is the second derivative of r - 50 - 8*p + p**2 wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.0024 and 0.\nAnswer: 1.0024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 123?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 >= 89228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18760957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2972 and 877483?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4657141*a + 13. Let w be m(-7). Round w to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*w - 52*w - 103*w - 36*w.\nAnswer: -284*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-9\/5)*p)\/p*p)**14*(p*p*p**23)\/p*p*p**(-3))**32 assuming p is positive.\nAnswer: p**(1728\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 + 2*l**2 - l + 11. Calculate k(3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-5)\/((-5)\/129) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 12:50 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 847578277*q**3 - 2*q**2 - 223*q + 1161632.\nAnswer: 5085469662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 116, 115, 114, 113, 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 + 3*(-1 + 0 + 2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 169\/39 + (-224)\/24. Let i(u) = u**2 + 18*u + 5. What is i(h)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.893 + -8.893. Let i = 1296\/11 - 118. What is the third biggest value in -2, 1, i, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, -6, 1\/1815, 1?\nAnswer: 1\/1815","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -118973, -118911, -118835, -118739, -118617, -118463, -118271?\n\"Answer: u**3 + u**2 + 52*u - 119027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, r: 5}. What is prob of sequence rrr?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(1*(-4 + (sqrt(162) + 1 + sqrt(162) + sqrt(162))*4))**2.\nAnswer: 116640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**3 + 2*f**2 + 3*f - 4. Suppose d + 14 = -3*l, -4*d = -d - 4*l - 23. Let w be a(d). What is the tens digit of (-1 + (w - -2))*-212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 0.2 (b) -5 (c) 10640\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 20. Suppose q*k = -2*m + 337, 4*k + 0*m - m = 453. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 5096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**3 + 6*q**2 + q + 2. Let f(i) = -20*i**3 + 6*i**2 + 2*i + 2. Let o(p) = -25*p**3 + p**2 + p. Let j(x) = f(x) - o(x). What is -6*j(r) + 5*y(r)?\nAnswer: -5*r**3 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wddasfdd. What is prob of picking 1 f and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 302.05 + -302. Which is the third smallest value? (a) -5 (b) -2 (c) g (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 - 8*b**2 + 8*b**2 + (1 + 0 - 2)*(-4*b**4 + 5*b**4 + b**4) + (-2*b**3 + 4*b**3 + b**3)*(2 - b - 2).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33853 + -28282. Which is the smallest value? (a) -0.3 (b) 1 (c) x (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/885 - -16804\/9735. Calculate the common denominator of f and (3\/(-48))\/((-1)\/(-26)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 29. Solve 2*g - q = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18230 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135099*u - 6*u**2 - 9*u**2 + 12*u**2 + 135117*u.\nAnswer: -3*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9654 (base 13) to base 14.\nAnswer: -785a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**(7\/9)*x**9\/x*x*(x\/(x**5\/x)*x)\/x assuming x is positive.\nAnswer: x**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43687 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 22 = -5*i. Solve -i = 4*d - 5*g, 3*d = 2*d - g - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 135 - 145 = 5*q, 0 = -2*q + l - 112. Let u be 900\/14*q\/(-12). Suppose 0*i + u = 5*i. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, b: 4, u: 4, i: 1, c: 1}. What is prob of picking 2 z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8866 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 26*z**3 - z. Let v be t(1). Suppose 0*f = -f + v. Calculate the highest common factor of f and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v = -6. Let h be 46*v\/6*-1. Let n = -10 + h. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 950 by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3411\/(-17055) - ((-3)\/(-21*1) + 2077\/(-35))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 + r - 1. Let t(z) = z + 2. Let c be t(-4). What is q(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**2 - 7*b**3 + 6*b**3 - 5*b**2 + 8*b**3 wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - d**2)*(-4*d - 9 + 9)*(-4*d - 3*d - 5*d).\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (184\/6)\/(14*5\/3885) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 23. Let n be c(7). Let u be (-5)\/(-25) + n\/30. Which is smaller: 86 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 998548 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107728?\nAnswer: 2, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2737 - -7221. Let s = -9957.93969 + p. Let x = s + -0.0574. What is x rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/36129 and -91\/18.\nAnswer: 216774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 86. Let b = -21 - r. Solve o = -o - f - 5, b*f = -o - 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m - 9. Let n(q) = q**3 - 11*q**2 + 9*q + 13. Let f be n(10). Let x(y) = 2 + 1 + 2*y + 2 + f. Let z(v) = 4*l(v) + 5*x(v). Determine z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1768 is divided by 212.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9882 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -635, -594, -551, -494, -411, -290?\n\"Answer: 2*i**3 - 11*i**2 + 60*i - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 51\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*m**3 - 34*m**3 + 57*m**3 + (-2*m + m - m)*(2*m**2 + 0*m**2 - m**2) + 88*m - 88*m + 33*m**3 as a*m**2 + b + j*m + u*m**3 and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -800, -3502, -8006, -14312, -22420?\n\"Answer: -901*l**2 + l + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 25. Find the first derivative of -2*h**2 - 2*h**2 + v - 5 - 2*h**2 wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 418.6248 to the nearest integer.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101300 is divided by 295.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - z - 5. Suppose -5*o - 18 = o. Let d be q(o). Which is smaller: d or 10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -19.85 and 101.31.\nAnswer: 81.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 325935 take away -1115.6055?\nAnswer: 327050.6055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2 - -2) + -5)*-1. Suppose 5 = -d, -c - 3*d - 5 = -d. Solve -3*x = 3*q + 9, c*x - g = -q - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 607?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.77 + 1.7. Let g = -8.07 - m. Suppose 4*r - 4*s = 24, 0*r - 4*s + 8 = 4*r. Which is the closest to g? (a) -0.5 (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2200*a + 1752*a**2 + 2192*a - 4392*a to the form u*a**2 + l*a + n and give u.\nAnswer: 1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 28 = 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 10612 = 8*i. Let t = 382 - i. Let o(b) = -b**2 - 5*b + 1. Calculate the remainder when o(-4) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - w = -7, 3*h - 8 = -w - 0*w. Let t = 11.2 - 11.7. What is the nearest to 4 in -0.3, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 7*z - 3. Let j be t(-6). Suppose -9 = -4*w + j*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/702)\/(2\/3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -2\/17, 2\/5, 0.1 in decreasing order.\nAnswer: 2\/5, 1\/3, 0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 127221286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 402\/10 - (185 + -146)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x. Let t be s(-2). Suppose 7*u - t - 33 = 0. Suppose -u*y - 3*h + 148 = -y, -3*y + 104 = 4*h. What is the remainder when y is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8708 + -2395. List the prime factors of d.\nAnswer: 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.9 - 6. Sort -0.4, -0.5, m in descending order.\nAnswer: m, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Suppose -v*n + 5*r - 47 = 0, 44 = -4*n - 0*r + 4*r. Calculate the common denominator of -37\/18 and 3\/n*505\/(-30).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 451650 + 0?\nAnswer: 451650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1069947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 40*c**2 + 3826*c - 75. What is a(85)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6210 and 252?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911147 is divided by 47954.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001100 + -1001?\nAnswer: -1100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-196)\/5 - (-8)\/40. What is the remainder when 69 is divided by (36\/5)\/(d\/(-130))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eun when three letters picked without replacement from qennnqnugqnnnqe.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 916\/77 - 134\/11. Is 12\/995 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 2\/183 (c) 1\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 20020 = 27*s. Suppose b - 6 = -v, v - 18 = -3*b - v. Suppose 178 = b*a - s. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26163, 52279, 78371, 104439, 130483?\nAnswer: 156503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -87, -2.8?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (19 - 10)) + 0 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -600600 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 7*t - 3*a + 30 = 0, 22 = -0*t - t + 5*a for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -951*n**2 - 1399*n - 85. Let y(h) = 119*h**2 + 175*h + 10. Let u(k) = -6*s(k) - 51*y(k). Find the second derivative of u(j) wrt j.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:03 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*w - 14, 4*v + 4*w = -v - 13. Which is the third biggest value? (a) 1 (b) 0.3 (c) -4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 114613052?\nAnswer: 114613061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208790166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = -9*c - 12*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vocvbvy. What is prob of sequence cv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/24 and -43\/3636.\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q\/(q**(2\/7)*q*q)))**(-11\/7)\/((q\/(q**(2\/7)\/q))\/q*q)**(-3) assuming q is positive.\nAnswer: q**(-78\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5405*x**2 + x + 375 wrt x.\nAnswer: -10810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u + 1. Let w(k) = 17*k - 10. Let l(f) = -5*f + 4. Let o(i) = 8*l(i) + 3*w(i). Let m(j) = 4*c(j) - 3*o(j). Give m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195 + 197. Let w be ((-9)\/12)\/((-6)\/(-2)). Is u at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 222539 + 222542 + 222542 - 667620.\nAnswer: -9*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 127 = -4*r - 134, 5*g - 265 = 5*r. Calculate the remainder when g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 959689.6mg?\nAnswer: 0.9596896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329063*j**2 - 6 - 1 - 14024*j**2.\nAnswer: 315039*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328 and 1?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Suppose q*n + 17 = -k, k + k + 3*n + 9 = 0. Solve 5 = v + k*c, -13 = -3*v + c + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22909641 to the power of 1\/2, to the nearest integer?\nAnswer: 4786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 7)*(3 - 5 + 1) + 5 - 1 - 2 - 4 + 5 + 0 - 1 + 2 + 1 + 3 - 2 + 0 - 3 + 3 + 11 - 2 + 0 + 1)*(4*h - 8 + 8).\nAnswer: 68*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = -2*d, -4*c - 5*d - 8 = 1. Let b(q) = q**2 + 3*q + 2. Let x be b(-3). Suppose -3*m + x*v = -16, -2*m - 4 + 14 = -2*v. Solve 4*h + c = m*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45008 and 11446?\nAnswer: 2655472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 6*v**2 - 5*v + 4. Let n be u(5). Suppose 0 = o + o + n, -5 = 5*w - 5*o. Are -4 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -284 - -286. Suppose k*w = -33 + 43. Let m = -11\/14 + 2\/7. Which is the nearest to m? (a) -0.2 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**4\/12 + 5*o**3\/3 + o**2\/2 + 8*o - 2. What is q(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004941 rounded to 5 decimal places?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/8 and -41\/1822.\nAnswer: 7288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 1. Let j be t(1). Suppose 0 = 2*z - j - 3. Suppose -z*p + 18 - 2 = 4*h, 3*p = 12. Solve 5*x = h*n + 10, -x = -5*n - 5*x + 41 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**3\/3 - t**2\/2 - t - 1784. Let f(y) = 9*y**2 - 4*y - 10. What is -f(b) + 6*p(b)?\nAnswer: -3*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46872 + 46869. Which is the fifth biggest value? (a) 2 (b) p (c) 1619 (d) 5 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 + -34?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (-1 + -9 + -2)) + -10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 13. Suppose 5*v - y = 3. What is the remainder when 17 is divided by (v\/(-4))\/(4\/(-72))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 3*r**4 + 6*r - 1\/2*r**6 - 9\/2*r**2 + 3 - 2*r**3 + 0*r**5. Factor h(v).\nAnswer: -3*(v - 1)**3*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -2*o + 4*n, 4*n - 12 + 0 = 0. Suppose 0*b + b - o = 5*w, -w - 53 = -b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 6*(2*sqrt(180) - sqrt(180)) - (-1 + 3 + sqrt(500) + sqrt(500)))*-3)**2.\nAnswer: -792*sqrt(5) + 21816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 785.433 plus -252952?\nAnswer: -252166.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 14*h**2 - 29*h - 50. Determine b(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 2:43 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5 = -5*l, 1 = l + 2*x - 3. Suppose 2 = -l*r + 6. Find the third derivative of 21*u**r - 16*u**4 + 13*u**2 - 20*u**2 wrt u.\nAnswer: -384*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - z**2 + 2*z + 12. Let c be (-1 - 3\/(-6))*0. Is a(c) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-300)*10*(-5)\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-4 + -3 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16774, -33531, -50290, -67051, -83814, -100579?\nAnswer: -117346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 + -101011?\nAnswer: -100a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + 1.8. Let m = -231.33 + 230. Let o = m - 1.67. Which is the nearest to -1? (a) -5 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19520*d + 3635242 - 3635242.\nAnswer: 19520*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/4*(-8)\/14. Let j be n - 8 - (-20)\/9. Suppose 4 = 4*p + 4*r + 28, 4*p + r = -9. Which is greater: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/442848 and 77\/342021.\nAnswer: 76612704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13555 is divided by 199?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 - 6*a**3 - 13*a**4 - 1 + 4 - a**2 + 16*a**4 - a to c*a**4 + s*a**3 + v*a**2 + o + h*a and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2 + 9*k**2 + 2 - 3*k**2 - 13*k**2 - 7*k. Let i(c) = -3*c**2 - 3*c + 2. Determine 5*i(p) - 2*w(p).\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -54, 2, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 50393 = 2*o. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2\/11 - 1794*l\/11 + 896\/11 = 0. What is l?\nAnswer: 1\/2, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8796, 19537, 30278?\nAnswer: 41019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + -2*(sqrt(6) - sqrt(96)) + sqrt(294)*-6)\/(-3*((sqrt(3) - sqrt(36)\/(sqrt(12) - sqrt(48))) + 1*sqrt(432) + sqrt(432))).\nAnswer: 35*sqrt(2)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 16*k - 50. Suppose 5*h - d - 56 = 0, -3 - 77 = -k*h - 5*d. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**5\/20 - s**4\/3 - s**3 - 3*s**2\/2 + 9*s. Give q(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*z + 4*q + 14 = 0, 11 = 3*z - 4*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-2 + -3 - -4*(4 + 1 + sqrt(19)))**2.\nAnswer: -680*sqrt(19) + 7889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*p + 447*p + 531*p - 436*p.\nAnswer: 879*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*k**2 - 525130595*k + 150037310 = 0. What is k?\nAnswer: 2\/7, 15003731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 133 - 12 = -3*m, 4*m + 52 = o. What is the smallest common multiple of o and 672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:50 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7196 + 7186. Let v = -0.1 - -0.1. What is the biggest value in v, m, -1\/10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51.0138 - -51. What is p rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from eeeleellglellelel.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -260490 by 165.\nAnswer: -17366\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/6 + -1\/30. Which is the smallest value? (a) q (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.1. Let o(h) = 75*h**2 - 1113*h - 183. Let q be o(15). What is the closest to q in 2\/11, -11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - -85. Suppose q*a - 4*a = 0. Suppose a*x = -3*d - 2*x + 150, -5*x - 67 = -d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 950 - 473 + 1549*c - 469.\nAnswer: 1549*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**(-1\/3)))\/t)\/t)**(-43)*t\/t**9*t**(-2\/15)*t*t assuming t is positive.\nAnswer: t**(471\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, 60, 90, 120, 150?\n\"Answer: 30*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (2\/110 - 1). Let v = r + 667\/385. Let f = 2209\/22 + -670\/11. Calculate the common denominator of f and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.3 + -1577.726882703.\nAnswer: -1625.026882703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*m**2*t + 1599*m**2 - 55*t - 1700 wrt m.\nAnswer: -52*m*t + 3198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-2))\/((-2)\/2). Let i(x) = -x**2 + 35*x - 29. Suppose -2*l + 4*v + 76 = 0, 2*v + 185 = 5*l + 11. Let n be i(l). Sort 6, -3, d, n.\nAnswer: -3, d, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 954618.5um?\nAnswer: 0.0009546185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 13*m - 73. Calculate x(12).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439916 to the power of 1\/2, to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y + 332 = 2*j, 4*j - 637 = -y. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*b - 38*b**2 - 1\/3*b**3 + 38 = 0 for b.\nAnswer: -114, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -35. Let r = g - -17. Let z = -2 + 2.2. Is z less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a factor of 28893452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198 - -195. Which is the nearest to -0.1? (a) 2 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (7 - 7) - (-1 - 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1 - f + 1 - 4*f - f. What is j(5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Let j be -2*3\/6*1. Let x(d) = -d + 2. Let k(w) = j*x(w) + 5*l(w). What are the prime factors of k(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 20938228?\nAnswer: -20938228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3563 rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.18328 - -0.18328. What is the second biggest value in -1\/5, b, 0.3, -2\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24217 (base 10) in base 15?\nAnswer: 7297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19*-3980\nAnswer: -75620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - ((-16)\/(-7) - -1). Let p be 4\/6 - 11\/3. Let q = p + 4. Are q and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3146)*-1 + sqrt(26) - sqrt(26))\/(sqrt(8)\/(sqrt(16)\/sqrt(4))).\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 19.27 and 4.147.\nAnswer: 23.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -434*b**2. Let w(r) = 10*r**2. Calculate w(m(g)).\nAnswer: 1883560*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -caa2 + -13?\nAnswer: -cab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 7:29 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*r + r**3 - 10*r - 15*r)*(r + 1 - 1).\nAnswer: r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-2 - sqrt(275)) + sqrt(275) + sqrt(275) - sqrt(352)\/sqrt(2) - (sqrt(99) + -1*sqrt(99)*5)\/sqrt(9).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102118090.\nAnswer: 2, 5, 10211809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.121 and 0.563.\nAnswer: -0.068123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4320391147?\nAnswer: 4320391147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -16*d**2 + 2*d + 1. Determine z(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n. Let j(i) = -3*i. Let s(f) = -5*a(f) - 7*j(f). Let r(z) = 17*z. What is r(s(o))?\nAnswer: -68*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 5*l**2 - 7*l + 3. Let p be z(3). Let y = 0.36 + -0.16. Let i = y + -0.1. What is the nearest to p in -5, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*(-88)\/33616.\nAnswer: 1\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 9*l**2 + 7*l - 8. Let v be u(-8). Let i(m) = m**2 - m - 12. Let n be i(v). Let x = 20 + n. Calculate the greatest common factor of 88 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408 and 237.\nAnswer: 32232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1628149 and 8140742\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23124266540 and 1206.4.\nAnswer: 23124267746.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 20*l - 21*l - 23.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)*1*-4)\/(-1*sqrt(324))*-2)**2 + -2.\nAnswer: 542\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from bccruxu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 2197774?\nAnswer: 10988870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122106 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/186*18*(-6)\/(-189).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/392 and -19\/112?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 + -0.1. Let p = s + -2. Which is the nearest to 1? (a) -0.2 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 9*m + 3. Let h be x(-10). Let f be (h\/14)\/((-2)\/8). Let p = -14 - -22. Solve -p = -0*k - f*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 15752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 5*x + 21, -5*l + 3*x = 338 - 358 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(2\/7 + 162\/(-126)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 697209, 1394447, 2091685, 2788923, 3486161, 4183399?\n\"Answer: 697238*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 2. Let q be a(2). Let d = 19 - q. Suppose -5*s - d - 15 = 4*x, 2*s + 11 = -x. Which is smaller: -5\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 1. Give z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/16 - 1195\/4. Let w = -56 - u. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 16630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 28*g**2. Let v(b) = -1710776*b**2. Determine v(m(n)).\nAnswer: -1341248384*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 177, 306, 475, 678, 909?\nAnswer: 1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17619\/8 + 2193. Let r = -1325 + 5327\/4. Calculate the common denominator of b and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 2. Let n be -2 - -3 - (5 - -1). Let u be (5 + -1)*(1 + (0 - -2)). Let r(h) = -5 + 4 + 1 - h + 1. Give n*i(x) + u*r(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d - 52. What is h(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(5 - 4 - 3)*(-d - 13*d**3 + 10*d**3 - d**4 + 8*d**3) to the form u + x*d**2 + w*d**3 + v*d**4 + f*d and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 137693*p + 137717*p - 27*p**2 - 275410*p. Let n(l) be the second derivative of l**4\/6 - l. Calculate r(n(c)).\nAnswer: -108*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2 = -i, -3*i = -6 - 0. Let v(o) = -6 + 0*o**2 - 3*o + o**2 + t*o**2. Calculate v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 119*p - 1. List the prime factors of a(1).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2112 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 7, -5 in descending order.\nAnswer: 7, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19160284 or 19160290?\nAnswer: 19160284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -186921 divided by -3?\nAnswer: 62307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 - 39*x - 71. Determine h(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -508807 (base 9) in base 4?\nAnswer: -1021222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -165, -385, -705, -1131, -1669?\n\"Answer: -r**3 - 41*r**2 + 4*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*l + 26 = 0, 2*t - 4*t = -l - 23. Suppose 2*o = t, -10*o + 8*o = -4*v + 4942. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2004 by 668.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6777 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -4060, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -32 (b) -1\/3 (c) -1\/6 (d) -1 (e) -5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-2)*3060\/(-4896)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -685.\nAnswer: -14\/685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a + 3. Let z(n) = 22*n - 156. Let g be z(7). Give u(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 3*o - 2. Let c be z(3). Suppose 9*g - c = 5*g. What is the remainder when 13 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58166 is divided by 118?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8971 divided by -26.\nAnswer: -8971\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-60)*-3*1\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1619 + -1619. Suppose -2\/5*b**3 + l + 2\/5*b**2 - 2\/5*b**4 + 2\/5*b = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + w - 11, 2*v + 19*w - 21*w = 46*w - 58 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*h + 44*h + 17388 = 433*h for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 584 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 0*q**3 + 5*q**3 + (-2*q + 0 + 0)*(-q**2 - 4*q**2 + 4*q**2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*l + 195, -2*d - 2*d + 301 = 3*l. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6311\/5 + 1262. What is the closest to d in 0.09, -3, 1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-18\/5)\/p**(-10) assuming p is positive.\nAnswer: p**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 142 = -138. Let a be w\/49 - (-234)\/14. What is the highest common divisor of a and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -30 + 23. Is i < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-210)*(-1)\/2*(-42)\/(-30)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence too when three letters picked without replacement from {t: 2, o: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 - 70. Let x = v - 23. Let t(z) = -z**2 - 9*z + 8. Calculate the least common multiple of x and t(-7).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.001 and -0.0501077.\nAnswer: -0.0501578077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 15*g - 31. Let d be h(3). Let x = d + -9. Suppose 15 = x*p, 5*w = -p + 2042 + 591. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(684) + 1.\nAnswer: 6 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -314331516*k**2*r**3 + 127*k**2*r**2 - k**2*r + 17*k**2 + 42*k wrt r?\nAnswer: -1885989096*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045 + -2982913794?\nAnswer: -2982913793.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 339*i*n**2 - 1011*i + 2*n**3 wrt n?\nAnswer: 678*i*n + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -5 in decreasing order.\nAnswer: 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-25))\/(1422\/1185).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, j: 6, q: 1}. Give prob of sequence jjq.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*j + 2*v - 4*v, 0 = -5*j - 3*v + 5. Suppose b = -4*s + 15, -s + 0*b + j*b = 9. Let t(c) = c**2. What is the units digit of t(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4812963117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*q = -102*q - 16. Solve -3*j - 13 = -f, 0 = -26*f + 30*f - q*j - 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*f + 3*y, 0 = 3*f - 0*y - 2*y - 46. Let -12*b**3 + 6*b**4 + 9*b - 20*b**2 + 9*b**5 - 6*b**5 + f*b**2 = 0. Calculate b.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35705, 232.8, 4, 1 in decreasing order.\nAnswer: 232.8, 4, 1, -35705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 - 5*d**3 + 13*d**3 + 8*d**3.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -49?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 8*q + 11. Let t be a(-9). Let r be (-3 - 2)\/(3 - t). Let j = 9 + r. Calculate the least common multiple of j and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849185 is divided by 191?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-5)\/((-5)\/(-6)). Suppose -x*z + v = -10, -v + 8 - 3 = 0. Suppose -4*t - q + 6 = -2*q, q - 8 = -3*t. Solve -z*y = t*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/25 and 44\/245.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -10, n - 6903 = -4*r - 0*n. Calculate the greatest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354, -314, -202, 18, 382, 926, 1686?\nAnswer: 2698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-seven quarters of a milligram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4554249*h - 4554249*h - 19*h**2. Let d(v) be the first derivative of v**2 + 1. Determine d(n(m)).\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6*j**(4\/9)*(j\/j**1)\/(j\/((j*j**(-2\/23))\/j)) assuming j is positive.\nAnswer: j**(1109\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (5 + (-5 + 0 - 4)) - 13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4601, -9198, -13795, -18392?\nAnswer: -22989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 20*n**5 - 17865*n**4 + 338885*n**3 - 2098305*n**2 + 4436675*n - 983250 = 0.\nAnswer: 1\/4, 5, 9, 874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u = -3*u + 13*u + 1664 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 10, 0, 2, -185 in descending order.\nAnswer: 10, 2, 0, -8, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - b. Let u be q(1). Suppose -3*z + 7*z - 8 = u. Suppose -z*l = l + 2*d + 4, 0 = 5*l - 4*d - 8. Solve l = c + 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2941.687 millilitres to litres.\nAnswer: 2.941687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 59 + (-79 - (-138 + 69)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1, 4, 5.\nAnswer: -4, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*y = 6*u - 60, 2*y + 18 = 2*u. Suppose -o - u = -3*o. Suppose -2*j - 2 = 0, -o*j = -2*l - 3*j + 20. Is 8 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5433743951 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/(((-390)\/12)\/(-13)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (5 - (21 + (-2 - 2))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 9, 18, 41, 84?\n\"Answer: b**3 - 2*b**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3622202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + (-4)\/(88\/11737). Let l = s - -1603\/3. Solve -2\/3 - l*b**2 - b = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 8*v - u + 23 = 0, -6 = 3*v + 2*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 41 (b) -2\/3 (c) 1\/3 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69479 is divided by 5344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 6*p + 6. Let m be c(-5). Suppose -k = 2*d + m, -k - 6 = d - 4. Let h(t) = t**2 - t - 2. List the prime factors of h(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 10. Let i(x) = -3 - 5*x + 0*x + 4*x - 4. What is 7*i(u) - 5*k(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*r - 3*r**2 + 25*r - 2*r**2 to c*r + t*r**2 + n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 712\/15269, -2\/115 in ascending order.\nAnswer: -2\/115, 712\/15269, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 15*q**2 + 6*q. Let n(v) = -v. Let l be (-868 - -872)*3*-1*2\/4. Calculate l*n(i) - a(i).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3948335 is divided by 1315950?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 88 (c) 3\/5 (d) 2\/13 (e) 8 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(5)*1 - sqrt(1050)*6)\/(sqrt(1350) - (1*sqrt(1350)*-4 - sqrt(1350)))*-6.\nAnswer: 29*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4223 (base 8) to base 11.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010001110101 (base 2) in base 16?\nAnswer: 5475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 4*h**2 - 115*h + 757. Determine a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 83 = -16*y. List the prime factors of y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -161744, -161771, -161814, -161873?\n\"Answer: -8*h**2 - 3*h - 161733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/((-2324)\/(-1494)). Which is bigger: 1627 or s?\nAnswer: 1627","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 540 - -152313?\nAnswer: 153253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 602*x - 3538. Give g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*v - 4*m, 5*m - 2 - 8 = 0. Suppose 5*d = -r - 14 - 6, 2*d + v = -r. Is (-60998)\/(-182) - d\/(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -759 + 1762. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -0.4. Let q = -239 - -347. Let z = q - 108.23. Which is the closest to 0.1? (a) 2 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12378, -12444, -12610, -12918, -13410, -14128, -15114, -16410?\nAnswer: -18058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2010, 3728, 5446, 7164?\n\"Answer: 1718*h + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 207*r - 65 + 137 - 62 + 35*r.\nAnswer: 242*r - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 4. Let o be z(2). Let x be 5\/((-15)\/o) + 3. Solve -2*i - 7 = -x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j + j - 4*j)*(108*j**2 - 1442 + 1442) + 2*j**3 + 2 - 2 as h + g*j**2 + y*j + t*j**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**2 + 2*y**2 + 0*y**2)*(1 + 0 - 2) + 127*y**2 - 124*y**2 + y + 2*y to the form r*y + s + u*y**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmv when four letters picked without replacement from mvvmvvm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3291\/10 - 333. Let d be 146 + -2 + 2 - 1. Suppose 5*j = 0, 2*j + 0*j - d = -5*c. Calculate the common denominator of q and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 11*m - 6*m - 401, -238 = -3*m + 2*d. Let j = m + -60. What is the greatest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 3427?\nAnswer: -11\/3427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 199538 + 12824. Let k = y + -33128309\/156. Find the common denominator of k and 113\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -2 (c) 11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 divided by 5?\nAnswer: -247\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 366772 and 4899026?\nAnswer: 68586364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 29*m**2 - 48*m + 92. What is s(30)?\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(44\/209)\/(-4).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**3 - 34284747*n**2 + 55*n - 3386276 wrt n?\nAnswer: -18*n - 68569494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -732, -8, 5\/6, 0.2, -1\/35, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 12*v**2 - 17*v - 3. Let o be f(-5). Let z(k) = 175*k - 87. Is z(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**2 - 5*o - 10*o**2 + 18*o**2 + 57*o to n*o + x + y*o**2 and give n.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/14)\/(32\/(-14)))\/(10570 - 10572)?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-2)\/(-12)*2)*(-28)\/910.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1137*s**3*y**3 - 42*s**3 - 45*s**2*y**2 - 128*s*y**3 + 2*s + 2*y**2 wrt y.\nAnswer: -6822*s**3 - 768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104873 or 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 96 = -i, -x - 3 = 2*i - 100. Let u be (-3)\/(0 + 1) - (x + 0). Let z = 176 + u. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**5\/10 - m**3\/3 + 3*m - 2. Let x(n) be the first derivative of j(n). Find the second derivative of x(i) wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 5*t + 6. Let j be p(6). Suppose -4*u = -j*u. Suppose 5*r = -u*r + 45. Calculate the remainder when 25 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (52\/18)\/(20\/(-15)). Let x = -257\/120 - y. Which is the closest to x? (a) -3\/8 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*w - 64395 = -261*w. Let i = 314773\/44 + w. What is the common denominator of i and -89\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/(-2))\/(-3))\/((-41)\/((-1025)\/75))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031833 rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9405 by 209.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 253645.83us in minutes?\nAnswer: 0.0042274305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 1933 = -52. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7272501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7411, -22317, -37223, -52129?\nAnswer: -67035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + -1 + -9 + 4 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(-2*o + 2*o - o)*(7 - 22 - 5 + (2 - 1 - 2)*(-3 - 1 + 3)) as l*o + k and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 4)*(-365 - 268 + 147)*(-5*z + 4*z + 2*z)*(2 - 1 + 0).\nAnswer: -486*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174456 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4367.17 - -4367. Is 1\/82 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {g: 1, a: 2, r: 10, j: 2, u: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.5 * -2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 12*h + 13. Let c be f(-11). Let j be 1*0\/((-2)\/1). Factor -2\/5*a - 2\/5*a**c + j.\nAnswer: -2*a*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398361013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66747288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -443, 3, -0.2?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*q + 52458 - 14636, 5*q + 37870 = 5*g. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 3 + -1 + sqrt(300) + (sqrt(300)*3)**2.\nAnswer: 11*sqrt(3) + 2702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(176)*-4)**2 + sqrt(176) - (3*-1*sqrt(176))**2) + (4*(1 + sqrt(176)))**2 + -4 + 3)*6.\nAnswer: 792*sqrt(11) + 24378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 598636196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -4*d + 48*a - 47*a, -66 = -2*d + 3*a. Calculate the remainder when 1855 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 4. Let c be o(-8). Suppose -6 = -2*l + c. Suppose -2*h + 172 = 4*z, 32 + l = z - h. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 3*i**3 + 6*i**3 + 5*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1494.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrlrfllrrflxlxxrl. Give prob of picking 1 f and 2 r.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -81672 (base 9) to base 4\nAnswer: -31020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*n - 406*n = 189*n - 2898 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12*n**(-2\/7))\/((n**(1\/19)\/n)\/n**(2\/21)) assuming n is positive.\nAnswer: n**(5090\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 25*o**2 + 61*o**2 + 182*o**5 - 184*o**5)*(3 - 1 + 1).\nAnswer: -6*o**5 + 108*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**11\/o**(-16))**(-28)\/((o**(-2\/9))**18\/((o*o**(2\/11))\/o*o*o**(-8))) assuming o is positive.\nAnswer: o**(-8347\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/4 + 5*s\/4 + 3\/2 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, 0, 25, 56, 93?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/(y\/(y\/y**(-9)*y)))\/y)\/y*y)\/y*(y*(y\/((y*y**(-12))\/y))\/y)\/y)**(-2\/31))**48 assuming y is positive.\nAnswer: y**(-2016\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t. What is the first derivative of t*w - 3*w + 6 + 4*w wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 6*g + 21. Let j be 0 - (0\/g + 2 + -12). Solve 4*y + 2 = j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -957 - -956.5. What is the nearest to -2\/5 in -2\/7, g, -0.03, -2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1545 and 31\/50.\nAnswer: 15450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45\/2 of a hour?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 + 2*h**3 + h**3 - 10*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d - 42. Let u = d - 11. Suppose 5*p + 5*m - 229 = u*p, 3*m + 588 = 5*p. Calculate the greatest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5411, -21548, -48407, -85994, -134315, -193376, -263183?\n\"Answer: -i**3 - 5355*i**2 - 65*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6*(-6)\/(-4). Find the common denominator of 95\/2 and (268\/(-18))\/(-4*a).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q = -16*q + 72. Let h be (-17)\/((-85)\/50)*q\/(-5). Solve -g + 2*g + 3*s = 12, g = h*s - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14067238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 915866, 1831734, 2747602, 3663470, 4579338?\nAnswer: 5495206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 4 (b) -84075 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 249117609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212002102221 + -100010?\nAnswer: -1212002210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -1*1*sqrt(77))\/(sqrt(33)\/(2*sqrt(3)) - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3 + 5188780*z**2 + 5188786*z - 10377564 = 0.\nAnswer: -2, 1, 2594391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d - 2094 - 4*d**2 + 3*d**2 + 2092 + 2*d**2. Let s = -12 - -7. Give i(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 574408 and 2872040.\nAnswer: 2872040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226680 + -1133399\/5. Let y = -2.7 + 3. Which is the closest to i? (a) 0.02 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2 + 2 - 10 + 6*g + 2 - 2. Let j(d) = -13*d**2 + 11*d - 16. Let n(h) = -11*i(h) + 6*j(h). Differentiate n(c) with respect to c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1258 + 122?\nAnswer: 137a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -205708427 + -90991573. Round b to the nearest one million.\nAnswer: -297000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**7\/210 - t**3\/2 + 3*t**2. What is the derivative of g(r) wrt r?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11*c - 14. Let v = 95 + -84. Let p(h) = -23*h + 26. Let n(y) = v*t(y) + 6*p(y). Let d(b) = -b. Calculate d(n(z)).\nAnswer: 17*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -7*i. Suppose -b - 2*b + 24 = 3*n, -2*n = 5*b - 28. Suppose b*v = 16 - 0. Solve p = 3*p - 4*z + 4, i = v*p - 5*z + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*((-2)\/22)\/(99\/363).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/(((-44)\/(-48))\/(8\/8))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54834 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1018, -2035, -3052, -4069, -5086, -6103?\nAnswer: -7120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqjnqcnnqqncnnnnjnn. Give prob of picking 1 n and 1 c.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w - 25*w = -35 + 37, 5*j - 8*w - 21 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11114*f**2*i + 38*f**2 + 3618*f*i - 2*f - 38 wrt f?\nAnswer: 22228*i + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 5*q**2 - 3*q - 2. Let n be m(-5). Let p be (-4)\/(-6)*3\/2. Let l = n - p. Calculate the greatest common factor of 96 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11054 times 0.1?\nAnswer: 1105.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 14*g**2 + 25*g - 7. Let h(m) = -13*m**2 - 23*m + 6. What is -5*h(c) - 4*p(c)?\nAnswer: 9*c**2 + 15*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -p - 1. Suppose -46 + p = -2*d. What is the least common multiple of d and (1 - 2) + (2 - -17)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -14, 3, -6 in ascending order.\nAnswer: -14, -6, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 54 + 75*s**3 - 115.\nAnswer: 75*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199330.\nAnswer: 2, 5, 31, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 420*z + 8066. Let s be n(48). Calculate the highest common factor of 22 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-80)\/3)\/5*135\/(-4410).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4 - 2 + u**2 + 5*u - 10*u**2 + 4*u**2. Let q be b(-3). Let d = q + 99. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0394368 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u = 1107. Suppose -381 = -5*n - 3*x, 2*n + 3*x = 7*n - u. Calculate the greatest common divisor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235009*d**3 + 44110*d**2 + 13*d wrt d?\nAnswer: -1410054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 13) in base 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -68*g + 72*g - 4*h - 158, -2*g = -20*g - h + 761 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1870 + -1)\/3 + -4?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 12*b**2 - 3*b - 15. Let i be 1\/(-3) - (-245)\/(-21). Is z(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*z + 20, -z = -2*q - 2 + 8. Sort -5, -2, q in descending order.\nAnswer: q, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 5, 4, 2090\/123?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194854*n + 389713*n - 194855*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 2. Let a be o(2). Suppose -5*c = -a*c - 100. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214376 > 214375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 475*m + 476*m - 949*m + 36, 4*x + 36 = 3*m for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1477980 divided by 115?\nAnswer: -12852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 280033301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 + 7 = 0. Let b be -1 + 1\/f*3. What is the units digit of 24\/20*(b - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 6.4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*u - 6834. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*h + 90*h + 30 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 - 3*d + 0 + 0 + 4*d.\nAnswer: 14*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:37 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -10, 4\/5, -2, -0.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(3))*4 + (sqrt(432) + -1)**2 + sqrt(3))*-4.\nAnswer: -1700 + 76*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3108\/5 + 1 + 3\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16072*x**2 + 196*x - 125*x - 71*x to the form y + c*x**2 + q*x and give c.\nAnswer: -16072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 8*w + 156. Let d be k(-19). Suppose 0 = -0*o + 4*o - 4*s, 2*o = -d*s. Solve o = 4*t + 2*f - 4, -4*t - 4*f - 6 = -18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9545407693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -21. Let y be ((-3)\/(-9))\/((-1)\/i). Solve w = -y*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 4*s - 23, -2 = -13*y + 16*y + s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -20555?\nAnswer: 349435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11448 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 5024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 15\/4*m**4 + 91*m**2 + 0 + 0*m - 43\/2*m**3. Differentiate p(h) with respect to h.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 11 - 8 + y + 4*y + 5*y + 0*y + 2*y + 2*y - 3*y + (-3*y + 0*y + y)*(-3 - 3 + 5).\nAnswer: 16*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109937?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x**(13\/7)\/x)))\/x*x*x*x\/(x*x**(-20))*x)\/(x*x\/(x\/x**(-3\/4)))**(-21))**(2\/55) assuming x is positive.\nAnswer: x**(787\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4900628 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 20 - 26 - -32.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2552 + 6795. Suppose 1825 = k + 4*i, 4*k - 2992 - a = -3*i. What are the prime factors of k?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13710 and 1157124.\nAnswer: 5785620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2335641 + -9?\nAnswer: -2335650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 8:54 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 239739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, e: 1, r: 7, h: 4, n: 2, y: 2}. Give prob of picking 1 n, 2 y, and 1 r.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15086 - 15082. Solve -m*v = -p, -3*v - 25*p = -20*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3446, -6895, -10348, -13805, -17266, -20731, -24200?\nAnswer: -27673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 6005 and 6004 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pei when three letters picked without replacement from peipp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 331298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 657 - -3?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -1\/4*s**4 + 21\/2*s**2 + 0*s**3 - 1\/10*s**5 + 19 + 0*s**6 + 1\/2*s**7 - s. What is the third derivative of c(u) wrt u?\nAnswer: 1260*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 1458\/533 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o + 5. Let u be h(-4). Let j = 49 + u. Calculate the greatest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(891)*2 + 3) + 4 + -5)*-3.\nAnswer: -162*sqrt(11) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/621 - (37 + -37 - 1026\/(-897))?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 2*a - 3. Let u be d(-8). Suppose -7*i + 2*i = -u. Let t = i + -1. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87.2 + 99. Round n to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/70 and 67\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - t + 22 = 0, 30*t + 96 = 2*h + 40*t + 41*t - 48*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/32008 + -32017\/96024. Let i = 1.04 - 0.04. Which is the nearest to 1\/8? (a) 1\/4 (b) i (c) f (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - -11. Let l = 229 + -252. Let f = p + l. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-380)\/399 - ((-15)\/9 - -1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213172 divided by -6.\nAnswer: -106586\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 21 + 121 = 0. Let r = -11 - p. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - r - 191*r**3 + 192*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*s + 10 - 30, -2*s - 13 = -3*d. Put -4, 5, d, 4 in ascending order.\nAnswer: -4, d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2359694\nAnswer: -5\/2359694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (194*p - 195*p - 7 - 1)*(2 + 0 + 1) to the form x*p + q and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/30149 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 - -4. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 188 and 68?\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54536 at most -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*27\/(-9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**5\/60 - 5*h**4\/12 - h**3\/2 - 4*h**2. Let t(x) be the first derivative of i(x). List the prime factors of t(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20c91f (base 16) to base 14\nAnswer: -3dd063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 + -8.952551.\nAnswer: -21.952551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.01 + -0.01. Suppose x - 2*t - 2*t = 23, 4*x = 3*t + 27. Let o = -1170 - -3508\/3. Which is the fourth biggest value? (a) x (b) y (c) o (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 2*d - 3*f - 17, -3*d - 5*f + 207 = 0. Let c(n) = -4*n**3 - 4*n**2 + 2*n + 1. Let t be c(-4). What is the greatest common divisor of d and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 153, 134, 97, 36?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -0.53 (c) 1\/4 (d) -0.5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -112033?\nAnswer: -112023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 292 = -11*x. Let r = -101 - x. What is the remainder when r is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + f + 8 - 9, -5*f = 2*z + 13. Let r(k) = -9*k. Let o(m) = -100*m. Calculate z*o(u) - 65*r(u).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 - 3*d**3 - 3*d**3 + (3339 + 25*d**2 - 3339)*(4*d - d - 2*d).\nAnswer: 23*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1365 + 1364.72. What is the fourth biggest value in -1\/2, 4\/7, 3, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 6321.85\nAnswer: 1264.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -710*r - 35270. Determine s(-50).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*30\/((-450)\/235)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 1, z: 4, f: 1, q: 4, s: 1}. Give prob of sequence if.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 4*f. Let g(p) = 2*p**2 + 6*p. Let l(r) = 2*g(r) + 3*h(r). Let i(y) = 0 + 0 + 4*y**2 + 0. Calculate i(l(c)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 170975 divided by 977?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27265813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.608 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*((3*u - u - 10*u)*(3 + 5 - 1) + 52*u - 40*u - 32*u).\nAnswer: 76*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 411*a - 3707. Let w be q(9). Solve w*x - 11 = 224*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 5\/2 (b) 2 (c) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113 or 3512\/31?\nAnswer: 3512\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1961 + 1063 = 432*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -357312, -356506, -355700, -354894, -354088?\n\"Answer: 806*q - 358118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61493 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-34) + (-610)\/17. Let q = 42 + t. Suppose -3*w - q*s + 2*s + 5 = 0, 4*s - 13 = 5*w. Put 2, -2, w, -5 in increasing order.\nAnswer: -5, -2, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.79117 to two dps.\nAnswer: -18.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 2*g - 2. Let s be l(0). Let o be 7 + -2 + 4\/s. Let t(u) be the third derivative of -u**5\/60 - u**3\/6 + 6*u**2 - 4. Give t(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.81409 months in centuries?\nAnswer: 0.172345075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 - 5*a + a**4 + 4*a**2 + 266695 - 266700 - 5*a**3 + 0*a**3 + 2*a**3 to v + n*a**4 + q*a + i*a**2 + c*a**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 5*a + 7. Let v(q) = q**3 + 2*q - 3. Let b(n) = n**3 - 3*n**2 + 3*n - 2. Let u be b(3). Let c(g) = u*v(g) + 3*r(g). Factor c(w).\nAnswer: w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 21. Suppose -10*d = -x*d - 84. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 t when four letters picked without replacement from clltljcjtljljjc?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132 - -427216?\nAnswer: 427350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*3*6)\/((sqrt(1331) - sqrt(1331)*1) + sqrt(1331)) + (sqrt(504)\/sqrt(32) + 1)**2 + -3.\nAnswer: 51*sqrt(7)\/11 + 55\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -67267 - -5\nAnswer: -67262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 6*c**2 + 3*c**4 - 28*c - 1 + 5*c + 13*c + 11*c to the form w*c**3 + f*c**4 + g*c**2 + r + n*c and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - l**4 - 5)*(-2 + 0 + 3)*(-1 + 5 - 3)*(10 + 22 - 5) as k*l + s*l**3 + t*l**2 + q*l**4 + j and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let c = 4 - t. Let s be 1\/c + 89\/5. What is the greatest common factor of s and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/48 + (-7)\/(-6). Suppose 1350 = 3*t + j*s, -4*t - 2*s - 2266 = -9*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 156555 - 106011. What is the thousands digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/12*117\/(-26). Suppose -x + 1 = -0*x. Let d = x - 1. Sort d, b, 3 in decreasing order.\nAnswer: 3, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 + 3*w**5 - w**5 + 3*w**5 - 88*w**5 - 179*w**5 + (4*w + 0*w - 2*w)*(4*w**4 - w**4 - 4*w**4) - 2*w**5 + 0*w**4 + 0*w**4.\nAnswer: -266*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1804 is divided by 1609?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3114.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 19*c + 69. Let x be s(-22). Calculate the greatest common factor of 69 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - t + 1. Let z(x) = 19*x**2 - 9*x + 9. Let o(w) = -18*g(w) + 2*z(w). Let v(r) = -26*r**2 + 2*r. Calculate o(v(s)).\nAnswer: 1352*s**4 - 208*s**3 + 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 218675 + 50245. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320 divided by -80.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 4, z: 3, b: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.170342 to 2 dps.\nAnswer: 6.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3432)\/(-2310) + 4\/(-14). Let g = 0.2 - 0.1. What is the nearest to 0.1 in -2, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4, -5*u + 3139*d = 3136*d + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n + 124*n = -106*n - 7137 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9786 and 2058?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k - 1. Let s(y) be the third derivative of 1\/24*y**4 + 0*y + 0*y**3 - 2*y**2 - 23. Give s(t(v)).\nAnswer: 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -18. Let w = -1 - n. Let y = 9 + w. Calculate the highest common divisor of 42 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.2, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3)*u\/(u**10*u))\/(u**(-2\/23)\/u*u\/u**5))**(-2\/31) assuming u is positive.\nAnswer: u**(586\/2139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -19.4. Let p = 30 - 33. Put -2\/17, y, p, 0.1 in increasing order.\nAnswer: p, y, -2\/17, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 + -25 + 162 + -104?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*d + 33166 = 34016 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75563899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-147 - (-200 - -84)) + -77\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26510 times -1\nAnswer: 26510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 5ea?\nAnswer: 5ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 103934496?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19537*n - 819*n + 6693*n.\nAnswer: 25411*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 4*j + 2*j)*(j**4 - 2*j**3 + 2*j**3) + 12*j**5 + 4*j**3 - 4*j**3.\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -456*u**5 - 2745*u**4 + 5874*u**3 + 30213*u**2 - 32238*u - 648 = 0.\nAnswer: -6, -4, -3\/152, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**4 + 855*w**3 + 19270*w**2 + 151620*w + 394200 = 0.\nAnswer: -146, -10, -9, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(3\/2))\/a*a*a)\/a**(-11)*a**(-1\/54)\/a**25 assuming a is positive.\nAnswer: a**(-284\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l - 3*l + (-3*l - 5*l + 0*l)*(1 + 0 + 1) - 5*l - 29 + 29)*(-2 + 3 - 2).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l + 2 - 8 - 7 + 6 as j + h*l and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(931) + 0).\nAnswer: 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*q**3 - 6310*q**2 + 77785*q - 21710.\nAnswer: 5*(q - 167)*(q - 13)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, 1144, 2499, 4384, 6799?\nAnswer: 9744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 2996572\/(-16) + -5. Let b = p + 191543. Let t = b + -4271. Find the common denominator of -57\/10 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 38, -15\/4, -1\/3, -4\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 - (4 - (-2 - -7)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, -4, -23, -334, 1, 5 in decreasing order.\nAnswer: 5, 3, 1, -4, -20, -23, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*c - 41, 3*d + 4*c + 5 = 14. Let f be -10 - (9 - -3)\/(-3). Let w(l) = l**2 + 6*l + 19. What is the remainder when w(f) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a day in minutes?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.554, 104, -1.2, 1\/3, 1 in decreasing order.\nAnswer: 104, 1, 1\/3, -1.2, -1.554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1155 and 4125.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11027 is divided by 1537?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/17)\/d)**(10\/7)*(d**(-8))**(16\/11))**(5\/18) assuming d is positive.\nAnswer: d**(-42205\/11781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1570 bigger than -1571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 129 = 303. Suppose -146 = -f - 4*v, -42*f = -47*f + 3*v + 822. What is the lowest common multiple of f and x?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1829662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.028 - -0.258. Let u = h + -0.29. Sort -0.08, -3\/5, 4, u.\nAnswer: -3\/5, -0.08, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 390, 581, 772, 963, 1154?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.4 - -3.6. Let u = -15.000074 + i. Round u to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 16905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 410210 (base 5) in base 12?\nAnswer: 7764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64629859 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(208))**2 + -1.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 16602.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*n + 3*n - 3*n + (-n - n + 0*n)*(0 + 1 + 0) + 1 - 1 + 3*n.\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 82, 82, 84, 88, 94, 102?\n\"Answer: q**2 - 3*q + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/11838 and -133\/5066664.\nAnswer: 5066664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.4 (c) -0.07 (d) -3 (e) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21684844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/12 and 47\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 47054648*m - 830302461901464.\nAnswer: -2*(m + 35290986)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(21\/15*(-5)\/(-2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2442980 rounded to the nearest 10000?\nAnswer: -2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - ((5 - 0)*-1 - -4). Suppose 5*x - 22 = -4*c, -3*c + 7 = 5*x - 12. Find the second derivative of -t + 5 - 3*i**c - i wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10722 - 10721.5. Let n = -0.1 - 0.4. What is the smallest value in n, -1, b, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 1\/56*p**8 - 2 + 0*p**7 + 0*p**5 + 14*p**3 - 1\/10*p**6 + 3*p + 1\/6*p**4 + 0*p**2. Find the third derivative of w(d) wrt d.\nAnswer: 120*d**3 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2)\/g))**26\/(g**(-2)*g)**2)**(-16) assuming g is positive.\nAnswer: g**(-1696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 46415?\nAnswer: -46405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21794 and 193582.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1801*j = -1796*j - 19495. List the prime factors of j.\nAnswer: 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 5957142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (28\/(-30))\/((-4)\/(-80)) and (-555)\/(-36) + 2\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11855721 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*i - 0*i - 34, i + 102 = -4*l. Let o = l - -33. What is the greatest common divisor of 49 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -30. Sort q, 2, 1 in descending order.\nAnswer: 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 274 and -0.3.\nAnswer: -82.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.124068 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*v = -6*z - 5, 3*v - 15 = 0. Find the second derivative of 0*h**3 + z*h + 5*h**5 + 0*h**3 + 0*h**5 wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 9*d + 20 = 11*d - 2, 95 = 13*v + 37*d + 388 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 14) in base 6?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 37, 59, 85, 115?\n\"Answer: 2*r**2 + 12*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*b + 5370, -3*b - 3009 = -4*m + 1290. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12878808559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*k - 8 = 0, 2*k + 12 = -5*u - 2*k. Let h(p) = 3*p**3 - 8*p. Let c(x) = 2*x**3 + x**2 - 7*x + 1. Let i(l) = u*c(l) + 3*h(l). Calculate i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 504846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4850)\/950 + 16\/152\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -l - l. Let u(f) = 6*f**2 - f. Is u(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 31*k - 28. Let c be w(-12). What is the highest common factor of c and 616?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:16 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (393\/(-18) + 8\/(-48))\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 4\/7, 6, 15 in decreasing order.\nAnswer: 15, 6, 4\/7, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 190, 1 in decreasing order.\nAnswer: 190, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/7659 and 13\/7659?\nAnswer: 7659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 21\/4, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1063 + 2239 + 3249 - 990)*((3*g + g - 3*g)*(5 - 1 - 6) + 4*g + 2*g - 2*g).\nAnswer: 11122*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1778759, -1778760, -1778761, -1778762, -1778763, -1778764?\nAnswer: -1778765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5 = w + 2, -3*w = -j - 34. Let m = w - 11. Suppose -m*s + 27 = 9. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*p + 6184 = -10281, 5*w - 3*p - 16457 = 0. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + 22?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 - 17 = 0. Suppose j + h = 2*j. Suppose 4*q - 5*q + d = 1, 2*d = -3*q + j. Solve 3 = -s - q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 42 = -5*z, z = -4*z + 5*x + 40. Suppose t + 38 + z = 0. Let d = t - -62. Solve 13 + 0 = -5*r + i, 0 = 3*r - 3*i + d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3 + sqrt(1584))*1 + -1 - (sqrt(1584)*1*-5 + sqrt(1584)*-2 + -2))**2.\nAnswer: -1920*sqrt(11) + 506900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15))**(1\/36)*(p*p**(-22)*p)**(-19) assuming p is positive.\nAnswer: p**(4555\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 - 6*r.\nAnswer: r*(r - 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {e: 4, w: 10}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89036, -89037, -89038, -89039, -89040, -89041?\nAnswer: -89042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 u when four letters picked without replacement from ssswssssewuueesuess?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-6) - (-4)\/(-6). Let j be 2 + (-1 + q - 2). Let y be (-50 + 62)*4\/6. Solve -f + t = -4*t + y, j = -f - 5*t + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 84*g**2 - 80*g.\nAnswer: -4*g*(g - 20)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7 - 1564*p**2 + 3*p - 690*p**2 + 325*p**2 - 1651*p**2. Let j be d(-9). What is j rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 58. Suppose 0*i = -y*i + 2520. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5312, -5315, -5320, -5327?\nAnswer: -5336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, 3, -5 in descending order.\nAnswer: 9, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 320595, 641192, 961789, 1282386, 1602983, 1923580?\n\"Answer: 320597*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a - 41*a - 678000 = 0. Suppose 0 = -47*l + 50*l - a. Round l to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, s: 7}. What is prob of picking 2 s?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -3*p**3\/2 + 15*p + 5. Determine q(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 68100349.\nAnswer: -68100349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2953*0.4.\nAnswer: 1181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -21, -26, -4, -0.02 in increasing order.\nAnswer: -26, -21, -4, -0.02, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1802223406 to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - i**3 - 18*i**2 + 4 + 3*i**2 + 10*i**2. Let n(j) = -2*j - 9*j**2 + 11*j - 15*j**3 + 12*j**3 + 8 + 1. Let s(d) = -9*m(d) + 4*n(d). Factor s(k).\nAnswer: -3*k**2*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-183 - -8)\/(-25))\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128178451 to the nearest integer?\nAnswer: 11322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhx when three letters picked without replacement from {h: 1, x: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 2*b + 0*b)*(-2 - b + 2) - 501*b**2 - 5336*b + 5316*b + 89*b**2 - 177*b**2 as l*b + t + j*b**2 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3009020, 3009033, 3009046, 3009059, 3009072?\n\"Answer: 13*c + 3009007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/3 and (93\/(-12945))\/(23\/(-115)).\nAnswer: 2589","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a = 941 - 626 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1825324857 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 2\/7, 3\/11, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1100) + ((sqrt(1100) - 2*sqrt(1100))*-6 - sqrt(1100)) + (sqrt(1100) - (4 + sqrt(1100) + 2)))**2.\nAnswer: -960*sqrt(11) + 39664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8*k - 96 = 0. Let x be k\/(-9) + 2 - 51\/(-9). Which is greater: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 184 + 206. Suppose -v = -5*v + 5*x + 716, -2*x = 3*v - 560. Suppose v + s = 2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147666 - 147664. Let u(k) = k**2 + 9. Suppose 9*j = 4*j. Calculate the least common multiple of w and u(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 756*s**4 - 411694*s**3 + 56165788*s**2 - 31793536*s - 2663424 = 0.\nAnswer: -2\/27, 9\/14, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 9:21 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d)**(-13))**13 assuming d is positive.\nAnswer: d**169","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7516 + -7516. Let n(a) be the first derivative of 0*a**3 + l*a**2 - 5\/4*a**4 + 25 - 17*a. Differentiate n(p) wrt p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(750) - sqrt(750)*5*3)*-6)\/(sqrt(30)\/(sqrt(24)\/sqrt(8)) + sqrt(10) - (sqrt(490)*4 - sqrt(490) - sqrt(490))).\nAnswer: -35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 39*p - 81. Let u be r(41). Sort u, -9, 6, -1 in increasing order.\nAnswer: -9, -1, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68 - 3?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 40 + 8. Let a be (-6)\/z - 93\/6. Calculate the remainder when 89 is divided by (-5)\/a - (-89)\/3.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**3 + 3661*v**2 + 3*v + 2884 wrt v?\nAnswer: -6*v + 7322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*b**2 + 32*b - 547*b**2 - 32*b.\nAnswer: -147*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 100, 149, 224, 325, 452, 605?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 260*h**2 - 6163. Let c(q) = -2*q. What is a(c(l))?\nAnswer: -1040*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a**5 + 27*a**4 - 19*a**4 - 4*a**5 - 8*a**2 + 4*a = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 14*r**2 + 11*r - 106. Calculate q(-12).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620)*2*1)\/(sqrt(4) + (sqrt(324)*-2 - sqrt(324)) - sqrt(324)))**2.\nAnswer: 324\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*b**3*l**5 - b**3*l**2 + b**2*l**2 - 13*b**2*l - 1447*l**6 - 3669*l**2 wrt l?\nAnswer: -1740*b**3*l**2 - 173640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156*i**4 - 100*i wrt i.\nAnswer: 1872*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-443 - -430 - (18 - 1)) + -1 + 4.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1439, -8964, -29407, -69230, -134895, -232864, -369599, -551562?\nAnswer: -785215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*r + 283 + 39. Solve 37*b + 67 = -r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229 + 7*m - 229)*(-110*m**3 - 3059 + 3059) - 2*m**4 + m**4 + 2*m**4.\nAnswer: -769*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 0*p**5 + 4 + 1\/3*p**6 - 5\/3*p**3 + 0*p**2 + 0*p + 0*p**4. Find the third derivative of y(a) wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -26*d - 4. Let j be p(-2). Suppose 0 = -y - 3*y + j. Let v(l) = -l**2 + 6. Let u be v(0). What is the highest common factor of u and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3))\/(1\/147). Let s = -48 - o. Solve -s = 2*i + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1092 + 1095. Put -4, 0, i, -108 in ascending order.\nAnswer: -108, -4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 18. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n - 20 = 0. Suppose -z + 5*f = -n, -f = 4*f. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -200, -154, -88?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m - 294. Let w(n) = 39*n**2. Determine p(w(s)).\nAnswer: 156*s**2 - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 0*l + 67\/3*l**3 - 100 + 0*l**4 + 0*l**2 + 0*l**5 - 83\/6*l**6. Find the third derivative of c(h) wrt h.\nAnswer: -4980*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 24471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4824 = -6054*t + 6121*t for t.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8437 = -5*v + 47717, 6 = 3*c. Suppose 1110 - v = 4*j. Round j to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 - 96.9. Which is the second biggest value? (a) -3 (b) 0.7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/3 of a century in months?\nAnswer: 24400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3685)\/(-880)*(-1 - 0) and 47\/1084.\nAnswer: 4336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177277483 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 73 = -12*r. Let s = r - 14. Sort s, 2, 4, 3 in ascending order.\nAnswer: s, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u. Let j = -111 + 110. Calculate p(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 + 123. Let o(m) = 10 - 34 + 21 + a*m. Determine o(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 630 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 + 1\/2*s**3 - 1\/2*s - 1\/2*s**2.\nAnswer: (s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21109, 42219, 63329, 84439?\n\"Answer: 21110*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, 1, 3, -1, 9537 in ascending order.\nAnswer: -164, -1, 1, 3, 9537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 - u**2 - u - 5. Let y be o(2). Suppose -y = -4*v + 3. What is the smallest common multiple of 3 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**4)\/y*y**2\/y*y**(-3)\/(y*y\/((y*y*y**(-1))\/y)) assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 501 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*j - 30, -2*j + 3*j = -3*a - 17. Let t = j + 17. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.075 - -8.125. Let s = -10 + q. Let z = s - 0.2. Which is the nearest to z? (a) 5 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*n + 1335, -5*i + 0*n + 2285 = 5*n. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4497, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 157 = 2*h, -3*j - 10*j = -82*h - 16*j + 427 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.017, 12\/23, -1?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 minus 251886.754035?\nAnswer: -251886.814035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -8 (b) 22 (c) -1\/11 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -84?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15024 - 15012. Calculate the highest common factor of 20220 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*d - 1 = 10, 88 = -19*r + 4*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 60 + 650*z**2 - 648*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*n = -0*p + 9, -5*p = -n + 19. Let x be 3*p\/4 + -2. Let m(t) be the third derivative of -t**5\/60 - t**4\/6 + t**3\/2 + 3*t**2. Give m(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/11 + 27208*q\/11 + 5704566\/11 = 0. Calculate q.\nAnswer: -13391, -213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28572 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 20830860500 to the nearest 1000000.\nAnswer: 20831000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 450 + -212. What are the prime factors of t?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57249645 is divided by 1178.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.7 and 0.432735144587?\nAnswer: 9.267264855413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 l when four letters picked without replacement from {o: 6, g: 1, l: 2, t: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 - -73. Let t = m - -98. Let k = 7 + -3. Sort -5, t, k.\nAnswer: -5, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3\/3 - 487930*d**2 + 44638581000*d + 334798506250\/3 = 0. Calculate d.\nAnswer: -5\/2, 182975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 35. Suppose x = -3*s - 2*s. Let f be (-4)\/8*1*-8. Put -6, f, s in decreasing order.\nAnswer: f, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1094, 1, -1.\nAnswer: -1094, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/55, -3\/5, 1, -2\/13 in increasing order.\nAnswer: -3\/5, -2\/13, 3\/55, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/49, 8, -1\/3, 0.1 in descending order.\nAnswer: 8, 0.1, 2\/49, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14464 by 226.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - 29. Let t = h - -345\/8. What is the closest to -1\/5 in t, -2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13889107337 - 86.\nAnswer: 13889107251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 3*y**2 - 1. Let j be a(2). Let r(v) = 285*v**2 - 2*v - 1. Let z be r(j). Suppose 21358 = -2*l + z. What is l rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183 + 824. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-8))\/((-35)\/(-40)). Let r = 0.05878 - -0.12122. What is the third biggest value in r, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1.2. Let y = -5720\/43 + 133. Let u = y + -124\/215. Which is the closest to 0? (a) 4 (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53012363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = 0, -4*x = 3*u - 42 - 20. Suppose -b + 0 = -x. What is the remainder when b is divided by (4\/(-2)*-3)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*a - 10088 = 0, -3*d + 2*a - 33390 = -3098. Round d to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4081654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 20 = n - 0, 2*x - 9 = -5*n. Suppose x*w - 15 = 6*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173598.289 rounded to the nearest one thousand?\nAnswer: -174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 1644.4\nAnswer: -32.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 32 = -4*q - 8, -3*q = -3*b + 51. Suppose -n + 5*f = -7, 0 = 3*n + f + f - 4. What is the remainder when b is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*k - k**4 + 3*k**4 - k**2 - 39*k + 2*k**3 in the form b + f*k**4 + n*k**2 + d*k + u*k**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 903 + -903.000957. Round v to five decimal places.\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.1 or -1417\/43?\nAnswer: -1417\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2 + 66*n - 860 = 0.\nAnswer: -43, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2669 + 2666. Sort 1, 66, a, 6, -2 in descending order.\nAnswer: 66, 6, 1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7472 and 137072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -242, -1, 3, -5 in increasing order.\nAnswer: -242, -5, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31783 is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 421 + -212. Suppose -f + 809 = 6*n. Calculate the remainder when n is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n + 6. Give t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170806 is divided by 1501.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*d - 2*u, -21 - 11 = 5*d + u. Is (-1342)\/(-6) - ((-16)\/d + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*t + 4*t = 18, -3*t = 2*j - 19. Suppose -1 = -x + k, -2 = j*x - 0*k + 2*k. Put x, -3, 5 in descending order.\nAnswer: 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsddzsldddlrzp. Give prob of picking 1 s and 2 r.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h + 3*h = 335298. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - t = -2350, -2*z + 817 = -4*t - 773. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262.3121 rounded to the nearest integer?\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -450.5865 from 0.02.\nAnswer: 450.6065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + x - 13, 43437*x - 43488*x + 498 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-62)\/(-42) - 1)*(8 - -1) and (-14842)\/13325 - 4\/(-26).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6183348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:10 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -47 - (-66 - (-3 - 6) - (1 - 0)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 12*l**2 - 20*l - 10. What is the tens digit of n(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llu when three letters picked without replacement from ullllulll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191280431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10241323 (base 5) to base 3\nAnswer: 11102110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*q + 33 + 267 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46657573 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Suppose -9 = v - 2*r + 3*r, -j*v - 3*r = 16. Suppose 2*l + 2*l - 16 = 0. Let o(n) = -2*n + 6. Let d(m) = -5*m + 17. Determine l*d(w) + v*o(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000058364 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2 - 13*t + 5. Let o be i(-9). Let x = o - -166. Let p = 33 + 12. Calculate the highest common divisor of p and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -0.03, 2\/17, 0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 2. Let x(j) = -j**2 + 7*j - 8. What is the remainder when x(4) is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 + 10*v - 4. Let d(f) = 7*f**2 - 19*f + 8. Let n(g) = 2*d(g) + 5*l(g). Let c be n(12). Sort -13, c, -3.\nAnswer: -13, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84157989841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 398646071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 7*r + 5. Let m be z(7). Suppose -m*p - 55 = -10*p. What is the remainder when 63\/2 + 1\/2 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000998100171 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 11:01 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289213098 by 15221742.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11618, -649, 5, -1.\nAnswer: -11618, -649, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -o - 3*a, -2*o - 53 = -a - 66. Solve -5*z + w + 19 = o*w, -5*z = w - 23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*j**2 + 2916*j - 224.\nAnswer: -4*(j - 56)*(13*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 2.7. Let b = -1.47 + 1.49. What is the second smallest value in h, -2\/7, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -682*m - 3379. Give o(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 255438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x + 2 = 0. Let y = 293604\/7 - 41733. Let f = y + -211. Which is smaller: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**3 + 5*m**2 + 5. Let s(b) = -5*b**3 - 3*b**2 + 3 - 1 - 5. Calculate 3*c(u) + 5*s(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9296 divided by 7?\nAnswer: -1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) -4 (c) -1200 (d) 20\/13 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*w + 8. Let a = 19 + -42. Let p = -29 - a. Which is bigger: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6. Let g = s - 1. Sort -0.2, g, -1 in increasing order.\nAnswer: g, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q. What is the closest to -0.1 in -1, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*w + 6*w + 6*w)*(3 - 2 - 2 + 0 + 2 - 3 - 1 + 0 + 3 + (0 + 1 - 2)*(-1 - 1 + 0) + 1 + 1 + 0) to the form x*w + t and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 - 1158587583 + 1158587583.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 + 2)*9\/(-6). Let q(j) = 4*j + 2 - n + j. Let g be q(5). Calculate the highest common factor of 198 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/872246 and -27\/1186?\nAnswer: 517241878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2907.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*t**4 - 432*t**3*z + 6*z - 68 with respect to t.\nAnswer: -68*t**3 - 1296*t**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -l + 30, 0 = -5*l - o - 43 + 177. Solve -23 + l = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 12:19 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 49*k**2. Give p(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1271295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y - 3*y - y)*(3 - 3 - 3) + 3*y - 3*y + 2*y + (y - 3*y + y)*(1 + 1 - 4) + y + 3*y - 2*y - y - 3*y + 2*y in the form d*y + i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9940 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3*(-16)\/18)\/2. Let o = -63.02 + 0.02. Let w = o + 63.2. Which is the nearest to 9? (a) v (b) -5\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211300032 (base 4) to base 14.\nAnswer: -abc62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b. Suppose y = 5*a + 19, -y = -6*y - a + 17. Suppose -3*c = -u + y*u - 39, 12 = -3*u. Let k(l) = -c*l - 16*l + 27*l. Determine d(k(x)).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*k - 2873 + 2873)*(24*k**3 + 22*k**3 - 21*k**3 + (1 - 1 + k**3)*(0 + 0 + 1)).\nAnswer: -1586*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*i + 12, d + 4*i = 3*d + 12. What is the least common multiple of 18 and (22 - -3)\/(-5) + (16 - d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -o - 6. Suppose c = -8 - o. What is the common denominator of (-4)\/18 + (-895)\/(-18) and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 3. Let v(c) = c**3 + 5*c**2 + 2*c - 3. Let u be v(-4). Let x = 2 + 10. What is the remainder when d(u) is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1 - 4 - 1870*u + 1895*u. Let v be r(-5). Let a = -124 - v. Solve 6 + 14 = -a*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22708100 by -2270810.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*r - 476*r + 886*r - 67*r.\nAnswer: -78*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 2\/3*x**3 + 0 + 13\/24*x**4 + 0*x + 16*x**2. What is the first derivative of n(h) wrt h?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.29 and 1252519.9.\nAnswer: 1252523.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 + -357666825.\nAnswer: -357666825.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/108*12)\/(((-44)\/264)\/((-1)\/2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k + 7. Suppose -17 + 37 = 4*y. Let u(r) = -7*r + 13. Determine y*i(l) - 3*u(l).\nAnswer: l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -511.8 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1544 (base 10) in base 5?\nAnswer: -22134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + x = 0, -x - 32 = -5*b + 3*x + 29 - 66 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434643?\nAnswer: 3, 11, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(320) - sqrt(320)) + 1*sqrt(320)*-1)\/((sqrt(10) - 1*sqrt(360)) + sqrt(810) + sqrt(810)*-2) + 3.\nAnswer: 6*sqrt(2)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1806?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 5:14 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/(-7)*-2)\/3)\/(((-2176)\/(-11322))\/(-32))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 13, 1, 0.2, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/3)\/((s*s**10)\/s)*(s\/s**7)**(2\/101) assuming s is positive.\nAnswer: s**(-2561\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)\/(g\/((g\/g**(-1))\/g)))\/(g**1)**1)\/(((g\/(g\/(g*(g**(-3\/5)*g*g)\/g)))\/g)\/(g*g**3)*(g\/(g*g\/g**0))**0) assuming g is positive.\nAnswer: g**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-49*k + 56*k + 111*k)*(4 + 1 - 4) + 9*k - 6*k + 10*k)*(4 - 4 - 3*k**2 + 2 + 3*k) to the form f*k**3 + q + c*k**2 + n*k and give n.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2682*x**4\/13 + 67048*x**3\/13 + 573998*x**2\/13 + 858668*x\/13 + 640\/13 = 0.\nAnswer: -5, -2, -1\/1341, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317757482 divided by 5362.\nAnswer: -59261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*d - 14*d. Let j(q) be the third derivative of 1\/120*q**6 + 0*q - 8*q**2 + 0*q**5 + d*q**3 + 0 - 1\/24*q**4. Determine j(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4566 - -4?\nAnswer: 4603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:13 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.473 + -1.473. Let u = 3 - 3. Let c be (u + 1\/(-2))\/1. Is c smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -32?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((4 + 2*sqrt(405))*-6)**2 - (3*(sqrt(405) + 2)*6)**2)*-4.\nAnswer: 25920*sqrt(5) + 294482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 794394 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-9) + (-420)\/(-54). Suppose 4*z = -0*z + g. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 10. Let r be -3*(14\/6 - 2). Let w = r - y. Solve -16 = w*g, 0 = 6*k - 3*k - g - 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 311*x**2 - 2609*x + 5*x**3 - 3*x**3 + 2611*x - 3 as u*x**2 + i*x**3 + r*x + d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(1\/2))\/d)\/(d**(-2\/25)\/d*d))\/(d\/(d*d**1))**44 assuming d is positive.\nAnswer: d**(2179\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 797539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 + 3166854*a - 12667464 = 0.\nAnswer: -1055622, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/(m*m**(2\/11)))**(-1\/27) assuming m is positive.\nAnswer: m**(-53\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1075 + -2134. Let c = -1057 - r. Factor 0 - 3\/7*d + 4\/7*d**c - 1\/7*d**3.\nAnswer: -d*(d - 3)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/((-138)\/(-32)*(-1 - 1))?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 195\/260 - 1\/((-8)\/5001442) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whhwwllzllw. Give prob of picking 1 z, 2 l, and 1 w.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 + -85. Suppose -1 = -2*k + 7. Solve d*i = i - k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13\/5 (b) -8 (c) -0.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 152, 0.582, -3\/5 in increasing order.\nAnswer: -3\/5, 0.582, 10, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*k + 19, -5 = 5*c - 2*k + 6*k. Differentiate -34 - 34 + 12*o**c + 13*o**3 with respect to o.\nAnswer: 75*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 + 29. Does 34 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**2 - 18*b + 6*b - 4 - 3*b**2 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*q + 81*q = -713*q + 197*q - 72326 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 13 - (1 - 4 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4*b = -52, 19659*u + 4*b + 70 = 19661*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - k = 7, -4*t + 833*k - 853*k - 104 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q. Let x(j) be the second derivative of j**3\/6 + 19*j**2\/2 - 557*j. Calculate p(x(l)).\nAnswer: -3*l - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 990*y**3 + 43*y + 101418 wrt y.\nAnswer: 2970*y**2 + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*n + 47242 = -2408. Suppose 5*k + 306 = -2*l, -3*l + l + 4*k - 288 = 0. Let f = n - l. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-4 + 10 - (0 + 2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002265 to 7 dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3 = -9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7484176 is divided by 229.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-54)*14\/4?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(847)*-3.\nAnswer: -33*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -793 (base 16) to base 13\nAnswer: -b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/11)*h\/((h**(-9\/8)\/h)\/h))\/(h**(-1\/2)\/(h*h**(-9)*h)) assuming h is positive.\nAnswer: h**(-161\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431, 495, 191, -487, -1545, -2989?\nAnswer: -4825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*z. Suppose -2*v + 8 = -2*o, 4*o - 1 - 19 = 0. Which is smaller: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 + 0 = -3*a, y - 3*a + 1 = 0. Let s be 144\/90*2\/y. What is b in 0*b**3 + 2\/5*b**5 - 4\/5*b**4 - s*b + 0 + 4\/5*b**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 25*c + 33. Let j be r(-11). Let -3\/2*a**4 - 3\/2*a + 3\/2*a**3 + 3\/2*a**2 + j = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33833\/5 - -6832. What is r in -147\/5*r**4 - g*r**2 - 378\/5*r**3 - 108\/5*r - 12\/5 = 0?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1144 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339847733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/5 + 364*n**4 - 10947*n**3\/5 + 16434*n**2\/5 = 0.\nAnswer: -1826, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1 + 4*o + 3*o + 8*o**2 - 6*o. What is i(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -11. Let v = 3 - y. Suppose v = -2*i + 8. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30312030 (base 4) in base 11?\nAnswer: -36597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1579e (base 16) to base 15.\nAnswer: 1b0e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32524332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2847 divided by 949\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*k + 165570 - 170538 = 0 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/8)\/(10\/(-35)*-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3b9c7 (base 13) to base 4\nAnswer: -123032232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 3*v + 1. Let q be u(-2). Let d = 0.34 + -0.04. Let t = 18 + -73\/4. Which is the closest to d? (a) -0.3 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -77.8. Let m = 10 - t. Let v = 3.1 - 3. Which is the nearest to v? (a) -2 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522 + 1692*y**2 + 4597*y**2 - 522.\nAnswer: 6289*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.05 - 0.05. Let n = h + -0.996. What is n rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/11950 and -123\/4780?\nAnswer: 23900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1059 and 4913 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/20 and 61\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -119052 times 15\nAnswer: -1785780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12354\/(-10))\/((-1224)\/4080). What is the greatest common factor of 58 and g?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-15) + 24\/10. Let u(r) be the third derivative of -r**4\/4 + 29*r**3\/3 + 6*r**2. Let p be u(9). Sort p, 0, v in ascending order.\nAnswer: 0, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57456632 and 3352?\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 10*k + 2. Let i be f(9). Let u = 33 + i. Calculate the greatest common divisor of 260 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20752834.\nAnswer: 2, 163, 63659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -410*p + 90. Let w be o(-2). Suppose -90*v - w = -76*v. Is v at most -255\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3233, -10, -2 in decreasing order.\nAnswer: -2, -10, -3233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -10. What is the second derivative of 7*g**y - 4*g**3 - 4*g**3 + 10*g + 5*g**3 wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4037eb + 8?\nAnswer: 4037f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2 - 5 - k**2 - 3 - 3 with respect to k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -439676 to the nearest one thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -x + 31, 6*x - 5*h - 90 = 2*x. Let a = 44 - 26. Let z = x + a. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from wbxbbbbwbww?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 3*p + 27. Let u(n) = -6992*n**2 - 8290*n - 53. Let z(c) = -u(c) - 2*v(c). Find the second derivative of z(f) wrt f.\nAnswer: 13980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 439, 673, 917, 1171, 1435?\nAnswer: 1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 15 (c) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1614552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4188.8205 microseconds to days.\nAnswer: 0.00000004848171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 716575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 5*u - 4. Let y be r(4). Suppose 0*s + y = 2*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -142029, -144855, -149565, -156159, -164637, -174999?\n\"Answer: -942*y**2 - 141087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 235*i**3 + 8*i**2 - 8*i. Suppose 0 = -0*m + 2*m - 12. Let k be x(m). What is k rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 + 3*b**2 - b**2 + (4*b - 2*b + 0*b)*(1 - 1 - 2*b) + 3*b**2 + 0*b**2 - b**2 - 4*b**2 + b**2 + 4*b**2 - 19 - 15*b**2 - 19 + 36.\nAnswer: -18*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, p: 7}. Give prob of sequence bbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/585 or -1?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -112016 less than -609?\nAnswer: 111407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -443*s**3*x**4 - 400*s**3*x wrt x?\nAnswer: -5316*s**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -13*u**3\/6 - u**2\/2 + 7*u + 8. Let w(q) = q. Determine r(w(b)).\nAnswer: -13*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*x + 82*x + 40. Solve 0 = -2*t - 0*t - x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 6. Let k be y(-5). Calculate the remainder when 35 is divided by (k - -1)\/1 + 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 100143 (base 5) to base 12\nAnswer: 1a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 6567 = 51609. Let r = u + -3094. What is r rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132869634 a multiple of 4391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267045693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 8:12 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 48 - (-189 + 190).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -26 - 16. Factor -4\/9*b**s + 0*b**2 + 4\/9*b - 2\/9*b**4 + 2\/9.\nAnswer: -2*(b - 1)*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258264871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -52*h + 1059. Determine t(20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + -9421?\nAnswer: -9409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 27*z**2 + 716*z - 726. What is h(-28)?\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692294 is divided by 2198?\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2\/13 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 14. Let p be v(6). Let d be 3*((-168)\/9 - 1). What are the prime factors of 0*(-4)\/p - d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - 206. Let k be (-2)\/12 + (-558)\/n. What are the prime factors of 362\/2*k\/(-25)*-5?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-375)\/126 + 4\/14 and (1122\/360)\/((-355)\/(-1278) - (-4)\/18).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101223331000 (base 4) to base 13.\nAnswer: -c644a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 119\/(-17) - (2 + -4249). Suppose -7*q + 27*q = w. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5 - 1876*d**4 - 466704*d**3 - 12359456*d**2 + 1866848*d + 49467840 = 0.\nAnswer: -454, -30, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -16. What is the remainder when (-518)\/(-12) + (-1)\/6 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggu when three letters picked without replacement from uguuguuuuu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 5 + 11. Let h(f) = f**3 + f - 5. Let v(w) = -19*w**3 - 4*w**2 + 6*w - 223. Let p(a) = i*v(a) - 6*h(a). What is the derivative of p(k) wrt k?\nAnswer: -75*k**2 - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 5:20 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41144*x + 20514*x + 20632*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300333 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 0.5 (c) -2 (d) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccq when three letters picked without replacement from {q: 1, e: 1, j: 6, c: 4, u: 3, r: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -511*d - 1321. Is w(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - -2*sqrt(85)*4 - sqrt(85))\/(sqrt(500)*1) + 1.\nAnswer: 1 + 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208840 divided by 1.\nAnswer: -208840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 122912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p**3 - 8*p**2 + 59*p - 285. Let f(c) = 6*c**3 + 4*c**2 - 58*c + 284. Let o(k) = -5*f(k) - 4*j(k). Factor o(q).\nAnswer: -2*(q - 7)*(q - 4)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-104)*-1*(-4)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*b**4 - 5*b**4 + b**4)*(-4 - 2 + 5) + (-4*b - 20 + 20)*(b**3 + 2*b**3 - b**3).\nAnswer: -23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98 - 44 + 18)*((-2*r + r + 2*r)*(-5 + 4 + 0) + 3*r - 3*r - 2*r) to q + h*r and give h.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -0.2. Which is the closest to 2? (a) 5 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.86 (b) 2\/11 (c) -2027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ggpptapgvvvwtptvptaa.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 116568761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 133*r - 138*r + 40, 29 = -3*r - 8*f + 10 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 201, -0.4, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, q: 5, a: 8, o: 1, l: 3}. What is prob of sequence aqo?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 1608\/14070*(-20783)\/(-66).\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 1\/4107 (b) -1 (c) 246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d - 1683 = 3141. Let m = 198 + d. Which is smaller: m or 83?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 9*z**2 + 6*z + 5. Let s be b(-8). Let n = 392 - 406. Let d = n + s. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137 + -270. Let p be (-20)\/(-10) + -1 + x + -2. Let d = p - -253. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w - 5*w - 1056 + 1413 - 198.\nAnswer: 7*w + 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3*b + 12. Suppose -76 = -b*n + 6*f - f, 5*f - 22 = -3*n. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 677235 and 1232915?\nAnswer: 48083685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*v - 24 = 6*v, 0 = -v. Let b(q) = q**2 - s*q + 5*q + 10 + 9 + 14. List the prime factors of b(0).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-247) + 2\/182?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**3 - 95*c**2 - 312*c?\nAnswer: 18*c - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6035951 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9246291?\nAnswer: 3, 263, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847712 to the power of 1\/2, to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6756426 is divided by 1276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56762624 to the power of 1\/2, to the nearest integer?\nAnswer: 7534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14950.706 rounded to 0 decimal places?\nAnswer: 14951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + (14 + -22 + 16 - (-3 - 0)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 1:51 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -2179.\nAnswer: 43.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -112. Let t be y\/6 - (-8)\/12. Let b(n) = n**3 + 6*n**2 - 9*n - 4. Is b(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/5 - 4*i**3\/5 + 3*i**2\/5 + 4*i\/5 - 4\/5.\nAnswer: (i - 2)**2*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*6\/32*160\/15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 3*f + 168. Determine z(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:26 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/10*(-8)\/(-4)*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -48. Let i = u - -12. Let g be 0 + i - (0 - (3 + -3)). What is the smallest value in -0.4, -0.07, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2253 + 2251, -3*i - 2*s - 14 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 584184077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 319000 and 85250?\nAnswer: 9889000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -40.03. Let y = i + -0.67. Which is the closest to 0.2? (a) -1 (b) y (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160460 (base 8) to base 11\nAnswer: 3a348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115920 by 644.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4337099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5700)*2*-4*1)\/(-1*3*(sqrt(432)*-1 - sqrt(432))))**2.\nAnswer: 1900\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s + 52. Let d(l) = l - 1. Give 8*d(k) + w(k).\nAnswer: 2*k + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -1.72?\nAnswer: -5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 0)*83 - 2\/1. Let w = b - 503\/2. Put -5, 1, w, 2 in increasing order.\nAnswer: -5, w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 68*z**2 + 416*z.\nAnswer: 2*z*(z - 26)*(z - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 2*h**2 - 3*h. Let k = 8 - 1. Suppose 0 = -3*s + 2*g, -k*g + 3*g = -4*s. Suppose -3*i + 9 + 0 = s. What is p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 8*j - 2. Let l be r(8). Let a be l + -5*4\/(-10). Let t(c) = -c + 2. Calculate t(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 212938351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506 = -7*r + 1062. Suppose -3*o = 5*o - r. Solve -2*j + 9 = -2*b + 3, -4*b + o = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16132\/1797 >= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-81)\/(-2) + (-4)\/8. Let i be (-3*x\/3)\/(-1). Suppose -3*r = 2*o - 25, -3*r + i = -2*o + 7*o. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a day?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 4. Let w = 2 + s. Let x(j) = -j - 2. Let b be x(w). Which is greater: -2\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04 and 477.2087763?\nAnswer: 477.1687763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(4320)*1 + sqrt(4320))\/(sqrt(96)*3 + sqrt(96))*5.\nAnswer: -75*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 656862*n + 4598181.\nAnswer: -3*(n - 218961)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3*x - 6 = -c, x + 5*c - 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-14)*o)\/(o*o*o**9))**(-14) assuming o is positive.\nAnswer: o**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 9. Let l(p) = 10*p - 7*p - 4*p - 13*p - 3. What is the hundreds digit of l(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 18 = -6*j. What are the prime factors of ((-600)\/j)\/(15\/45)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 385.8 and 323.\nAnswer: 708.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p**2 - 137532*p - 145584 = 0.\nAnswer: -4044, -18\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 12:54 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 424*r - 371*r - 64*r + 2.\nAnswer: -11*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*a - 134, -2*a = 2*s - 5*a - 91. Suppose 2*m = -5*w + s, 0 = -0*m + 3*m + 2*w - 35. What is the least common multiple of m and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1308 by 1112.\nAnswer: 327\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62219, -236719, -527553, -934721, -1458223, -2098059, -2854229?\nAnswer: -3726733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 3*j**3 + 7*j + 4 - 7*j to the form y*j**2 + n*j + b + t*j**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/y)\/(y*y\/((y\/((y**(-3\/7)*y*y*y)\/y))\/y))*y**(-2)\/(y*y**1)*(y**(2\/3)\/y**(-1))**(-9\/5) assuming y is positive.\nAnswer: y**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75491\/3640 + -10 - 11 and (-3)\/(-40)*(-225)\/6.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 126 - 15986*n**2 + 170 + 15654*n**2 wrt n?\nAnswer: -664*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = -5*k, 35*i = 2*k + 39*i - 12. Solve -2*x = -l - k*l + 15, -5*l + 2*x + 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624 at least as big as 2625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -819ab1 (base 13) to base 8.\nAnswer: -13413340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 = -16. Solve l - 1 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1116, -2377, -3926, -5907, -8464, -11741, -15882?\nAnswer: -21031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5 = -0*y, 3*i - y - 2 = 0. Factor -i + 1\/2*g**2 - 1\/2*g.\nAnswer: (g - 2)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a minute in seconds?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -310?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 546 + -466. What is the second biggest value in 3, 0.06, 0.1, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07479218 to four dps.\nAnswer: 0.0748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685382.\nAnswer: 2, 342691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 17 (b) 1 (c) -2\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*h - 20. Let t = h + -8. Let k(f) = 5*f - 2. Let c be k(t). Calculate the highest common divisor of c and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 98 = -9*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 267812619 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w - t + 36391, -w + 36367 = -23*t. What are the prime factors of w?\nAnswer: 2, 3, 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-21)\/(-18) + 119\/42. Suppose -4*p = -y*l + 1520, 769 = l - 0*l - 5*p. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-24)\/(-15))\/(-8))\/1. Which is the third smallest value? (a) o (b) 5 (c) 21 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/35*(-301)\/(-258).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 29 - 2*i - 6 - 5 - 1. Let b(k) = 3*k**2. Give u(b(f)).\nAnswer: -6*f**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1068 and 16.\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -41*c**3 - 8*c**2 + 5*c - 8. Let p be ((-10)\/(-6))\/(140\/252). Let w(a) = -14*a**3 - 3*a**2 + 2*a - 3. Give p*z(j) - 8*w(j).\nAnswer: -11*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 4*v + 112. Calculate the least common multiple of 265 and 68\/14 + (-10)\/v.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-44)*-4*(131 - -111). Suppose 4*b + n + 2*n = 704, 2*n = -4*b + 704. Calculate the greatest common divisor of b and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (260\/8 - -5)*(6 + 0). Is y > 225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1076 divide 10705172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12934.\nAnswer: 2, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t = -13*t + 1372. Let z = t - -413. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -187 - -182.2. Let j = 4.6 + u. What is the third biggest value in -0.3, j, -2\/5, 113?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668841 - 0.0587869?\nAnswer: 668840.9412131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307.\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -9140 + 18917*j**3 - 89*j**4 + 72767*j**3 + 96*j**4 - 48105*j**2 - 54860*j + 20176*j**3 + 238*j**4 = 0?\nAnswer: -457, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 209998 from -62.\nAnswer: -210060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 4:19 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 9*h**2 + 17*h - 13. Give f(8).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3850512 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 350 and 1982050.\nAnswer: 1982050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 f when three letters picked without replacement from sxinknfs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8.1. Let l = 8.78 - 9. Let g = 1.22 + l. Which is the second smallest value? (a) f (b) g (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1566 (base 7) to base 14\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/42)\/((-11)\/(154\/12))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2. Let v(y) = -301*y**2 + 2*y + 549. Determine v(o(p)).\nAnswer: -7525*p**4 + 10*p**2 + 549","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -1\/36, 4\/5, -1, -3\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9314026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 24*d + 22. Determine j(-8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 717 + -240. Calculate the remainder when w is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*n + 2*l - 6, -2*n - l + 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/3 or -77\/2?\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*r - 2*y, -2*r + y = -2*y - 22. Let z(a) = -7*a + 12. What is z(r)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025447 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.015 - 0.015. What is the biggest value in m, -2\/7, -4\/7, 3\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(1\/2))\/z)\/z)\/z)\/(z\/(z*z*z\/z**15*z)) assuming z is positive.\nAnswer: z**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8154895 is divided by 369.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 129.\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + v + v)*(8 - 8 + v**2) - 4*v**3 + 2*v**3 + v**3 as u + r*v + m*v**2 + j*v**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/7)*m\/(m**(-3\/34)\/m)*m)\/((m\/m**(-15)*m)\/m**(1\/18)))**(2\/19) assuming m is positive.\nAnswer: m**(-28762\/20349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 20. Suppose l*d - 8*d = 0. Suppose k - 21 + 5 = d. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 24. What are the prime factors of s(-10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75667\/35608*(-8)\/(-221)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 4*t, 3*q = 2*t + 628. Calculate the least common multiple of 22 and q.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 142189*c**2 + 13*c + 8. Let x = -22 + 14. Let r be q(x). Round r to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-20))\/((-46)\/230).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146\/3 - 48. Which is the second biggest value? (a) 4 (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 3 - 2)*((3*m - 2*m - 4*m)*(2*m**3 + 3*m**3 - 4*m**3) - m**4 + 0*m + 0*m).\nAnswer: -60*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43786 <= 43783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 964 a factor of 1753956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/270*-12)\/(10\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + z = -22, -49*z = -2*i - 44*z - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2981, 2998, 3015, 3032, 3049?\nAnswer: 3066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 52*a**3 - 460*a**2 - 1184*a - 960.\nAnswer: (a - 60)*(a + 2)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.936 - -2.536. What is the nearest to 8 in h, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200522*m**3*r**4 + 7*m**3*r - 28980512*m**3 - m with respect to r.\nAnswer: 802088*m**3*r**3 + 7*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 + 106*b**2 - 37*b - 14. What is m(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - -2012?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9562600147256.00577 - 9562510420720. Let l = a + -89727850. Let t = -1314 - l. Round t to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l**2 - 12*l**2 + 59*l**2 - 15*l**2 - 20*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -2\/11 (c) -0.166 (d) -2\/13 (e) -1\/4 (f) 2\/173\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - v + 70. Let w be p(-6). Differentiate -17 - 30*x**4 + 2*x**2 + 78*x**4 - 2*x**2 + 129*x**w with respect to x.\nAnswer: 708*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 4*z + z. Let n = -4 + 7. Let v(b) = -n*b**2 + b**2 + b**2. What is v(k(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(204\/(-8) - 2). Suppose -46*g - 1170 = -q*g. Calculate the highest common factor of 26 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -534 - -532.8. Which is the biggest value? (a) l (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 16 - 4*d - d + 8*d. Let b be g(-16). Solve 0 = a - 4*t + 9, b = -4*t + 7*t - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*p + 290 = 0, 4*y - 232 = -2*p - 2*p. Suppose 3*x - y - 8 = 0. Let o = 94 - -16. What is the highest common divisor of o and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11155422 - 13?\nAnswer: -11155435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12702407023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 5186?\nAnswer: -5185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(171))**2 + (sqrt(19) - (sqrt(76) - sqrt(19))*-4).\nAnswer: 5*sqrt(19) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 3*q**6\/2 + 6*q**5\/5 - 9*q**4\/2 - 4*q**3 + 9*q**2\/2 + 6*q + 33. Solve u(p) = 0 for p.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 751 divide 12812811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -19, -267.\nAnswer: -267, -19, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*w**2 - 364845*w**3 + 79*w**2.\nAnswer: -364845*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -9. Let p(u) = 5*u**2 + 4*u - 2. Let d be p(4). What are the prime factors of d\/8 + h\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -1325.15499789.\nAnswer: -1324.75499789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 12*n + 785. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + sqrt(5) + (sqrt(5) - (sqrt(5) - (sqrt(25)\/(sqrt(5)*-1) - sqrt(5)))**2).\nAnswer: -40 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 85 - 0. Suppose -4*d - 4*m + m + 27 = 0, 2*d + 5*m - 3 = 0. What is the remainder when g is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28555229955453184*g**2\/3 - 337965856*g - 3.\nAnswer: -(168982928*g + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 103*g + 16. Let k = -44 + 51. Let f be i(k). Suppose 5*q + 375 = 2*t, 4*t + 3*q + 0*q = f. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194090?\nAnswer: 2, 5, 13, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58267 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37389006713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 883464 + -884089.389. Let z = y + 626. What is z rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -4*g + 51 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 485 + -482. Let k be 18*((-10)\/3)\/(-2). Let z(o) = d*o**2 - k*o**2 + 4*o**2. Let n(y) = -2*y**2. Give n(z(r)).\nAnswer: -1058*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 3. Let r(j) = 3*j - 1. Let g be r(-1). Let t be h(g). Let o be (t\/(-9))\/(2\/6). Which is the nearest to o? (a) 5 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-6)*(-2)\/(-3). Let v = -0.4 - -0.1. What is the second biggest value in 0.1, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -47. Suppose 0*r + 2*o + 179 = 5*r, 114 = k*r + o. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*(-20)\/25. Let p = g + -6\/5. Which is the second smallest value? (a) p (b) 0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-9))\/(4 - (-196)\/(-48)). Let o = -81 - -487\/6. Sort o, d, 2\/3.\nAnswer: d, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 + 50*v**2 - 45*v + 71. Is k(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 16, v: 4}. Give prob of sequence vddd.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 6*n**2 - 8\/5*n**5 + 22*n**4 + 0*n + 0 + 148\/5*n**3 = 0?\nAnswer: -1, -1\/4, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.52 + -29. Let f = x + -0.5200057. What is f rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 8:07 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481317490, -962634983, -1443952476, -1925269969?\nAnswer: -2406587462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u - 3*u + 5*u)*(2476*u + 551*u + 26*u + 9135*u) in the form z*u**2 + l*u + r and give z.\nAnswer: -24376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 34562359.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 13*r**2 - 14*r + 15. Calculate the remainder when i(14) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -31*h**3\/4 - 77*h**2\/4 - 23*h\/2 = 0.\nAnswer: -46\/31, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k - 10. Let s(w) = 6*w + 11. Let j(b) = 4*f(b) + 3*s(b). Let x be j(-3). Let r = 0 - 45. Sort r, -5, x in ascending order.\nAnswer: r, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/5 - 2302*x**2\/5 - 20716*x + 216384\/5 = 0?\nAnswer: -1104, -49, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*l + 3. Suppose -3*a + l = -26. Solve 0*h - a = -3*h + 2*f, -5*f = -5*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27 - 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 163 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7688194583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:39 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 14*m**2 + 2*m + 44. Let q be v(14). Let r be ((-24)\/q)\/(3\/(-216) + 0). Let b = 56 - 40. Calculate the highest common divisor of r and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -7. Let p(n) = -2*n - 4. Let g(b) = b + 1. Let f(s) = 4*g(s) + p(s). Let o(j) = 4*j. What is m*o(a) + 9*f(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = p - 7 + 3, 13 = -5*p - 4*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9990 and 13176.\nAnswer: 2437560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7640 is divided by 564.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51922*r - 2386 = -51809*r + 439 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -13*c + 2. Let a be r(-4). Suppose 0 = 2*d + o - 24, 0*o = -4*d - 5*o + a. Solve 3*p - 2*g = -g - 18, 2*g - d = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -1\/10, 29 in descending order.\nAnswer: 29, 4, 0, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.39 in 86, -1\/4, 4.6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**5\/20 + 3*h**4\/4 - 2*h**3\/3 + 17*h**2\/2 - 2*h. Let m(a) = -2*a**2 + a - 4. Let w = -2 + 11. What is w*m(t) + 2*g(t)?\nAnswer: 2*t**3 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5358715 = 4*d - 5*z, 2*d - 7*d = 4*z - 6698404. Suppose -4*m = d + 1540320. What is m rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + (-20 - -24)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149614 is divided by 9974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507367315?\nAnswer: 5, 7, 13, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5695475 (b) 2\/11 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = 1501*n - 1517*n - 24 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 10:00 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 9*j = 21*j + 315 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.3, 1557?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 36\/515 (b) 4\/3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**(-17) assuming c is positive.\nAnswer: c**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20, 91, 216, 395, 628, 915?\n\"Answer: 27*o**2 - 10*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1\/10, 0.1, 0.057, -20 in increasing order.\nAnswer: -20, -1\/10, 0.057, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (87\/27)\/1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**3 + o**2. Let k be x(-1). Suppose 4*i - 6 - 2 = 0. Let c(b) = 0 - 4*b**2 - 2 + b**i + 2*b**2 - 7*b. Determine c(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10483817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -12 - (4 + -4 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1474873137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 86*x**2 - 1316*x - 247. Give h(66).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100100110110101011000 (base 2) to base 7.\nAnswer: 40042651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -105*m**2 + 280*m. Let t(h) = 2*h + 37. What is t(v(a))?\nAnswer: -210*a**2 + 560*a + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2079654356?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**6*i))\/i*i**(-3))**47 assuming i is positive.\nAnswer: i**(-423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 5. Let h be 4\/((-7)\/(28\/16)). Let n(o) = -4. Let m(k) = h*r(k) - 3*n(k). Calculate m(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.22 (b) -2\/9 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1507, -1500, -1491, -1480, -1467, -1452?\n\"Answer: n**2 + 4*n - 1512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 5*s**2 + 2*s - 4. Let x be 12\/(-1)*16\/(-64). Let w(n) = -11*n + 38. Let d be w(x). Determine t(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 17856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 11*c**4\/4 - 3*c**2 + 2. Let v(p) = 427*p**2 - 5*p - 427*p**2 + 10*p - 10*p**3. Give -5*b(h) - 6*v(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.44 + -0.06. Let z = -6 + 3. What is the second biggest value in 0.3, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182 (base 12) to base 4.\nAnswer: 3302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 3*x + 0*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-4)\/((-16)\/556). Let h = a - 34. Find the first derivative of 2*x + 19*x**2 + h - 112 - 2*x wrt x.\nAnswer: 38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5. Let t(z) = -z + 14. Calculate 11*f(d) + 4*t(d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00164753659 to six decimal places.\nAnswer: 0.001648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/2*(-8 + 7). Calculate the common denominator of 2 - (j\/70 + -3) and -39\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 - ((-4080)\/660 - (-2)\/11))\/22. What is the nearest to 1 in -2, -2\/7, -3\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 1:22 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojocee. What is prob of sequence eo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3006*l - 3002*l = 5*i - 48, -3*l + 5*i - 41 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295804421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 97 - -71522a?\nAnswer: 715316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 429\/2 - 132. Let o = x - 1151\/14. Let l = 83 - 497\/6. Is o < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 345*c**2 - c + 1939. Calculate n(0).\nAnswer: 1939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from ippgfhfhghhp?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93739002 is divided by 3212?\nAnswer: 3206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-110)\/4*(-1784)\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -148*h + 602. Let l be t(4). Put 9, 0, l in increasing order.\nAnswer: 0, 9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-5 + 3 + 0)*(-u + u + 3*u).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 60367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128963 or -128962?\nAnswer: -128962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 70 = 5*x, 14*o - 11*o + 26 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 440*b**2*s*t**2 - b**2*s*t - 25*b*s**3*t + s**3*t**2 - 4*s**3*t wrt t?\nAnswer: 880*b**2*s + 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.499 minus -3?\nAnswer: 100.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 405305459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-55))\/(18\/33). Let p be 2\/12*2*42\/(-7). What is the second smallest value in l, 1\/9, p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-3) - 2\/(-1). Let d = 0.1 + -0.04. Let t = 0.94 + d. Which is smaller: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*s + 0 + 19*s**3 - s**4 - 8*s**3 + 1 - 10*s**3 + 2*s**2 - 43*s to the form n*s**4 + f*s**2 + y + u*s + b*s**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 21 (b) -0.13635 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.04 - -0.04. Let a be ((-280)\/147)\/20 + (-1 - -1). What is the nearest to 0.01 in a, 5, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20076*i + 107704.\nAnswer: 20076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -1077957938.\nAnswer: -1077957920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - j - 9 = j, -4*j = 4*s - 24. Suppose -s*r + 5*m - 268 = 0, -7*r = -3*r - m + 380. Let g = r - -168. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-56)*16\/24)\/(36\/456).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = 4*j - 21*a + 16*a - 52, 3*a + 12 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 11*x - 4*l - 30 = 0, 0 = -3*l - 12. Suppose 7 = -4*u - x*s + 4*s, -u + s = 0. What is the closest to u in 0.21, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164 + -161)\/(((-35)\/15)\/(-7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -21*f**3 - 2937739722*f**2 - 102741840940044768*f + 29354811936971136 = 0.\nAnswer: -69946184, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 4)*-3*-5 - (5 + -4 + sqrt(52)\/sqrt(4))*-3.\nAnswer: 63 + 123*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5\/3 - 5*b**4 + 13*b**3\/3 + 5*b**2 - 14*b\/3 = 0.\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1078, 2136, 3194, 4252, 5310?\nAnswer: 6368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*a - 644 = -0*b, -4*a = -2*b + 432. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/(-14)*912534\/(-189) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 363979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/17, -1\/10, 24, -3, 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 85 + -77 + (4 - (-1 + 0))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234809*x**5 - 417599*x?\nAnswer: -4696180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1407 = -3*s + 5*k, -3*s - 4*k - 932 = -5*s. Calculate the remainder when 1502 is divided by s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/7))\/l**(4\/3))\/(((l\/(l\/l**6))\/l)\/(l\/(l**5*l))))\/((l**4\/l)\/(l\/(l\/(l\/(l**(-2\/11)\/l)*l))*l*l))**6 assuming l is positive.\nAnswer: l**(571\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 34\/5, -3\/118840, -3, 0 in increasing order.\nAnswer: -3, -3\/118840, 0, 34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -359 divided by 27\nAnswer: -359\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - (-7 - 25152\/56). Let w = n + -449. Let t = 0.4 + 0.6. Sort -2\/9, w, t in ascending order.\nAnswer: -2\/9, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135975409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 5 = -17. Let g be -2 - (l - -1)*194002. Round g to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572950311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.142 - -3.858. Sort -0.3, 3, o in descending order.\nAnswer: o, 3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -25*q**4 - 1985*q**3 - 2726*q**2 + 1588*q\/5 + 2184\/5 = 0.\nAnswer: -78, -7\/5, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - ((sqrt(567) + -3)*1 - sqrt(567))) + 1)**2 + -3.\nAnswer: 72*sqrt(7) + 580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-43)*t)*t*t*t*t**(1\/29)\/t)\/(t\/(t\/(t\/(t**(-2\/41)*t)))*t\/(t**(-2\/81)*t)))**(-48) assuming t is positive.\nAnswer: t**(-69282400\/32103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*l - 4*w, -20*l + 4*w + 28 = -24*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 23*s - 41. Let t be k(-25). What is the units digit of t*5*176\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 8*l - 6*l - 111, -33 = -5*q - 41*l for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597772 is divided by 640.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m - 670. Let z(v) = 5*v - 1324. Determine -9*t(c) + 4*z(c).\nAnswer: 2*c + 734","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/21*(0 + 15). Put 1\/2, f, 3 in decreasing order.\nAnswer: f, 3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, c: 4, w: 7}. What is prob of sequence cc?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 6, o: 2, i: 2}. Give prob of sequence gio.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-14)*(-2)\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 12:25 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o + h - 1 = 0, 4*h = 5*o. Suppose 0 = -2*y - 0*y. Suppose 5*i + 25 = 5*q - y*i, -3*q + i = -9. Solve -q*s = 5*j + 3 + 14, o*j + 4*s = -16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 68, 137, 228, 347, 500?\n\"Answer: t**3 + 2*t**2 + 40*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64*(-10)\/(-105) + (-2)\/21. Let j(x) = 3 - x**3 + 10*x**2 + 34*x - 65*x + w + 29*x. Calculate j(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0) + (-20)\/(-4). Let x(d) = -4*d**2 - 6*d. Let p(q) = 4*q**2 + 5*q. Give i*x(g) + 6*p(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-6)\/162*(71 + -65)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) 2 (c) -2\/5 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 104006?\nAnswer: 104012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 66 = -4*u + 93, -u - 2*i - 26 = -2*u - 5 + 2 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -982 - 2*v - 252*v**3 + 51*v - 10*v - 39*v + 2*v**2 wrt v?\nAnswer: -756*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.425 - 0.351. Let x = f + -0.074000952. What is x rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 10*c - 6*c. Let r(d) = 7*d**3 - 3*d**2 - d + 6. Let m be r(c). Calculate the highest common factor of 33 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 306, 431, 532, 603, 638, 631?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.22 + 2049.22. Let s = o + -2036.976. Let m = 0.024 - s. Is m at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 21 = -2*c, -4*c + 4 - 16 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0528 and -502514434198.\nAnswer: -502514434197.9472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 7*b**2 - b + 4. Let k = 39 - 56. Let i = k - -10. Does 6 divide m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498423960 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = -2*q, -44*q = -40*q - i + 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 806099*d. Let x(n) = -40*n**2. Calculate x(f(p)).\nAnswer: -25991823912040*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(-2*z + 3*z + 4*z + (-2*z + 0*z + 0*z)*(8 + 20 + 11)) in the form h*z + y and give h.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5805268*n**4 - 595827*n**2 - 2*n.\nAnswer: 139326432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3002*d - 977. What is the thousands digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2307657175 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/35 + l**4\/7 + 2*l**3\/7 + 2*l**2\/7 + 7*l. Factor m(w).\nAnswer: 4*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:13 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 1. Let h be l(-6). Let k(o) = -o. Let b be k(-4). Put b, h, -1 in increasing order.\nAnswer: h, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 2 (c) -563\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + (-4*(3 + (-1*sqrt(13) - sqrt(13))) - -1*(4 + -2 + sqrt(13)))) + -3)**2.\nAnswer: -3564*sqrt(13) + 38997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 2, l: 1, i: 1, g: 2, x: 2}. Give prob of sequence fl.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -37425 times 0.317?\nAnswer: -11863.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63\/316 + -4\/79. Let y = -108 - -323\/3. What is the biggest value in q, y, -1, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) - 4\/18. Let m(j) = 2*j**2 + 21*j + 6. Let p be m(-10). Which is the nearest to -0.08? (a) p (b) -2\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(5*h**3 - 3*h**3 + 0*h**3) + 3*h**3 - h**3 - 3*h**3 + 451*h + 1161*h**3 - 451*h.\nAnswer: 1158*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7) - ((-286)\/(-14))\/11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:34 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -8. Let d(a) = -2*a - 5. Let y be d(8). Let m = y + o. Solve 2*u + 5*x = -3, -m*u + 6*u - 4 = x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 15*q + 29. Let z be y(-13). Suppose 5*s = -5*w + z, 0 = 4*s + 5*w - 4 - 40. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 + 9*g)*(-g + 5 - 5) + 3*g**2 + g - g)*(0*g - 2*g + g) in the form b*g + r*g**3 + f + p*g**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 4*n**2 - 5*n + 2.\nAnswer: -(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxyd when four letters picked without replacement from ydyydxtyyddydtyy?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -913.7 and 10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 130069873043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d = -32*d - q - 25, 2*d = -5*q - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/(-22)*4\/28.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 158, -2, -17?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*w - 5. Let u(f) = -15*f - 1. Let o be u(-1). Let a = o + w. Calculate the greatest common divisor of 45 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 + 5*m**2 + 67*m**2 - 11*m**2 + 17*m**2.\nAnswer: 86*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1427*o**3 + 3866 wrt o?\nAnswer: -4281*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 525187?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-504)\/162)\/(3*4\/(-162))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 529006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -8080000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34270 by -6.\nAnswer: -17135\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -12. What is the greatest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, h: 6, o: 1}. Give prob of sequence chcc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -209*c**2*l**2 + 51*c*l - 7*l**2 wrt c?\nAnswer: -418*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/63 and 17\/105?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21\/63 - ((-128409)\/9 - -1)?\nAnswer: 11, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40105991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z + 182 = -4*l + 39*z, -6*z = -158 + 146 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 23406*w**2 - 615*w + 7. Let h(j) be the second derivative of 23405*j**4\/12 - 308*j**3\/3 + 4*j**2 + 2*j + 22. Let k(i) = 3*h(i) - 4*u(i). Factor k(l).\nAnswer: -(153*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/3 - 1)*(-8)\/(-10). Let r(o) = -o**3 - 3*o**2 + 3*o - 4. Let w be r(d). Let y(k) = -11*k + 491. Is y(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 11*d**2 + d + 18. Determine u(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*p - i + 169, 3*i - 249 = -3*p. What is the remainder when p is divided by 39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*c**4 - 2 + 20*c**4 - 2*c**2 - 2*c**2 + 2*c**2 - c as i*c**2 + z*c + l*c**3 + g*c**4 + f and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*l - 20. Let o(p) = 6*p**2 - 5*p + 9. Calculate the remainder when o(3) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -15. Suppose 27 = o + w. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -519, -778, -1035?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 438 - 433. Suppose -j*k + w = -9*k + 9403, -2354 = -k + 3*w. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 + -2.4. Let l = -5 + 6.6. Let h = l - s. What is the biggest value in -2\/13, h, -4\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, -2, -1\/5, 15\/11?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-12) - (-6)\/18. What is the nearest to b in 4, -4\/7, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 4*a - 3. Suppose -2*c + 5 = 1. Let i be s(c). What is the third derivative of -3*n**2 + 6*n**3 + 6*n**2 - i*n**3 wrt n?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99580242*l**5 - 2*l**3*w - 5045*l**2*w - 15*l**2 - 2*l*w - 154*w wrt l.\nAnswer: -5974814520*l**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*z + 130 = 4*h, 4*z = 16. Suppose 6*i - 1630 = h. What are the prime factors of i?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -461\/9. Put z, 1.9, -2 in descending order.\nAnswer: 1.9, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*s**4 - 5*s**4 - 2*s + s**4 - 15*s wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11*y - 9. Calculate the remainder when 137\/4 - 17\/68 is divided by h(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4, -1, 77896, 109 in increasing order.\nAnswer: -5, -4, -1, 0, 109, 77896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = 3*w - 6, 0 = -h. Let q be (-4 - -2) + 32\/w. What is the tens digit of (q - 215\/15)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + w. Let y = 3 - -1. Suppose -y = -4*p - 0. Let q be (-5 - (-3 - 0)) + 1. Let l(h) = h. Calculate p*a(f) + q*l(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13*f**2. Let b(p) be the third derivative of 5*p**4\/24 + 28*p**2. What is b(n(u))?\nAnswer: 65*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 440 = -5*z, 4*z = -3 - 13. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 10, x: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from ieeei?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.63418um in centimeters?\nAnswer: 0.000463418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2\/5 - 294*z\/5 - 1656\/5 = 0.\nAnswer: -92, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 11, f: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 53341620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -4.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2 + 1\/2*x**2 + 5*x - 1\/3*x**3. Calculate q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2 + 858704008*g + 46085785834704004 = 0.\nAnswer: -107338001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*b + 7898 = -678*b - 185*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:37 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 8, -16.\nAnswer: -16, 4\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - ((4 + 0)*-73 - 0).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 26, 2\/3, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -317*n - 140. Let z(g) = 47. Calculate 2*w(y) + 6*z(y).\nAnswer: -634*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 19. Let g be (-2)\/(-18) + u\/108. What is the closest to -1\/2 in -2, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.06915\nAnswer: 0.01383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*f + 8 + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 + 4)*(3086*i - 3642*i**2 - 3086*i) in the form l + r*i**2 + f*i and give r.\nAnswer: -25494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1380*d**4 + 1380*d**4 + 9*d**2 - 6*d**5 - 5*d**5 + d**5 + d**5 + (-2*d - 2 + 2)*(4*d**4 - 3*d**4 - 3*d**4).\nAnswer: -5*d**5 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + t**2)*(2*t - 4*t + t) - 2*t**3 + 2*t**3 + 2*t**3)*(3 - 3 - 3*t)*(5 - 1 - 2).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {a: 3, x: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154 + -261. Let k be o\/(-5) - (-8)\/(-20). Let z = k - 15. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 - t**3 + 0*t**3 - 15 - 1 + 0 in the form c + p*t**2 + h*t + w*t**3 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/4 + 3*m**2 - 5*m - 8. What is the units digit of r(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - 11. Let a = w + 58. What is the greatest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = -56*c - 21. Let n(o) be the second derivative of 0*o**4 + 0 + 11\/30*o**c + 0*o**5 - o**2 + 0*o**3 + 14*o. What is the derivative of n(p) wrt p?\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1551*f**5 + 4*f**3 + 221*f**2 - 18 wrt f?\nAnswer: -93060*f**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -7, -11, -1, 394 in descending order.\nAnswer: 394, 2\/3, -1, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 536 + -264014?\nAnswer: -263478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29672528 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1064dd (base 16) to base 8\nAnswer: 4062335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6666 - -5577113.\nAnswer: 5570447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2*4\/2)\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/354634 and 17\/12.\nAnswer: 2127804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2673*d - 2123*d - 2353*d - 1145*d.\nAnswer: -8294*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/4)\/((-365)\/4745)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -803 + 394 - 494*k + 409 in the form v + w*k and give w.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 925294331.99312 + -925403455. Let l = -109095 - g. Let o = l - 28. What is o rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - x - 5. What is y(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25791\/5 + -1495967\/290. Let t = 6\/29 + o. Sort t, -4, 3\/8 in ascending order.\nAnswer: -4, t, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3676 is divided by 313.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -208589 times -0.3?\nAnswer: 62576.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011111101111000101 (base 2) in base 9?\nAnswer: -2185616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 371 + -209. Suppose -5*u - 12 + y = 0. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130*k**3*n*p + 2*k**3 - k**2*n*p**4 - 3*k*n - 5*n with respect to p.\nAnswer: -130*k**3*n - 4*k**2*n*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**3\/2 + 8*w + 12. Let r(h) be the first derivative of l(h). Let q(g) = 8796 - g**2 - 8796 + 2*g**2. Calculate q(r(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.144 + 0.466. Round n to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hthxzhhthztx. What is prob of picking 1 x and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2247519 is divided by 3397?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9923 - 59320?\nAnswer: -49397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 1071 = 18*q. Let s = q + -321. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, m: 1, l: 13}. Give prob of sequence llll.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 c when three letters picked without replacement from {k: 3, c: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpp when three letters picked without replacement from gpcpw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + (4336282\/920)\/107?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/49, -0.516, -90?\nAnswer: -0.516","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + (-434)\/21. Let m = 35 + b. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -98 - 142. Calculate the highest common factor of a and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1060\/51 - -62\/3. Let w = 0.28 + -0.15. Let d = w + 3.87. Which is the smallest value? (a) f (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12830484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1395485600 and 1600?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + 25*s - 3. Let h be x(-6). Let c(b) = 2*b**2 - 17*b - 20. What is the units digit of c(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = g - 9, 0 = -g + 9*w - 10*w + 9. What is the tens digit of 34\/(-5)*(-135)\/g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 5*t**2 + 13*t + 9. Let x be y(7). Suppose x = 2*g - 0. What is the units digit of 8\/20*g*115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -14. Suppose -3*w = -0*w - z. Solve 8 = -o - w*a, 0*o + 10 = -5*o - 5*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4821296*k**3*t**2 - 47*k**3*t + 207*k**3 + 694545 wrt t?\nAnswer: 9642592*k**3*t - 47*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 8*f + 6. Let z be v(-7). Let q = 81493\/5230300 + -1\/27100. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.026 + 0.02595. What is t rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 55*l**3 - 25*l**2 + 25*l + 25. Let y(v) = 18 + 2072*v**2 - 2069*v**2 - 3*v - 21 - 7*v**3. Calculate -6*d(j) - 50*y(j).\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.009 + 0.139. Is n at least 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/22*88\/(-32)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 713.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/88 and -85\/484.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shsssssh. What is prob of picking 2 s and 2 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.74438 millennia in months?\nAnswer: 776932.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 = 3*r + 39. Let a = 708\/5 + r. Let s = -1 + 0.9. What is the third biggest value in a, s, -1\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1546?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/17 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*w**3 + 73*o**2*w**2 - 11*o**2*w - 9*o*w wrt w.\nAnswer: 6*o**2*w + 146*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10637047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -13*a. Let n(p) = -754*p. Suppose 6*w + 5*w + 1287 = 0. Determine w*r(z) + 2*n(z).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 284342?\nAnswer: 284338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7950 = 549025*l - 548875*l for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyvyyyyyyyyvvyyyyyyv. What is prob of picking 3 v?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 1 - 3. Suppose i*x = -2*x + 24. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1413251990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 158*w - 2859. Let q be k(-21). Let m = -12 - -18. Let x be 18\/(1 - m\/8). Calculate the highest common factor of q and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, i: 2, b: 3}. What is prob of sequence ij?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -1, 114\/17, -3, -48, 0.3, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 t, and 1 p when three letters picked without replacement from {a: 2, t: 1, g: 1, o: 2, p: 2, y: 10}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p - 76. Let t be h(-8). Let n(v) = -2*v**2 - 42*v - 26. Let q be n(t). Solve 0 = 5*r + 2*r - q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910*j + 37 - 411 = 882*j + 382 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 0, 4 in descending order.\nAnswer: 4, 0, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-626)\/(-12))\/(100\/28644). Let h = j + -14941. What is the common denominator of h and -49\/80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 9*z**2 - 2*z - 45. Let l be o(8). Sort 2, -4, l, 1 in decreasing order.\nAnswer: l, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131 divided by 6175?\nAnswer: 3131\/6175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 23865976?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18233221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 4*v - 5. Let j be k(-2). Let u(m) be the first derivative of 1\/4*m**4 + 7\/2*m**2 + 2*m**3 + 2 + 3*m. Give u(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.8 (b) 34 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 4 (c) -52\/77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 119*u - 114*u + 5*v, -62 = 5*u + 4*v for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)*l*l**6\/l)**(-27) assuming l is positive.\nAnswer: l**(-864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -3 + 21 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 2688.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1604a (base 11) to base 5\nAnswer: 1211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.6 + -3.599941. Round v to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**3 + 3*y**2 + 4*y + 5. What is the units digit of g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -61*b**2 + 27*b - 25. Let h(o) = 15*o**2 - 7*o + 6. Let a(t) = 2*d(t) + 9*h(t). Let c(k) = 4*k**2 - 3*k + 1. Determine 2*a(m) - 7*c(m).\nAnswer: -2*m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, y: 2, t: 2, p: 3, i: 3, u: 2}. Give prob of picking 1 u, 1 i, and 1 p.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -14. Suppose 3*w + k = -3. Let d(z) = z**3 + 2*z**2 - 3*z + 3. Is d(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 595, 2394, 5393, 9592, 14991, 21590, 29389?\n\"Answer: 600*x**2 - x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.8665 or 730?\nAnswer: 2.8665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1728*s**2 - 144*s + 3.\nAnswer: 3*(24*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 170013.2104 rounded to the nearest 10?\nAnswer: 170010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**5 + 1404*d**4 - 198330*d**3 + 9723288*d**2 - 85689315*d - 697206900 = 0.\nAnswer: -5, 19, 97, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1\/13))\/(g\/(g\/(g\/g**(-3\/11)))*g))\/(g**4)**(-4))**44 assuming g is positive.\nAnswer: g**(8468\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13525, -27056, -40587?\n\"Answer: -13531*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 506657*w - 6079884. Determine a(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-867)*(-3 - 0).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (13 - (-30)\/(-10)). Suppose -3*z - 2*z - 5*o = 0, 5*z + 4*o = 0. Suppose -2*j - 3*b = 2*b + 2, -5 = 5*j + 3*b. Sort z, j, n in decreasing order.\nAnswer: z, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16884940927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 37. Let u = n + -3. Solve 0*g + u = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 1\/12760599 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**2 + 3*m - m + 2*m + (-2*m + 2 - 2)*(4*m - 2*m - m).\nAnswer: -9*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1561102.74 nanoseconds in days?\nAnswer: 0.00000001806831875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 1*(-14)\/2. Let f(t) = -t**2 + 8*t - 8. Let k be f(x). Find the first derivative of k*o**2 - o**2 - 3*o**2 - 2*o**3 + 3 wrt o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 27. Let y be i(30). Let x(q) = 78*q - 24. Does 7 divide x(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -1\/32*h**4 - 1\/48*h**3 + 1\/160*h**5 - 2 + 3\/16*h**2 - 5*h. Factor t(s).\nAnswer: (s - 3)*(s - 1)*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20031528 divided by 2503941\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**22)\/g))**(3\/22)*(g**(-36)*g)\/g**(-1\/3))**(-10) assuming g is positive.\nAnswer: g**(12385\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-20))\/(50274\/10055 - 5). Solve u = 9*q + 6078 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a second in milliseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*l = -30, -3882*l + 3886*l = -x - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 240256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -2 - (-8 + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2304 is divided by 759?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*k + 52 = 0, -33*n - 166 = -37*n - k. Calculate the remainder when 54 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -28775*d**2 - 39*d - 85. Let n(c) = 5755*c**2 + 8*c + 17. Let t(o) = 11*n(o) + 2*p(o). Is t(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c = -23*c + 36 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 540539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.2 (c) -2\/129 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1600)\/168 + 10 - (-7 - 350\/(-49))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 219*b + 4449 + 807 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:05 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8757 - 8753. Solve y + 166*m = 165*m - g, -3*y = m + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3050 = 4*u, -166*u + 169*u + 9 = 0. What is the lowest common multiple of o and 1519?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -860*k = -859*k - 5*g + 29, 0 = 5*k - 5*g + 85 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3592 + -3567. Solve 3*j + v = -4*d, -4*d = 21*j - 25*j + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196 - 318. Let k = s - -491\/4. Let n be (1 - 2)\/((-1)\/(-2)). Put n, -2\/15, -1\/14, k in increasing order.\nAnswer: n, -2\/15, -1\/14, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 3*q**2 - 3*q**3 + (2*q - 2*q + q**2)*(0*q + 2*q - q) - 2*q**3 - 2*q**3 + q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/3 - (-2 + 3). Suppose 0*z + 8 = h*z. Suppose 0 = z*q - 55 - 165. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5863\/116 + -5\/116. Let m = 33\/49 + -3973\/588. Calculate the common denominator of m and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*(-9)\/6. Let w = p + -1. Suppose 3 = m + q, w = 2*m + 5*q - q - 6. Solve -m*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + 1 + (-38 - -44).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 800641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/7))\/b*b**12\/b assuming b is positive.\nAnswer: b**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 4*b - 99. Calculate the remainder when b is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -3.7, -13, -302, -12?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 - -35?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10249*y**2 + 30757*y + 33. Give h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 1666*u**2 + 52388*u - 524704.\nAnswer: -2*(u - 863)*(u - 8)*(u + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*h - 15421 = -23913 - 922174. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 9*o**2 + 15*o - 8. Let x be d(10). Is (2912\/x)\/((-4)\/(-6)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (57 + -12 + -22)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**2 + 70*j + 160 = 0.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 63, 249, 555, 981, 1527, 2193?\n\"Answer: 60*w**2 + 6*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 0)*(2*z - z - 3*z) + z - 4 + 4)*(0*z**4 + 3*z**4 - 5*z**4).\nAnswer: -18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l + 133. List the prime factors of j(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - u**2 + u - 3. Let o be z(0). Let n = 1.5 + -2. Let s = n + 0. Which is the second biggest value? (a) 0 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 5846*b - 1393605. Give t(-249).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 620810.5 kilograms?\nAnswer: 620810500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3. Let d(g) = g**3 - g. Let y(m) = 5*d(m) + 6*q(m). Find the second derivative of y(j) wrt j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, -1984, -5517, -10448, -16771, -24480, -33569?\nAnswer: -44032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -30*(-8)\/12. Let h = 27 - n. Let j be 3\/(-2)*(-10 + h). Solve 25 = -j*g - 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + -16 + (20 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -12. What is the common denominator of -29\/10 and r\/(-2) + 185\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 9\/(9\/2 - 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.547304.\nAnswer: 0.0547304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 217576101*a**2 + 870304368*a - 870304356.\nAnswer: 3*(a - 72525363)*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45, -1919, -6971, -16791, -32969, -57095, -90759, -135551?\n\"Answer: -265*c**3 + c**2 - 22*c + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0.4, 0.1, 1\/1080 in ascending order.\nAnswer: -11, 1\/1080, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.3 - 19. Which is the closest to 1\/3? (a) -0.1 (b) l (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20577 - -36412. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z**2 + 2*z**3 + (-3*z + z + 0*z)*(-51589*z + 332*z**2 + 51592*z + 441*z**2) - z + 2*z**3 + z.\nAnswer: -1542*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 + a?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 207*o**2 - 126*o + 22440.\nAnswer: 3*(o - 68)*(o - 11)*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(-1 + sqrt(80)))**2 + (((1*sqrt(160) - sqrt(160) - sqrt(160)) + sqrt(160))\/(sqrt(288)*-2))**2.\nAnswer: -128*sqrt(5) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 3 - 3)*(-1137 - 163 - 512)*(-2 - 2 + 2) to the form n*t + y and give n.\nAnswer: -3624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -308, 3 in decreasing order.\nAnswer: 69, 3, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 8. Determine d(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t - 16. Let a be g(7). Suppose -4*i + 3*i = -4*l - a, 3*l - 79 = -2*i. What is the first derivative of 18 - i + 8*w + 13 wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -49, 0.103, 1, 0.1 in decreasing order.\nAnswer: 1, 0.103, 0.1, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(132)\/((sqrt(132) - (sqrt(132) - (sqrt(132) + (sqrt(132)*-5 - sqrt(132)))))\/sqrt(11)).\nAnswer: -3 - sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2460, -2465, -2472, -2481?\n\"Answer: -u**2 - 2*u - 2457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19790605.2 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15288 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4731 + -0.4269. What is the closest to -2 in -0.1, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 28 = -3*b. Suppose 3*i = -i + 12. Suppose -2*w = i*w. Solve h + 2*y + 5 = w, -2*y + 50 = 5*h - b*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - ((-5)\/4 + (-6)\/(-24)). Let x be 14\/m - (-1)\/((-2)\/3). Solve x + 0 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11751815 and 25.\nAnswer: 293795375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 10:13 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {x: 1, g: 1, z: 5, y: 7, l: 2}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - ((-20)\/(-8) + -2). Which is the second biggest value? (a) -3 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 397 - 392. Solve -15*k - n = -14*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -2511125112?\nAnswer: -2511125112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89395 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -346*n**2 + 19481 - 19481 to i*n + t*n**2 + r and give t.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12764251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 5*x**2 + 2. Suppose 92*m - 189*m - 388 = 0. Let f(o) = o**3 - 4*o**2 - 2. Give m*g(c) - 5*f(c).\nAnswer: 3*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 10 - 1)*(-9 - 6*k + 9) - 2*k + 0*k + 0*k.\nAnswer: 52*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 15*h**5 - 50*h**4 - 430*h**3 + 640*h**2 + 3975*h + 2250 = 0.\nAnswer: -3, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -58, -22, 52, 176, 362, 622?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-4)*(0 + 0 + 2). Suppose -t - 14 = 9*j. What are the prime factors of (-406)\/(-8) + (11\/(-4) - j)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1 (c) -2\/7 (d) -59341 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 3*v**2 + v + 25. Calculate the least common multiple of z(-4) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1433936 = 3*k + s, 252*k - 257*k + 2389920 = -5*s. What is k rounded to the nearest 1000?\nAnswer: 478000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s + 2. Let u(c) = -6*c + 1. Let w(h) = 5*u(h) - 2*y(h). Give w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/2008 and 81\/16.\nAnswer: 4016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 54590?\nAnswer: 54594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6450373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - i**2 - 2*i + 8. Let n be c(2). Let m be n\/(-12) + 6\/(-9) + 1. What is the nearest to 2\/5 in -0.8, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**4 - 4*a**3 + 637*a**2 wrt a?\nAnswer: -144*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 28 + 31. Suppose 0 = -5*a - 31 + 6. Sort a, d, 1\/2 in decreasing order.\nAnswer: 1\/2, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = 15*u + 4*a + 274, 4*a = u - 149. Let w be 0*(-3)\/12 + 1 - -224. What is the greatest common divisor of u and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 3. Let h be d(6). Let u(y) = 3 - y + 4 - 3 - 2. Calculate u(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3912 and -2.3449?\nAnswer: 0.91732488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.3 + 6.1. Let n = 0.8 + -7.4. Let h = v - n. What is h rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*t - 4755 - 3135 - 1732 = 1818 for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b + 2*b**2 - 2 - 13*b - 5*b + 29*b**3 - 1 + 23*b to h*b + y*b**3 + f*b**2 + l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 8*q = t - 18591, 0 = -2*t - 5*q + 37196. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33631 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -369875344?\nAnswer: -369875343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + 0.25. Let r = -2.01 - -0.01. Which is the closest to r? (a) -1\/3 (b) 2\/9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7830 - -7848. Suppose -2*h + 4 = -3*b, -5*b = -h + 3*h + 28. Put d, -2, h, 0.3 in descending order.\nAnswer: d, 0.3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*o*u*x**2 - 741*o*x**2 - 10*u*x**2 - u*x - u with respect to u.\nAnswer: -36*o*x**2 - 10*x**2 - x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9253733 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 437629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*v**2 + 1 - 1.\nAnswer: -569*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 + 0 = 0. Suppose -2*l = d + 3*d + 12, 0 = k*d + 12. Suppose 4*a = -y + l, -7*a + 3*a = 4*y - 44. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.5 - 4.2. Is r bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/18 and (-10)\/(2640\/167) + 1?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -378*d**2 - 33*d + 64. Let m(a) = 95*a**2 + 8*a - 14. Determine -9*m(z) - 2*q(z).\nAnswer: -99*z**2 - 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {x: 2, y: 2, z: 4, a: 2, t: 3, w: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 minus -2607345?\nAnswer: 2607296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cacmpsa. Give prob of sequence ap.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-4) - -5 - 4) + 5. Solve h + 13 = d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1617183976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 199*o**3 + 4*o**2 - 10*o + 2940. Let g(t) = 100*t**3 + t**2 - 4*t + 1470. Let w(v) = 5*g(v) - 2*m(v). Differentiate w(k) with respect to k.\nAnswer: 306*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 9. Let n be s(7). Suppose -n*w + 16 = 2*w. Let x(r) = r. Calculate x(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52330, 50308, 48284, 46258, 44230?\n\"Answer: -s**2 - 2019*s + 54350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 667809606 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-5)\/(-40)*2148)\/(3\/4) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 5 = 5. Suppose 2 - 162 = -4*v + 2*q, 4*q - 131 = -3*v. Sort -4, f, v in decreasing order.\nAnswer: v, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 27\/7 (b) 5 (c) -0.3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m**4\/3 - 142*m**3\/3 + 2458*m**2\/3 - 2080*m = 0. Calculate m.\nAnswer: -16, 0, 39\/10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1766, -1767, -1748, -1703, -1626, -1511?\nAnswer: -1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + 1 - 335\/50 and (-2)\/(-3)*(-231)\/451?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -103*y - 11672. What is t(-113)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32230378 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by -162150.\nAnswer: -16\/16215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.1 (c) -1 (d) -2.4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -38, 43, 0, -10, 5 in descending order.\nAnswer: 43, 6, 5, 0, -10, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 8315.259 to the nearest ten.\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1008)*2 - sqrt(1008) - sqrt(112)\/sqrt(4)*5)\/((-3*-3*sqrt(48) + sqrt(48))\/sqrt(12)))**2.\nAnswer: -2*sqrt(7)\/5 + 407\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - ((-6)\/21)\/((-20)\/(-35)))*(-696)\/2320?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1, 2*z = 5*w - 10*w + 178. Sort 4, 2, w.\nAnswer: 2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 18. Let m(v) = -v**3 - 6*v**2 - 4*v + 6. Let i be m(-5). Let o = n + i. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142995512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9dc + 13?\nAnswer: -9c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -3003013130?\nAnswer: 3003013113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56870 + 56910 = 5*p + 5*a, 4*a - 36 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 20 = 4*b + 4*s, 0 = -5*b + s + 4. Suppose -5*o + 4 = -4*o. Solve -3*i - i + o = b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -19*r. Let y(p) = -2*p. Let z(n) = 5*n. Let t(x) = 7*y(x) + 3*z(x). Determine t(q(o)).\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/2)*q)**(2\/19))**(6\/11))**(-11\/8) assuming q is positive.\nAnswer: q**(-3\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -35, -52, -69, -86, -103?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 273331295586 less than 0.4?\nAnswer: -273331295585.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l + 54. Let w(c) = -3*c + 1. Determine -h(x) + 6*w(x).\nAnswer: -29*x - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - w)*(-2 + 0 + 1)*(-2*w + 5*w - w)*(-3*w + 25*w + 12*w).\nAnswer: 68*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*m - 1862 = -296*m - 454 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106307882 and 296.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 113*x - 115*x = -20, -3*z - 2*x - 1 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74409 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-52)\/14 + 12\/(-42). Let s(k) = -k - 7. Let g be s(-6). Let l be (9 + g + q)\/2. Solve -l*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3166274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16243 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**6 + 36*r**5 - 46*r**3 - 5507*r**2.\nAnswer: 120*r**3 + 2160*r**2 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8 and 33\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3, 56.3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*156\/585?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10*a*a**(-7)*a*(a**(5\/2))**(15\/8))**(-9) assuming a is positive.\nAnswer: a**(-1395\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111*55\/(-44770))\/((-12)\/16).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fkkkkkfffkfkkkkfkk.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + ((-10833)\/(-253)*1 - 32).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*v + 0*v - 4*v + 2*v + 3*v + v - 2*v + (-1 + 1 + 2)*(2*v - 1 + 1))*(1 - 2 + 0)*(79*v + 81*v + 50*v).\nAnswer: -420*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3871.69 to the nearest ten.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4872 + 4924. Solve 58 = j + b for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -14 + (175 - 151) + (2 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**27)\/o*o)\/(o**(-2\/35)*o) assuming o is positive.\nAnswer: o**(947\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a63 (base 13) to base 4.\nAnswer: -11100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 1 + 4 - (sqrt(405) + 0)**2.\nAnswer: -400 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from dleyg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10d17 - 68?\nAnswer: -10d7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1742*u**6 - 26*u**3 - 877418*u**2 wrt u?\nAnswer: 209040*u**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 196, 220, 244, 268?\n\"Answer: 24*i + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 10:59 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10 - ((-255312)\/(-30))\/(-12). Let p = -702 + o. Is p greater than or equal to 39\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 1. Suppose g - s = -4*x, -x - 2 = -1. What is the third derivative of -12*m**2 + 15*m**6 + 28*m**2 + 6*m**2 + g*m**2 wrt m?\nAnswer: 1800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 201*p**3 + 8*p + 2 - 8*p**2 - 202*p**3 to f*p + t*p**3 + z*p**2 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52324816, -52324817, -52324818?\n\"Answer: -j - 52324815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 355416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/8)\/k)\/(k**3*k)*k**(-1\/4)\/k**3)\/(k**(4\/7)*k*k**(1\/4))**(1\/2) assuming k is positive.\nAnswer: k**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4750 < 4805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z - 6. Let h(w) be the second derivative of 0 - 1\/2*w**2 + 10*w. Determine 6*h(b) - x(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 16.77. Let d = m - 5.23. Which is smaller: d or -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2374 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5004*g**3 + 7499?\nAnswer: 15012*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*z**3 - 105*z**3 + 45*z**3.\nAnswer: -157*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/13 - 197070404*q\/13 + 4854593016590402\/13.\nAnswer: 2*(q - 49267601)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 6*c**2 - 6*c - 6. Let o(l) = l**3 + 5*l**2 + 5*l + 5. Let x be (-5)\/((-15)\/9) - -2. Calculate x*i(v) + 6*o(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2505800364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 2)*(5*s - 2*s - 2*s) in the form r*s + m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205755485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1547826 is divided by 1144.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19))**2*6 - sqrt(931)*3.\nAnswer: -33*sqrt(19) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 5*q**2 + 8. What is the remainder when u(-4) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*m - 1 = -5, -5*g - 32468500*m - 10 = -32468498*m - 35 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtg when three letters picked without replacement from {t: 1, g: 2, k: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 12332*h + 4098*h + 4097*h + 2*h**4 + 1 + 3986*h - 2*h**2 in the form c*h**2 + y*h**4 + u + m*h**3 + r*h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-108 + 10) - -7) + -33 + 17\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 3\/20*n**5 + 0*n**4 - n - 124*n**2 + 0 + 11\/6*n**3. Let f(g) = -g. What is f(w(l))?\nAnswer: -9*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (1123095\/12)\/(64\/(-128) + (-3)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g - 34. Let x = -48 - -56. Let m be h(x). Suppose 7*a = 185 - m. Which is smaller: a or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-2)*(194 - 195)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 8*m**2 - 2*m + 17. Let c be t(-7). Calculate the remainder when 54 is divided by 6*(-16)\/c*(-15)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000 (base 2) in base 7?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 256655*x - 137386950.\nAnswer: -5*(x + 541)*(x + 50790)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2 + 341*f - 1380 = 0.\nAnswer: -345, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8431876 months to decades.\nAnswer: 0.02369323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*1*sqrt(22) - 3*sqrt(22)*-2)\/(sqrt(99)\/((sqrt(108)*2)\/sqrt(12))) + 5.\nAnswer: -80*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1c3a (base 14) to base 8\nAnswer: -12034","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -68, -3 in ascending order.\nAnswer: -68, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -460479, -920929, -1381379?\n\"Answer: -460450*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00040209 rounded to 6 dps?\nAnswer: -0.000402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 69*u - 11. Suppose 15*v - 20*v = -20. Is g(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200122 (base 3) to base 4\nAnswer: -13313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (431 + -425 + (-1 - 18))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19204*y**3 - 94254*y**3 - 10584*y**3 + 21782*y**3.\nAnswer: -102260*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/11 + 75\/6 + (-21331)\/5654\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -37 (c) -1 (d) 0 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Let g = -7 + p. Let y = -4.0000016 - g. What is y rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -268280 divided by -4\nAnswer: 67070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + 0 + (1 - -2) - 11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*t - 46913 - 21460 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15844 is divided by 3959.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -39. Let j be (8\/(-6))\/(2\/6). Let d(g) = g**3 + 26*g + 20*g + 2*g**2 - 46*g. Let v(i) = 5*i**3 + 9*i**2. Calculate j*v(o) + m*d(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 36*c - 107. Let h be p(5). Sort 0, 5, -5, h.\nAnswer: -5, 0, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let p(h) = -2*h + 13. Let r be p(5). Put q, r, -3 in descending order.\nAnswer: r, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27e (base 16) to base 3.\nAnswer: -212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 3, b: 5, i: 1, s: 1, x: 1}. What is prob of sequence si?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 294259 - 2?\nAnswer: 294257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 259512?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5129 and 36?\nAnswer: 184644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 18. Let s be k(13). Let f = s - -12. Let d(n) = n**3 - 3*n**2 - 3*n - 2. Let g be d(f). Solve g*v = v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.029 and 99140?\nAnswer: -2875.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u**(-7)*u*u))\/u*u*(u**(1\/11)\/u)\/u*u)\/((u*u**(4\/9))\/((u\/(u*u**4*u))\/u)))**(-45) assuming u is positive.\nAnswer: u**(670\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-30))\/((-6)\/(-90)*(-5)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + w**2 - 5*w - 1. Let z(g) = -g**2 - g - 1. Let c(p) = 2*u(p) - 2*z(p). Factor c(b).\nAnswer: 4*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/4 + (-3)\/(-6) - 1. Solve -4*f + k*f = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:52 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -45, -57, -53, -27, 27, 115?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -688495300, -688495298, -688495296, -688495294, -688495292, -688495290?\nAnswer: -688495288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/17 - 228*t\/17 + 2480\/17.\nAnswer: -2*(t - 10)*(t + 124)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 + 116. Let f = -16 - -28. Let a be (4\/(-8))\/((-3)\/f). What is the second smallest value in a, 1\/20, h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 6*s + 5*t - 296 = 0, 5*s + 2*t = 1365. Let a = s + -58. Round a to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 480 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.918 - -1.025. Let a = v + 0.9. Let d = a + -0.0069954. What is d rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31594\/311 <= 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lii when three letters picked without replacement from {y: 1, i: 4, r: 1, l: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3689307940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5126 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(3\/(-27)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38606 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 7*u - 4. Let n be q(-6). Let a = 0 + n. Find the third derivative of -8*i**2 + 2*i**2 - 3*i**3 + 0*i**a wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + k. Let q(w) = w**2 - 16*w - 11. Suppose 2*g + 20 = 18. Let f(d) = g*q(d) + 2*i(d). Is f(-18) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1023117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 76?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-117)\/(-18))*(-3)\/(-3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29730 divided by 6.\nAnswer: -4955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -9363992?\nAnswer: -9363992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -0.2, 0.03, -1\/2, 1\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-588)\/35)\/(6\/(-500)). Suppose -s = f + f. Round f to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 3. Let i be u(3). Let f(o) = -4 + 0 + i*o**3 + 5*o**2 - 2*o**3 - 1 - 6*o. What is the remainder when f(-5) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20771 - 20771.1. What is the biggest value in q, 0.0238, -1?\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:58 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 1:00 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 19. Let v be u(-4). Suppose -2 = -v*l + c, 5*l - 3*c + 5 - 3 = 0. Solve -y - l*y + x + 5 = 0, -3*x = -4*y + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -17 (c) 2\/11 (d) 3 (e) 2935\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-7) - 352\/28. Let m = -11 - y. What is the highest common factor of m and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 40*h**2 + 80*h.\nAnswer: 5*h*(h - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 2. Let b(f) = 244*f - 8. Calculate b(o) - 4*g(o).\nAnswer: 248*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44*(7\/4)\/(10\/(-20)*7)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2317*b**2\/5 - 57922*b\/5 - 15 = 0?\nAnswer: -3\/2317, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122867?\nAnswer: 122867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/8 (b) -7\/3 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(17) - 5*-3*sqrt(17)) + ((sqrt(17) + 2 + 3)*-6)**2.\nAnswer: 1509 + 376*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + j**4 - 2*j**2 + (2*j + 2*j**2 - 2*j)*(0*j**2 - j**2 + 2*j**2) + j**4 + 3*j - 3*j + 2*j**2 - j**4 - 2*j**2 + 63*j**4 + 234 - 234 - j**4 + 0 + 0.\nAnswer: 65*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/60 - d**4\/6 + 2*d**3\/3 + 3*d**2. Let s be x(4). Calculate the common denominator of 56\/(-10)*s\/(-32) and 71\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 + 2*t**2 + 2*t. Let a be v(-1). Sort 2, a, 5 in descending order.\nAnswer: 5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -1\/3 (b) 17 (c) 3\/11 (d) 291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*1960\/2450?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -797.09122 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-16)\/(-72)). Is 3 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3663 (base 13) to base 4.\nAnswer: 1320012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*b + 7. Solve b*o = -4*s + 6*o - 8, -2*o - 17 = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -8. Solve -3*t - u = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042 (base 5) in base 14?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14434, 28869, 43304, 57739, 72174, 86609?\n\"Answer: 14435*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9126313 weeks in minutes?\nAnswer: 9199.323504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-3)\/((-2)\/((-66)\/(-9)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6714824*v**2. Let a(t) = 4*t**2. Calculate d(a(p)).\nAnswer: 107437184*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 + 18\/5. Let x be ((-1586)\/3)\/(5\/((-45)\/3)). Suppose 4*y + 1570 = x. Solve -3*s - m*g = -2*g - 8, -y*g = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 249*o - 254*o - 14, -5 = 5*o + 5*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0351 + 30.9649. Do b and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179672?\nAnswer: 2, 37, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 12 = 4*y. Sort y, 5, -5.\nAnswer: -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-6)\/2) + 3. Let f be g\/1 + -5 + -33. What is the units digit of f\/(-4) - (-4)\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 70*v**2 + 42*v - 1463. Let r be d(35). Which is smaller: 239 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s = 68. Find the third derivative of s*f**2 + 122*f**5 + 14*f**6 - 122*f**5 wrt f.\nAnswer: 1680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50505.\nAnswer: 3, 5, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -11. Is w >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -630, -399, -166, 69, 306?\n\"Answer: f**2 + 228*f - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12381042*i**3*p**2 - 2*i**3*p + 2516*i**3 + 3572*i wrt p.\nAnswer: 24762084*i**3*p - 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = -2*a + 42, 0 = -5*t + 5*a - 60. Let k(l) = -l**3 - 8*l**2 + 10*l + 12. What is the units digit of k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/336*-6383 - 27\/(-72). Let l = a + 30319\/840. What is the common denominator of l and 67\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 61*b**2 - 48*b + 8140. Let j(x) = -170*x**2 + 147*x - 24419. Let f(i) = -3*j(i) - 8*z(i). What is the derivative of f(v) wrt v?\nAnswer: 44*v - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/270 and 47\/1305.\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:43 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4175020 is divided by 1122.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r - 2*r + 8*r + (3 + 1 - 3)*(-r + 2 - 2) + r + r - 3*r - 5 + 5 + r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/1757 - -1761\/3514. What is the closest to 1\/5 in -6, 4, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2155.17 - 2164. Let v = r - 0.17. What is the third smallest value in v, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2706528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 + -156. Let t(s) = -2*s**2 + 4*s. Let j(m) = -2*m. Let f(o) = r*j(o) - t(o). Factor f(d).\nAnswer: 2*d*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222923920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 + n**4 + 0*n**4 + (-4 + 2*n + 4)*(-n - 2*n**3 + n) - 95*n**4 - 1182*n**2 + 1182*n**2)*(-n - 2*n + 2*n).\nAnswer: 98*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25362 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 87086614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/468 (b) -4\/5 (c) 2 (d) 6 (e) 27\/4 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**0))\/((r*r**(-3\/10))\/r)*r**4\/r**3)\/(r*r**(2\/11)*r**6*r**(-2\/27)\/(r**0*r)) assuming r is positive.\nAnswer: r**(-14279\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t - 4*t + 2*t**2 + (-3*t - 2 + 2)*(63*t + 62*t - 133*t) + 3*t**2 + t**2 + t**2 as r + l*t**2 + z*t and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8742.838 kilograms to tonnes.\nAnswer: 8.742838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Suppose -4*p = -5*z + 16, 2*z - 19 = -m*p - 6. Suppose -105 = -z*h - h. What is the greatest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2. Let t(g) = -9253*g + 1. Determine f(t(a)).\nAnswer: 85618009*a**2 - 18506*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2636 - -52721\/20. Let i(u) be the second derivative of -u - q*u**5 + 0*u**4 - 6*u**2 + 0 + 0*u**3. Differentiate i(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106635301 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -148*l**5\/85 - 147*l**4\/34 - 48*l**3\/17 + l**2\/17 - 5012. Factor n(s).\nAnswer: -2*s*(s + 1)**2*(74*s - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 12:19 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 22*a**3\/3 - 4052. Let t(s) = -s**2 - 44. Determine t(r(i)).\nAnswer: -484*i**4 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2dd4a (base 14) to base 9\nAnswer: -184818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + (-6 - (16 - 24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -5*l**4\/24 + 2*l**2. List the prime factors of w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8908.266 days in seconds?\nAnswer: 769674182.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 3*w - 5 + w + 3*w. Let u(t) = 2*t - 3. Give -4*d(c) + 7*u(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, o: 1, z: 1, p: 1, j: 4}. What is prob of sequence pjz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-152697)\/(-8852)).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.3 (b) 4661362 (c) 5\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -7, 2.\nAnswer: -7, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 46*p**2 - 11*p + 103. Let y be m(6). Suppose -2*k - 3*n + y = -1545, 0 = 3*k + 3*n - 4854. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 74 = i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 359*l**3 + 11*l**2 + l + 4. Let k(x) = 179*x**3 + 5*x**2 + 2. What is 11*k(g) - 5*r(g)?\nAnswer: 174*g**3 - 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n**2 - 6*n - 697. Let f(x) = 7*x**2 - 5*x - 699. Let c(t) = -6*f(t) + 5*i(t). Let d(b) = -2*b. Give c(d(r)).\nAnswer: 12*r**2 + 709","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4083 divided by 1361?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 57 = -2*q - q, -102 = -3*l - q. Let j be 36\/10*55\/l. Find the first derivative of 7 + 2 - j + 15 - 36*k wrt k.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 214 = v + 125, 4*q + 1363 = 3*v. Let a = q + 351. Solve -a = -4*s - 7*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5875906548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4199522820 to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-2))\/((-3)\/(-9)). Let l = 75 + o. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 1. Let v be h(-6). What is the least common multiple of 99\/2 + v\/10 and 18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9 - p + 3*p + 3*p**3 - 4*p**2 - 3*p - 4*p**3. Let i be v(-4). Which is bigger: -0.1 or i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x\/(x\/x**(1\/8))))*(x**(-2\/21)\/x)\/x*x\/(x\/(x*(x*x*x**(16\/3)*x)\/x))*x*x**0 assuming x is positive.\nAnswer: x**(1237\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 553459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/14 - (-82)\/7. Let c be (0 - -2)\/(u\/(-78)). Let o = c + 51\/4. Are o and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21288236, -21288233, -21288230?\nAnswer: -21288227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*s - 384 = -0*s, 0 = -2*b + s + 376. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 36. Let r be (9 - 3)\/(((-27)\/i)\/(-3)). What is the remainder when 19 is divided by (r\/(-2) - -3)\/(24\/168)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 23 = -10*b. Let r = -6 + b. Solve j + 3*d = -2, 4*j + 2*d = -r*d - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = -3*v. Suppose v*h - 2*a = 134, -a = -2*h + 75 + 55. What is the remainder when h is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 38 + 362 = 0. Let x = r + 160. What is the remainder when x is divided by (-2)\/5 + 535\/25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 279, -4, -6, 0, -2, -1777.\nAnswer: -1777, -6, -4, -2, 0, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 226 and 47588.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/3, -0.1, -7, 1\/4, -2\/3.\nAnswer: -7, -2\/3, -1\/3, -0.1, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434468497?\nAnswer: 19, 22866763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 3, -5 in decreasing order.\nAnswer: 3, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqgq when four letters picked without replacement from ghqzq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.699 rounded to one decimal place?\nAnswer: 126.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 2*r - 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 - -3.5. Let z = 218\/119 + -36\/17. Let h = -10 - -6. Sort h, b, z in descending order.\nAnswer: b, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36708 - -36706. Which is the biggest value? (a) 18 (b) 9 (c) h (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3753799 divided by 5?\nAnswer: 3753799\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-eight thirds of a day?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 12*k**2 + k**3 + 219021*k - 4*k**3.\nAnswer: -3*k**3 + 12*k**2 + 219021*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 478 + -222. Suppose -i = -12*t + 680. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -24*s. Let r(v) = 49*v. Calculate -2*r(g) - 5*w(g).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + t + 7)*(2*t + 2*t - 6*t)*(1 + 0 - 5) as q*t + i + b*t**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**8\/112 + z**7\/70 - z**6\/8 - z**5\/4 + z**4\/2 + 2*z**3 - 6*z**2. Find d, given that o(d) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-120)\/70 - (-4)\/6*3. Let f(v) = -v**3 + v**2 - 5*v - 9. Let u be f(0). What is the second biggest value in 0.3, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 16*b**2 - 14*b - 17. Give d(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2737 - 869. Suppose -g + 3*g = q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - h**2 - 4*h + 1. Determine j(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a micrometer in nanometers?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*y - 16, -4*l + 2*y + 17 = 3. Let f(h) = h**3 + 9*h**2 + 7*h - 8. Let z be f(-8). Suppose -2*n + z*n = -4. Put l, n, -3 in descending order.\nAnswer: l, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2132 - -2165. What is the smallest common multiple of f and 843?\nAnswer: 9273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54639463 + -54639450.9999993. Let h = l - 12. Round h to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.7 - 9.1. Let m = -3.7 - -4. Let z = v - m. Which is the nearest to 0? (a) -5 (b) 2\/15 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/7 + 151432*h\/7 - 1968278\/7 = 0 for h.\nAnswer: 13, 75703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15169533 rounded to four decimal places?\nAnswer: 0.1517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w - 10. What is t(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11880)\/(-5280))\/((-3)\/(-8)*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 3*h**2 + 3*h + 1. Suppose 2*n = 4*l + 26, -5*l = -3*n - n + 34. Let f = 10 + l. Determine g(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 213?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -105*v - 3294. Determine z(-31).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -708712.8 rounded to the nearest ten thousand?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*j**4 - 27*j**3 - 11*j**2 + 217*j - 2 wrt j?\nAnswer: 2184*j - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1132 + -27.63.\nAnswer: -27.5168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 10 = 3*n - 0*v, n - v + 5 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 - k + 1. Let s be a(1). Let i be s*(0 + 1) + -3. Let p = 20 - i. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*g**3*q + 317*g**3 with respect to q.\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120309720 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17892)\/294*-28*18\/216.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.709573 - -1.\nAnswer: -38.709573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 3*k + 4*k)*(-21 + 21 - 12*k**2) + 2*k**3 + 2 + 2*k - 2.\nAnswer: -10*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:22 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -49021 less than 566?\nAnswer: 49587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/17 in 71\/6, 5, -841?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129 + 190. Let x = -57 + y. Sort -2, 1, x, 1\/7 in decreasing order.\nAnswer: x, 1, 1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-7)*a\/a**(-7))\/(a**(-2\/3))**(1\/41)*(a**(-4)\/a**0)\/(a**(3\/2)*(a*a**(2\/5)\/a*a*a)\/a) assuming a is positive.\nAnswer: a**(11213\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 74. What is the smallest value in 2\/89, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11208426140 less than -0.02?\nAnswer: -11208426140.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/1656 and -50\/1449.\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227 - 214. Solve 11 = y*b + 37 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, l: 1}. What is prob of sequence hh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + 6565.3995.\nAnswer: 6555.3995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0 - 30. Suppose 17*r = o*r + 70. Suppose -4*f + x + 8 = -7, -3 = -3*f - 2*x. Solve 4*p - r = -f*n, -3*p + 8*p - 10 = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - 5*f**2 + f. Let g(h) = 2*h**3 - 4*h**2 + h. Determine -4*g(n) + 3*z(n).\nAnswer: -2*n**3 + n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -823 + 823. Let m(b) be the third derivative of -1\/12*b**4 + 1\/120*b**5 + 11*b**2 + 1\/4*b**3 + 0 + y*b. Factor m(r).\nAnswer: (r - 3)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**5 - 41*j**4 + 89*j**3 - 9*j**2 - 101*j + 50. Let q(z) = -z**5 + 21*z**4 - 44*z**3 + 4*z**2 + 51*z - 25. Let s(w) = -11*q(w) - 6*r(w). Factor s(c).\nAnswer: 5*(c - 1)**3*(c + 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105.7 + 104.7. Which is the smallest value? (a) 0.5 (b) 0.11 (c) n (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1030 and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wqwwqqqwwqwqq?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*w + 6, 786*w - 781*w = -3*z + 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 299349 + 4?\nAnswer: 29934d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(320) - (2 + sqrt(320) + sqrt(320))))**2 + 3 + (1 + sqrt(320) + sqrt(320))**2)*3.\nAnswer: 144*sqrt(5) + 4815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -1 - (260 - 178)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 168220016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2083 + 838 + 584 + 2*x as d + g*x and give d.\nAnswer: 3505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67 + -14469?\nAnswer: -14402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 291 - 295. Let g = -10 + 5. What is the third biggest value in g, q, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/18620)\/(9\/(-57))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -30.5. Which is the biggest value? (a) l (b) -3\/4 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438.69779 + 0.3.\nAnswer: 438.99779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -243? (a) -2\/5 (b) 2 (c) 2\/9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20992 and 5741558.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1360154 and -1360169 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 - 10*x**2 + 10*x + 10. Let o(h) = h**2 - h - 1. Suppose -f + 2*f = 3. Let v be 0 - (-2)\/f*15. Determine v*o(j) + r(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.28739 micrometers in kilometers?\nAnswer: 0.00000005928739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -14, 0.2, 0.3, 1\/3 in decreasing order.\nAnswer: 4, 1\/3, 0.3, 0.2, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**7\/5040 + u**6\/180 + 7*u**5\/60 + 17*u**2. Let z(b) be the third derivative of p(b). What is z(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-27094)\/(-992) + -9.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.1 (b) 2246.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -4*i - 6, -134*d = i - 133*d + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65.62646*6.\nAnswer: 393.75876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + -89825175.\nAnswer: -89825174.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7159770 and 65296?\nAnswer: 4410418320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -1\/216*y**4 + 11\/2*y**2 - 1\/540*y**5 + 0*y + 1\/27*y**3 - 13. Let d(w) be the second derivative of h(w). Factor d(l).\nAnswer: -(l - 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-4) + (-4)\/8. Suppose -b - 4*b + 30 = 2*k, 8 = f*b. Calculate the least common multiple of 44 and k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525 divided by 5?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1792 and 83712.\nAnswer: 585984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*8\/56)\/(4\/(-1)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 7. Suppose 3*v + f*l - 44 = 0, 61 = 6*v - 2*v + 3*l. What is the highest common factor of 144 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/2)\/(70\/168). Let c be 1*y\/4*(0 + 2). Suppose -4*j - 125 = -2*a + 65, 380 = 4*a + c*j. Calculate the remainder when a is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z**3 + 3*z**2 - 6*z - 6. Let o = 21 + -40. Let x = 23 + o. Let w(g) = 5*g**3 - g**2 + 3*g + 3. Let f(d) = x*i(d) + 7*w(d). Determine f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3873359 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**4 - 2*o**3 - o**2 - 1. Let i(m) = 109*m**4 + 8*m**3 + 4*m**2 - 49. Let s(z) = -4*b(z) - i(z). What is the derivative of s(t) wrt t?\nAnswer: -468*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from yhyyrryyrr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10541, -10539, -10535, -10529, -10521, -10511, -10499?\n\"Answer: j**2 - j - 10541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -2*b + 19, -18*b + 16*b = 2*d - 28 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -4 - (72 + -52)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1031 times 45\nAnswer: 46395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 14*x - 124, 5*x - 12642 + 12693 = -o for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 7*z + 8. Let i be s(-6). Let f(t) = 6*t**2 - 2*t**2 + 3*t**2 + 3 + t**3 - t**i. What is the units digit of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/20 - 0)\/((-27)\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 212 - 207. Suppose 5*u - 16 = -a*d + 2*u, -4*u = -8. Solve -d*h = h + f + 7, -h - 5*f = 21 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1570 + 763413?\nAnswer: 761733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 93*r**2 - 123*r**2 + 28*r**2. Let f(x) = -3*x - 33. What is f(u(b))?\nAnswer: 6*b**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.71? (a) 3 (b) 0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1938539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000618 to 7 decimal places.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 50*m**2 - 150*m + 463. What is a(-53)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*w = 292*w - 805. Calculate the highest common factor of 46 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4732 minus 0.7966319783?\nAnswer: -1.2698319783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(36\/4))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -31602*a + 10. Let w(c) = 10534*c - 4. Calculate -3*r(h) - 8*w(h).\nAnswer: 10534*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -6. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -7.7. Let j = -2 + q. Let h = -894 + 891. Which is the closest to 0.1? (a) j (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3804 = -8*b + 3652 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -38, -62?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/167, 2\/15, -5, 1\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1150670, 27, -1, 3 in decreasing order.\nAnswer: 1150670, 27, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2120 = b + 4*b. Suppose 52 = w + 28. Let p be (-1)\/(-3) + b\/w. Calculate the greatest common factor of p and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5530699*a - 5530697*a + 25*a**2 + 11061396*a.\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 30*r**2 - 6*r + 162. Calculate o(30).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 - 101. Let z = l + -46. Let a(r) = r**3 + 7. Determine a(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-24)*102\/4. Suppose v - f + 27 = 0. Let d(q) = q**2 + 12*q + 20. Let w be d(v). Solve -x + 3 + 1 = w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-12) + 24\/16. Solve 71*y + c = 70*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuoo when four letters picked without replacement from {e: 1, u: 1, c: 4, o: 2, t: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 122. Let w = -12 - k. Solve 5*q - a = 4*a - w, -3*a = -6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-3) + 143\/48 and 2\/(-4) + (-395)\/(-40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from {q: 9, b: 2}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 7:32 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01201 in 4, -0.8, -13?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -6797086.11?\nAnswer: -6797086.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 + 29 + 29)*(-g**2 + 5*g**2 - 2*g**2) to h*g + o + y*g**2 and give y.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 209794 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.117 + 20.083. Let z = w + -22. Let f be (175\/63)\/(2\/2) + -3. Which is the nearest to 0.1? (a) f (b) 1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 23, 168, 475, 998, 1791?\nAnswer: 2908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f + 83. Let d be x(8). What is the tens digit of (d + -5)\/5 - -959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 7:12 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/5, -29\/115, 3\/11, 2\/11.\nAnswer: -2, -29\/115, 2\/11, 1\/5, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0783127845 rounded to 5 dps?\nAnswer: 0.07831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489342?\nAnswer: 2, 3, 7, 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 990873 and 702.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13010.\nAnswer: 2, 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 101499710 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38095323?\nAnswer: 3, 7, 19, 307, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 28115 (base 9) to base 4\nAnswer: 10221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -136, -4 in decreasing order.\nAnswer: 5, -4, -6, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10226420 is divided by 22725?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 + 0*o**3 + o**3 + (0*o + o**2 + 0*o)*(o + 10 - 10) + 3*o - 3*o - 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*d**2 + 4*d + d**4 - 173*d**3 + 172*d**3 + 41*d**2 - 18*d**2 + 2 to the form b*d**3 + s + i*d**2 + w*d**4 + q*d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10\/2573 + 2543\/7719. Put 0.3, -1, -0.01, p in decreasing order.\nAnswer: p, 0.3, -0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**2*p**3*u + 4*i**2*p**3*w + 4*i**2*u - 6*i**2*w + i**2 + 6*i*p*u*w - 9*p**3 wrt w?\nAnswer: 4*i**2*p**3 - 6*i**2 + 6*i*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*d - 130*d + 1009 + 989 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) -21 (c) 421980\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5 + 3684*o**4 + 3682*o**3.\nAnswer: 2*o**3*(o + 1)*(o + 1841)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u - 23*u = -3*c + 28875, -4*u - c + 23100 = 0. What are the prime factors of u?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6587 and -0.1.\nAnswer: 6586.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 3*x - 2*w, w - 3*w = -5*x + 116. Calculate the highest common divisor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*q**6 - 1678*q**5 + 2*q**2 + 631403 wrt q.\nAnswer: 2280*q**3 - 100680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 v when three letters picked without replacement from vddv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 227244*j - 227243.\nAnswer: -(j - 227243)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1147*s = 1012*s + 2025 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/115157630 and -26\/33123.\nAnswer: 345472890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 - 9*l**2 + 9*l**2)*(l**2 - 2*l**2 + 0*l**2) + 111*l**5 - 5381 + 5381.\nAnswer: 115*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (20 + (-50 - 51))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 4*y - 3. Let q be x(5). Let j = 73\/27 - 64\/27. Let -2\/3 + u - j*u**q = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093560 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 6*y + 3. Let u(b) = -b + 26. What is the remainder when u(6) is divided by m(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1730 is divided by 1689?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*n + 14843 = 14458. Let g(s) = -s**3 + 2*s**2 + 21*s - 6. What is g(n)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 27. Let k(n) = -3*n**3. Let b(a) = -8*a**3. Let d be (-12)\/12 + (-4)\/1. Determine d*b(g) + i*k(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f**5 + 80*f**4 + 104*f**3 - 208*f**2 - 276*f + 288 = 0.\nAnswer: -3, -8\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*v, 5*v - 4*o - 9 - 31 = 0. Let c be (-3)\/(-7 + 46\/v). Sort 9\/2, c, -0.3 in increasing order.\nAnswer: c, -0.3, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + 80 - (1 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 659 and -10914 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(57)\/sqrt(3) + -3 + sqrt(171) + (2*sqrt(1900) + sqrt(1900) + -4)**2 + (1 + 5*sqrt(1216)*2)**2*5.\nAnswer: 564*sqrt(19) + 625120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 + 2*y**2 - 2*y. Let g = 222 - 167. Let m(a) = -80*a**3 - 55*a**2 + 55*a. What is g*i(x) + 2*m(x)?\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 - 11 - 2\/(-4)*1*3943. Which is bigger: 1969 or s?\nAnswer: 1969","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1107579, -2215162, -3322745, -4430328?\n\"Answer: -1107583*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-354)\/6 - -32)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 2, g: 4, l: 1, r: 2}. What is prob of picking 1 e and 1 y?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806655 is divided by 214?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 52*i - 55*i + 5*u - 10*u, 5*i + 4*u - 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17593 divided by -318.\nAnswer: 17593\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010 (base 2) in base 8?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5106 + -5408.72. Let g = 296 + b. What is g rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*m = -105, -3*g - 2*m + 71 = -7. What is the least common multiple of g and 46?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 10*y - 24. Let c be s(-6). Solve -h + c*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -240, 5, 0 in decreasing order.\nAnswer: 5, 0, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3119 = 76*w + 51*w + 4389 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336 - 18 + 42 = 10*r + 20 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 60. Let w = o + -17. Which is the nearest to 2\/7? (a) w (b) -3\/7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 12. Let k(u) = u + 13. Let m(f) = 4*f + 56. Let b(h) = 9*k(h) - 2*m(h). Is b(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 4 - 2*(-1 + sqrt(3))) + (sqrt(12) + -1*(sqrt(48) + sqrt(12) - sqrt(12)))\/sqrt(4)*-1.\nAnswer: 6 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1290 and 95\/5762?\nAnswer: 86430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3\/3 + 62*x**2\/3 + 124*x - 336 = 0.\nAnswer: -21, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63018, -117763, -172510, -227259, -282010, -336763?\n\"Answer: -s**2 - 54742*s - 8275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4158 is divided by 181?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -3 - 0) + -15\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -136.45 and 4?\nAnswer: 140.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*4\/((-252)\/105)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-56)\/(-112))\/97\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v**3 - 4*v + 63*v**2 - v - 65*v**2 - v**3 to the form d*v**2 + m + c*v**3 + w*v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -123 - 177. Suppose -23*h + 26*h = -i + 48, -3*h = 4*i - 282. What is the lowest common multiple of j and i?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 193, 389, 593, 805?\n\"Answer: 4*k**2 + 184*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o\/o**0)\/o))**(6\/11)*((o*o*(o\/(o*o**(-1\/2)))\/o)\/o)**(2\/39))\/((o\/(o**(-1)\/o))**43\/(o**(-2\/9))**(-16\/3)) assuming o is positive.\nAnswer: o**(-44854\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7622 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24ed8 (base 16) to base 12\nAnswer: -73648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-20)*k*k*k**2*k)\/(k**(-8)*k**(-24)) assuming k is positive.\nAnswer: k**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 17*z**2 + z - 13. Let v be s(17). Suppose v*u - l - 131 = 0, -u - l + 11 = -28. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 + -11575?\nAnswer: -11540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d - 43*d = -56. Let c be 104\/(-40) - (-3)\/5. Let h = -1 + c. Sort 2, h, d in decreasing order.\nAnswer: 2, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15174615 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20120314 (base 7) to base 6.\nAnswer: 55434101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 - 4 = -8*k. Let b(i) = -7 - i + k - 4 - 4*i**2. What is b(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i. Let r(x) = 4497*x**2 + 126*x. Calculate r(a(b)).\nAnswer: 544137*b**2 - 1386*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 597.1288 to the nearest 10.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1453, -1450, -1447, -1444, -1441, -1438?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppttpppppt. What is prob of sequence pt?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 31. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**4\/78 + 2*o**3\/39 - 3*o**2\/13 - 26*o. Factor z(u).\nAnswer: 2*(u - 1)*(u + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334 - 13440?\nAnswer: -13101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 14. Let t = r - 6. What is the closest to t in 5, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 12:45 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 28511286\nAnswer: -5\/28511286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1482 - 62*t - 52*t + 2973 - 1489 + 74*t.\nAnswer: -40*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2716, -2715, -2714?\nAnswer: -2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*h - 65 = 0, 3*h = 3*b - 72 + 27. List the prime factors of (-285)\/((-34)\/b - (-9)\/45).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.4, 0.1, 623, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/2 - ((-575)\/(-50) - (-492)\/(-41))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1154078741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*a = -63*a + 30. Let g(r) = -4*r**2 + 6*r**2 + 2*r + 3 - r**3 + 8*r**2 + 1. Does 6 divide g(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 458270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46822735?\nAnswer: 5, 9364547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaiiiiiiiiiii. Give prob of sequence aii.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730868499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -9. Let u = p - -10.4. Which is the third smallest value? (a) -2 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 + -1373227\nAnswer: -1373227.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 366503805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-172)\/(-36) - (-2)\/9. Suppose -3*m + 4 + f = 0. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -889, -1880, -2871, -3862, -4853, -5844?\n\"Answer: -991*a + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 130\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 15 = 3*y, 4*y = -2*x - 22. Let d be (72\/(-14))\/((-102)\/84 + 1). Suppose 8*h = 2*h + d. Put h, x, 5 in descending order.\nAnswer: 5, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - ((0 - 4) + 5))*8\/(-108)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*99\/15)\/(62\/((-5828)\/(-141))).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -106 + -36?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1621\/160 - 1\/160. What is the common denominator of v and -15\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = -q, 4*j + 5*q - 18 = -0*j. Suppose 0*n + 5*n - 15 = 0. Suppose -4 = -j*h - 3*d, -n*h - 2*d = -h. Do -4 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-138))\/((-38)\/(-304)*11\/33*-8)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*l + 117. Suppose 0 = -x + 5*x - 12. Solve -17 = 4*r - 3*o - l, 5*o - 2 = -x*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 12:55 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 + -98. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 311 + 542. What is the highest common divisor of b and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a**3 + 3*a - 1. List the prime factors of m(-3).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83083176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 1. Let x be j(-5). Let h(u) = -3*u - x*u + 5*u - 2*u + 28. List the prime factors of h(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-318)\/(-19822)*17)\/(-9)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + -7. Let j = -5 - k. Which is the third smallest value? (a) -2\/3 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12089 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2506*s + 235747. What is g(-94)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 1630 + 1086 = 0. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7073 - 6264. What is the remainder when l is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1554?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 11 + 6)*(m**2 + m**2 - m**2) + 0*m + m**2 + 0*m as h + p*m + t*m**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**9\/120960 - q**8\/20160 + q**7\/3360 - 3*q**5\/5 + 14*q**2. Let y(b) be the third derivative of i(b). What is f in y(f) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23493.0435 to the nearest one hundred.\nAnswer: -23500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/2100 and -38\/63.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 740363 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*r + 11, -2*b + 3*r = -b - 1 - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b5ca (base 14) to base 4\nAnswer: 13221232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1363 and 11\/141?\nAnswer: 4089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-6) + (-1)\/(-3). Let t be g\/(-6) - (-363)\/(-9). What is the common denominator of 21\/11 and t\/33 - 3\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (72\/32)\/((-5)\/(-8160)). Suppose -4*k + g = 12. List the prime factors of k.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48105d (base 14) to base 2.\nAnswer: 1001011000111100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 2*p - 1. Suppose 5*l + z + 0*z = 7, 3*l - 21 = 5*z. Is j(l) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.133306 to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 - s**2 + s**2)*((2 + 0 - 1)*(1 - 1 + 1) + 0 + 4 - 2 - 1 + 1 - 1) + (-26*s + 54*s - 38*s)*(-4*s + s**3 + 4*s).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -23, -36?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t + 27. Let v be s(-8). Let d be (2 - v)*(-35)\/(-7). Calculate the highest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.038, -2\/31, -1\/6, 3\/7, -4\/9, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**2 - 28*y + 5. Let o(q) = 16*q**2 - 84*q + 14. Determine -17*k(x) + 6*o(x).\nAnswer: -6*x**2 - 28*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 - 674*n**2 + 677*n**2 + 0*n**4 - 3*n**4 + 3*n**4 - 2*n**4 - 3*n**4 + 0*n**4 + 2*n**4 + (3 - 1 + 0)*(0*n + 0*n - n**4).\nAnswer: -10*n**4 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.448847 seconds in days?\nAnswer: 0.0025167690625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, i: 2, o: 2, a: 2, u: 2}. What is prob of picking 1 o and 2 i?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1201021212?\nAnswer: -1201021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -4 + 1 + 7 - (-4 - -7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 3055.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 21. What is the remainder when 19 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, 10, 28, 64, 124, 214?\n\"Answer: l**3 - l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 255780 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*h - 4038 + 3597 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 - (-19 - -15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215 less than or equal to 3224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -503 + 672. Calculate the highest common divisor of g and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7308 divided by -203.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1187 or -1193?\nAnswer: -1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 359 or 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -15) + -1 + -35 + 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 1, -0.66, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 10 - 0. Suppose 0 = 4*d + 4*b, 0*b = -3*d + b + 8. Suppose 160 = d*g + z*g. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 11*z - 8 + 14*z.\nAnswer: 24*z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - 0.04. Let n(x) = 3*x**2 + 2*x + 1. Let m be n(-1). What is the second biggest value in q, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207.\nAnswer: 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 246\/3581837 or -1?\nAnswer: 246\/3581837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2564.919 millilitres to litres.\nAnswer: 2.564919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j*r*s**3 - 288*j*s + 72*r*s**3 - s**3 wrt r.\nAnswer: -3*j*s**3 + 72*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (993\/8606)\/((-21)\/4).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7))**(-1\/23)\/(u*u\/(u\/u**(-1\/3)*u*u))**(2\/121))\/(((u**(4\/7)\/u)\/u**5)\/(u*u**(5\/3)*u**(-5))) assuming u is positive.\nAnswer: u**(181457\/58443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4*f + 68, -1703*o = -1637*o - 3*f - 1260 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*i**(-3))**(-44) assuming i is positive.\nAnswer: i**(836\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 9 = -0*k. Let r be 1\/k*(1 + -4). Let f(n) = 5*n - 4. Suppose -3*t + 3 = -9. Let d(g) = g - 1. Determine r*f(w) + t*d(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by 1\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/9 + (-3 - 1438\/(-6)). Suppose 3*x = n - c, 5*x = x - 20. Suppose 3*v = -v + 5*d + n, 4*d = 4*v - 220. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -t - 4, -4*f - 11 = -4*t + 53. Let z = -9 + t. Suppose -2*u = z*u - 124. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2420565*d**2*s + 5*d*s + s + 24710 wrt d?\nAnswer: 4841130*d*s + 5*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -63, -0.004, -5, -2226?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2\/12 - 14363*r\/12 - 17935 = 0.\nAnswer: -14348, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1. Let y(j) = 9*j + 34. Let q(i) = -4*n(i) + y(i). Let b be q(0). What is the first derivative of 0 + 56*h**2 - 21*h**2 + b - 8 wrt h?\nAnswer: 70*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -843? (a) 7 (b) 4\/5 (c) -2\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/(-280)*8\/(-2))\/4)\/(506\/55).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*y = -3*y + 7, -y = u - 4. Let b(q) = -q**3 - 7*q**2 - 6*q + 1. Let a be b(-6). Solve -z + a = 0, -3*k - 5 = -u*z - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7005*f*n**3 + 3*f*n - f - 68*n**3 + 1895692 with respect to n.\nAnswer: 21015*f*n**2 + 3*f - 204*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.496 - 114.496. Let w = -113.988 - 0.012. Let i = w - g. Which is smaller: i or 13\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 29*f - 10*f + 5*f + 0*f.\nAnswer: -34*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/220530 and -35\/176424?\nAnswer: 882120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 12.0868, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/735 or 0?\nAnswer: 1\/735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-4)\/(3 + 1). Let q(o) = -o**3 - o**2 + 4*o - 1. What is the units digit of q(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -21. Let q = y - 0. Solve 18 = q*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k. Let s(v) = -26*v**2 + 260*v. Let r(h) = -2*h. Let g(z) = 130*r(z) + s(z). Give c(g(f)).\nAnswer: 52*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9685 or -9750?\nAnswer: -9685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + l**2 + 16*l - 10. Let s be h(4). Suppose -3*t + t = 0. Suppose t = -2*r - 3*r + 75. Calculate the greatest common factor of r and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 10:49 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*v + 1806 - 1806.\nAnswer: 61*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -6 and 34 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l. Let c be ((-26)\/(-91))\/((-1)\/7). Let h be c\/(16\/(-12) - (-4)\/6). Let g(k) = -k + 2*k - k - h*k. Determine g(f(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o, 2*g - 15 = -3*g + o. Let y(d) = -d**2 + 6*d - 7. Let m be y(g). What is the second derivative of 20*i**4 - 13*i**4 + i + 3*i + m*i wrt i?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -115450, -230954, -346458?\n\"Answer: -115504*m + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) 7 (c) 668.258 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b + 40 = -35*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13815 and 276300.\nAnswer: 276300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -25*x. Let s(g) = 10725*g. What is 780*k(f) + 3*s(f)?\nAnswer: 12675*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35271, -70532, -105791, -141048, -176303?\nAnswer: -211556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -85436.009 and 5?\nAnswer: -427180.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 290418 - -4?\nAnswer: 290421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163.72 + 0.72. Let w = s - -206. Which is greater: 1\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.1. Let k = 0 + y. Let m = -26 + 53\/2. Which is the second smallest value? (a) -1 (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40396553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3 + 9887022*k - 8352414 with respect to k.\nAnswer: 3*k**2 + 9887022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12996 + -0.02996. Put 1, d, 3, 7, -2\/5 in increasing order.\nAnswer: -2\/5, d, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402177 (base 14) to base 5\nAnswer: 1023011320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:16 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j - 7*j + 2*j + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 3*g**2 - 2*g - 3. Let q be o(-3). Suppose q = 3*j - 6. Suppose 2 = j*z - 4. Solve 0 = -5*i - 4*c - 0*c + 15, z*c - 5 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -31. Suppose r - 2*j - u = 0, 5*r - j = 2*j + 105. Let v = r + -12. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -145 + 300?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*q**3 - 32*q - 36*q + 109*q + 30*q**3 - 41*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 61. Let l = c + 116. Is 26 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 - -92. Which is the third biggest value? (a) -4\/13 (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3519168?\nAnswer: 2, 3, 18329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) + 4\/(-6). Let d(j) = -j**3 + 6*j**2 + 7*j - 3. Let x be d(5). Suppose i + m*i + 2*w = 30, 2*i + w - x = 0. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4700 and 2200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddiidipidip. What is prob of sequence idid?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 6)*(0 + -1). Let a(y) = -4*y + 16 + n*y + 4*y - 6*y. Let g be a(14). Let s(h) = h**2 - 3*h + 2. Calculate s(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 1\/3*j**3 + 0*j + 0*j**2 + 9. Let q(l) be the second derivative of 3*l**4 + l. Calculate q(h(n)).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6) + 3 - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 4 (b) -5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4037.\nAnswer: 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 3:22 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 + 177 + 209*h**3 + 34*h**3 + 58*h**3.\nAnswer: 301*h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 5*a**2 - 46*a + 1. Let s be i(9). Let b be 4\/2*75 + -1. Let m = s + b. What is the lowest common multiple of m and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvsvsqsviissmqsm. What is prob of sequence iv?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -83.7. Let m = 6.3 + f. Is -0.1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856 = -350*r + 732 - 188 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14683628257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3598 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/24 - h**3 - 20*h**2. Let g(l) = l - 7. Determine -4*g(c) + 5*q(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.45222 and -6092.\nAnswer: 2754.92424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2)\/d)**26\/((d*d*d\/d**(-11)*d*d)\/(d\/(d\/(d*(d**(-1\/4)\/d)\/d)*d*d))))**(-47) assuming d is positive.\nAnswer: d**(10951\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 369.011554 - 0.041554. Let v = w - 369. Round v to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4 = -5. Solve -v*s + 1 = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01 and 0.45689094.\nAnswer: 0.46689094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/36366 and 13\/1798.\nAnswer: 1127346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - 45) + 13 + 91?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*q + 49*q - 1050 = -2377 - 8716 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + 0*j**2 + 2*j**2 + (-5*j + 10*j - 4*j)*(16 - 16 - 14*j)*(-2 + 6 - 2)*(-5 - 2 + 3).\nAnswer: 111*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -87*u + 24. Let i be w(4). Let g = -59 - i. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.711, 644, -9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 410 = 2*j. Suppose -5*l + 7 = j. Let y be (-14 - l)\/((-1)\/(-2)). Solve -y*x = 10, 4 + 2 = 4*s - 2*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 21. Let z(n) = n + 2. Let i be z(g). Suppose 0 = -16*x + i*x + 474. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + ((2 - 0) + -5 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 1194 = -924. Suppose -2*w = -j + 271 + q, w = 5*j - 3156. List the prime factors of j.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63952 - 38117. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let j be h(-3). Let r be (2 + 0)*(-9)\/6. Let y be 2\/4 + 5 + r. Which is the closest to 0? (a) y (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 4*c + 18. Suppose -2*g + 22 = -0. What is the highest common factor of g and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*a)*(-2*a - 79*a**3 + 70*a**3 + 2 + 0).\nAnswer: 27*a**4 + 6*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264239.6cm in kilometers?\nAnswer: 2.642396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4 - 17661*b**3 + 387510*b**2 - 2463900*b + 3519000 = 0. What is b?\nAnswer: 2, 10, 5865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6585873.\nAnswer: 3, 7, 313613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5460 divided by -26\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(34) - (sqrt(34) - sqrt(136)\/sqrt(4))) + 2*sqrt(136)\/sqrt(4))\/(sqrt(8)\/(sqrt(4) + (sqrt(400) - (sqrt(400) + 2*sqrt(400) + sqrt(400))))).\nAnswer: -232*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.7509 from 106307.\nAnswer: 106308.7509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.92 - -30.08. Let g = n - 34. What is the closest to 3 in 0.1, -2\/9, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 112.6399?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 266307007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmnzwvz. Give prob of picking 1 n, 1 c, and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 871*j + 31658. Calculate a(-33).\nAnswer: 2915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -37*z + 78. Calculate q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 8*c**2 - 13*c + 5. Let t be q(-7). Let n = t + -881\/6. What is the common denominator of n and -1\/63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 4*z = 4, 0 = -139*y + 136*y + 2*z + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 18 + -4 - (51 + 2) - (67 - 72)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 2*d**2 - 3*d. Let c be n(-2). Suppose 3*t = 5*l + 70, -2*t - 2*l = -42 + c. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265702 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 94981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p*p*p**(-1))\/p)\/p)\/p)**(-2\/29)\/(p**(2\/11)\/p**(1\/10)) assuming p is positive.\nAnswer: p**(-41\/3190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11031100 (base 4) to base 5\nAnswer: 1140303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 - -3244122?\nAnswer: 3244002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, u: 1, s: 2, g: 6}. What is prob of sequence ws?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (476\/(-8))\/17*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 10*b**2 + b + 7. Let o be z(-10). Round o to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12033 - 10030?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 1768 = -6*q. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 777253 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27180)\/(-27)*105\/10. Round j to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(30\/(-2)))\/(11\/(-66))*4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -35*q**4 - 218*q**3\/3 + 7. What is the third derivative of p(b) wrt b?\nAnswer: -840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -18, 4\/3, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101011 - 100000100100101?\nAnswer: -11111000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 3 - (1 + -3). Let d = 2 - 5. Sort b, -5, d in increasing order.\nAnswer: -5, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 0 - 7 + 18*i**3.\nAnswer: 18*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -8 + 2. Do -0.07 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-16)\/42*9\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6900.44 * -10.4.\nAnswer: 71764.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.4, -714, 4, 12, -8\/5 in descending order.\nAnswer: 12, 4, 0.4, -1\/6, -8\/5, -714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*c**3 - 63*c**2 + 135*c + 75.\nAnswer: -3*(c - 1)*(7*c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-48) - 127281\/(-8816).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 365*v**2 + 219*v + 1579. Is s(-7) a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 901*q + 5829. Let m be l(0). Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/325*310)\/((-6)\/(-405)*-9)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -10, -5*o + 467 - 67 = 3*f. What is the remainder when o is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.13 + 0.13. Let f = -4.977 - a. Let y = f + 0.013. Round y to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = -12. Solve u = i - 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**2 + 0*t**2 + 2*t**2 + 2*t**2 - 2 + 2 - 36*t**2 - 67*t**2 + 3*t**2 + (-2*t + 3*t + 0*t)*(4 - 2*t - 4))*(3*t - 2*t - 2*t).\nAnswer: 105*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(220)\/(sqrt(4) - sqrt(4)*-2) + sqrt(55))*-5)\/((sqrt(180) + (3*sqrt(180) - sqrt(180)))*-2).\nAnswer: -25*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 2*c**2 - 3*c - 3. Let k be x(-2). Suppose -v + k + 1 = 0. What is the least common multiple of v and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*k + 7*k = -58, -5*k - 75 = -5*b. Suppose -b*g = -14*g. Suppose -5*o = -5*d, -3*o + 4*d - 1 = 3. Solve -4*u - o = -g*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3)**44*t**(2\/5)*t\/t**(1\/4) assuming t is positive.\nAnswer: t**(2663\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:07 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 2*b**2 - 870*b - 127*b in the form c*b + s*b**2 + i and give c.\nAnswer: -997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3392.124l to millilitres.\nAnswer: 3392124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -36*a - 4. Let f(u) = -u. Let k(c) = -10*f(c) + p(c). Is 7 a factor of k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**4 + 20*z**3 - 60*z**2 - 20*z + 56 = 0. Calculate z.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -130*y**3 + y**2 + 4*y + 3. Let g be u(-1). Calculate the greatest common divisor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61548.1 to the nearest 1000.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -1, 35, 0.38, 1.3, -11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + d + 28 = -2*d, d = 3*w - 68. Calculate the highest common divisor of w and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 69 = -5. Let x be ((-4)\/(-10))\/(m\/9480). Suppose 3*y - 4*f - 374 = 0, -f + x = 3*y + 95. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -38 - (64 + -35 + 72).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggeguelgegguegeglgug. Give prob of picking 1 u, 1 e, and 1 l.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4107 by -1369.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 10957*z**2 + 4565. Let h(n) = 5479*n**2 + 2286. Let l(p) = -7*h(p) + 3*x(p). What is the derivative of l(w) wrt w?\nAnswer: -10964*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 9*n + 15. Let d be i(7). Suppose -d*v + 54*v = 80. Calculate the highest common divisor of 40 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + 8. Let m = k + -54.9913. Round m to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 118772 = 10760. Round x to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(sqrt(1539) + sqrt(1539) + sqrt(1539) + 0 + -1*sqrt(171))**2 + 5.\nAnswer: -10943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/6 - 3*c**2 + 494*c. Let a(s) = -5*s**2. Determine a(y(t)).\nAnswer: -20*t**4 + 120*t**2 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, 7, 91, 175?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 30 = 3*n, 4 = -2*t - 5*n - 51. Suppose 0*i - 5*i = 2*y + 25, y + 15 = -3*i. Let q = y - t. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/25)\/w)\/w**(5\/11))\/(w**24*w**2))**(1\/3) assuming w is positive.\nAnswer: w**(-2524\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 - 6*n**3)*(2 - n**2 + 14*n**2 + n - 12*n**2).\nAnswer: -6*n**5 - 6*n**4 - 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - y - 118, 0 = 2*p + 3*y - y - 76. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 divided by -12\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603713.\nAnswer: 3, 534571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114030032 - 0?\nAnswer: -114030032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 11470 - 1958 = 0. What are the prime factors of w?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187 - 212 - (-3 - -2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27 + -7 - (-3 - -2). Suppose 13 = 3*v - r - 4, 5*v + 2*r = u. Solve 20 = n - v*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*i - 15, 3*i = -2*o - i + 22. Let g = 0.15 - 0.05. Which is the nearest to g? (a) -3 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3092 - 3028. What is the smallest common multiple of 54 and c?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 86448834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5*k - 25 - 12, -3*a - 3*k + 24 = 0. Suppose b = a*b - 14. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3, 1, -46\/17, 74\/7, -0.1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110400 is divided by 124.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0, 48, 3, 21, -2, -4 in ascending order.\nAnswer: -4, -2, 0, 3, 20, 21, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 20. Suppose -60*n = -5*z - 57*n + 49, n = -3. Let j be a(z). Solve 0 = 5*r - r + j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -309*j + 716 + 315*j - 716. Let n(v) = -81*v + 2. What is p(n(g))?\nAnswer: -486*g + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11965807.5 rounded to the nearest one thousand?\nAnswer: -11966000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * 9.19\nAnswer: 21.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*q**3 + 9*q**3 + 27*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 70. Find the common denominator of l(31) and -83\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/1677)\/((-1)\/1). Let f = l + 121\/516. Which is the nearest to 1\/7? (a) -4\/3 (b) -2\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 59, -11, -6, -5 in descending order.\nAnswer: 59, 4, 2, -5, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1044171, 0.04, -8 in descending order.\nAnswer: 1044171, 0.04, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**3 - l. Let i be s(1). What is the third derivative of -3*q**4 - 5*q**i + 86*q - 86*q - q**4 wrt q?\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -166, -278, -410, -562, -734?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3616 from -698098.\nAnswer: -701714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 14*x - 3*x + x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 529 + 3011 = 0. What is i rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*a + 2*h, -4*a + 7*h = 2*h + 16. Let m = a + 2. Suppose -15 = -2*p - m*p. Solve p*k = -2*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4230 by -6.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) 0.25 (c) -4 (d) 2 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u - 30 = -7*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a = 25*a + 246 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u = 104 + 526. Find the common denominator of 29\/(1131\/130)*u\/8 and (18 + -2)\/(7\/1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*l - 5352 - 43761, -3*l + 24561 = 2*a. Let g = a + -4379. Round g to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3985 or -3868?\nAnswer: -3985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u - 3*u + 6 + 1 - 2 + 3. Determine s(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1179967\/18 + -65552. Calculate the common denominator of (-5)\/(-28)*(-14)\/(-36) and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*(sqrt(208) - (sqrt(208) - (-2*sqrt(208) - sqrt(208)) - sqrt(208))) + -5))**2 - (3*sqrt(104)*-6)\/(-3*sqrt(1152) - sqrt(1152)).\nAnswer: -1923*sqrt(13)\/8 + 7513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17466 - 0.175. What is f rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffj when three letters picked without replacement from {c: 3, j: 1, f: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b926 + 2a?\nAnswer: -b8eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a day?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -0.4, 0.7, -11, -2\/59, -4 in descending order.\nAnswer: 110, 0.7, -2\/59, -0.4, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q + 20 = 0. Let c(p) be the first derivative of p**3\/3 + 5*p**2\/2 + 4*p - 2. Determine c(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faiqfmr. Give prob of sequence fm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*d + 322*d - 2 = 106. Suppose 2*l + 142 = 3*r, 4*l = -3*r + 2*l + 158. Determine q, given that 106*q**5 - 57*q**5 - r*q**5 - q**d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 6, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m + 38. Suppose -10 = -a - 2. Let h be f(a). Let q be 1*8\/12 + (-4)\/h. Solve 23 = 5*b - v, q*v - 3 = -b + v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 1. Let j(k) = 8*k**2 - 8*k + 7. Let c(y) = 7*y**2 - 7*y + 6. Let b be 4\/(-18) - (-52)\/(-9). Let f(i) = b*j(i) + 7*c(i). Give 2*f(m) + v(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 2\/11, -0.02, 1\/17 in ascending order.\nAnswer: -3\/5, -0.02, 1\/17, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/3375139 less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + (18 - ((-3 - 13) + 50 + -23)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5927708569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*h = -290*h - 553 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104619 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -1 + 4. Let c be (y\/2)\/((-1)\/14). Suppose l = 0, c*l = 3*b + 3*l - 96. Calculate the remainder when b is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}