diff --git "a/data/dm_maths/full_data/2367_11255.jsonl" "b/data/dm_maths/full_data/2367_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2367_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate 324 divided by -6.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*k + 11 - 60*k**2 - 4 + 13 + 65*k**2 = 0. Calculate k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 27*o + 15. Let c(m) = -7*m - 4. Let y = -70 - -74. Give y*k(j) + 15*c(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -296 + 682. What is the remainder when l is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.984 + 0.016. What is the closest to d in -0.03, 3, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 7 = 3*g. Calculate the remainder when -3 + g\/(35\/(-500)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/9 - 209*(-3 - -2). Suppose -3*z - u = -z - s, -4*u - 428 = -4*z. What are the prime factors of z?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 388*g**2 - 4844*g - 16268.\nAnswer: -4*(g + 7)**2*(g + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 33758856 divided by 4248\nAnswer: 7947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104788?\nAnswer: 2, 17, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/(-11))\/(7\/(-77)) - 33402\/(-2) is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c61d + dbd?\nAnswer: d5dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1080 is divided by 155.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 160 = -5*o, 19902*o - i = 19907*o - 160 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -3305064\nAnswer: 1\/826266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 1, m: 1, u: 3}. Give prob of sequence num.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.087723 rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x. Let g(o) = o. Let q = -3 - 5. Let w(j) = -3*j. Let z(r) = q*g(r) - 3*w(r). Determine z(a(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-6*w**5 + w**5 + 2*w**5) + 0*w**5 + 2*w**5 - w**5.\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3740 (base 10) in base 16?\nAnswer: e9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 2, u: 1, d: 1, i: 4, w: 4}. Give prob of sequence kid.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 110 = 3*x + 2*x, -2*i = x - 13. Solve -p - 5*k = x, k = 3*p - 3*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 166.89638 days?\nAnswer: 23.84234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 12*v - 33. Let b be h(6). Factor 6*i**3 - 4*i**2 - 16*i - 2*i**b + 16*i.\nAnswer: 4*i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/5 - 12*q\/5 + 9\/5.\nAnswer: 3*(q - 3)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/29, -3075, 16 in increasing order.\nAnswer: -3075, 1\/29, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -17209576.2 to the nearest 1000.\nAnswer: -17210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*b + 5*w, 3*b + 5*w = 2*b - 12. Factor -1 + 3*i**2 + b*i + 9 - 2 + i.\nAnswer: 3*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150816 and 5076?\nAnswer: 63795168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (-5)\/(-2))*-10. Let s = -0.05 + 4.05. What is the closest to 1 in s, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 20502.\nAnswer: 10\/10251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-2 - -3) - 2 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/406791340 and 69\/6560.\nAnswer: 3254330720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 27. Let r be d(8). Solve 0*t + r = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6) + 0 + (-2 - -5) + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406 is divided by 100.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 97*t**2. Let n(j) = -j**2 - 18. Give x(n(u)).\nAnswer: 97*u**4 + 3492*u**2 + 31428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4155? (a) 0.2 (b) -3\/7 (c) -1 (d) -3\/4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29642 - 326064\/11. Is u >= -800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3*w**4 + 294*m**3 - m**2 + 253*w**4 wrt w.\nAnswer: 4*m**3*w**3 + 1012*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*z - 35*z - 40*z)*(0 + 0 + 2*z).\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -903*i**6\/40 - i**4\/24 - 776*i**3 - 41*i**2 - i + 7. Differentiate o(r) with respect to r.\nAnswer: -8127*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 60 (c) 0.1 (d) 0.2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 17 = -g, 0 = -4*g + 4 - 0. What is the remainder when -7 + (-7700)\/(-63) + (-2)\/i is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-840)\/52 + 6 + 4 - -6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7513561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 - 9 = 0. Let i = s + 1. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -611*c**4\/24 - 3*c**3 - 79*c**2. List the prime factors of y(-1).\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3 - 2 + 4 - p - 11. Suppose -q = 8 - 1. Calculate k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18302 + -695579\/38. Find the common denominator of 95\/16 and k.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -266 + 1063\/4. Let p = 6.4 + -2.4. Which is the second smallest value? (a) -5\/8 (b) -5 (c) x (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 3. Let q be v(3). Suppose 5*i = f - 13, -q = i - 4*i - 4*f. Let r be (-27)\/84 - 1\/4. Which is bigger: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 17 - 10 = 0. Solve k = 4*f - 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-14))\/(56\/(-196)). Suppose 4*s - 33 - 14 = q, q = w*s - 25. Solve -3*k - s = 4*p, -4*p - 25 = -5*k - 2*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, v: 2, o: 2, m: 4}. Give prob of picking 1 o and 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/30 + (-3753624)\/(-360) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 15*z**3 + 2*z**2 - 6*z - 6. Let t be x(-4). Let n = t - -1771\/2. Calculate the common denominator of n and (-15)\/((-12555)\/(-261))*(-30)\/20.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/(2976\/80)*(-1716)\/(-55)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 + 9361*l\/2 - 87628321\/4.\nAnswer: -(l - 9361)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -57804*q. Let c(d) = d. Calculate v(c(h)).\nAnswer: -57804*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, 54 in descending order.\nAnswer: 54, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 5284 = -5132. Let h = 171122\/115 + d. Is h greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3386458829 to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5413 divided by 6.\nAnswer: 5413\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.224*555.\nAnswer: 124.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 145, 150, 167, 202, 261, 350?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 509761.7 litres?\nAnswer: 509761700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -2\/5, 4, 65\/4, -3?\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3351679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 6*t = -24. Which is smaller: -8 or t?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 22575811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2741 less than 106.02348877?\nAnswer: 2847.02348877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2141.49955 rounded to 1 dp?\nAnswer: -2141.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + ((-118)\/(-28))\/(-1) and 27\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*h + 80 = 5, -237 = -3*q - 3*h. Let l be 3\/(-5*15\/(-975)). What is the highest common divisor of l and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84021 and 931?\nAnswer: 11174793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45547 and 35927.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -567 + 578. Solve -9 = -4*h + w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -467508, -1870273, -4208300, -7481589, -11690140?\n\"Answer: -467631*i**2 + 128*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-6*1*(sqrt(3) + 0) - (sqrt(300)*2 + sqrt(3) + sqrt(243) + -1)))**2.\nAnswer: -72*sqrt(3) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4806126 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**3 + 9*g**2 + 5. Let s(v) be the second derivative of -v**5\/4 - v**4\/3 - v**2 + 349*v. Determine -5*s(l) - 2*y(l).\nAnswer: 5*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t - 174. Let i be b(-38). Suppose -i*d - 8 = -19*d + q, 0 = 2*d + 2*q. Sort d, 1, -26 in decreasing order.\nAnswer: d, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 16 = 3*x, 4*x - 2*u + 1 + 1 = 0. Suppose -3*a + x*m + 6 + 15 = 0, -4*a - 5*m + 5 = 0. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*q - 5 - 42*q - 18*q**3 - 12*q**4 + 8 - 29*q as k*q**2 + p*q + a*q**4 + n*q**3 + g and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-3 - (-2 - 6)) - 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 356 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (259\/148)\/((-2)\/(-80)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 6*j + 12. Solve 3*y = 4 + j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27542, -27546, -27564, -27602, -27666, -27762?\nAnswer: -27896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 + q - 8. Let f(a) = a**3 - 18*a**2 - 2*a + 33. Let j be f(18). Let m be d(j). Solve -27*z + m*z = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((15\/6)\/1*6\/(-70))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 844 and -16557.\nAnswer: -13974108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 440 + -437. Suppose x + a*z - 13 = 0, -6*x + 4*x = -5*z - 70. Solve 19*s - 14*s = -x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -10 - ((-9)\/6)\/((-6)\/12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22810000 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 12:14 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -197, -4, 4, -2 in decreasing order.\nAnswer: 4, -1, -2, -4, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -63\/4, 1.42, -2\/3, 0.3?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-20)\/(w*w\/w**1)*w**18*w**15 assuming w is positive.\nAnswer: w**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 + 136. Let z(c) be the third derivative of h*c**3 + 0*c + 0 - 3*c**2 - 1\/30*c**5 - 1\/8*c**4. What is the second derivative of z(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 6*a - 5*a - 27, -15 - 12 = 3*a + 3*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 greater than or equal to 11.0366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times -0.4\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12742735?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/8 + 1030035*g\/4 + 30900825\/8 = 0. Calculate g.\nAnswer: -2060055, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1) + 1)\/(16\/12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-7 + 2 - 17\/(-68)*-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*l = -31, -5*f + 47 = -3*l + 174. Let x = f + 31. Calculate the remainder when ((-121)\/(-22))\/(2\/x) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 2*c + 0*c)*(2*c**2 + 2*c - 2*c) + c**3 + c**3 - c**3 + 3*c**3 + c**3 + 2*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2 = -4*g, 56*z = 5*g + 58*z - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57207 rounded to 2 dps?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z. Solve z = -4*f - 0*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28283*y = -2*z - 28280*y + 49, z + 73 = -5*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5774 - -4360. Calculate the highest common divisor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -842*a + 834*a + 5408 = 0. Let w = a + -377. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 34. Let o = -6.5 + -18.5. Let z = -21 - o. What is the fourth biggest value in -2, z, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 9 = -3. Let g(m) = 5*m**2 - 4*m - 3. Does 9 divide g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*v**2 + 1611*i**2*v + 2*i**2 - 8*i*v**2 - 9999*v**2 wrt i?\nAnswer: -4*v**2 + 3222*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -129, 3 in ascending order.\nAnswer: -129, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1602?\nAnswer: 6408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17552446*p**2 + 17552446*p**2 - 272*p**3.\nAnswer: -272*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 smaller than -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5010969107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 494573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 - 10 - 10 + 20.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -0.4029?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**6*t + 1736*c**4*t**2 - c**2*t**2 + 5*c**2*t - 4*c*t**2 wrt c?\nAnswer: -240*c**3*t + 41664*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.225056 centimeters to kilometers.\nAnswer: 0.00003225056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 11 = 2*t, 32*t - 28*t = 36*u - 35*u + 45 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39653689 is divided by 3687?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 73 and -824.\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 39*z + 14*z + 21*z as y + m*z**2 + c*z and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5 + 2 + 14*x + 1 - 11*x + 3*x. Let l(w) = -9*w + 3. Determine -7*i(u) - 5*l(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevvvvveeeeeveeveve. What is prob of sequence eee?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 10*f**2 - 12*f - 11. Let k be t(-11). Let a(x) = k*x + 8*x + 0*x. Let c(h) = -h**2. Give c(a(o)).\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 2*q + 4)*(-2 + 1 + 2)*(-6 - 1 - 9).\nAnswer: -32*q + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(5) - (sqrt(245) + sqrt(245) + sqrt(245)*-3)**2).\nAnswer: -244 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, b: 5, x: 5}. What is prob of picking 1 x and 2 z?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**5*k))**(2\/109) assuming k is positive.\nAnswer: k**(-10\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2\/17 - 1050*i\/17 + 1964 = 0.\nAnswer: 34, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -18. Let x(k) = 5*k + 80. What is the units digit of x(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**5*x**3 - 35008*f**3*x**3 - 8*f**2*x**2 - 8*f**2 + 115*f*x**2 - 4*x**3 - 2 wrt f?\nAnswer: 240*f**2*x**3 - 210048*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssa when three letters picked without replacement from {a: 6, s: 4, r: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**2 + 78*j**2 - 272*j**5 + 98*j + 166*j + 270*j**5 wrt j?\nAnswer: -40*j**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + t**4 - 2*t**4 + (2 + 2 - 6)*(4*t**4 - 3*t**4 + 5*t**4) - 2*t - 2*t**4 + 2*t + (-t - t - 2*t)*(0 + t**3 + 0) - 3*t**4 - t**4 + 6*t**4.\nAnswer: -19*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 0.5980108.\nAnswer: 0.0980108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 8:05 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 6)\/(99\/51 + -2). Suppose j*d = 6*d + 44. Factor 4\/7*u**3 + 2\/7*u**2 + 0*u + 2\/7*u**d + 0.\nAnswer: 2*u**2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 93) + 3*1. Let w(g) = 4*g**3 + 6*g**2 - 5*g - 5. Let q be w(3). Let r = x + q. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/6 + 0)\/((-79)\/474). Suppose -n = -c*v + 3*v + 15, 0 = -4*n + v - 15. Let i = 11 + -16. Sort n, 4, -4, i.\nAnswer: i, -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from mmmmfmmmmmmmmfaammma.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 141, 174, 225, 300?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 374, 390, 406, 422?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435387015.\nAnswer: 5, 47, 389, 26641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**3 + 4*m**2 + 2*m - 10. Let w(k) = -1467 - 2*k**3 - 36*k**2 + 3*k**3 + 35*k**2 + 1468. Determine n(d) + 2*w(d).\nAnswer: -2*d**3 + 2*d**2 + 2*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 2, s: 10, q: 3}. Give prob of sequence ws.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -316, -551931, -4 in descending order.\nAnswer: -4, -316, -551931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 24*m - 25*m + 10701 = 0, 3*m + 8007 = 3*u. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*t + 21. Suppose 0 = -2*v + 12 + t. What is the remainder when 34 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.9. Let u = 77.239 - 73.239. What is the closest to 2\/7 in u, -0.04, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 649922, -2 in descending order.\nAnswer: 649922, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((a - 3 + 3)*(2*a - a - 4*a) - 17 + 17 + 6*a**2)*(-2*a + 3*a - 3*a) to the form g*a + f*a**3 + c*a**2 + r and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 825975 and 2025.\nAnswer: 7433775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1403 = s, -1 = -s - 6. Let f be 2\/9 - l\/(-9). Let o = -228 - f. Round o to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -145\/6. Let f = 15868 + -79588\/5. Let t = 50 + f. What is the smallest value in t, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60217 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((64\/28)\/(-4))\/(20\/(-28))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30196.8 and -1.\nAnswer: -30196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43, -52, -57, -58?\n\"Answer: 2*h**2 - 15*h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54522706*j + 5970495.\nAnswer: -54522706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 29 - 25. Suppose 0 = m*l - 25*l + 256. What is the remainder when 70 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375 plus -311?\nAnswer: 2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339905803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8991*y**2 - 22*y + 24 wrt y?\nAnswer: 17982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 2 - 0 - -2. Let c(s) = -5*s**2 + 149*s + 48. Let t be c(30). Suppose -n*o + t = o. Solve -3 = -3*k + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 y when four letters picked without replacement from vvyyyvvvyvvy.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 20. Suppose -51 = 7*j + 10*j. Let o(f) = 1. Let d(m) = j*o(m) - t(m). Give d(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -789.43 * -1.611.\nAnswer: 1271.77173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 3. Let s(b) = -7*b - 112. Give -3*c(p) + s(p).\nAnswer: -p - 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 254015 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 573689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + x + 2*x. Let h(f) be the first derivative of f**2\/2 + 7. Give h(u(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 26. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/102009 and -25\/65046?\nAnswer: 59777274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 20. Solve 2*o - 5*z + j = 0, o - z = 4*z - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, i: 2, g: 1}. What is prob of picking 2 k and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*p - 95*p - 424. Solve -10*y + p = 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**3\/3 + 5*q**2\/2 - 2*q - 2161. Let k be (-1)\/4*2*0. Let w = k + 3. Determine c(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325418939 to the power of 1\/2, to the nearest integer?\nAnswer: 18039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 44\/12)*3. Let g = i - 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7047 = -8*d - 24903. Let u = d + 3259. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1928, -5 in increasing order.\nAnswer: -1928, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 51, 0, -1, 12, 11\/4.\nAnswer: -1, 0, 11\/4, 12, 15, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-28) - 354\/(-14). Suppose u - g = -4*s, -3*u - s = 2*s - 57. What is the remainder when 33 is divided by u\/(-2*(-3)\/6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 11224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 29*m + 40 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -299\/15840 + 5\/288. Calculate the common denominator of -139\/540 and m.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 - (32 - 24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5 = 3*u. Suppose 58*j = 66*j - 88. Let l = u + j. Solve 2*a = 7*a - l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + z**2 - 2*z**3 + 1 + z + z**3 - 3*z. Let n = 1043 + -961. What is the least common multiple of n and o(-1)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 + 3*m + 109 - 341 + 120.\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128956056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3177504 by 72216.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -11*v**6\/3 - 14*v**5 - 39*v**4\/2 - 34*v**3\/3 - 2*v**2 - 6. Factor k(t).\nAnswer: -2*t*(t + 1)**3*(11*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -7*j + 1\/9*j**3 - 2\/9*j**2 - 1\/54*j**4 + 0. Let p(g) = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 15*j**2 + 56*j - 42. Let q be r(18). Let c(u) = -u**2 - 6*u - 2. Give c(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 12\/20*-5. Find a, given that 3*a**2 + 5*a**2 + 0*a**2 + a**2 + 5041 + 142*a - 8*a**x = 0.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*s = 0, -40*s = -3*m + 3*m - 42*s - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**5 - 270*w**2 - 51*w + 8 wrt w?\nAnswer: 40*w**3 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p + 1. Calculate b(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 2452?\nAnswer: -2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5984 and 22304.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.089 - -0.09. Let b = y + -0.00100023. Round b to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j = -2*v - 30*j - 36, -3*v - 50 = 7*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*s - 620, -370 = 20*h - 23*h - 2*s. Calculate the remainder when h is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*x + 10, x = 4*k - 0*k - 6. Suppose d = -4*d. Suppose 6*v - 3*v = d. Solve x*u = -2 - v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 632287777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-631)\/(-30) + 2\/(-10) and -73\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 720255 and 465.\nAnswer: 22327905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10250 is divided by 90.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 2:40 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**7\/1260 + r**6\/270 + r**5\/180 - 5*r**3\/3 + 16*r**2. Let w(s) be the first derivative of x(s). Find i, given that w(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*t**2 + 44*t**2 - 89*t**2 + 45*t**3 + 131*t**3.\nAnswer: 176*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75279236 a multiple of 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(18)\/sqrt(3)) + -4*1*sqrt(13) + (sqrt(13) + sqrt(26)\/(-1*sqrt(2)) - -1*sqrt(1872)).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52917 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**3 + 6*k**3 - 10 + 3*k - 3*k in the form x + h*k**3 + m*k**2 + g*k and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 128*d - 24. Give a(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7527*h + 390385 + 527586 = 127636 for h.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*m - 2999 = -h, -2*m = -3*h + 2245. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 164 (b) -0.1 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1957\/270 - -7\/135. Calculate the common denominator of c and 131\/276.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*n - 39 = 2*n, -2*n + 56 = -3*a - n + 78 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yppbttt. What is prob of sequence pp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -77512299300 to the nearest one million.\nAnswer: -77512000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*s**3 - 278*i**3*s**2 + 2*i**3*s - 18*i**2*s**3 - 30*s wrt i?\nAnswer: 12*s**3 - 1668*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7933 + -11.7933. What is the fourth biggest value in 0.2, 1, -6, m, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**4 + 2*j - 7*j**4 - 3*j)*(10*j + 0*j + 3*j) + j**2 + 2*j**5 - j**2 - 6*j**5 - 9*j**5 + 5*j**5.\nAnswer: -47*j**5 - 13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.2 (b) -23 (c) -0.06 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -273.\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797902431 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsjenegsc. What is prob of sequence sc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(288) + (sqrt(288) - (-2*sqrt(288) + -4)) + sqrt(288)) + ((sqrt(288) - (sqrt(288) + 0)) + 1 - (-3 + sqrt(288)*-2)))**2*-2.\nAnswer: -279584 - 21120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1245*i + 3235*i + 2267*i.\nAnswer: 4257*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/5 - 6432*u**2\/5 + 38052*u - 284040.\nAnswer: 4*(u - 1578)*(u - 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3 (c) 1\/4 (d) -26 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*h - 4. Suppose -f + 4*g = 3*f + 36, f + 5*g - 21 = 0. Let o(k) = -3*k - 2. Calculate the smallest common multiple of h and o(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*c - c + 33, -h = 4*c + 38. What is the remainder when c\/(-3) - (-2 + -34) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3301106 to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-12 - (6 + -9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 21425. Let b be f(0). Let z = -8425 + b. What is z rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1025 and 89\/16810?\nAnswer: 84050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 14*d + 19. Let l be k(11). Calculate the common denominator of 47\/58 and -3*(59\/l + 2).\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-20))\/(4\/2060). Suppose -296 = -4*w + 4*a, -125 - i = -3*w + 5*a. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wiw when three letters picked without replacement from {u: 2, i: 4, m: 3, w: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/5 - 32*j**3\/5 + 8*j**2\/5 + 128*j\/5 = 0. Calculate j.\nAnswer: -16, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c - 7. Let k(g) = 7*g - 14. Let j(d) = 3*k(d) - 5*l(d). Let b = 778 - 763. Let a be j(b). Solve p + 3 = a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110 - -110?\nAnswer: 10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 3*d. Let n = -543 - -539. Let s be (30\/135)\/(n\/(-72)). What is b(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*w + 21 = 0, -2*w = -3*y - 2*y + 11. Suppose -51*u + 49*u = l - 1533, y*u = -l + 2299. List the prime factors of u.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a decade in months?\nAnswer: 3420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39482*o**3 + 53042*o**3 + 0 + 0.\nAnswer: 13560*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3506645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -7*v**5\/300 - 37*v**4\/120 - v**3\/3 - 82*v**2 - 153*v + 2. Let d(h) be the first derivative of u(h). Factor d(g).\nAnswer: -(g + 5)*(7*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1127245, 4508986, 10145217, 18035938, 28181149?\n\"Answer: 1127245*d**2 + 6*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1376529880 to the nearest 1000000.\nAnswer: 1377000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 836410 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**2. Let t(i) = 2*i - 5*i - i + i. Calculate t(w(v)).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, 9, 48, 111, 204?\n\"Answer: p**3 + 3*p**2 + 5*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-8 + -19 - -14) + (1 - 0) + -45.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235100 is divided by 117543.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 4*f + 253*f**2 - 5*f + 42*f**2 + 44.\nAnswer: 295*f**2 - f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = y - 4*z - 70, 124 = 3*y + z. Let c(l) = y*l**2 - 10*l**2 - 19*l**2 - 15*l**2. Let t(j) = -2*j**2. What is t(c(p))?\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c4c4c (base 14) in base 7?\nAnswer: -16114025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 27037.4911 to the nearest one hundred.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1303113113?\nAnswer: 1303113112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14449990.\nAnswer: 2, 5, 1444999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 26 + 4*j**4 - 107*j**2 - j**3 + 112*j**2 to u*j**4 + a*j**2 + i*j + p + n*j**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 57. Suppose -5*x + 170 = -3*y, -2*x = 3*x + 5*y - 170. What is the highest common factor of o and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 805200 and 39589.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**2 + 41*w - 65. Give z(12).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*s - 64 = 5*n, 3*s = 2*n + 30. Let t be (n\/7)\/((-8)\/28). Calculate the greatest common divisor of t and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*sqrt(132)*-1)\/(sqrt(108)\/sqrt(4) + sqrt(27) + sqrt(363)*1 + sqrt(363)) + 5.\nAnswer: -3*sqrt(11)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*q = -97135, 19430 = -123*n + 124*n + 2*q. What are the prime factors of n?\nAnswer: 2, 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1584*d + 804*d + 861*d + 1982*d)*(2 - 4 + 3) as y*d + t and give y.\nAnswer: 5231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -18 (c) -12.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z. Let g(o) = -3*o**2 + 6*o**2 - o**2 - 4*o**2. Determine g(m(k)).\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (21\/(-12) - 0). Let v = -93 + 85. Sort r, -5, v in increasing order.\nAnswer: v, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 18 - (6 - (-1 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 204, 194, 176, 150, 116?\n\"Answer: -4*s**2 + 2*s + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**2 + 2*w + 1. Let p be a(2). Let c be (-1 - -57) + (40 - (100 + -39)). What is the highest common divisor of c and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317422331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7337*y. Let f(q) = 437*q**2 + 6. Give f(w(g)).\nAnswer: 23524395653*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-90) - 31\/(-155).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 82097 - 3*c - 82153.\nAnswer: -3*c - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 1\/66*a**4 + 3*a - 14\/11*a**2 + 9 - 13\/33*a**3. Factor u(o).\nAnswer: 2*(o - 14)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.604 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-435)\/70 + 6)\/((-12)\/(-72)). Which is greater: d or -41?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*1)\/sqrt(10))\/sqrt(5).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -82. List the prime factors of b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*a - 3 = 0, 13 = -3*d + 4*a + 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + (6 + 13 - 7)*(0 + 0 + 1) + 1 - 5 + 3)*((-1 + 1 + 1)*(f + 2*f - 5*f) + f + 0*f - 2*f - 1 + 10 - f + 11)*(-2*f**2 - 4 + 4).\nAnswer: 104*f**3 - 520*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -990*h**3 + 276*h**2?\nAnswer: -5940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2268 and 524853?\nAnswer: 6298236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 1, -2*f = 7*u - 2*u + 82. Suppose -5*d + 35 = 100. Let t = d - u. Solve 0*w + t = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -38515?\nAnswer: 7703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 131097098 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 33 = 4*n - 138, 0 = 5*n + 2*t - 216. Suppose 306 = 97*o - 63*o. Calculate the least common multiple of n and o.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -26*n**3 + 3*n**2 - 2828*n + 2827. Give t(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**4 - 234426*c**3 + 12888836*c**2 - 170580480*c - 183703744 = 0.\nAnswer: -1, 28, 117158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*m + 1 - 15, 3*h + 5*m = 32. Suppose 7*p + 9 = 44. What is the remainder when h is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**7\/315 - 7*a**6\/180 - 7*a**5\/45 - 2*a**4\/9 + 7*a**2 + 54*a. Solve d(r) = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332 (base 5) in base 9?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6*q + 42. Which is greater: q or 13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -274678 (base 13) to base 3\nAnswer: -1210101110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 5*m + 9. Suppose -p = -4*k + 41 + 14, -2*k + 4*p + 10 = 0. Let g = 8 - k. Is n(g) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4 + 1302*f**3 - 54705*f**2 + 53406*f = 0.\nAnswer: 0, 1, 46, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 14 = l. Let n = -5 - l. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 11*o**2 + 8*o - 10. Let j be l(-10). Suppose -29 = -j*v + 11. Which is the nearest to 1? (a) 1 (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37676970 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 88213.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -77 (c) -0.3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + 1 + (-5 - -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 1780 = -4*l. Suppose l*r = 454*r - 12789. List the prime factors of r.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 17 = 8. Let o = q + -1. Let y = 18 + o. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*i - 4397 - 382. Let a be (-5466)\/8*2\/9. Let o = i - a. Calculate the common denominator of 38 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10*v + 3. Let x(m) = -m + 1. Let u(t) = -c(t) + 3*x(t). Let s be (-2)\/(-4)*4\/2. Calculate u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a + 13*a - 5*a + 565948*a**3.\nAnswer: 565948*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 356 - -4?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*t + 34365*j + 6051*t**3 with respect to t.\nAnswer: j + 18153*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 - 49\/(-84). Which is the closest to 1? (a) s (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12755 + 11449 + 3786 = -1145*k - 38420 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*y + 4*p + 34 = 225*y - 463*y, 0 = -3*y - p - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 196\/14 + -5 + -45 - -9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/54 + 2*h**3\/27 - h**2\/3 - 2*h. What is d in l(d) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 2*i**2 - 3*i + 4. Let y be k(-3). Let l = 8 - y. Suppose 0 = -2*p, -5*p = j + l - 22. Calculate the lowest common multiple of 8 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 41511553122?\nAnswer: -41511553115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93471, -186972, -280471, -373968, -467463?\n\"Answer: q**2 - 93504*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*b - 26. Let q(j) = j**3 + 4*j**2 + 4. Let f be q(-4). Let i(z) = 6*z - 3 - f*z + z - 4*z. Calculate i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, 1 v, and 1 c when four letters picked without replacement from ccvbbvsvjb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p + 746. Suppose -2*t = -4*c - 6, 3*t = 23*c - 25*c + 9. Does 25 divide d(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**5 + 457*o**4 + 2114*o.\nAnswer: 40*o**3 + 5484*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6683312 and 7518726.\nAnswer: 60149808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1019 divided by -6.\nAnswer: 1019\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 25520*u - 25546*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -10, -34, -78, -148, -250, -390, -574?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 552961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 4 (c) -2\/17 (d) -284199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 6 = -n + b, -5*n = -2*b - 18. Let r(h) be the first derivative of -32*h**2 + 32*h**n + h**3 - 1. Let g(w) = w. Determine r(g(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 139*b - 705. Give m(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 94*i**2 - 185*i + 166. What is c(-92)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j - 0*j, 5*j = 4*f - 15. Solve f = 2*q - 4*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.2056 times -332?\nAnswer: 22312.2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.2 (b) -1\/2 (c) -2\/27 (d) -0.0153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 10 = 10*g. Let f = 0 - -10. Calculate the least common multiple of f and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = x + 8, -4*x + w = -w - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -1504, -4930, -11598, -22588, -38980, -61854, -92290?\nAnswer: -131368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 2*q + 1. Let g(y) = -23*y**3 + 2*y + 1. Let u be g(-1). Let s = u + -24. What is j(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1250 - 1250.1. Let v be (-1 - -274) + 3 + -2. Which is bigger: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5*(sqrt(65) + sqrt(65)*2) - (sqrt(65) + sqrt(65)*4)*-5)\/((1*sqrt(10)*-5)\/(sqrt(12)\/(sqrt(6) + sqrt(6)*2 - sqrt(6)))))**2.\nAnswer: -10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1764?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10500, -8564, -27628, -46692, -65756?\nAnswer: -84820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**4\/24 - 41*q**3\/6 - 83*q**2\/4 + 248*q. Factor k(v).\nAnswer: (v - 83)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6727\/6 - 3362\/3. What is the closest to 0.1 in -4, 0.8, f, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268672741.\nAnswer: 53, 5069297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61109651*x**2 - 647*x - 5252.\nAnswer: 122219302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-2)))**39*(j\/(j\/((j\/(j**(2\/7)\/j))\/j)*j)*j)**(-11\/2) assuming j is positive.\nAnswer: j**(-1147\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30465756 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-910)\/(-330) + (-4)\/6 and -33\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, h: 4, g: 2, y: 3}. Give prob of picking 2 h and 2 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10733 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 168 and -2.3.\nAnswer: 165.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -27. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and 7.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*x - 167*x = -882. Suppose 1 = -m + 3, 0 = -2*g - m + 216. Let v = x + g. Solve v - 4 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.06 (b) 0.2 (c) 27\/20 (d) -0.6 (e) 0.049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*9*-6*((-108)\/12)\/54\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 893595772 to the nearest integer?\nAnswer: 29893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45262813?\nAnswer: 79, 233, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -3, 3, -4, 1\/12.\nAnswer: -4, -3, 0.02, 1\/12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-774)\/(-99) - (-4)\/22. Solve x = 5*d + b, 0 = d - b - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14*v**3 + 23290 + 13*v**3 - 2*v**2 + 22*v - 23288 - v**2. Give u(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 3\/(2 - 1). Let s be 10\/(-14)*4\/(-10). Suppose -5*r + 8 = 4*f, -3*f + 3*r - 4*r = 5. What is the nearest to 0.1 in d, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than 697\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -4*y + 88. Let s be 0 - 4 - 14\/(1 - y). What is the tens digit of (-188)\/s - (-1 - -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92472 is divided by 30612.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3550 - 3571 + 7121 + 2198*h**3 - 2*h**2 + 3*h in the form t*h**3 + i*h + b*h**2 + r and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 take away 0.2053191?\nAnswer: -575.2053191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12*l**3 - 5*l**2 - 8. Let b(y) = -4*y**3 + 2*y**2 + 3. Let h(w) = 11*b(w) + 4*p(w). What is the units digit of h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39270)\/(-2142))\/(33\/9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -5. Let b = 5 + -10. What is the nearest to 1\/3 in y, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5) - -6*3\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 76173858?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(504) - sqrt(504)*2)*-6)\/sqrt(12))\/(4*sqrt(72)\/(sqrt(12)*-2)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-268)*12104\/1513.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66681*n**3*x**3 - 5*n**2*x**3 - 4017*n*x**3 - 55*n*x**2 + x**3 wrt n?\nAnswer: -400086*n*x**3 - 10*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*sqrt(891)*1)**2)*-1.\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + p = -0*p - 4, -3*d + 2*p + 8 = 0. Determine f, given that d + 4\/9*f + 2\/9*f**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 25, 0*p - 2*p = -q - 15. Suppose 0 = -h - 0*h + 9. What is the lowest common multiple of p and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 150*f**2 - 5*f - 7. Let i(t) = -3*t**2 + t + 1. Let k(m) = 5*i(m) + j(m). What is the first derivative of k(v) wrt v?\nAnswer: 270*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.308838103 to 4 decimal places.\nAnswer: -1.3088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -49.1, 11, -5, 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*k**4 + 7 - 28*k**4 + 16*k**4 wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + ((sqrt(5324))**2 - sqrt(44)) + -2.\nAnswer: 5322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 6) to base 14.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8955603?\nAnswer: 3, 110563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 j when four letters picked without replacement from jzzjajjajjzjjzzj.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f*f\/((f\/f**(5\/6))\/f)*f)\/f*f**12*f**(-1)*f\/((((f\/f**4)\/f)\/f)\/f)*f*f assuming f is positive.\nAnswer: f**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.9 + -4.43. Let x = -0.1 + -0.1. Let f = u + x. Round f to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 12*w**2 + 14*w.\nAnswer: -2*w*(w - 7)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-2)\/4*4). Calculate the remainder when z\/3*(-882)\/(-12) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-2))\/((-64)\/576). Let h(r) = 248*r**2 - 11*r + 22. Is h(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 1782.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g - 12. Suppose 31 = 5*x - 19. Let r(z) = z - 1. Suppose -4*v + 12 = -v. Suppose q + 5 - v = 0. Give q*a(s) + x*r(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 4. Suppose 0 = -z + o - 55, 0 = -2*z + 4*z - 4*o + 120. Is 7 a factor of ((-6)\/(-15))\/(r\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535006 is divided by 66873.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 74, 116?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7135 is divided by 5608.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -3\/4 (c) -3 (d) 0.1 (e) -83 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.182282 to 2 decimal places.\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-2)\/16*2)\/(20\/320).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 8*y**2 - 7*y + 3. Let c be p(7). Suppose 0*o + 165 = 3*o - 2*z, 5*o - 275 = c*z. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 16 - (4 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3\/3 - 70*c**2\/3 + 445*c\/3 - 190 = 0.\nAnswer: -19, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*j = -1491 - 1517 for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0 - 1\/120*r**6 + 1\/30*r**5 + 2\/3*r**3 + 3*r**2 + 1\/24*r**4 + 0*r. Let q be 2\/(-2 - (-8)\/3). Give g(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:32 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Suppose s = x - 4 - 11. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 4152263211?\nAnswer: 4152263203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12250 is divided by 4080?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a century in decades?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 16. Let y = -6 - a. What is the biggest value in -4, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:54 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.86 + 0.14. Let t = y + -9.07. Let m = t - 0.93. What is the closest to m in 2, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*f - 12*f - 280 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 95.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from talllaqlaq. What is prob of sequence ll?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023551 rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -7143190.8 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5 - 210*g**4 - 945*g**3 + 51990*g**2 + 583728*g + 1493280 = 0. What is g?\nAnswer: -61, -12, -10, -4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 5*a + d + 4508, d + 1127 = -a. Does -1129 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15 + ((-59)\/(-5) - (28 - 16))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -63?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 17 = -5*s, -3*s = -0*f - 5*f - 27. Let d(i) = i**2 + 5*i - 2. Let j be d(f). Let c = 5 + j. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbk when three letters picked without replacement from kkkkkkbkkkbkkkkkkkkk.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 7. Let j = -75 - q. Let v = -35 - j. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3 - 2*m + 10 + m. Let f be a(5). Suppose d + 9 = 3*h, h = f*d + 2*h - 3. Solve z - u + 4*u + 8 = 0, d = 3*z - 2*u - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 2*h + 67. Let s be z(0). Suppose 5*t - s + 7 = 0. Let k be (-32)\/t*3*-1. Let g(u) = u**2 - 8*u + 2. Give g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -150, -5, 63, 13, -3 in descending order.\nAnswer: 63, 13, 2, 0, -3, -5, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 48*f**2 + 2*f - 2. Let u be l(-2). Let p(c) = -13*c - 3. Let x be p(-1). Suppose x*k - u = 4*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 13*j**2 + 28*j + 1. Let d(n) = -n**3 - 12*n**2 + 26*n + 2. Let w(o) = -5*d(o) + 4*l(o). Let g be w(-12). Which is smaller: g or -365?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-138*i**2 + 263*i**2 + 794*i**2)*(3*i + 1 + 0*i - 2*i) to c + g*i**3 + z*i**2 + q*i and give z.\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, b: 6, f: 4}. What is prob of sequence obbo?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-100)\/160*9\/(-15). Let w(b) be the first derivative of 0*b + 0*b**3 + 1 + 0*b**2 - 9\/8*b**6 + u*b**4 + 21\/20*b**5. Suppose w(z) = 0. Calculate z.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450513970357.4 - 0.07.\nAnswer: -450513970357.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.1 (b) 1.7 (c) -2\/5 (d) 1\/3 (e) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -101111102020?\nAnswer: -101111102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 31\/5 of a microsecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299584.\nAnswer: 2, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -131020533 - 2?\nAnswer: -131020535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 23*i - 38. Suppose 28*m + 373 - 961 = 0. Let v be q(m). Solve -5*z - v*h - h = 15, 2*h = -z - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 62780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.3? (a) 4\/15 (b) -0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.3 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**3\/6 + 10*j. Let a(o) = 17*o. Determine a(l(s)).\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -32, -45, -62?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let z(y) = 810*y. Give l(z(p)).\nAnswer: 810*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*c + 23. Suppose c*s - 6 = 4. Let x = 7 + s. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, 3\/4, -54, 0.1, -100?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -0.4, 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - 55. Let u = k - 10. Let t(x) be the second derivative of -x**5\/20 + x**4\/3 - 2*x**3\/3 - x**2\/2 - 3*x. Determine t(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31779 divided by -99\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-222)\/(-111))\/(0 + 4)*(-44)\/2. Let f(u) be the second derivative of -u**3\/3 - 4*u**2 + 2*u. Determine f(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11696123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 926426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 - 3*m**3 + 5*m**3.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((8 + -8 - 16) + 27).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in decades?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y + 2*w - 22 = 0, 5*y + 3*w - 27 = 0. Let v be 2*2\/(-4)*-3. Let m be ((-1)\/v)\/(y\/(-126)). What is the highest common factor of m and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3, -3*m = g + 632 - 174. Let x be (-6)\/(-4) - m\/(-126). Let t = -1334 - -1334. Which is the closest to t? (a) 1\/7 (b) -2\/11 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 8*s - 11. Let l be d(10). Let i = l + -14. Which is the second biggest value? (a) 0.1 (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -144 (b) -2 (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.018 and -86?\nAnswer: 86.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-720)\/(-54))\/(1\/762000*-2). Round g to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 2\/13, -1\/2, 0.6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*x + 7. Let o(w) = -2*w + x - 3. Let p(t) = t**2. What is p(o(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzx when three letters picked without replacement from {z: 2, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 8, c: 3}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*10\/(-130) - 495\/1950\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74254*k = -74253*k + 4*q + 28, 4*k + 14 = -2*q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2\/19*r**2 + 192\/19*r - 4608\/19 = 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/5, -1\/2, 5, -0.05749, -2 in descending order.\nAnswer: 5, 0, -0.05749, -1\/2, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.4. Let o = j - 0.2. Suppose 10109*z - 624 = 9901*z. Which is the biggest value? (a) -0.04 (b) o (c) z (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 375027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - 6 + 6 - g**2 + g**2 - 2*g**2 + (4*g + 2*g - 5*g)*(-2*g - 4 + 4) to the form w*g + j*g**2 + r and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68 in 3\/4, -2\/3, 6785, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/56 and -60\/249347.\nAnswer: 1994776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177147, 354433, 531719, 709005, 886291, 1063577?\nAnswer: 1240863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -329 or -0.1677?\nAnswer: -0.1677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**9\/432 - m**5\/8 + 4*m**3\/3 - 4*m. Let q(k) be the second derivative of i(k). Find the second derivative of q(a) wrt a.\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 35*x**2 + 11*x - 43. Let j(o) = 2*o**3 - 26*o**2 + 20*o + 14. Let n be j(12). List the prime factors of u(n).\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(7260))\/sqrt(12)*5 + 5.\nAnswer: 5 + 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20708 by -4.\nAnswer: 5177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 702 - 786.5. Let l = g + 84.951. What is l rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(2))*2 - (-2 + sqrt(2))*-3 - (sqrt(2048) + -3))**2 + 0.\nAnswer: 126*sqrt(2) + 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*m + 4 = -62*m. Let z = -2.6 + 3. Sort z, -0.1, m.\nAnswer: -0.1, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 64 = 14*q. Let t(f) = 5*f**2 - q*f**2 - 8*f + 24 - f**3 - f. What is the units digit of t(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 11 = 2*d - 4*a, -4*d + 14 = 2*a. Suppose 5*j - 4*h = 55, 3*h = -4*j - d + 15. Solve j*l + 5 = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 13416 + 1739. Let i = t + 1854. Suppose 5*q - i = 416. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1071 + 1070. Which is the fifth smallest value? (a) p (b) -0.1 (c) -2 (d) 3 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152.8 - -149.8. Let k = -5 - -8. Sort -4, -1\/10, k, v.\nAnswer: -4, v, -1\/10, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242, -969, -2180, -3875, -6054, -8717?\nAnswer: -11864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 5*a, -4*a - 3 = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19785 and 0.2?\nAnswer: -3957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 183505 and -95609.\nAnswer: 87896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyyey. Give prob of picking 2 y and 2 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 61 (b) -0.1 (c) 4 (d) 0.1 (e) 5610\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = 0, -4*o - o = -4*k - 1236. Suppose -2*q - o = -5*q + 4*d, d = 5. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43\/9 - -58\/9. Let u = -3 + 2. Which is the nearest to u? (a) 1 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3\/5 - 6*b**2\/5 - 9*b = 0.\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 2)*(-5 + 5*x**3 + 5).\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/5)*t\/(t\/t**15*t))\/((t*t\/t**(-10))\/(t\/t**19)) assuming t is positive.\nAnswer: t**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 145303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1154193 divided by 300.\nAnswer: -384731\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 137386358 divided by 3\nAnswer: 137386358\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, 11, 47, 121, 245, 431?\n\"Answer: 2*d**3 + d**2 - 7*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 2, v: 1}. What is prob of picking 1 v and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 337302817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*t**3 + 48*t**3 - 231*t**3 + (3 + t**2 - 3)*(-2*t + 1 - 1) + 0*t + t**3 + 0*t + (-2*t**2 + t**2 + 2*t**2)*(4*t - t + 0*t).\nAnswer: -152*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -6*c + 9. Suppose -d - 28 = -c*d. Calculate the greatest common divisor of 154 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in micrometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 710.3408 millennia to centuries.\nAnswer: 7103.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 - 1634\/(-133). Are 13 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591022123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5580, -5578, -5576, -5574, -5572, -5570?\n\"Answer: 2*j - 5582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(912)*3 + (1*sqrt(57) + sqrt(57))*6)\/((sqrt(3) - sqrt(3)*2*-4) + 1*sqrt(147)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c - -2b648?\nAnswer: 2b665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 100984828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.07 + -8.6. Let u = 0.67 - f. Does u = 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 35 + 6*g**2 + 7*g**2 + 46. Let h be l(13). Let x = h + 3. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 418472 divided by 24616.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2423 + -16976\/7. Let s be 4\/(-18)*6\/(-4). Put s, j, 4, 0.5 in decreasing order.\nAnswer: 4, 0.5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7225*a**5 + 686290*a**4 + 1975600*a**3 - 1023510*a**2 - 3744585*a + 2098980 = 0.\nAnswer: -92, -39\/17, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 23*w**2 + 11*w**2 - w - 45*w**2 + 4.\nAnswer: -57*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 3*p + 6. Suppose 34 - 94 = -10*l. Determine t(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let r(t) = -t**2 - 2. Let y(w) = 2*w**2 + 5. Let n(x) = -5*r(x) - 2*y(x). What is v(n(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = 2*m, 2*x + m = 6*x - 7. Let o(c) = 4*c - 2*c + c - x. Let w(v) = 4*v - 1. Determine -5*o(i) + 4*w(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8933658?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1035*x**3 + 184*x**2 + 184*x + 184. Suppose -60*v + 6440 = -95*v. Let t(c) = 28*c**3 - 5*c**2 - 5*c - 5. Give v*t(l) - 5*o(l).\nAnswer: 23*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1005907836?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*r**2 - 12*r**2 + 4*r**2.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 + 12578*v\/7 + 12576\/7.\nAnswer: 2*(v + 1)*(v + 6288)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11897175 - 127483.\nAnswer: 11769692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + m**2 + 0*m**2)*(-3291*m**2 - 336*m**2 + 631*m**2 - 756*m**2) to i*m**3 + z*m**4 + y + w*m**2 + c*m and give z.\nAnswer: 3752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 8*f**2 - 9*f + 6. Let u be z(-7). Let w = 96 + -90. Solve w*y + u = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 1. Let l(m) = -m**3 - 11*m**2 - 5*m + 5. Let w(f) = 21*g(f) + 3*l(f). Factor w(y).\nAnswer: -3*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 3:40 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 83, 154, 229, 308, 391, 478?\n\"Answer: 2*c**2 + 65*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/3)\/(51\/3366*-10318)?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 4*s + 2*s + 0*s - 2*s + s + (-2 - 2 + 6)*(-1 - 2*s + 1) + s - 4*s + s + (-13 + 15 + 17)*(-2*s + 3*s + 0*s).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5686524 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7.86*-2.54\nAnswer: -19.9644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*y**2 + 3*y + 18.\nAnswer: -3*(y + 1)*(5*y - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141 + 70. Let x = -41 - f. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) -2 (c) -0.5 (d) 0.2 (e) -0.3 (f) 0.06684\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56250 and 8370.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 2\/119?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Which is the second biggest value? (a) 12 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(sqrt(1573) + sqrt(1573)*2*-5) + -2 + (-5 + -1*sqrt(1573) + sqrt(1573))*-2*-1 + -2)**2.\nAnswer: 99792*sqrt(13) + 27522384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = z + 5*u - 35, 0 = -4*z - 3*u + 71. What is the remainder when 5116 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 1 (c) 2\/633 (d) 0.4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1585 - -7879\/5. What is the common denominator of 49\/6 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -6. Suppose 6*j + 10 = -4*h, 2*j + 10 = 5*h - 6. Solve -3*f = -4*s + w, -2*s - h*f + 4 = 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(126)\/((sqrt(54) - sqrt(54)*2)\/sqrt(9)))\/(-1*sqrt(567) + (1*sqrt(343) - sqrt(343)) + sqrt(343)).\nAnswer: sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/5)\/(i*i*i**(-3)))**11 assuming i is positive.\nAnswer: i**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3111011\/6 less than -518502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**3 - 12*u**3 - u**3.\nAnswer: -21*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/3250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/20? (a) 2685 (b) 4 (c) 0.5 (d) -1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 36*w**2 - 120*w + 112.\nAnswer: -2*(w - 14)*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + -6*((1*sqrt(66) - sqrt(66)) + sqrt(66)) + sqrt(66) - (sqrt(66) + -4*(sqrt(66) - (-2*sqrt(66) - sqrt(66)))))\/(sqrt(18)\/(-2*sqrt(147))).\nAnswer: -154*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**5*n - 244*j**3*n - j*n - 38*n wrt j.\nAnswer: 40*j**3*n - 1464*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-282)\/24 - (-1 + -4)) - (-400)\/(-576)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 15. Let k be d(-10). Suppose 0 = -5*h - 5*c - k, -4*h - 5*c = 12 - 5. Is 15 a factor of (231\/(-14))\/((-1)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0 - -4 - (2 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*s = s - 81*s + 5525 + 9581 for s.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.394233ug to tonnes.\nAnswer: 0.000000000003394233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**2. Let q(y) = 506*y. Calculate q(m(z)).\nAnswer: -2530*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**3 - 6 + 6 + 16*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/21 - 2220\/(-21). Suppose q = 5*r + 2*a - 489, 5*r - 3*a - 620 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 103 (b) -0.05 (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 2*w**2 - 39*w - 131. Calculate y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*l + 76*l + 1694*l**2 - 620*l**2 + 101 + 1521*l**2 wrt l?\nAnswer: 5190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7522*y - 75104. Determine l(-10).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-51471)\/76)\/21*(-721 - (3 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81\/(-126))\/(18\/21)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1331)*-4 + (sqrt(1331) - (sqrt(1331) + -2*sqrt(1331) + sqrt(1331) + -4 - sqrt(1331))))**2 + -4*sqrt(1331)*-1*-2.\nAnswer: 792*sqrt(11) + 133116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-10))\/((-432)\/576). Let q = -0.41 - -0.01. Sort z, q, 1, 3\/2 in decreasing order.\nAnswer: 3\/2, 1, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25395\/9*6063\/215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8819 = 253*k - 542 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Factor 56*v**2 - 152*v**5 - 44*v + 8 - 64*v**4 + 16*v**3 - 204*v**5 + 384*v**5.\nAnswer: 4*(v - 1)**3*(v + 1)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221717463?\nAnswer: 3, 11, 41, 163871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 8*y - 3030. Suppose 2*z + y = -8*z. Let v = -47 - z. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 1. Let f(v) be the second derivative of -4*v**3\/3 + 5*v**2\/2 - 2*v. Let w(i) = 3 + 4*i - 9*i - 1 + i**2 - 3. Let m be w(4). Give m*c(k) + f(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-140))\/((-120)\/(-14))*(-35)\/(-14)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4100 by -10.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16903 + 16903.4. What is the second smallest value in 4\/7, -2\/11, 51, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 7:08 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 4 = -9*u. Find the third derivative of 7*q**3 - 20*q + 20*q - 22*q**2 + u*q**3 wrt q.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 542187 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 - 3761 - 3739 + 7576 - 2*h to the form v*h**2 + c*h + t and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 479.814 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514402777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4356906 to the nearest integer?\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210712 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.1, 5, -1\/2, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.00658 - 5\nAnswer: -4.99342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000439708 to 6 decimal places.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-6)*(-3 - 9\/(-12)). Let r(g) = -g**3 - 7*g**2 + g + 2. Let m be r(-7). Let f = m + k. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6654939?\nAnswer: 3, 17, 130489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1632 (base 8) to base 15\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -3) + (-3)\/3. Suppose s = i - 36 + 30. What is the derivative of i*g**3 - 1 + g**3 - 7 wrt g?\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4 (c) 28 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 781415.64 and -4.\nAnswer: 781411.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25.2, 0, 2\/7 in descending order.\nAnswer: 25.2, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -538*y**3 + 538*y**3 - 10*y**4 - 19 with respect to y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1346 - -1422. Which is the nearest to -0.1? (a) -3 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at least 121\/1202199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -230, -61.6, 27, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.075644432?\nAnswer: 0.226933296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8. Let z = -2 - h. Let u = 176 + -1230\/7. Sort z, u, -0.4.\nAnswer: z, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1945235386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*p + 4*p + 890, 356 = 2*s + p. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3569 or -3570?\nAnswer: -3569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.247 + 4.753. What is the smallest value in 10, -2\/3, -2\/13, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 47. Let f(j) = -j**3 - 6*j**2 + 20*j + 7. Let u be f(l). Suppose -14 = -4*m + 2*m. What is the highest common factor of u and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33136 (base 10) to base 3.\nAnswer: -1200110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1000*m**3 + 192*m**3 + 246*m**3 + 266*m**3 + 214*m**3.\nAnswer: -82*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 + 3*q - 10. What is f(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -49, -69, -99, -139?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 15) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -56*n + 6. Let p be v(10). Let b = -654 - p. Is -97 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000042 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 8*r**2 - 4*r - 48. Let i be y(6). Suppose 5*q = z - i*q - 223, 3*q = 9. What are the prime factors of z?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 2971?\nAnswer: -23768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 8142 + 2*d**2 - 6*d**2 + 3*d + 8141. Give l(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sous when four letters picked without replacement from {o: 1, u: 1, s: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18886 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 4*r**2 + 9*r - 12. Let z be m(3). Which is the nearest to 0.1? (a) z (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 544, 1066, 1588, 2110, 2632?\n\"Answer: 522*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*n - 131*n + 1610. Solve -6 = -13*x + n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 - -0.2. Suppose -s + 4 = -m, -m - 32 = 4*m + s. Let k be (2 + m)*(-2)\/(-44). Put k, x, -1\/10 in decreasing order.\nAnswer: -1\/10, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 470 and 4058215.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((330\/(-28))\/55)\/(4\/16*3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-56)\/(-21)))\/(5\/(-2)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 946 and 330?\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11427\/27 - (-2)\/(-9). What is the first derivative of 207 + 197 + 72*r**2 - a wrt r?\nAnswer: 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -27. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3400508?\nAnswer: 2, 271, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110100011 + 11110011010?\nAnswer: 10010100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 680, 1987, 4270, 7877, 13156, 20455?\n\"Answer: 58*a**3 + 140*a**2 + 481*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 9. What is the tens digit of (-19)\/(-1)*(-23 + 3)\/u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2936 = 3*z - u, -5*u = 7*z - 5*z - 1980. Let f = z - 495. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:43 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u**2. Let f(k) = -4*k**2 + 3*k - 6. Let d(y) = -y**2 + y - 2. Let i(b) = 6*d(b) - 2*f(b). Calculate i(x(j)).\nAnswer: 162*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8130 + 8238. What is the remainder when n is divided by -3*(-4)\/(-6) + 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15892 take away 1.03254223?\nAnswer: -1.19146223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 2. Let i be w(-1). Solve -5*n + c - 5*c + 10 = 0, 0 = i*n + 3*c - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 41*s + 14. Let w be j(-4). Let h = w - -201. Is 48 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + -22 + 30 + 10 + (3 - 6 - -5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 208189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 732 = -222. What is the second derivative of 10*g + l*g + 29*g - 83*g**5 + 1 - 97*g wrt g?\nAnswer: -1660*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -57014, -2, -1, -4, -5 in decreasing order.\nAnswer: 20, -1, -2, -4, -5, -57014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24059, -96005, -215839, -383561, -599171, -862669?\n\"Answer: -23944*j**2 - 114*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3693 + a8?\nAnswer: -3596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35362 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1152596 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 349305, 349238, 349143, 349014, 348845, 348630, 348363?\n\"Answer: -m**3 - 8*m**2 - 36*m + 349350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 532 + -530. What is the closest to l in -0.4, 2, 3.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/180 - w**4\/6 + 10*w**3\/9 - 2*w**2 + 45*w. Factor h(v).\nAnswer: (v - 10)*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = -4*y. Suppose 8 = -2*v, 15 = o - v - y*v. Let d = -3.2 + 3. What is the nearest to 2\/9 in -5\/6, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*a - 44380 - 31020. Is a a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15620 = -5*c - 417, -3*c + 9116 = -4*v. Calculate the lowest common multiple of 3040 and c.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -33, -2\/19, 3\/4, 0.7, -0.5, 0.5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 6*w**2 + w + 5. Let o be 1 + 0 + 13\/(91\/21). What is s(o)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 3*a - 1. Let k be p(-2). Suppose -1 = -2*d + d. Let r be 1 + k + (0 - d). Put 0, r, -4 in decreasing order.\nAnswer: 0, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6374 or -159334\/25?\nAnswer: -6374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3)*z*z)\/z)**(16\/3))**(-2\/11) assuming z is positive.\nAnswer: z**(64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.3 (c) -28 (d) -4 (e) -0.09 (f) 5 (g) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.3 + 8. Let k be (125\/500)\/(2\/48*2). Let x = 0.5 - 1. What is the second smallest value in x, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 11 = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 + -7. Let d be 50\/x*(-36)\/15. Suppose 3*v = 5*h + 23, 24 - 4 = -5*h. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -878.6 - -879. Let u = -4\/99 - -250\/1287. Which is the second smallest value? (a) 0 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 - 2*q. Let h(r) be the third derivative of -r**4\/24 + r**2. Let d = -2686 - -2684. Calculate d*h(f) + j(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*r + 4*c - c, -34 = -5*r + 4*c. Let d(v) = -v**2 - 8*v + 86. Let o be d(r). Solve 0 = -o*n + 6*n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 112\/(2 + 2)*(-3)\/(-6). Let v = -9 + t. Let w be 0 + 0 + (-5 + v - -16). Calculate the highest common factor of 128 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3122, 0.65, -2?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 11*q**2 - 1440. Let s(m) = 31*m**2. Determine s(v(d)).\nAnswer: 15004*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7755 + 16174. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 162 = -846. Suppose y + 1272 = 18*q. What are the prime factors of q?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*u + u. Let v be (-5 - -7) + (-1 - u). Let x be (-450000)\/(v + (-9)\/(-30)). What is x rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*p - 6*b + 16, 2*b + 4 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 1. Let h be r(0). Let t = -460\/9 - -154\/3. Let j = t + -19\/45. Is h < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -2367, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -9, -33, -87, -183, -333?\n\"Answer: -2*i**3 + 3*i**2 - i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -56.75 (b) -0.16 (c) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38143 or 38217?\nAnswer: 38143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 30293, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4715, -10062, -34701, -69208, -113589, -167850?\nAnswer: -231997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 13*l - 245. Let w(r) = 49*r - l*r - r**2. Let c(k) = 3*k**2. Determine c(w(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*y = -l - 11, 5 = l - 2*y. Let j be (-328)\/(-32) + l\/4. Let p be (-51)\/(-2) + (-5)\/j. Calculate the highest common divisor of 250 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449399053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {y: 3, l: 1, n: 5, g: 1, b: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 38*z**2 - 109*z + 67. Calculate h(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -16*t. Let a be u(-1). Suppose 26 + 0 = q. Let o = q - a. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*b**3*l**2*s + 19*b**3*l**2 - b*l**3*s + 4*l**3 wrt s?\nAnswer: 6*b**3*l**2 - b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 5, 4026?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4\/9*v**4 + 32\/3 - 40\/9*v**2 - 2\/9*v**5 + 10\/3*v**3 - 88\/9*v = 0?\nAnswer: -3, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 6*p = 56, -622*q + 304*q - 3*p - 22 = -319*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - 12. Let b = -17 - x. Put -2, b, 1\/2 in decreasing order.\nAnswer: b, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 7*c + 2*c + c + 0*c + 0*c + 0 + 0 - c + (2 - 3 + 0)*(-2*c + c + 2*c))*(-c + 2*c - 3*c) in the form i*c + p*c**2 + h and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6612 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5071 and 582879.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32057.396 rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(6)\/sqrt(3))**2 - (sqrt(6)*2)\/sqrt(3)) + (0 + sqrt(98)*2)*3.\nAnswer: 40*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/123 in 1, 2719, 1.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*x - 5 = 0, 0*x - 4*x - 57 + 297 = 26*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k. Let m be h(-2). Suppose 0 = m*a + a. Let y = 97 + -83. Solve -y = -4*f - 0*f + 3*p, a = -4*f + 5*p + 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 2*z**2 - 2*z + 1. Let w(i) = -2*i**3 + 2*i**2 - 2*i + 1. Let n(r) = -3*w(r) + 4*y(r). What is the remainder when n(2) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 750 and 26325.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/6600 and 119\/4300?\nAnswer: 283800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebjnjjjjjejjn. Give prob of picking 1 e, 1 b, 1 n, and 1 j.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/8)*d)\/d*d**(1\/3))\/(d**3\/(d*d**8))*(d**(-4\/9)*d**(3\/5))\/(d*d*d**(-6)*d*d\/(d\/((d\/((d\/(d*d\/((d\/d**(-5\/6))\/d)*d))\/d))\/d))) assuming d is positive.\nAnswer: d**(2501\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 205 - -50. Calculate the common denominator of 2250\/1430 - (0 - (-4)\/(-26)) and ((-90)\/21 - -4) + s\/(-161).\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-252)\/580 + (-2)\/(-5). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 5*n**2 - 4*n. Let x be y(-2). Suppose -5*p + 613 = -2*m, -x*p + 3*p = -2*m - 121. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuyu when four letters picked without replacement from {u: 2, y: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 21?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 171*h - 398. Determine q(83).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 408111 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-13)\/(-13) + (-19)\/20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 9:27 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(486)*1)\/(1*sqrt(3)*-5*-5).\nAnswer: -18*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67864\/712131 - 2\/33911. Let h = -41 + 7. Which is the nearest to -1? (a) l (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)**(-4\/9)*v\/v**(3\/4)*v\/v**(-2\/13))**(4\/9) assuming v is positive.\nAnswer: v**(449\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/5 + (-6021)\/6480 and 21\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 - a. Let k be m(-1). Let s be (2 - k\/4)*8. What is the highest common factor of 20 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u. Let z(h) = -1 + h - 3*h + h. Let v be z(-3). Let w(m) = m + 0*m - m**v - m. Give w(d(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from mstutbtuccc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-2 - 4\/(-2)) - -5. Suppose 0 = -z*r + 1054 + 641. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*sqrt(252)\/sqrt(9)*-5.\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 73a - 2?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61949517 a multiple of 5019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**4 - 426081*l**3 + 15152796729*l**2 - 1706877375915*l + 1691725005264 = 0.\nAnswer: 1, 112, 70957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.7 + -8.21. Let p = y - -3.51. Let z = -164 + 823\/5. Sort p, z, 2 in decreasing order.\nAnswer: p, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223002 - 1?\nAnswer: -223003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2 - x + 7. Let u(t) = 4*t**2 + 2*t - 6. Let k(d) = -6*u(d) - 5*z(d). Let v(p) = -p**3 + 3*p**2 + 24*p - 42. Let s be v(6). Is k(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66448\/25 - -2658. Let y = -4.81 + -0.19. What is the smallest value in -0.2, y, f, 4\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454.17 rounded to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2856)\/20 + 2\/(-10). Let j = 165 + y. Solve 0 = -4*x + 2 - j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = 5*z - 3*b, -3*b = -12. What is the third derivative of -36*l**3 + 5*l**z + 46 + 48 - 101 wrt l?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 9\/2*c**3 - 24*c**2 + 48 + 25*c. Let h(i) be the first derivative of k(i). Differentiate h(s) with respect to s.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 131024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70269 by 15.\nAnswer: 23423\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -j + 12, -16*j = -19*j + 3*h. Suppose 2*q - q - 10 = -5*w, 3*w = -j*q + 20. What is the remainder when q is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 5:22 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 579.3 - -118.15. Let o = -647 + h. Let d = o - 51. Round d to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11932*a + 5*y = 11927*a + 608 - 133, -485 = -5*a + 5*y for a.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5777482 to the nearest integer?\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 120*f + 121*f - 4.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*u + 8540 + 610 - 756 = -3354 for u.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192918 and 13035?\nAnswer: 964590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:18 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)\/k*k*k*k*k*k**7)\/(k**(-1))**(-1\/8)*(k\/(k\/(k\/k**(1\/2))))**28\/(k**0)**(11\/8) assuming k is positive.\nAnswer: k**(191\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2130 by -13.\nAnswer: 2130\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*p**2 + 5 - 58*p**2 - 7*p**2 + (-2 - p + 2)*(4*p + p - 4*p) - 2*p**2 + 3*p**2 + p**2 as d*p**2 + q + w*p and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(sqrt(5) + -3)*1 - (-4 + -2*sqrt(405))).\nAnswer: -48 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17182 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.83 + 1.33. What is the closest to -2 in 2\/5, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3 + 5*g**3 + g - 2*g**3 + 2 to the form z*g**3 + f + u*g**2 + j*g and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = -2*n + 96, -5*n + 5*v = -245. Let z = -154\/3 + n. What is the fourth smallest value in z, -4, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (416\/(-65))\/((-2)\/5). Suppose 0 = -4*x - 104 + v. Let j = -5 - x. Calculate the remainder when 46 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*r**3 + 3438*r**3 + 672*r**3.\nAnswer: 4063*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -14 - (42 + -21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 335*b**2 - 59*b + 60. Let x be u(1). Solve 42*p - 84 = -x for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 9 = 3*f + 28, k - 4*f = 11. Let t = -0.1 + 0.1. Put 0.5, k, t in descending order.\nAnswer: 0.5, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32902443 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -88 + -4a?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 6.1. Let l = 12 - 10. Which is the closest to 1? (a) 4\/5 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - m)*(-1399 - 6415 + 3041)*(0*m - 2*m**2 + 0*m).\nAnswer: -9546*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**8)\/s*(s*s*s**(-4)\/s*s*s)\/s)**(-8) assuming s is positive.\nAnswer: s**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 6:39 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let q = 2578 - 2643. What are the prime factors of 2\/(-2)*x*q?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 246614921, 246614920, 246614919, 246614918?\n\"Answer: -q + 246614922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnj when three letters picked without replacement from gjjggjdggnjggj.\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21 - -94)*((-63)\/(-15))\/7. Solve 24*y + i = 45 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -890 + -2a7ba?\nAnswer: -2b48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 203.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/2 + (-19)\/38. Let a(f) = -25*f**2 - 33*f. Let w(z) = -17*z**2 - 22*z. Let s(p) = o*w(p) - 5*a(p). Find the second derivative of s(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36235 - -8?\nAnswer: 36242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {v: 1, s: 2, w: 1, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/683 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 0*k + 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 637 divided by -13.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*v + 85 + 219, 5*y = -2*v + 159. Let z = v + -35. What is the highest common divisor of z and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -31574?\nAnswer: 31601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45957889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -13*i + 184. Let k be -1*(-16 + (i - 7)). Let d be (-1 + 5 - 1)\/1. Solve 0 = 2*v - d*y - 19, 5*v + 0*y + 5*y + k = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38, 40, 50, 74, 118, 188, 290?\n\"Answer: j**3 - 2*j**2 + j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 2*m**2 + m. Let k be y(-1). What is the remainder when k\/(-5) - 102\/(-5) is divided by ((-1)\/1)\/1 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*s + 1 - 64*s - 126*s in the form f + r*s and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*a - 179*a + 115*a + 110*a to b*a + z and give b.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 196612.766.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 80353\/16 - (-9)\/(-144)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -63\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-150)*(-50)\/(4\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 73. Let p be t\/20 - (2 + 393\/(-170)). Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 99*n**3 - n**2. Let u be x(1). Let c = u - 53. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 613468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5473, 22751, 51549, 91867?\n\"Answer: 5760*p**2 - 2*p - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198870*w**2 + 0 - 3 + 3 + 194042*w**2 to the form o*w**2 + s*w + i and give o.\nAnswer: -4828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 165. Let y = -55 + b. Suppose 9 = -4*p + y. Solve 2*j + 3 = p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 19. Suppose -4*c + 43 = d. Let y be 4 - (4 - 4)\/5. Solve 3*s = -y*v - c, -v - 2*s - 9 = s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86717 - -183467. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8310338 and -1284916.\nAnswer: 7025422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -4*k + 154. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.1 - -17.1. What is the closest to k in -5, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3997 - 4022.016. Let l = o - -0.016. Let q = l - -25.0148. Round q to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(-2*sqrt(5)))**2 + (sqrt(168)\/(sqrt(12)\/sqrt(4)))\/sqrt(8) + (-3*(-1 + (sqrt(448) - (sqrt(448) + sqrt(448) + -2 + 0))))**2.\nAnswer: -143*sqrt(7) + 16227\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggjuuuuguuwugwu. Give prob of sequence jwu.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 5, a: 1, s: 5, t: 1, n: 1}. Give prob of picking 1 n and 2 s.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 3*k**2\/2 - 39*k - 4402. Let r(c) = c - 20. Determine 3*q(w) - 7*r(w).\nAnswer: 2*w + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 175*g**3 + 4*g**2 + 212*g**3.\nAnswer: 37*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1\/3 (c) -4 (d) 0.2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -16 + 5 + -2 + (45 - 3) + 0\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254731998 to the nearest integer?\nAnswer: 15960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2203*m + 2187*m + 64 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*j + 2 + 391308*j**3 + 4*j.\nAnswer: 391308*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.384 - -0.258. Let q = i + 0.036. Round q to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 - 2*t**4)*(-t + 3*t - 3*t + (1 + 0 + 1)*(-t - t + 4*t)) + (7*t**2 + t**2 + 0*t**2)*(2*t**3 - 3*t**3 - t**3) + 0*t**5 - t**5 + 0*t**5.\nAnswer: -23*t**5 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -310, -307, -306, -307, -310?\n\"Answer: -v**2 + 6*v - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iioooooooooo. What is prob of sequence oooi?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 820*(-6)\/(-6) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:16 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 37392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.386474 take away 237?\nAnswer: -234.613526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8012 + 0.9012. Which is the closest to o? (a) 0.06 (b) 2\/11 (c) 152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86374969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 5:07 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-261))\/((-2065)\/(-2478)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enk when three letters picked without replacement from {e: 1, k: 2, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (18 - (12 - 1)) + 2 + 0 + 39?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2*x - 4 = 0, 2*r + x - 2 = -4*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251867 divided by -6?\nAnswer: -251867\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/6)\/m**(-1\/4))**40)**(-10\/9) assuming m is positive.\nAnswer: m**(-100\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*l**3 - l**2*v**2 - 36*l**2*v + 14*l*v**2 - 157*l*v - 3*v**2 wrt l.\nAnswer: -78*l - 2*v**2 - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 19830093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6254 + 6276 + 6301 - 18831 + 26*m.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**5\/5 + 74*p**4\/5 - 1366*p**3\/5 - 44*p**2 + 3959*p\/5 + 2738\/5 = 0.\nAnswer: -1, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15406 divided by -15406\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27435957 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4969580 and 9702.\nAnswer: 44726220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/3)\/(5782\/(-531) + 2 + 9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8759128 divided by -56\nAnswer: 156413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-4\/7)*c)\/c)\/c**(-1))**(-46) assuming c is positive.\nAnswer: c**(-782\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 7*l**2 - 4*l - 7. What is r(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.434112*-261.\nAnswer: 113.303232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 726*m**3 + 260*m**3 - 55 + 228*m**3 + 221*m**3.\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 2 (b) 1 (c) 9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 171 (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/630 and (-4836)\/(-1296) - (-55)\/(-15).\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 382*s + 11932 = -377*s, 5*q + 5*s - 14915 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 5*f - 216, 0 = -355193*s + 355196*s - 5*f + 162 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15174 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 3434.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16493 + -3652. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*b**2 + 114*b**2 - 59*b**2)*(-16*b - 4*b + 7*b)*(-3*b + 2*b + 0*b) in the form x*b**2 + d*b**4 + q + y*b**3 + n*b and give d.\nAnswer: 1222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 + 58*t**2 + 41*t + 24. Calculate the remainder when 85 is divided by z(20).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*c**3*u**2 + 27*c**3*u + 2*c*u**2 + 45*c*u + 137*u**2 wrt u?\nAnswer: -26*c**3 + 4*c + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 5) in base 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + r + 3, 25 = 3*c + 2*c - 4*r. Let l(f) = -5*f**2 + 6*f - 18. Let o be l(3). Let v = 770\/17 + o. Which is bigger: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 31. Let l = z - 23. Solve -3*b = -l*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2 + 1. Let s be i(-1). Suppose -2*g = -3*m - 9, 0 = g - m - s + 3. Let v(h) = 3*h**2 - 2. Let k be v(g). Solve -4*x - x - k = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 2, -820, -35, -0.24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = t - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 1, p: 2, x: 1, d: 1}. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/7)*u**(-14)*u*u*(u**(-1\/6)\/u)\/(u\/(u\/(u**(8\/9)*u))*u) assuming u is positive.\nAnswer: u**(-2095\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 29 + 46. Let a = d + -15. Let h = -16 - -32. Calculate the least common multiple of h and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10617074.9 - -904.5\nAnswer: 10617979.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 1189.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 88*y - 49. Let z be r(11). Suppose 0 = -w - 3*w - 1080. Let n = w + z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 47 - 47 - 2*i + (3*i + 2*i + i)*(i - i + i) + 1 - i**2 - 1 + (-6*i + 4*i + 3*i)*(3*i - i + 0*i) + 2*i**2 - 2 + 2.\nAnswer: 11*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*w**3 + 995*w**2 - 2575*w - 30875.\nAnswer: 5*(w + 5)*(w + 19)*(11*w - 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*y - 39*b + y**2 - y wrt y.\nAnswer: -2*b + 2*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 68, 49, 16, -37, -116, -227, -376?\n\"Answer: -j**3 - j**2 - 9*j + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6) - -1) + 534\/4. Suppose -3*a + q = -w + 3*w, -a + 4 = 0. Calculate the remainder when w is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f*f**(-2\/5)*f))\/f*f**(-11))\/(f**(-14)\/(f*f**(-3\/7))) assuming f is positive.\nAnswer: f**(104\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57.948 + 58. Let r = -2.948 - v. Which is the third biggest value? (a) r (b) -5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/19 + (-68)\/1292.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from vvvvvvavtgtt?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**0))\/l**9)\/(l**(-12\/7)*l*l*(l*l\/(l\/(l*l**(11\/5)))*l)\/l*l*l) assuming l is positive.\nAnswer: l**(-542\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - 2*x**2 - 2*x**2 + (-5*x + 5*x + 2*x)*(-x - 37 + 37))*(-1 + 0 - 1)*(-2*x**3 + 3*x**3 - 3*x**3).\nAnswer: -36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 8:57 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 8*q**2 - 9*q - 11. Let d = 398 + -389. Give t(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 3:52 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33840 - 32560. What is the greatest common factor of 290 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-3)*f**(1\/9)*f*f*f assuming f is positive.\nAnswer: f**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-804)\/(-3752)*(-7)\/24?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 5. Let b be 2\/(-2 + 4\/3). Let n(j) = -j + 3. Let h = 37 - 42. Let q(t) = b*r(t) + h*n(t). Let m(k) = -18*k**2. What is m(q(x))?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/18 + 2 - 473\/(-1290).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 379175 divided by 75835.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1002 or 1003?\nAnswer: 1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -70152 - -1100?\nAnswer: -6a052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.129 - 176.829. Let d = 176 + f. Which is the nearest to -1? (a) d (b) -0.5 (c) -1\/36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2079? (a) 42 (b) -1\/20 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3355 - 1637 - 10581 = -29*k. Calculate the remainder when 1095 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-89 + 89 + 8*v)*(-1 + 0 - 2 + (-2 + 5 - 1)*(-3 + 5 - 1)) in the form u + y*v and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 19\/4 (c) 2 (d) -31797\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/5 - 104*b**3\/5 - 1244*b**2\/5 + 2808*b\/5 - 1458\/5.\nAnswer: -2*(b - 1)**2*(b + 27)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + -9 - (-38 - -68 - 12).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 39 + 40 - n**2 + 0*n**2 + 5*n**2 + n**3 as d + g*n**3 + i*n + w*n**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171624 divided by -24.\nAnswer: -7151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -6*b + 310. Suppose -8*f + b = 1. Which is bigger: -23 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyjxrvjeejvyje. Give prob of sequence yexj.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1.4.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**2 - 25*a**2 + 2*a**2 + 68*a**2 - 32*a**2.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 at least as big as -1931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 2*k**2 + k + 13. Let q be h(0). Suppose -8*b + q*b = 925. Suppose 4*n + 5 - b = 0. Solve 5*p - n = 5*i - 10, -i + 8 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 21, 6, 1, -7, 0.\nAnswer: -7, -6, 0, 1, 3, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1\/4, 161\/3 in ascending order.\nAnswer: -2\/7, -1\/4, 161\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1724515 + 0.139911. What is c rounded to four dps?\nAnswer: -0.0325","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*1*24\/(-4). Let m = 9 + h. Let g = 74 + -74. What is the third biggest value in m, 1\/5, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -2, 439, -4 in descending order.\nAnswer: 439, 72, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 + -117. Is 0 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922*l = -3*k - 918*l - 41, 0 = -4*k - 0*k + 4*l - 36 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)*v)\/v**(-1)*v*v**(1\/2)*v*v**2*v assuming v is positive.\nAnswer: v**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -36. Suppose c*z - 6 - 10 = 0. Suppose z*s + 4*u - 2572 = 0, 0 = -0*s - 5*s + 3*u + 3191. Round s to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**2 - 60*k + 55 = 0?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -1846?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/3 - 944*m**2\/3 - 620*m + 936.\nAnswer: -4*(m - 1)*(m + 3)*(m + 234)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 4)*(-1 - q + 1) + q - 19 + 19 + (0 - 2 + 0)*(-2 + 2 + q) - 3*q + 2*q - q to the form c + a*q and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*p + 4*o - 58 - 34, -3*o + 23 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.226 - -0.226. Which is the third smallest value? (a) 0.3 (b) 4\/3 (c) -3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/11 - -49\/88. What is the smallest value in 8\/5, -1\/3, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**2*t**2*w + 3*r**2*t**2 + t**2*w - 32*t**2 wrt w?\nAnswer: -2*r**2*t**2 + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58091010 minus 57?\nAnswer: -58091067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 975, 1688, 2871, 4518, 6623, 9180, 12183, 15626?\nAnswer: 19503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 7. Let r be a(-6). Let o = 9571 + -9576. Put 4, r, 5, o in increasing order.\nAnswer: o, r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 15*u**2 - 98182*u + 1472727. Determine l(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47542 = 4*n + 3*h, 0 = -399*n + 396*n - 4*h + 35653. What are the prime factors of n?\nAnswer: 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-201)\/(-5) + 3\/(-15). Let z = j - 10. Suppose 5*g - u = z, -5*g + u = -4*u - 30. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*u - 31, -3*d - d = -2*u - 46. Let t = 17 - d. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111001000 (base 2) to base 7.\nAnswer: -10205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, m: 5}. What is prob of sequence mmdd?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4344 + 1821. What is the greatest common divisor of 145 and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - sqrt(2057)*2) + 5 + -2 + sqrt(2057) + 0)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -480*j - 1 + 912*j + 1607*j - j**3 to the form f*j**2 + p*j + b*j**3 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*d - 133*d = 66. Suppose -10 = -h + 4*g, -34 = -5*h + 2*g + 2*g. Let w be 1 + (-10)\/h + 21\/(-9). What is the nearest to 0 in w, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2559, 10269, 23095, 41037, 64095, 92269?\n\"Answer: 2558*v**2 + 36*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:58 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -664414 (base 7) to base 13.\nAnswer: -41239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -955089 by 2.\nAnswer: -955089\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12116 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: What is prob of picking 1 s and 1 t when two letters picked without replacement from wwssswsts?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.7 + -12.7. Suppose 4*u - 20 = 3*p, 5*p + 18 = -5*u + 4*u. Let h be u*(-1)\/8*1. Sort g, h, -1 in descending order.\nAnswer: g, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 150179 = 24976. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6*p = 11*p - 2679, 3*a + 4*p - 2010 = 0. Is 59 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84267 = 84269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 13*s**7\/210 - 13*s**3\/3 - 26*s**2. Find the first derivative of n(t) wrt t.\nAnswer: 52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-38))\/(54\/(-3591))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89a08 (base 11) in base 15?\nAnswer: 28935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/5 - 267*t**2\/5 + 1161*t + 1215.\nAnswer: 3*(t - 45)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 543*q**2 + 110196*q - 6699 = 0.\nAnswer: -203, 11\/181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -16, 37, 90?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 259014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 3 + 4 + 2*v. Let m(l) be the first derivative of l**2\/2 - 5*l - 10. Let k(u) = 1. Let f(a) = -4*k(a) - m(a). What is 2*f(o) - 4*z(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 4*r**2 + 5*r + 2. Let i(l) = -l**3 - 6*l**2 - 5*l - 5. Let f be i(-5). Let z be d(f). Suppose 0 = -7*u + z*u + 125. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + l**2 - 8*l**2 - l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*f**2 - 5*f**2 + 2*f**2 + f**2 - 1 - f**2 + 1 + (2 + 2*f - 2)*(2*f + f - 4*f) - 11*f**2 - 2*f**2 - 4*f**2 + 2 - 2 + 2*f**2.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -11*k**4\/4 + 43. Give m(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*t**3 + 248*t**2?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1900172 - 1.19. What is t rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v = 8*v + 105 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1475656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/((-6)\/(-3))*40*64\/2560.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13025.\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*(c\/(c\/(c**6\/c)))\/c*c**(2\/3)*c**(1\/4))**(-4\/23) assuming c is positive.\nAnswer: c**(-35\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 59 = -0*x + 2*x, -5*a - 9 = -2*x. List the prime factors of x + 2\/6*6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnynnnynnnnnyy. Give prob of picking 3 n.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1133 + -24243?\nAnswer: -30431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12888204?\nAnswer: 2, 3, 7, 71, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8\/9, 1 in decreasing order.\nAnswer: 1, 8\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/22964 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 5*s**2 - 5*s - 5. Let p = 41 + -57. Let k be 25\/(-10)*p\/(-10). Calculate a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 38. Calculate the highest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = n - 4*n. Let l be (-2 - n) + -3 - -3. Let a(d) = 0 - 3 + l + 9*d - 1. Let r(i) = -4*i - 1. Determine 2*a(c) + 5*r(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1667.716 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 1. Let r be h(4). Let c be (-2)\/3 - r\/9. Let l = 5 + -10. Sort -2, c, l.\nAnswer: l, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4, 0*t - 138 = -2*q + t. Let y = 10 - 0. What is the highest common divisor of y and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1\/232, 4.8, -4, -5, -0.2 in descending order.\nAnswer: 4.8, 1\/232, -0.2, -2\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -7*k**4\/24 + 2*k**3\/3 - 2*k**2 - 199*k. Let u(h) = 36*h - 21. Give -11*n(q) - 2*u(q).\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*p + 5*b, -3*p + 4 = -5*p - 2*b. Suppose p - 4 = -m. Let t(u) = -2 + 9*u - 9*u + 0*u - 5*u. Calculate t(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/4 + 10*q**3\/3 + 107*q**2 - 7*q - 5. Find the first derivative of o(n) wrt n.\nAnswer: 6*n + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3218742.\nAnswer: 2, 3, 178819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3454 = -n - 10*n. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 122 = 5*x - 33, 2*y + 192 = 4*x. Suppose 0 = 5*h - 18 - 2. What is the remainder when 93 is divided by y\/(-3) - h\/(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 21 - (-12 - -13).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*o**5 + 4*o**5 + 2*o**5 + (o + 2*o**2 - o)*(-3*o**3 + o**3 + 3*o**3) + 5*o**3 - 5*o**3 + o**5.\nAnswer: 19*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18635 + 18618.9. Which is the closest to 0.1? (a) 1 (b) -0.5 (c) i (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75924.58 decades to millennia.\nAnswer: 759.2458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11*n**2. Let h(z) = 3*z**2. Determine h(t(i)).\nAnswer: 363*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(9)\/sqrt(3)) + (sqrt(11) + sqrt(11)*2)*-6.\nAnswer: -17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 11 - 27. Suppose 2*z + 2 = 3*z. Let k be (z\/w)\/(4\/1224). What is the highest common factor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75930.93 seconds to minutes.\nAnswer: 1265.5155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 52) + 9 + -26.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15\/(-4)*(2232\/(-54) - -17)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2748)\/(-342) + (49 - 57).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 5*g + 1. Let m be (2 - (-5)\/1)\/1. Let o = -1 + m. Calculate r(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yapn when four letters picked without replacement from {a: 1, s: 2, y: 1, n: 1, z: 1, p: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1904*u**3 - 17*u**2 + 17*u - 1816. Let z(t) = -635*t**3 - 6*t**2 + 6*t - 601. Let v(b) = 6*a(b) - 17*z(b). Find the first derivative of v(s) wrt s.\nAnswer: -1887*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.2135 + -9.6?\nAnswer: -90.8135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*1*-12. Let k(z) = z**3 + 7*z**2 + 5*z - 1. Let u be k(a). Is (u - 2) + -4 + 143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 1012.\nAnswer: -7084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*d*i*o**2 + 7*d*i + 2*d*o**2 - 4829*d*o - 709*i*o**2 wrt i?\nAnswer: -21*d*o**2 + 7*d - 709*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2131*s*x**2 - 2*s*x + 14*s - 1760*x**4 - 40565*x wrt x.\nAnswer: -4262*s - 21120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203183.7 rounded to the nearest one thousand?\nAnswer: 203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 0. Let d = 6.3 - j. What is the third smallest value in -1, d, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12648\/465 - ((-84)\/(-30))\/14.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 8. Let a be h(-6). Let l(i) be the third derivative of 1\/24*i**a + 0 + 0*i + 1\/3*i**3 + i**2. Calculate l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 39*u**2. Let g(f) = -4455*f. Determine v(g(h)).\nAnswer: 774033975*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -3*t - z, 0 = 4*t - 9*z + 4*z + 87. Let n be 1 + 10 + 18 + t. Calculate the greatest common factor of n and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 22*z**2 - 38*z - 699. What is the remainder when 1724 is divided by u(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 469*n**6\/6 - 3*n**4\/4 - n**2 + 125*n - 1335. What is the second derivative of r(y) wrt y?\nAnswer: 9380*y**3 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 35.24973.\nAnswer: -176.24865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 385609 = 293391. Round n to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/20*90\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 11:23 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-80)*-2)\/((-9)\/(315\/56)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 5*n**2 + 17 - 7*n**2 + 10*n**2 - 42*n**2 + 53*n**2.\nAnswer: 2*n**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*g, g + o - 3*o = -3. Suppose 4*b = -3*h + 5, -3 = -g*b - h + 7. Solve b*n + 9 = 2*s, -3*s - 2*s - 24 = 3*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7204 - -16033. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 23463?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*x + 11408 = 0, 23*u + 3*x + 14236 = 28*u. List the prime factors of u.\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 490337473*q. Let u(f) = -2*f**2. What is a(u(i))?\nAnswer: -980674946*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) - (sqrt(154) + (sqrt(154) - sqrt(154)*-2))*-1)\/(sqrt(275)*-4))\/(-1*(sqrt(252) - (sqrt(252) + -3*sqrt(252)))*5).\nAnswer: sqrt(2)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-1*sqrt(5600) + sqrt(56))\/sqrt(2))\/((-3*sqrt(576) - sqrt(576))*-2))**2.\nAnswer: 3*sqrt(7)\/16 + 1087\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/30 and 107\/47200?\nAnswer: 141600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-21) + (85440\/364 - (-8)\/(-52)). Calculate the highest common divisor of 376 and l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + z**2 - z**2)*(-2*z + z - z) + z**5 + 18*z**5 + z**5.\nAnswer: 24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*h - 1570 + 75 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.7828 + 7.2208. Let j = c - 14. What is j rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5\/3 (b) 16 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 28. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5 + 14157*l**4 + 16694640*l**3 - 16708800*l**2 = 0. Calculate l.\nAnswer: -2360, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 26. What is the smallest common multiple of 20 and j(17)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 10*k**2 + 10*k + 6. Determine z(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 39. Suppose 3*d = 3*w + 414, 3*d + 2*w - 396 - a = 0. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.91 - -715.09. Let i = m - 719.99673. Round i to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46773463 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 16. Let v = 206 + -201. Give h(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 0.969, 2\/13, 285?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2220)\/333)\/((24\/(-27))\/2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3137766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -100020231 (base 4) in base 11?\nAnswer: -45725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1032825 divided by 25.\nAnswer: 41313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 57 - 62 - (-2 + (8 - 2))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 404*c + 403*c + 112 = 0, 5*c = -4*d + 54 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 12 = h, 0 = 4*w + 952*h - 950*h + 156 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:22 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428668 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/15 - (-74)\/3. What are the prime factors of n\/((6\/9)\/1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.4 - 18.4. What is the second smallest value in -2\/11, b, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16948, -34666, -52386, -70108, -87832, -105558, -123286?\n\"Answer: -u**2 - 17715*u + 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8373135 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50614913 divided by 43.\nAnswer: -1177091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l - 19. Let j be 1\/(((-18)\/(-21))\/(-6)). Let k be b(j). Calculate the lowest common multiple of 12 and 12\/k*(-36)\/(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610619585 to the power of 1\/2, to the nearest integer?\nAnswer: 40133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*a**5 + 537728*a**3 - 17992523*a**2 - 6 wrt a.\nAnswer: 1260*a**2 + 3226368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/2))\/w)\/w**(-8)*(w*w\/(w**(1\/4)*w)*w)**(2\/3))\/((((w*w**(2\/11)\/w)\/w)\/((w**(1\/5)\/w)\/w))\/(w\/(w**(1\/3)\/w)*w)**(21\/5)) assuming w is positive.\nAnswer: w**(3281\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhywwwwzwqyqzz. Give prob of sequence wzw.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(-5)*i*i)*i**(-2\/7)*i**1*i\/(((i**3\/i*i)\/i)\/i))\/(i**(-3\/7)*i**(-7\/3)*i*i)**(-7\/3) assuming i is positive.\nAnswer: i**(248\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34926 - 34916. Solve -4*m + 24 = 0, -43*m - i = -5*x - 48*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(68) - sqrt(68))**2 - (sqrt(68) + ((sqrt(68) + sqrt(68)*6 - sqrt(68))**2 - sqrt(68)) - sqrt(68)))*3.\nAnswer: -4080 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 4 - -2) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 12:40 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 3 (c) 0.2 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -4*k + 3. Let j be -29 - (2 + -2 + k). Does 14 divide (-1576)\/j + 2\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94815047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 16, 3, -12?\n\"Answer: -m**2 - 8*m + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 b, 1 k, and 1 i when four letters picked without replacement from kbikkikkm?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*k - 91309 = 0, -3*o + 429396 = 2*k + 155605. What are the prime factors of o?\nAnswer: 3, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25832, 25834, 25836, 25838?\nAnswer: 25840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1573 - -72. Does 47 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -3.4?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 125821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -628 + 658. Let w be (24\/(-200))\/((-6)\/t). Let r be (-36)\/8*(-1)\/6. What is the fourth smallest value in 4, r, 1\/2, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:26 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -410 - r**2 + 11*r - 408 - 399 + 1227 to b*r + t*r**2 + d and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**4\/12 - m**3\/6 - 2*m**2. Let j(y) = -y + 1. Let b(c) = -3*j(c) + t(c). Let q be b(9). Solve -q*o + o = -16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.229+6482\nAnswer: 6482.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1303550?\nAnswer: -2\/651775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57087684.\nAnswer: 2, 3, 1585769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**6 - 34*s**5 - 149*s**2 - 3*s wrt s?\nAnswer: 360*s**3 - 2040*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2279867968 to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 8:48 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26155 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.896359nm?\nAnswer: 0.000000000009896359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1318*x - 233. Is d(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19007*y + 1897373 - 649421 - 473461 = -1886489 for y.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 0.3, 3\/4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - 69. Let p = -83 - t. Solve -p = 2*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*a + 96 = 22, -u - 5*a + 19 = 0. What is the tens digit of u + (-5)\/(15\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 351332 - 76619. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/4092 and -95\/6138.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -957 + 959. Solve j - 12 = 3*v, -2*v + 3 = l*j + j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3398429 (base 10) to base 12\nAnswer: 117a825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258410887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7021, -28099, -63235, -112429, -175681, -252991?\nAnswer: -344359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 194205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1304*o - 1302*o - 13 = -v, 0 = 5*o + 4*v - 40 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124994, 125098, 125204, 125312, 125422, 125534, 125648?\nAnswer: 125764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74854 and 43185?\nAnswer: 1122810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p + 2. Let v be x(0). Suppose j = v*j. Let o = -2 + 3. What is the closest to j in o, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3\/5)*g**11)**8 assuming g is positive.\nAnswer: g**(456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 57*(-3)\/(-162) + -1. Let i(z) be the second derivative of 0*z**3 - q*z**4 + 0 + 7\/90*z**6 + 0*z**2 + z + 1\/12*z**5. Factor i(b).\nAnswer: b**2*(b + 1)*(7*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7299 is divided by 162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = -3*t - 116 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - y. Suppose 0 = 5*m - k, k + 10 = 3*m + 12. Let s(n) = 8*n**3 + 6*n - 2. Calculate m*s(o) + 6*w(o).\nAnswer: 2*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 77172840*q**5 + 5335612*q**4 - 5195272*q**3 + 44560*q**2 - 96*q = 0.\nAnswer: -3\/10, 0, 2\/463, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -19. Let j be 1 - (-3 + 2 - 0). Suppose -j*u = -d - q + 107, -4*d + 4*u = -352. Calculate the highest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6405158 and 2108?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 293047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39999729 a multiple of 2233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1 - (-9)\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + 0*x)*(-4*x**2 + x**3 + 8*x**2 - 3*x**2).\nAnswer: -3*x**4 - 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cb - 0?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.025778 and -30405.2.\nAnswer: -30404.174222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1390*a**5 - 1622*a**3 - 5027176*a**2 wrt a.\nAnswer: -83400*a**2 - 9732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Let c = 9 + -6. Suppose p*l + c*l = 0. Solve 3*f + 12 = l, -5*f - 9 = -z + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/500 and 73\/28.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 368 and 1012.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Let o(b) = 2*b**3 - b - 2. Let w be o(2). What is the greatest common factor of p and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-3))\/(4\/(-54)). What is the common denominator of (11\/22)\/((-20)\/(-22)) and (l\/35)\/((-28)\/130)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 92327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419, 1188, 3269, 7316, 13983, 23924, 37793?\nAnswer: 56244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121920660 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2887 or 75045\/26?\nAnswer: 75045\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -37*d + 180. Let s be y(5). Let x(l) = -l**2 + 0 - 3 - 6*l + 0*l**2. Let w be x(s). What is the closest to w in 1, 1\/5, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 4. Let x be n(-6). Let t(o) = -2*o**3 - 4*o**2 - o + 4. Let y be t(x). Suppose -y*z = -2*z - 64. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 19 = 2*y - 6*y - 2*m, 14 = -64196*y + 64195*y + 3*m for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -267*d - 2431. Is l(-26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -2 (c) 6 (d) 0.060162 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1114*u**2 + 560*u**2 + 556*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 5. Let n be b(-5). Suppose -y + 4*y - 21 = n. Let c(j) = -23*j + 59. Let u(k) = -4*k + 11. Let m(g) = -c(g) + 5*u(g). What is m(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 8*p - 5. Let a be o(-7). Suppose 0 = g - 4*k - 44, 5*k + 3 = -a. Find the common denominator of (-1 + -1)\/(-8)*-67 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l**2 + 10*l**2 - 21*l**2 as b*l**2 + t + k*l and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 + 3*o + 1. Let s(a) = -15*a - a**2 + 5*a + 4*a - 1 + 5*a. Calculate -j(z) - 4*s(z).\nAnswer: -z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -141, -216, -293, -372, -453?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26, -98, -212, -362, -542, -746, -968, -1202?\n\"Answer: a**3 - 27*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 3*l + 45 = 0. Suppose -l*x + 29 - 34 = 0. Which is greater: 2\/239 or x?\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.066 - -0.266. What is the nearest to 4\/9 in -2\/5, q, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 316.023 and -0.59.\nAnswer: -186.45357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2847452 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (7 + 6) - -22?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 2010*j**3 + 7975*j**2 + 5970*j.\nAnswer: 5*j*(j + 1)*(j + 3)*(j + 398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (838812\/75278)\/((-4)\/(-14)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + -1.11. Let o = -4.9 - -5. What is the nearest to 5 in o, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 + 23693204*h\/11 + 70170989473202\/11.\nAnswer: 2*(h + 5923301)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z + 18*z + 11*z + 4*z - 2*z - 3*z + (0*z - 4*z + 3*z)*(-3 + 5 + 0) + (-2*z + 2*z + z)*(1 + 7 - 4)*(4 - 3 + 1) to the form m*z + j and give m.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198354 is divided by 6113.\nAnswer: 2738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 5*u - 7. What is the remainder when 173 is divided by a(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490019 is divided by 6533?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 184?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let y(c) = -4*c - 6 + w*c + c. What is the units digit of y(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31117722 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/14 - 96\/(-28). Solve 2*b = 7*b + c*r + 25, 0 = -5*b - 5*r - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1129*v**2 + 116*v + 20. List the prime factors of d(-3).\nAnswer: 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -79*k - 1030. Let d be w(-13). What is the third smallest value in -2\/3, d, -12\/11, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 40*a**2 - a - 23. Calculate j(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28263027 by -2174079.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*a**2 - 22 - 42*a**2 + 43*a - 43*a**2 + 167*a**2 - 39*a**2.\nAnswer: 3*a**2 + 43*a - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1747*d**2 - 45 + 38 + 7 + 19*d.\nAnswer: -1747*d**2 + 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smbkbrso. Give prob of sequence ss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 3*x - 4. Give n(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*z + 30*z = -43*z - 86*z + 4218 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-45)\/7563) - (-3)\/5. Let w = a - 168. Which is bigger: -2\/91 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 7*y. Let d(w) = -2*w**2 + 6*w. Let z be (14\/(-4))\/(4\/(-8)). Suppose -z + 19 = -2*f. Determine f*d(n) + 5*b(n).\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 7:31 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*h**2 - 33*h**2 - h - 12*h**2 in the form n*h + p + i*h**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r**5 + 40714*r**4\/3 + 51704156*r**3\/9 - 82076234*r**2\/9 + 13450424*r\/3 - 640712 = 0 for r.\nAnswer: -849, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 p when four letters picked without replacement from {n: 9, p: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110222*u**2 - 51690*u wrt u.\nAnswer: -220444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1464, -1435, -1406, -1377, -1348?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*d + 46*d = -64. Let f be (63\/588)\/(6\/d). What is the closest to 0 in -0.8, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3018130 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10723 divided by 7.\nAnswer: -10723\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -398, 8\/5, -91?\nAnswer: -398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30.7 and 1.\nAnswer: 30.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*v - 2, 4*w - v = -223. Let m = 620 + w. What is the greatest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 13*q**2 + 9*q + 7. Let k be s(-14). Suppose 13 - k = -4*d. Let u(p) = -p - 10. What is the remainder when d is divided by u(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195977664 divided by -65325888\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i - 5. Let g be u(2). What is the highest common divisor of g and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 158 - 28*j + 15*j + 15*j.\nAnswer: 2*j - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x + 896 = -430. Differentiate 4*o - 4*o + 115 - x*o**2 - 28*o**2 + 0*o wrt o.\nAnswer: -124*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d252 (base 15) in base 5?\nAnswer: 2410102","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1496 * -83.352.\nAnswer: 12.4694592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1143\/254*(-65)\/15*-2.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 20566?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -247.0528 + 0.0528. Let y = d - -246.9644. What is y rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**2 + 7*h. Let r be 2\/8*-2*2. Let o(d) be the third derivative of -d**5\/60 - 3*d**2 + 8*d + 166. Give r*z(k) + 6*o(k).\nAnswer: 2*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 6\/11, 0.05, 1, 2\/3, -32?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 + 31*t - 5. Let g be s(-18). Let x = g + -728. Solve -3*a = -2*d + 15, -2*d + x*a + 9 = -16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**7 + n**3 - 3. What is the third derivative of t(a) wrt a?\nAnswer: 840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08651 + 51.12949. Let x = 50.3 - p. Round x to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/(h**(6\/7)\/h)*h**8*h**(-1\/2))**(13\/4))**(-8) assuming h is positive.\nAnswer: h**(-2483\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**2\/7 - 78336*z\/7 - 1721456\/7 = 0.\nAnswer: -19562, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5232 divided by -16?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -23. Suppose -g - y*h + 8 = 0, g - 6*g = 2*h + 14. Is g bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/45*4 - (-2)\/15. Suppose -666 = -2*t + c, -2*t + x*c = -t - 336. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/200)\/((-10)\/(-8)*1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7004369 and 2949208?\nAnswer: 56034952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8346, 33389, 75128, 133563, 208694, 300521?\nAnswer: 409044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 61. Let a be (-3)\/(((-8)\/(-32))\/((-1)\/g)). Solve a*i + 3*d - 36 = -14, 0 = 5*i - 3*d - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*(0\/(-6) - 0). Put o, 5, -15 in decreasing order.\nAnswer: 5, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.14 in -5, 2\/9, 4\/63, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.199554 rounded to three decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Solve 2*m - 2*j = -i*m - 11, 3*m + j = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k - 4*k - 90*k**2 - 45 - 6*k + 91*k**2. Give s(19).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 345, 341, 327, 297, 245, 165?\n\"Answer: -z**3 + z**2 + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 7 + 10)*(6*v - 2*v - 6*v).\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -151*j**2 + 325800*j*t**2 - 3*j*t - 532027079*t**2 wrt j.\nAnswer: -302*j + 325800*t**2 - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6539\/6 + 1095. Is i greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Let x(g) = -7*g + 0*g**2 + g**3 + 0 + 3*g**2 - 6 + g**a. Let o be (1\/(-2))\/((-1)\/(-10)). Give x(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 550\/(-2) + 5 + -2 + 2. Let a be ((-5)\/(f\/(-12)))\/((-1)\/9). Let i be 16\/6*(-36)\/(-8 + a). What is the greatest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1216) + 1*sqrt(1216)*-5)*-5 + 2 + 4*sqrt(1216)*2*1)**2.\nAnswer: -384*sqrt(19) + 175108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3*t**2 - i**3 - 280*i**2*t**3 + 7*i*t**2 + i*t + 4*t**3 wrt i?\nAnswer: 18*i*t**2 - 6*i - 560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 12. Solve g = -2*w - 0*q + 5*q + 12, 2*w = -2*q - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -7*i**5\/10 + i**4\/6 + i**3\/3 + 7*i**2\/2 + 56*i - 74. Let z(j) = -9*j**3 + j**2 + j + 5. Determine 5*h(a) - 8*z(a).\nAnswer: 2*a**3 + 2*a**2 + 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 39. Let t(z) = -36*z**2 + 19*z**p + 20*z**2. Let b(x) = 2*x. Let n(d) = -d. Let s(j) = b(j) + 3*n(j). Determine s(t(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4*b**3 + 0 - 6*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.42954 days in milliseconds?\nAnswer: 469112256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -17. Let b = 0.069 - 3.069. What is the biggest value in k, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11677177\/17 or -686892?\nAnswer: -11677177\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 3:50 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 9*a + 10. Let g be o(7). Let k(v) = 3*v - 14. Suppose 3*j + 6 - 24 = 0. Let f be k(j). Sort -1, g, f in ascending order.\nAnswer: g, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2. Let k(y) = -79883*y**2 + 8. Determine k(t(r)).\nAnswer: -1997075*r**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 171739554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(66)*-2 + (sqrt(66) - 5*-2*sqrt(66)))\/(5*-1*(sqrt(6) + sqrt(6) + sqrt(18)\/sqrt(3))))**2*-3.\nAnswer: -11\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 + 167*s + 385. Determine b(-30).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11950082 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgddn. What is prob of picking 1 n and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -4, -0.1681, -2 in decreasing order.\nAnswer: 1\/8, -0.1681, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 19*c**3 - 14*c**2 - 46*c - 2. Let j(r) = -9*r**3 + 8*r**2 + 23*r + 1. Determine -7*j(m) - 4*w(m).\nAnswer: -13*m**3 + 23*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 38*v - 1270. Calculate the remainder when z(52) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3207006 rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 141131526 and 141131525 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*f = 4, -2*k + 5*k = -3*f + 3. Let u(n) = -n**3 + n**2 - n - 3. Give u(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzazqzzqqa. What is prob of picking 1 a and 1 n?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/62149 and -23\/291119.\nAnswer: 5531261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llln when four letters picked without replacement from {n: 5, l: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 934244793 to the nearest integer?\nAnswer: 30565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (7 - 7) - -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291*-2.\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = -7*d - 399. Suppose -2*s - 5*o + 413 = -69, d*s = 4*o + 1020. Is 28 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 2\/3, 6, -2\/17 in descending order.\nAnswer: 6, 2, 2\/3, -2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/b**(1\/6))*b)\/(b\/(b**(2\/5)\/b)*b))\/(b\/(b*(b\/b**(-2\/7))\/b))**(3\/10))**(13\/2) assuming b is positive.\nAnswer: b**(-6409\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)\/sqrt(3) - sqrt(9))*-2)\/(-4*sqrt(363) - sqrt(363)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13600 is divided by 484.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 27 = 3*a, h - 16 = 2*a - 3*h. What are the prime factors of (-18109)\/a - (-35)\/10?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 362 + -362.2. Let t = 97 + -100. Let h = -0.2 - -4.2. What is the third biggest value in h, j, -2\/11, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 + 40 = -3*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - 2216617*d**2 + 2217060*d**2 - 7*d.\nAnswer: 443*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avva when four letters picked without replacement from {v: 2, i: 8, a: 5}.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629 = -2*g - 631 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 8*g**2 - 7*g - 7. Let m be x(-7). Calculate the remainder when (-4)\/18 + m\/18 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-1) - (-66)\/11. Suppose -4*w + v*j = 4*j + 48, w = 5*j + 9. Let s be -6*(w\/2 - -4). What is s rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 - (5 - 3)) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(6 + -2) - 3. Suppose 73 - 232 = -x*g. Calculate the remainder when g is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2018 divided by 288905\nAnswer: 2018\/288905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5756, -5752, -5746, -5738, -5728, -5716, -5702?\nAnswer: -5686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180068*n - 90031*n - 90034*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -4, -8 in descending order.\nAnswer: 4, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40629 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p**2 - 507*p + 7. Determine b(-46).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -87*z**2 + 171*z**2 + 0*z + 0*z - 83*z**2. Let a(n) = -3141*n. Give y(a(w)).\nAnswer: 9865881*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 279144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 8) to base 5\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 8 + 12 + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 158*(-2)\/(-8)*57\/((-8892)\/(-312))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 0*f + 0 + 8 + f. Let i = -67 + 63. What is the units digit of s(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 3 (c) 1944\/5 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*g - 25. Let x = 61 - 34. Suppose 8 = -x*t + 31*t. Calculate the highest common factor of t and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 0.435, -1\/3, -0.5, 29, 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/2))**(26\/7)*(p**(-6\/7))**(-3\/11) assuming p is positive.\nAnswer: p**(733\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -34. Let u = c - -41. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 284173\/1305 - 1960\/9. Let m = -737\/580 - r. Which is the third smallest value? (a) m (b) 1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5609265, 5609258, 5609247, 5609232, 5609213?\nAnswer: 5609190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*o**2 + 18849*i**2*o + 11*i**2 + 3*i*o**3 + 316*i*o**2 - 5*o**3 wrt o.\nAnswer: 4*i**2 + 18*i*o + 632*i - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96026*a**2 - 96023*a**2 + 3*a - 3*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 310132, 310119, 310106, 310093, 310080, 310067?\n\"Answer: -13*y + 310145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13839450 to the nearest integer?\nAnswer: 3720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1209, 2411, 3597, 4761, 5897, 6999?\n\"Answer: -h**3 - 2*h**2 + 1215*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4 - 12. Let a = -33 + 56. Suppose a*r = 19*r. Solve -26 = -d*b - 4*y, -2*b + 7*b - 3*y = r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-399)\/2280*(-12)\/14)\/((-9)\/(-2)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -51*o**3 + 2*o**2 + 43*o + 42. What is r(-1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2130, -2062, -1968, -1842, -1678, -1470, -1212, -898?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 2*u. Suppose -3*a = -u*a + 28. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*u + 5*u = -8, k = -4*u - 7. Let d(l) be the first derivative of k + l - 2*l**2 - l - 2. Let x(n) = n**2. Give x(d(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + s + 2. Let m be 7\/14*(0 - -3 - -5). Let d(x) = 110*x**2 + 7*x - 6. Let p(t) = m*c(t) - d(t). Find the second derivative of p(n) wrt n.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111122 - -303032?\nAnswer: 414204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.73 and 26.\nAnswer: 26.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -138 (c) -436\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39448\/7 + -1302316\/231. Let i(n) = 127*n**2 + 3*n + 2. Let l be i(-3). Find the common denominator of p and l\/540 + (-4)\/10.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u - 46*u - 3 + 22*u + 505*u**3.\nAnswer: 505*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8588311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 450*h - 884*h + 435*h - 26. Determine z(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26929427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or -152?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, c: 4, g: 7}. What is prob of picking 3 g?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 721*-2.\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n = 0. Suppose 2*f + 0*f - 10 = n. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/131 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*z - 15, 2*f - z - 11 = -f. Let g(v) = 3*v**2 + 8 - 11*v - 3 + f*v**2 - 4*v**2. Is 17 a factor of g(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10682537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/(64\/896)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/21 - (-6540)\/84. Let h be ((-231)\/4)\/(w\/(-5200)). Round h to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -12480999 divided by 39?\nAnswer: -4160333\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -419*w + 23027. What is r(55)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 1)*(-1 - 1 + 4)*(p - 3*p + 3*p) + 74*p + 56*p - 176*p to l + c*p and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2227 + 2229. Factor -f**y - 1\/2 + 5\/4*f + 1\/4*f**3.\nAnswer: (f - 2)*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*y + 13 - 13 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8833.35853 * 4.\nAnswer: 35333.43412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9595487081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -35. Let n be (6\/4)\/(45\/g). What is the second biggest value in 1\/5, -3, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2844 divided by 12\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/9 - (-12)\/30*55\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3 - 1609*k**2 - 9*k + 14481 = 0.\nAnswer: -3, 3, 1609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 226357974443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*o)*(0 - o + 0) + 2*o**2 - 4*o**2 + 0*o**2 + 5*o**2 - 2*o**2 - 2*o**2 + 7*o**2 - 9*o**2 + 13*o**2 + 2.\nAnswer: 8*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(160)*1*5)\/sqrt(4))\/(sqrt(40)\/sqrt(45)*-2))**2.\nAnswer: -5625\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7302*o**4 + 5*o**2 - 3*o**2 - 9371*o**4 + 2*o to the form l*o**4 + x + m*o + y*o**2 + t*o**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2835, -3103, -3539, -4143, -4915?\n\"Answer: -84*w**2 - 16*w - 2735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -888 (base 11) to base 4\nAnswer: -100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 16890 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -251.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*z - 3, -4*z + 6 = -z + 3*o. Let n = 74752 - 74751. Put z, n, 23 in descending order.\nAnswer: 23, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82952, 165931, 248924, 331937, 414976, 498047, 581156?\n\"Answer: y**3 + y**2 + 82969*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, a: 9}. Give prob of picking 3 a.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/11*(-1)\/(-25)*5. What is the nearest to a in 3, 0.11, -3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190720840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**4\/6 - 778*n. Let l(s) = -283*s. Give r(l(h)).\nAnswer: 160178*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {f: 1, u: 3, g: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(8\/11))**31*((o\/o**2)\/o)**(-15\/2)\/(o**6*o\/(o\/o**7)) assuming o is positive.\nAnswer: o**(-386\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c. Let g(h) be the first derivative of -h**2\/2 + 13. Determine g(n(t)).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*u - 63 = 0, 3*f - 48 = 2*u - 4*u. Let d be -15 - -14 - (-16)\/1. Suppose d*r - 15 = 10*r. Solve -3*t = -r*w - 2*t + 10, w + 5*t + f = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m - 28. Let s be v(-16). Let l(w) be the first derivative of -3\/2*w**2 + 0*w**3 + 3\/4*w**s + 2 + 0*w. Find the second derivative of l(o) wrt o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/2052*-19)\/(44\/2442).\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*z + 10 - 10 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49573695*c*m**3 - 13372*c*m**2 + 150*m**2 wrt m.\nAnswer: -297442170*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 248*b**2 + 18*b - 380*b**2 - 17*b in the form w*b**2 + a*b + p and give w.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 123\/213386 or 0?\nAnswer: 123\/213386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2 - (-566)\/4. Suppose 143 = r + t. Let f be 4\/(-35) + (-2)\/7. Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 60, 22, -52, -174, -356, -610?\nAnswer: -948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s**2 - 253*s - 2276. Determine c(-21).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*(1 - -20). Let y = h - -25. Solve f + y*w + 5 = 1, f + w = -1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 + 766672*u\/11 - 18401280\/11.\nAnswer: 2*(u - 24)*(u + 383360)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -660 divided by -220\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 16*a - 8. Let v be s(5). Let p be -3 - 2*(-100)\/v. Which is bigger: -0.1 or p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = w + 4, 4*s - 10 + 18 = -5*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 2. Let y(k) = k + 2. Let m be y(-4). What is b(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 237270 and 660.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263767, 528069, 792371, 1056673, 1320975, 1585277?\nAnswer: 1849579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*y**3 - 3*y - 2*y**2 - 17*y - 24*y wrt y?\nAnswer: -90*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1624 = 15*v + 229. Suppose -12*z + 9*z = -v. Solve 2*g + 2 = 2*d, -2*d + z = d + 4*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) + sqrt(19)*3 + sqrt(19) + -4 + sqrt(19))*6 - (sqrt(304) + 1)**2*5) + 5)*2*-3.\nAnswer: 24*sqrt(19) + 9264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55 or 45.8?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2241*x**2 - 1203*x + 2 wrt x.\nAnswer: -4482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -379 - -384. Let v(m) = 2*m**2 - 3*m - 3. Let t(f) = -f. Give w*t(b) - v(b).\nAnswer: -2*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -54.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 - -156. Let k(v) = 12*v - 62. Let h be k(z). What are the prime factors of (-75)\/(-50) + (h - 522\/(-4))?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102*a*n**2 - a - m*n - 10*m + 2*n**2 - 1 wrt n?\nAnswer: 204*a*n - m + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4779612?\nAnswer: 2, 3, 103, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/4*(-3 + 5). Let z = 33 + a. Calculate the greatest common factor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/28 + (-2)\/(-56). Suppose -4*u + 8 = c, 0 = -5*u + 3*c - 6*c + 17. Suppose -2*j = s - u, -3*j = 2*s - 5*j + 4. What is the closest to t in s, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = 2*m + 6, -4*j + 3 = 5*m. Suppose -4*b = m - 11. What is the third derivative of -3*w**5 + 3*w**2 + w**5 - 4*w**b wrt w?\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81683 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n - 112 + 2631. Calculate the remainder when n is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (57471*-1)\/((-930)\/620) + (0 - 6)?\nAnswer: 2, 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1784\/11 - 162. Let z = -152 + 152. Let q = -44 + 44.1. What is the closest to u in z, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 2*r - 2. Let n(d) = -3 - 12*d + 21*d - 4*d**3 - 12*d + 5*d**3 + 3*d**2. Calculate 2*n(h) - 3*t(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10. Let s(m) = -m - 29. What is -8*i(c) - 3*s(c)?\nAnswer: 3*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3 + (-4 + 5 - 4)*(-1 + 3 + 0))*(4*f - 4*f - 2*f**2).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 835*c*w*y - 2*c*w + c + 6*w*y - 583*w with respect to c.\nAnswer: 835*w*y - 2*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 477.0794g?\nAnswer: 477079400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6*j**3 + 4*j + 44653*j**4 - 22337*j**4 - 22319*j**4 + 8*j**2 to the form t*j**4 + w*j + g*j**3 + v*j**2 + c and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58369, -116674, -174953, -233206?\nAnswer: -291433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 66810, -1\/4, 1, 1.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) - (21\/(-6) + 4). Which is bigger: -7\/12 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -4*u + f, -25 = -0*u + 2*u - 5*f. Let l = u + 24. Suppose 0 = -0*o - l*o + 24. Let z(c) = -c - 7. Determine z(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/84*3)\/((-18)\/14)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*1 + (-161)\/46. Which is greater: q or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*a**5 - 18*a**4 + a**3 - 13*a - 24?\nAnswer: -2640*a**3 - 216*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -175*y - 863. What is f(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3906.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 37*c**2 + 539*c + 1046. Give n(-13).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 401956 and 1672492.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25601641031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68\/((-48)\/(-396)*11). Solve 56*a = 73*a + x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*t - 8, 2*v + t - 36 = -2*v. Solve 4*i = -3*f - v + 1, 3*i - 2*f = -18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + -1679.3.\nAnswer: -1679.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28189*z + 53957*z + 2 - 2 - 25759*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 8*m**2 + 16*m + 24. Let o be u(10). Let p = 0 - o. Suppose 11*r - p*r + 5 = 0. Are r and 17\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 1. Let z be u(-2). Solve m + 3 + z = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68982.061 + -69097. Let u = -129 + 244. Let p = u + y. Round p to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524001424 (base 6) in base 8?\nAnswer: -42705170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 182 = -172 + 54 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 18, 16, -25, -4 in descending order.\nAnswer: 18, 16, 0, -2, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-311*m**3 + 9*m**2 - 1522 + 1446 + 317*m**3)*(-5 + 0 + 2) in the form n*m**3 + v*m**2 + t*m + y and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -445, -2954, -9739, -22936, -44681, -77110?\n\"Answer: -356*a**3 - 2*a**2 - 11*a - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, l: 1}. What is prob of picking 4 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 531905 to the power of 1\/2, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21145 - 14971. Let q = l + -2000. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -553 by -6.\nAnswer: 553\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 6*v**2 - 18*v + 104. Let u be w(6). Let z(b) = -b**3 + 5*b**2 + 6*b - 2. Let a be z(6). Sort a, u, -1 in ascending order.\nAnswer: u, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7693460.\nAnswer: 2, 5, 384673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*g - 2914 = 0, -373*g = -372*g - 8. Calculate the least common multiple of 4830 and p.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -g + 66, 4*g = -0*g + 16. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7 - (-1 - 1 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80 - 31*j - 20*j + 67*j - 31*j with respect to j.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1940578992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 - 2*s - 1. Let u be 1\/(-2) - 10\/20. Let c be r(u). Let d(n) = -2*n + 5. Give d(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44635069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 555, 2170, 4845, 8580, 13375, 19230, 26145?\n\"Answer: 530*r**2 + 25*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 373433, 747409, 1121387, 1495367, 1869349?\n\"Answer: h**2 + 373973*h - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5 = -0. Let a(r) = 19*r - 2. Let z be a(k). Let b(s) = 3*s**2 - 16*s + 38. Is b(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*v - 24. Suppose q + q = 0. Let g be 4 + q + 40\/(-9). What is the nearest to 0 in v, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-131 + 28 - -96) + 69\/(-2)*2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12068 + -12073. Let s be (1 - -1)*(-2)\/(-28). Let o = 1 + -1. Put o, s, z in ascending order.\nAnswer: z, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 957 - 878. Solve 10*d + a = 39 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 4, 15, -1, 6.\nAnswer: -10, -2, -1, 4, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6781\/9 + -753. Sort q, 0.3, 3\/13 in descending order.\nAnswer: q, 0.3, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27236110?\nAnswer: 2, 5, 11, 247601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 829735154 to the power of 1\/2, to the nearest integer?\nAnswer: 28805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.17 - -29. Let m = l + 1.97. Let w = m - 2. Which is the third biggest value? (a) 2 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 + -2. Let w = a - -0.6. Let x = w - -0.3. What is the second biggest value in x, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148375 and 347791?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsesehbvbpbehe. What is prob of sequence pvbb?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2087459 and 5.3?\nAnswer: -11063532.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4323 + -2921. Suppose 0 = -4*r + 3226 + x. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -673893 + 673896. Factor -3\/4*z**r - 3\/2 - 1\/4*z**4 + 3\/4*z**2 + 7\/4*z.\nAnswer: -(z - 1)**2*(z + 2)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904*k + 20 + 1909*k + 6.\nAnswer: 2813*k + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -25*g**4 - 180*g**3 + 1620*g**2 + 10160*g + 9600 = 0.\nAnswer: -10, -4, -6\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + m - 9, 3*d - 4*m + 535 - 272 - 271 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -67b0 + -13e8?\nAnswer: -7ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214 is divided by 232?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -1 + 1 + 8798*(-3015)\/(-90) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (222\/185)\/(((30\/4)\/(-5))\/((-435)\/6))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2253 - -4758. Round m to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-78)\/((-5)\/(20\/8)). Solve -5*b + 14 = l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -233396, 18, -5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = r - 3836 + 2417, 3*c = -5*r + 7041. What is the least common multiple of 120 and r?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 19*x = 0. Suppose -w - 6 = 4*p - 1, 2*w - 4*p - 14 = 0. Suppose -w*a = -a - 8. Solve a*c = 0, x = 5*r + c - 0*c - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 - 16034*r\/7 - 144468\/7.\nAnswer: 2*(r - 8026)*(r + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 58942247.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2. Let l(p) = -21*p. What is r(l(u))?\nAnswer: 2205*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 5*s**2 - 87*s**3 + 78*s**3 + 4*s**2 + 2*s**2 - 5*s**2.\nAnswer: -9*s**3 - 4*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x - 3*r - 856 = 0, 0 = -4*x + 4*r + 1708. Suppose 5*d - x = 5*u, -4*d + d - u + 275 = 0. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -525, -527, -531, -537, -545, -555, -567?\n\"Answer: -x**2 + x - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39*((-355)\/(-1420))\/((-3)\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 8. Let o be q(-6). Let a be 7*(7 + (-315)\/49). Calculate the highest common factor of o and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2926)\/4389)\/(2\/120)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -16.05. Let d = 0.625 - q. Let m = -0.78 + d. What is m rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51668*l**2*r**3 + 47*l**2*r**2 + 2*l**2*r - 3*l*r**2 + 70*l wrt r.\nAnswer: -310008*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 27 = 78. Suppose -o + 1 = r, 3*o - r + 4 = p*o. Which is the third biggest value? (a) o (b) -4 (c) 11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6439 is divided by 1458.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 9*c**2 + 2*c - 8. Let q(p) = -p**3 + 1. Give 4*q(k) + t(k).\nAnswer: -2*k**3 - 9*k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t + 12. Let n = -1418 - -1415. Calculate m(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (5 + -1 + 4 + -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112*k**4 + 189*k**2.\nAnswer: -2688*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -3*j**5\/20 - 61*j**2. Let p(s) = -10*s + 8. Let g(n) = 7*n - 10. Let z(m) = 4*g(m) + 5*p(m). Determine z(k(b)).\nAnswer: 198*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 28*z + 19. Give d(9).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*o + 36, 0 = -5*i + 7*i - 3*o - 54. What is the smallest common multiple of 2\/5 - (-1095)\/75 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3582954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2100\/18)\/(2\/2040). What is m rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 - -118. Solve 3*d - 3 + 14 = -n, 3*n = i*d + 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 214357051?\nAnswer: -214357052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 38 - 8 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 - -250. Let m(u) = -215*u + r*u + 105*u. Let h(y) = -7*y - 5. Let v(d) = 3*h(d) - 3*m(d). Let p(b) = -3*b - 4. Calculate -15*p(q) + 4*v(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + r - 15, -5*f - 5*r = -0*f - 35. Let h(s) be the first derivative of -2 - s + 7\/2*s**f. Give h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321610437 divided by -107203479?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 44*d + 578. Let o(q) = 13*q + 193. Let k(s) = 8*o(s) - 3*r(s). Let m be k(-7). Solve -2 = -m*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**4\/12 - s**3\/2 - s**2\/2 - 7*s - 2. Let a(g) be the first derivative of y(g). Determine a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 + 3 = 0. Let x be v*(3 + -2) + -1. Suppose -8*p + 3*p + 635 = x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2053 - -0.7853. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:27 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1\/2)\/((2380\/34)\/2660).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/12)\/((-102100)\/9189)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -319 - -461. Suppose 8*g = -18*g - 29168 + 32834. Is g at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + sqrt(1053) - sqrt(1053)) + sqrt(1053))**2.\nAnswer: 144*sqrt(13) + 1117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 + 3*b**3 - b**3 + 5*b**3 - 2*b**3 - 2*b**3 + (0*b**2 + 0*b**2 + b**2)*(2*b + 1 - 1).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/4)\/(2 - (-85)\/(-40)). Let k be b + -3 + (-5)\/((-20)\/(-4)). Let r(u) = -2*u**3 - 3*u**2 - u - 2. Give r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c6 (base 13) in base 5?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -25165040 to the nearest one hundred thousand.\nAnswer: -25200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 789868015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87036.\nAnswer: 2, 3, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -412, -432, -468, -526, -612, -732?\n\"Answer: -b**3 - 2*b**2 - 7*b - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9334507mm in micrometers?\nAnswer: 933.4507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1201 (b) -5\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*s = 100*s - 2*k + 218135, -9*k = 5*s - 218100. What are the prime factors of s?\nAnswer: 3, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58206683135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 912.7009ml?\nAnswer: 0.9127009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(2\/73)\/(n*n**(1\/2)*n*n*n**(1\/11)))**5 assuming n is positive.\nAnswer: n**(-395\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.8 from -0.1.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15708 - 3*m + 0*m - 3*m**2 + 3*m - 15718.\nAnswer: -3*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 41226680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let g(k) = 1. Let n(m) = -m - 8. Let a(u) = 2*g(u) - n(u). Let x be a(-9). What is j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -8. Let p be -2 + (9\/6)\/((-1)\/v). Solve 2*j - 26 = -4*w, -2*j - j + 4*w - p = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**2 + 0*x**2 - x**2)*(-2 + 2 - x**2) + (4*x - 5*x + 2*x)*(-3*x**3 + 0*x**3 - 2*x**3) to the form l*x**3 + g*x**2 + b*x + s + t*x**4 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 9:46 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**5\/120 + 5*j**4\/24 - 25*j**3\/12 - 2*j**2 + 12*j. Let n(x) be the first derivative of a(x). Factor n(f).\nAnswer: -(f - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12501413 - -1375142247\/110. Let q = -594\/5 - w. Find the common denominator of 89\/28 and q.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -415720 divided by -4?\nAnswer: 103930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -4*a + 73, 35*a - 2*w = 37*a - 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*5\/40*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epb when three letters picked without replacement from efjbajp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19326 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4\/(-8) + 4)*-2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 2*z)*(12 + 349 + 363 - 80 + 1158)*(4 - 6 + 6).\nAnswer: 7208*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(-4 - 426\/(-9))*(395 - 391)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, 3\/7, -27 in decreasing order.\nAnswer: 6\/5, 3\/7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.06 + 7.06. What is the closest to -1\/2 in -4\/5, w, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 42235467820202?\nAnswer: 42235467820201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, j: 1, w: 2, d: 2}. What is prob of picking 1 w and 2 d?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 4. Let r be (1 + 2\/(-4))\/(17\/(-34)). Let p be 0 - (0 - 1)\/1. Put v, r, p in decreasing order.\nAnswer: p, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2)\/r)**(-48))**(-35) assuming r is positive.\nAnswer: r**(-840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3, 0.4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2334243364.9999954 + 2334243597. Let r = -232 + c. What is r rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1032 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, 30, -24085, -27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1755)\/351)\/((-5)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616 (base 9) in base 2?\nAnswer: 11110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**4\/12 - 3*d. Let i(q) = 281*q. Let l(p) = 8569*p. Let o(c) = 152*i(c) - 5*l(c). Give o(w(a)).\nAnswer: 133*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-42.\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d - 16*d + 1786 = 25*d - 71*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - 2*f**3 - 3*f - 62*f**2 + 61*f**2 to the form s*f**2 + m*f**3 + y + u*f and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/(((-120)\/(-64))\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3034280 and 1010?\nAnswer: 306462280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39125446.\nAnswer: 2, 19, 1029617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-4 - (-27 + 23 + -2 + -1))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:01 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1251560, 1252535, 1255188, 1260359, 1268888?\nAnswer: 1281615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 i(o) = 13*o. Let z(w) = 4*w. Let v(c) = -4*i(c) + 11*z(c). Let f(l) = -l - 11. Calculate f(v(r)).\nAnswer: 8*r - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h**2 + h**2 - 2*h**2 + (1 - 2*h - 1)*(-2*h - 2*h - 2*h) + (h**2 - 2*h**2 + 3*h**2)*(3 + 4 - 5))*(32*h + 46*h + 26*h).\nAnswer: 1352*h**3 + 104*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 6*x**3 + 3*x**3 - 3 - x**3 - 2*x**3 as f*x**3 + j + m*x**2 + d*x and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -359\/7980 - 2\/399. Calculate the common denominator of 106\/7*(-2)\/(-8) and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -342308, -342252, -342086, -341756, -341208, -340388, -339242?\n\"Answer: 9*l**3 + l**2 - 10*l - 342308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/307 + 9734\/4605. Find the common denominator of l and 1\/3 - (-160)\/216.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 5*p**4\/6 + p. Let o(i) = -25*i - 63. Let j(m) = -6*m - 14. Let g(s) = -9*j(s) + 2*o(s). Calculate f(g(t)).\nAnswer: 160*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -548612508?\nAnswer: -548612503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*c - 87, -j = 4*c - 2*c - 27. Solve 2*g + j = 5*b, 5*g - 15 = b - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iigv when four letters picked without replacement from {v: 3, e: 2, t: 2, g: 2, i: 4}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o. Let c be d(-1). Suppose 8 = c*b - 4. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/((a*a**7*a)\/a)))\/a**(4\/9))**(-48)*(a\/a**7*a**(1\/3))\/((a*(a*a**(-1\/5))\/a)\/(a**(1\/4)\/a*a*a)) assuming a is positive.\nAnswer: a**(-19193\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -31. Let c(l) = 4*l - 10. Let h(v) = 11*v - 31. Let b(s) = u*c(s) + 6*h(s). Calculate the remainder when 7 is divided by b(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**6\/120 - o**5\/60 + o**4\/12 - o**2. Let l be (-15)\/1 - (68 - 81). Give y(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16\/10)\/((-10)\/(-25)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 19. Let v be (-3)\/18 + -3*(-174)\/(-108). Let u = 5 + -5.3. Which is the third smallest value? (a) j (b) v (c) -0.2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010762908 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2144*k - 404*k = -380*k + 51829 + 97763 for k.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + (-152)\/9. Let t = 211\/18 + r. Find the common denominator of -19\/9 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*k - 144*k + 3*r - 14 = -26, 6 = 2*k + 2*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -59903 and 44924.\nAnswer: -14979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75800331?\nAnswer: 3, 17, 47, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 - 2*z**2 - 5*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -150, -317, -528, -771, -1034, -1305, -1572?\nAnswer: -1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1143 - 725. What are the prime factors of y?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 divided by 2907?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 392*r + 7448. Let w be v(-19). Solve -d + 91 - 100 = w for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 7. Let i be (0 + (2 - w))*-7. Suppose -i*s + 3*s + 52 = 0. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 5 - 6) + (-138 - -119)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 2*x**3 - 2*x**3)*(x - 11 + 11) + (-3*x**4 - 2*x**4 - 2*x**4)*(-9 - 5 + 12).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((258\/9)\/(7\/3))\/(72*(-67)\/16884).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 73 = -3*o + 5*p, 5*o - 140 = 3*p. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7007\/22 - 3\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - g - 79. Calculate the remainder when q(-8) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -16) + -1 + -13 - (16 + 47)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*b = 700*b + 96 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grrg. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 22 - 7*b)*(7*b**3 - 5*b**3 - 1 + 0*b**2 - 4*b**2 - b) to m*b + i*b**4 + w + v*b**2 + t*b**3 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1335672 and 51645984.\nAnswer: 154937952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 98*m + 2017. Let u be b(-19). Let n(o) = -3*o**3. Let h be n(-2). Let q be (12\/h)\/(u\/(-4)). Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbrrrrrrr. Give prob of picking 3 r.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114781*v - 114789*v + 2136. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-58597)\/(-275) + 4\/(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.843 - -1.8\nAnswer: 2.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 110988 divided by 3\nAnswer: 36996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -3*r + 15, -4*d + 2*r = -3*r + 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1\/16, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5261736 (base 8) in base 16?\nAnswer: -1563de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -12*k - 3. Calculate d(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (11 + -6 + (10 - (5 + 5)) + -1)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57217914931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 minus 142?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1375 + -1374. Which is smaller: -1\/504 or h?\nAnswer: -1\/504","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uul when three letters picked without replacement from {l: 1, u: 2, p: 1, d: 1, r: 4}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.34*2653.\nAnswer: 3555.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 231415*h - 7 + 4023*h.\nAnswer: -227392*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397076995 to the power of 1\/2, to the nearest integer?\nAnswer: 37377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 - 19085*g**4 - 24815990*g**3 - 11597281510*g**2 - 736412831365*g + 66960311653235 = 0 for g.\nAnswer: -1241, -143, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (919 + -919)\/(3\/2*4\/(-3)). Factor 8*f + 18*f**2 + 9\/2*f**4 + 14*f**3 + 1\/2*f**5 + s.\nAnswer: f*(f + 1)*(f + 2)**2*(f + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/5)*i*i*i**(-4\/3)*(i*i**3)\/i**(-4\/7) assuming i is positive.\nAnswer: i**(508\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20358235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 93 = -y, -k - y = 4 - 37. Suppose 22*n + 3400 = k*n. Is n a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110701 (base 8) to base 7.\nAnswer: -213533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37841 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11855*t*z**2 + 1955*z**2 + 3 wrt t?\nAnswer: -11855*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Suppose -3 = -m*d + 1. Suppose -5 - 4 = -3*b. Solve -b*o = -4 - d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2 - 125*k**2 - 2*k**3 + 243*k**2 - 119*k**2. Let w(g) = 35*g**3 - 50*g**2 - 56*g - 22. Let b(r) = 5*f(r) + w(r). Suppose b(x) = 0. Calculate x.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*22*(-35)\/(3885\/37).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1356 and 678.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -763*y**6\/20 - y**5\/20 + 5*y**4\/8 - y**3\/3 - 3*y**2. Let i be h(-7). Round i to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/(-1)*(-1)\/1. Let c = v + -18. Put c, -5, 3 in increasing order.\nAnswer: -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1714, -3508, -5308, -7114?\n\"Answer: -3*r**2 - 1785*r + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/112)\/(75\/(-70))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/((-1)\/4) + 1. Suppose 0 = -n + s + 1. Which is the biggest value? (a) -2\/7 (b) -1 (c) 0.3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -2354\/45?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 464261565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -422*v**2 - 889 + 1722*v**4 + 71*v - 71*v + 422*v**2 wrt v?\nAnswer: 6888*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 (base 8) in base 11?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -14887455.\nAnswer: -14887455, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 - 2*h - 3*h**2 + 5*h**2 - 152 + 158 - h**2 + h**3 to the form t*h**3 + g*h**4 + w + q*h + b*h**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/36 and (-20)\/(-110) + 2788\/880.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*c - 19, -10 = 70*c - 75*c. What is the closest to p in -1\/7, -0.3, -5, 2\/49?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - sqrt(72)\/sqrt(2)*3)\/(sqrt(12)*-1*3))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 16023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obbmomcoooozocmbfoo. Give prob of picking 1 c and 1 o.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13668650 divided by -13.\nAnswer: 13668650\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 15473*g**2 - 17 + 15463*g**2 - 46398*g**2 + 15464*g**2 + 8.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) -7\/5 (c) 1.9 (d) 2 (e) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211386873*h**2 + 11441*h - 6982?\nAnswer: -422773746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/((-2)\/(-150)). Let a be 12\/(-15)*l\/4. Suppose -i = a - 26. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*t. What is the second derivative of t*o**2 - 2*o - 5*o**2 + 0*o wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from rsdkfddrndddrrrn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-845)\/95) + -4 - 2\/(-19)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-24) - (-112)\/128. Which is the closest to u? (a) 5 (b) 58 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1564751, -0.3, -3.\nAnswer: -1564751, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + (2*sqrt(175) - sqrt(175)) + 3)*-2.\nAnswer: -10*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + g + 3. Suppose 0 = -2*r - r + 6. Let p be q(r). Is 12 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 34. Calculate the remainder when 122 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.06, 1\/2, 9, -7, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - x**4 + 2*x**4 + (0*x**3 + 3*x**3 - 4*x**3)*(-2*x + 0 + 0) - 2*x**3 - 6*x**4 + 2*x**3)*(11 + 46 + x - 5).\nAnswer: -5*x**5 - 260*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i. Let l be (6 - i) + -1 - 1. Suppose -1 = -l*z - 2*f - 3, 4*f = z - 22. Solve z*h - 4 - 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/176 + -699\/880. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546770 is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.126574 nanometers to kilometers.\nAnswer: 0.000000000006126574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4\/3 - 100*b**3\/3 - 300*b**2 - 3500*b\/3 - 5000\/3.\nAnswer: -4*(b + 5)**3*(b + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175677246 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14\/(z*z**(-21)*z))**32 assuming z is positive.\nAnswer: z**1056","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 11 = 2*d, 7*d - 3*d + 2*z = 14. Let l(c) = 53*c**3 - 9*c**2 + 13*c + 1. Calculate the remainder when l(d) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(48)\/(sqrt(12)*-2)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.49 + -0.18044181879.\nAnswer: -0.67044181879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1363667296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20018.\nAnswer: 2, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 2*o + 130. Suppose -1 = 2*j - 7. Let -8*q - 50*q**4 + 17*q**2 - o*q**2 + 14*q**3 - 104*q**j = 0. What is q?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.1 + 2.1. Let p = -12 - u. Put 5, -2\/5, p in decreasing order.\nAnswer: 5, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 702716 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = 7*n + 3*z + 12, 3*n + 4 = 13*z - 4 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 437 + -622. Suppose 0 = -5*k + 2 + 8. Is 2\/((-1)\/x*k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {x: 1, s: 2, w: 3, k: 1, r: 3, v: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*i + 25, 5*j - 2*i - 14 = 42. Suppose -853*w = -852*w - 60. Let d be 4\/j + 696\/w. What is the greatest common factor of 96 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 3. Suppose -s + g = -1. Suppose -p - s = -28. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 12:32 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5694 and 34398.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7 + f - 13 - 1053*f**2 + 1057*f**2. Let b(s) = -5*s**2 - s + 7. Let q be -2*10\/(-4)*-1. Calculate q*b(l) - 6*k(l).\nAnswer: l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -707\/5 + 141. Let q = 81\/100 + -3\/50. Which is the second smallest value? (a) q (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**3 - 9*r**2 - 11. Let q(i) = -2*i**3 - 3*i**2 - 4. What is 7*q(h) - 2*s(h)?\nAnswer: -2*h**3 - 3*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 10 - 38. Suppose 1749 = 10*c - k*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243 (base 6) in base 13?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1822*c - 757*c = 991*c - 153510 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*c - 1)*(-4 + 3 - 1) + 5*c + c - 4*c + (-c - 1 + 1)*(0 + 3 - 2) + 21*c + 26*c - 46*c + 4 + (6 - 2 - 3)*(-c - 2*c + c) - 5*c + 4*c + 0*c.\nAnswer: 7*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r**2. Let c(b) = -14*b. Let j be c(-10). Let y be -8*(-5)\/j - 12\/(-7). Let z(k) = 3*k**2 - 3*k + 3*k - 4*k**y. Give l(z(f)).\nAnswer: 11*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -60. What is the remainder when ((-66 - -1) + -1)*(-1 + 0) is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164056635 (base 7) to base 15.\nAnswer: -eb0ce3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 486 = -m, m + 155 = x - m. Suppose k + x = 6*k + 3*b, -2*b - 120 = -4*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/473 and 73\/9.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 - l - l + 0*l)*(-113 + 113 - 10*l).\nAnswer: 50*l**4 + 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -476713*c**4 + 114145*c.\nAnswer: -5720556*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3*((-20)\/120)\/((-2)\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43330 by -5.\nAnswer: 8666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 9693?\nAnswer: -14\/9693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(2 - 1 - 2)*(-12*q**4 - 15*q**4 + 30*q**4)*(-87 - 17 - 50 - 40).\nAnswer: 2328*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00310997 rounded to four decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/28*2730\/(-650))\/((-1)\/(-185)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2656 + -2661. What is the nearest to -0.38 in -1.6, u, 2?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 661 + 2*t**4 - 26*t**2 - 5*t**3 - t + 7*t**2 + 4*t**3 - 1330 + 667 to the form a*t**3 + f*t + u + l*t**2 + c*t**4 and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554.77 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 226\/7 - 2\/7. Let a be (-5)\/15 - n\/(-6). What is the first derivative of -g**3 + 4*g**3 - 3 + a*g**3 - 6*g**3 wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238*s**5 + 170*s**2 + 178*s**5 - 418*s**5 - 316*s + 2 wrt s.\nAnswer: -40*s**3 + 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, t: 1, k: 1, z: 3, x: 3}. What is prob of sequence ptp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 151 and 6?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/781 and 29\/26625.\nAnswer: 292875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2560*v**6 + v**5 + 9234*v**3 - 1088264917*v**2 wrt v?\nAnswer: 307200*v**3 + 60*v**2 + 55404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5601*j**2 + 1754*j**2 + 1749*j**2 + 2100*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 4*j - 3*j)*(-2 + 9*j + 2) + 0 + 0 + j**2.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 761306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 636002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1982 and 2?\nAnswer: 1982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x**2 - 12. Let l(g) = -8*g**2 - 14. Let v(q) = 6*l(q) - 7*n(q). Let f(p) = 355*p. Calculate f(v(t)).\nAnswer: 355*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 109434, 217848, 326262, 434676?\n\"Answer: 108414*v + 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**3 - 11*p**3 + 51*p**3 - 23*p**3 + p**3 - 11*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 139, 138, 135, 130?\n\"Answer: -j**2 + 2*j + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 1496?\nAnswer: 17952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4676890089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 4. Let i be c(-6). Find the common denominator of (-75)\/(-20)*(-10)\/(-6) and (4 - i) + 10\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -389 - -773\/2. Let g = -10 - -15. What is the nearest to -1 in a, -5, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/(-42)*16\/(-252).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-27))\/(222\/(-148)*34\/(-153))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 1 - 2*r**2 + 3 + 7*r**2 + 1. Let k(v) = 4*v - 5. Let w be k(0). Determine q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 1. Let p = w + -5. Suppose -5 + p = -2*b. What is the smallest common multiple of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 457.18 + -458. Let c = u + 0.8198935. What is c rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 148170, 296330, 444492, 592656?\n\"Answer: w**2 + 148157*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -594\/103 greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1665 - 614. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (92\/(-14))\/(132\/(-222)). Let t = g - 78\/7. What is the smallest value in t, -2\/5, -0.2, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*a, -2234 = 4*b - 7*a - 33815. List the prime factors of b.\nAnswer: 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11806692607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127.103 + -127. Let s = 3.897 + w. Let p = 37\/117 - -2\/117. What is the nearest to p in -0.1, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/18)\/(125\/15 + -8). Determine b so that -2\/3 - w*b + 2\/3*b**2 + 2\/3*b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 2771 = -7*y - 2779, -2 = -z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, z: 2, q: 1}. Give prob of sequence iiq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1133, -1954, -2989, -4346, -6133, -8458, -11429?\n\"Answer: -18*d**3 + d**2 - 698*d - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + y + 2590, -559*k + 558*k + 2572 = 5*y. What is the highest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 35 = -5*c, 5*c = 2*k + 11 - 46. What are the prime factors of 1 + -2 + 4 + k\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, 0.11, -12, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + 0.45. Let b(y) = y - 2. Let c be b(4). What is the third smallest value in c, i, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 104540.\nAnswer: 418160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 5\/24*b**4 + 3*b**2 - 3\/10*b**5 + 8\/105*b**7 + 1\/30*b**6 - 3\/112*b**8 + 0 + 0*b + 1\/3*b**3. Determine u so that f(u) = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, u: 2}. What is prob of sequence ui?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 3\/7897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*f = -1, -5*h + 7 = -2*f + 2. Find the second derivative of -4*y + 6*y + 2*y - 2*y - h*y**3 wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8361.999 to the nearest ten.\nAnswer: -8360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 314 = -16. Suppose -28 = 2*y + 3*i - r, 4*y + 4*i = 612. Suppose 0 = 4*l - y - 111. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10092*r**3 - 3309*r**3 - 3315*r**3 - 3471*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 6:08 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 431*x**2 + 47*x + 149. Is u(-3) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*b + 41*b - 78*b. Suppose 5*x - 5*y + 4*y - 3215 = b, 3*y = 15. Is 46 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/6)\/(76\/228)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-170)\/2550 - (1\/5)\/(-1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.098 - 17.698. Let y = i + 18. Put y, -4\/5, -0.3 in increasing order.\nAnswer: -4\/5, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1 + (-2 - 4 + 2)*(4 - 1 - 1) + 0 - 1 - 2)*(3*s + 2*s - 6*s)*(14*s + 12 - 12).\nAnswer: 112*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 3) + 3 + -2. Let l be (s\/(-6))\/((-5)\/(-30)). Let a = l - -1. Are -1\/4 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9419, 9320, 9221, 9122, 9023, 8924?\nAnswer: 8825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 529509?\nAnswer: -5\/529509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*y - 14, 20*f = 18*f + y + 10. Let h be 1844*f\/88 + (-4)\/(-22). Calculate the highest common factor of h and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76653 and 6.\nAnswer: 153306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1404\/(-338) - (-7 - (2 - 5))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/3*(-1800)\/70. Suppose 0 = 5*x - z - 5 - d, 0 = x - 5*z - 49. Suppose 2*p = -0 + x. What is the least common multiple of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/371 + -27065\/3339. Let z(d) = d + 4. Let q be z(10). Calculate the common denominator of (15 - 13) + 86\/q and k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 + 0.39. Let c = -123.7 - -123.6. What is the second biggest value in 1, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:52 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67681 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2360\/590*(29\/145)\/((-8)\/610)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -5, 0, -0.1, 98.2?\nAnswer: 98.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 - 1 - 8*k**2 + 11*k - k + k**3 - 5*k**3. Let v be a(-9). What is the units digit of (-4)\/v*1*25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135305.\nAnswer: 5, 27061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 z when three letters picked without replacement from zmrulmrzzmlolr.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 2739 - 7029. Is z a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/4 - 2*f**3 - 7*f**2\/2 + f - 2. Let p be (4\/(-6))\/(2\/(-21)). What is the units digit of s(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m - 8. Let o be r(-12). Let j = 114 - o. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1211*z + 165*z - 497*z + 98*z as h + d*z and give d.\nAnswer: -1445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/3209?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 10*k**2 + 33*k - 32. Give x(-5).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(720\/25)*18\/(-20).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*c + 5*q + 7, -18 = 5*c - 3*q. Sort -9, 5, c, 4.\nAnswer: -9, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-5 + -2 - -5)) + 0 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1088 + 162753?\nAnswer: 161665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14199 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x + 16. Let r be a(8). List the prime factors of (-862)\/r + (-5)\/(-20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y + 16*y - 11*y)*(5 + 12 - 10).\nAnswer: 77*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + 5*b. Let h = -4 + 6. Let w(d) = 7*d**2 + 10*d. Let z(g) = h*w(g) - 5*l(g). Find the second derivative of z(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 4*r. Let p be z(-2). Suppose p*u - 13 = -3*o, 4*o + u = 21 - 8. Let 2*y**2 - 2*y**3 + 3*y**2 - y - 4*y**o + 2*y**3 = 0. Calculate y.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -204, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -178 - 422. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6*m - 3*v - 19, 7 = 3*m - 4*v. Factor 4*d**5 - 2*d**m - d**3 + 0*d**5 + d**4.\nAnswer: d**3*(d + 1)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -1. What is the second derivative of y**2 + 2*y - y - o*y**2 wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -58*o**2 + 21*o**2 + 14*o**2 + 19*o**2. Let t(w) = -8*w**2 - w. What is i(t(q))?\nAnswer: -256*q**4 - 64*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) -2 (c) -46468\/7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 13*n - 151. Solve 2*f = n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, 17\/4 in decreasing order.\nAnswer: 14, 17\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30040\/(-11265))\/((-14)\/3). Let h = 3.1 - 3. Which is the nearest to h? (a) k (b) 0.2 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from utytuuutdut?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8985276.\nAnswer: 2, 3, 271, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 130 + 2*b**3 - 30*b - 75.\nAnswer: 2*b**3 - 30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(0 + 0 + 3)*(3 + 4 - 3)*((a - a**2 - a)*(5 - 2 - 2) - 3*a**2 + 9*a**2 + 4*a**2).\nAnswer: -216*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 215 + 273 = 196 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 9*c**2 + 9*c + 1. What is the smallest common multiple of v(-4) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4 - 36. Let p(u) = 27*u - 13*u - 15*u - w. What is p(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/30 + -12*(-18)\/810?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 + 0.1. Let d = 0.04 + -0.1. Let r = t - d. Is 5 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -79*o**2 - 242*o + 9. Give t(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.35331639 to one decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 2*p**2 - p)*(5*p**2 - 3*p**2 - p**2) - 3*p**4 + 13*p**4 + 14*p**4 - 2*p**2 + 2*p**2 + 2*p**4 as k*p**4 + j + g*p**3 + b*p**2 + s*p and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = t - 45*v + 42*v, 2*t = 3*v + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 8. Suppose k*y = 6*y - 32. Let z(v) = -2*v**2 - 107*v + 922. Let t be z(-61). Which is bigger: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*(-2)\/8*2. Suppose -2*t + v + 2 = 0. Put -1, 6, -2, t in ascending order.\nAnswer: -2, -1, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -1\/42*l**7 + 0 + 0*l**5 + 0*l**4 + 0*l**6 + 0*l**2 + 1\/3*l**3 - 2*l. Find the second derivative of c(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -4*n + 12, 15 - 3 = -2*n - 3*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.1908 times 0.9\nAnswer: 1.07172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 238045 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c*d*y + 8*c*y + 10129*c - 69*d*y - 4*d + 2*y + 17 wrt y?\nAnswer: -6*c*d + 8*c - 69*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + 7*x**2 - 12*x + 1. Give w(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 5627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-402)\/78 + (4 - 1 - -2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7 + 64*c**2 + 70*c**2 + 2 - 2 - 2*c. Suppose -3*l = d + 15, -4*d + 7 + 1 = -5*l. Is j(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67 - -72 - (9 - 0)) + -11 + (-1 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s\/(s**(-2\/29)*s))**8*s**7\/s*s**12 assuming s is positive.\nAnswer: s**(1234\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*s**4)*(38*s + 305 - 305).\nAnswer: 76*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 0*u**2 - 1 + 1\/135*u**6 + 2\/27*u**3 + 0*u**5 + 2*u - 1\/18*u**4. Let h(q) be the first derivative of l(q). Factor h(v).\nAnswer: 2*v*(v - 1)**2*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -20. Let z = -33 + p. Find the common denominator of (-127)\/z + (-1 - 0) and 91\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.56 - -0.04. Let o = 1.5 - a. What is the nearest to o in 1, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101011011 + 10110000?\nAnswer: -1000010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5194 - -5190. Which is the third smallest value? (a) w (b) -3\/7 (c) -2\/3 (d) 150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/(x\/(x**(-2)\/x*x)*x)*(x**1*x)**(-4\/27))\/((x*x\/(x**(-1\/5)\/x))\/x*x\/x**(-2\/11))**4 assuming x is positive.\nAnswer: x**(-36863\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkkk when four letters picked without replacement from kykqqykkykyk?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 9:40 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, o: 2, l: 2, g: 5, f: 1, a: 5}. What is prob of sequence alx?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {x: 1, u: 3, i: 3, p: 1, s: 1, n: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8 + 3\/6. Suppose f = 2*h + 2*g - 114, -2*g + 155 + 67 = 4*h. What is the greatest common factor of 4 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z**2. Let r(y) = y**2 - 14*y + 28. Let k be r(11). Let m(f) = -4*f - 5. Let b(q) = -q - 3. Let o(g) = k*b(g) + 3*m(g). Determine o(d(u)).\nAnswer: 70*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {w: 5, e: 1, l: 2, g: 2, f: 2, a: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 1)*(-q**3 - 3*q**3 + 2*q**3)*(-3 + 5*q + 3) to the form z*q + l*q**3 + d*q**4 + v + c*q**2 and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zeea when four letters picked without replacement from kaazzzzekea.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 13*d + 90 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/4)\/((-685)\/(-16) - 1). Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-27) + (-56)\/(-9). Suppose -1500 = -b*a - 72. What is the highest common factor of 34 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biblbdhbldhiizhllz. Give prob of sequence hld.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*j - 20*j + 1 - 42*j + 33*j + 5 to q + b*j and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1700) + 2 - (-1*sqrt(612) - sqrt(204)\/sqrt(432)))**2.\nAnswer: 159953\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 48 = 3*m, -766*d + 0*m + 101 = -764*d + 21*m for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 107*c + 29. Determine t(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -26. Let g(x) = -3*x + 1. Let i(m) = m. Let w(v) = r*g(v) + 2*i(v). Give w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3988*d**2 - 146*d**3 - 4014*d**2 + 8002*d**2.\nAnswer: -146*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131\/7 - -269\/14. Let t = 103.5 + -104. Which is the nearest to -2? (a) 3 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110308666 to the power of 1\/2, to the nearest integer?\nAnswer: 33321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30257*q**5 - 138*q + 10 wrt q?\nAnswer: -605140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5956 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 - 876\/21. Let r be (-2)\/(-7) + (-4797)\/k. Let j = -118 + r. Find the common denominator of -149\/18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*d - 32, -2*d = 3*g - 6*d - 42. Suppose -g = -2*a + 3*o, 5*a + 4*o = 2 - 0. What is the units digit of (-3582)\/(-99) + a\/(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 442 + -236. What are the prime factors of b?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v + 5. Let x be f(5). Suppose -2*p + x = 8. Calculate the remainder when 21 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 13*h**2 - h - 11. Let f = 5 + -2. What is the least common multiple of f and u(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -7) + 1 - -22\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 2*c + 0*c)*(-5 + 2 + 2)*((0 + 1 - 3)*(7*c + 2*c - 3*c) + 0*c + 4*c - 3*c) + 3*c**2 + 2*c - 2*c to s*c**2 + b + u*c and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 1. Let x(y) = 8*y + 6. Suppose 3*j - 8 = 7*j. Calculate j*x(i) + 14*a(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1850*w**2. Let r(g) be the second derivative of 7*g**4\/12 + 2*g + 3931. What is s(r(t))?\nAnswer: -90650*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*x**2 + 167391*x + 66331763 with respect to x.\nAnswer: -108*x + 167391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17606283683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 - 3 - -3734) + (19 - 0) + -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 + 72\/8 - 2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 650724313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 60696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157392 and 2736.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**2 - 21 - 14 - 58*l**2 + 35.\nAnswer: -77*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -136.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/47120*-76*36\/2?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 5, 2, -0.1, 67\/2 in descending order.\nAnswer: 67\/2, 5, 2, -0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60020 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8 and 65\/115118.\nAnswer: 460472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25171555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6107, -11482, -16857?\nAnswer: -22232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5396906633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1774 - 1749. Solve -2*t + 35 = -5*u, -2*u = u - 2*t + n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99030, 198067, 297116, 396183, 495274?\nAnswer: 594395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 191, 201, 213, 227, 243?\n\"Answer: z**2 + 7*z + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1582805920040665 + -1582806020627908.9999913. Let m = s - -100587189. Let r = -55 - m. Round r to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67033741 or -67033742?\nAnswer: -67033741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - 29) + -18 - 29.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 - 392*x**2 - 247*x + 1760. What is h(-130)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6982*z - 733109. Give m(105).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -5*z - 42. Let m be (-6)\/(z\/(-215))*(-7)\/(-5). Calculate the highest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 324, -3\/7, -0.1, -0.3, 32.017, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20020 (base 3) to base 4.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*y - 7283 - 120758, 3*y - 76819 = -2*z. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n - 11. Let g(f) = 2. What is 6*g(v) - o(v)?\nAnswer: 4*v + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + -6 + (-20)\/6. Is p > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(8\/7)*g*g)**(-27)*g*g\/(g**(-25)\/g)*g*g*g**(-3\/5)*g)**(4\/5) assuming g is positive.\nAnswer: g**(-7624\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 3*u**2\/2 + u - 274. Let n be -2 - (-2 - 8\/2). List the prime factors of y(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 10:24 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 - 392*c**2 - 2972*c + 3360 = 0 for c.\nAnswer: -8, 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (372\/2790)\/((-1)\/1). Let u = 0.06 + 0.94. What is the smallest value in -2\/3, k, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009311 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64630\/16860 - 5\/6. Factor 44*u - 1\/2*u**4 + 18*u**2 + u**l + 32.\nAnswer: -(u - 8)*(u + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 14 = -26. Let v(j) = 3*j - 5*j + 3*j - r*j. Let g(q) = -3*q. Calculate v(g(k)).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 8:00 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16\/29 (b) 0 (c) -5 (d) 20359 (e) -0.1 (f) 2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2019 divide 44648166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.439, -60.\nAnswer: -60, 0.439, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10 + h + 5 + 2. Let x be u(4). Let b = -1 + 0.6. Put b, -2, x in descending order.\nAnswer: x, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4620420 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + 43*k**2 + 55*k + 40. What is v(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {x: 1, v: 2, l: 1, b: 4, e: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 357642 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5*60\/80*(-4)\/(-1) and 51?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123925*b + 21724*b - 79147*b - 91290*b.\nAnswer: -272638*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*y**2 + 4*y**5 + 142 - 36*y**2 - 2*y**4 + 7*y**4 - 142 wrt y.\nAnswer: 240*y**2 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/5 + 3951*g**3\/5 - 99482*g**2\/5 - 326088*g\/5 - 222656\/5 = 0. What is g?\nAnswer: -3976, -2, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -100132213121 (base 4) in base 15?\nAnswer: -5a4da5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2215710 and 18.\nAnswer: 2215710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 32*h**2 + 2*h - 34. Let s be t(32). Solve -3*p + s = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekkk when four letters picked without replacement from kekeekkeekekeekkke.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/176 and 157\/159107850?\nAnswer: 1272862800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9*(-555)\/296*(-4)\/(-10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -584\/7 <= -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 5. Suppose 2*t = -2*r - 16, -u*r + r + 5*t = -4. Let v(x) = -2*x**3 + 2*x**2 - x. Let y(f) = 5*f**3 - 4*f**2 + 2*f. What is r*y(n) - 9*v(n)?\nAnswer: -2*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 876437371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2 + 2 - 188736*z + 188276*z. Let u(w) = 6*w**2. What is u(i(g))?\nAnswer: 1269600*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -130ca?\nAnswer: -130cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18762703 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35905125, 71810248, 107715371?\nAnswer: 143620494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 424*a**4 - 1739*a**4 - 53*a + 702*a**4 wrt a?\nAnswer: -7356*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 49888 - 21347 = -3*h, 3*k = -h + 23750. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 10*g + 16. Let h be i(-11). Let v(w) = 2*w - 8. Let d be v(6). Suppose 0*b - 4 = d*b. Put 0, b, h in descending order.\nAnswer: h, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0203 and -0.74.\nAnswer: 0.015022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, g: 2, s: 1, j: 4, b: 2, t: 2}. What is prob of picking 1 j and 2 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*z**2 + 1062590*z + 303596.\nAnswer: 2*(z + 75899)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -16*j + 81. What is l(-14)?\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125157, -500629, -1126421, -2002539, -3128989?\nAnswer: -4505777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11023 (base 6) to base 7.\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p**2. Let q(m) = -m**2 + 1. Let s(u) = 3*u**2 - 4. Let g(r) = -4*q(r) - s(r). Calculate g(l(z)).\nAnswer: 64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.8 + 25.84. Let z = -30 - -31. Sort 2\/3, j, 2, z in decreasing order.\nAnswer: 2, z, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/11 - -1 - (20 + -19)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0738705 + -0.07327. Round t to 5 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 times 12?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1503*l = 10755 + 3239 - 29693 - 29391 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/95 + (-51)\/(-15). What is the third derivative of -86*v**6 - 190*v - 54*v**2 - j*v**6 + 190*v wrt v?\nAnswer: -10680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6671\/1986 + -17\/662. Suppose 5*k + 20 = -0*k. Let q = k - -6. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)*c)\/(c\/(c*c\/(((c**(-2\/3)*c)\/c)\/c)))*c**(-1\/5)\/(c**(2\/11)\/c*c) assuming c is positive.\nAnswer: c**(144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1518 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 442, 3, 1, -8, -5 in descending order.\nAnswer: 442, 4, 3, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(5)*2 - sqrt(5)) - (2 + sqrt(25)\/sqrt(5)))**2 - (5*(sqrt(405) + 2) - sqrt(405))**2*1.\nAnswer: -6579 - 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (0 - (-12)\/(-54)) + 0. Let g = -3 - -2.9. Let d = 0.8 - 0.3. What is the nearest to g in w, -1, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhy when three letters picked without replacement from {r: 1, h: 1, p: 1, y: 1, i: 2, z: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3\/8*f**3 - 3\/8*f**5 + 0*f + 0*f**2 + 0 + 3\/4*f**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2403, -4106, -5803, -7494, -9179, -10858?\n\"Answer: 3*i**2 - 1712*i - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Suppose 14 = 5*c - d*n, -2*n + 10 = 3*n. Let x(p) = -p + 4. Let y be x(c). Solve -3*f = 4*v - 1, v + 2*v - 12 = y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300528 (base 9) in base 13?\nAnswer: -62a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*y + 37*y + 2170. Suppose 0*x = -x + y. Calculate the greatest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 23. Let j(k) = k**2 + 12*k + 2. Let b be j(-12). Suppose 3*w - 5 - 4 = l, -y*w = b*l - 6. Which is smaller: -12\/11 or l?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -508\/1331 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0) + 0\/(-4). Suppose -o - 2 + 11 = x. Suppose 401 = 6*v + 395. What is the lowest common multiple of o and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Let n be (2\/4 + 0)\/(5\/10). Solve f = -3*r - 7 + n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-220)*-14*(-22)\/231.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*h + 2*h = -25, -3*a + 5 = -h. Let y = 7 + -7.2. What is the second smallest value in -5, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -0.1 (c) -0.5 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(7\/4)\/(j\/j**1*j*j) assuming j is positive.\nAnswer: j**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - v - v + 10, 0 = 3*v. Let b be o\/(-4)*-6*15. Suppose -4*y - y - 5*z = -b, -y + 34 = -4*z. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 987 = -5*z - 380, 0 = -4*z + 5*c + 512. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, 1 l, and 1 e when four letters picked without replacement from lemlnemeaenayenaanln.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**4\/30 - 79*r**3\/60 + 15*r**2\/4 + 54*r. Determine g, given that v(g) = 0.\nAnswer: 1, 75\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/2)\/m)\/m**18)\/(m*m**(3\/5)\/m*m*m*m**(-11)))**(2\/21) assuming m is positive.\nAnswer: m**(-37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634581 = -3*f + 167460. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 + -36. Let n(x) = x**2 - 2*x + 1. Let j be n(4). Suppose c = j*w - 7*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 953976.7 litres?\nAnswer: 953976700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 + 93*x + 348.\nAnswer: 3*(x + 4)*(x + 58)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-45)\/(-27)))\/((-18)\/(-40)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2. Let v(x) be the second derivative of 0*x**3 + 0 - 1\/6*x**4 + 21*x + 37\/2*x**2. Let c(h) be the first derivative of v(h). Determine q(c(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2. Suppose u + 2*t = 2*u + 13, -16 = 2*u - 2*t. Let y(r) = -4. Let g(n) = n + 3. Let x(s) = u*y(s) - 4*g(s). Determine x(m(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29 and 13?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 68534.97g?\nAnswer: 68534970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*x - 8*x. Let h(l) = 3*l**3 - 6*l**2 + 1 + 0*l**3 - 4*l**3 + 4*l**2. Give h(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (49\/147)\/(2 + 46\/(-24)). Let a(p) = 10*p + 1. Calculate a(c).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 15601*v + 1961757.\nAnswer: (v + 126)*(v + 62278)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/11, -3\/10, 0.7?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 111?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 12*j = -o - 2, -5*j = 4*o + 26. Let l(s) = 5*s**2 - 2*s + 8. Let a(y) = -4*y**2 + 2*y - 7. Calculate o*a(u) - 3*l(u).\nAnswer: u**2 - 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l**2 + 27*l + 63. What is d(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - c + 0*c)*(1 + 3 - 3)*(4895 + 3379 - 197) to the form w + d*c and give d.\nAnswer: -8077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 15*j**4 + 13*j**3 + 3*j**2 + 13*j + 21. Let z(r) = -7*r**4 - 6*r**3 - r**2 - 6*r - 10. Let l(u) = 6*y(u) + 13*z(u). Suppose l(f) = 0. What is f?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 65*c**2 - 44*c - 2. Determine m(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 15. Suppose -l + 3 = -4*l + 5*o, 12 = j*o. Suppose 4*k - 4*m = 52, 2 = 2*m - l. Round k to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + 7\/((-70)\/(-45)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 + 2*u**5 - 5*u**5 + (-u**2 + 2*u**2 - 3*u**2)*(-32*u**3 - 6*u**3 + u - 58*u**3).\nAnswer: 190*u**5 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-3 + 1)*-83*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 6. Let q = -19 + 25. Let x be s(q). What are the prime factors of x\/18*(-87)\/2?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*w, 2*u + 2*w = -3*w + 9. Suppose -u*r - 15 = -7*r. Suppose -v = r*v - 72. What is the remainder when 70 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446 a factor of 470900967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2244223\/689775 + -3133\/1275. Let q be -2 - 7\/(7574\/(-2160)). Let r = q - l. Put 0, r, 4 in descending order.\nAnswer: 4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 67. Let x = 51\/40 - 7\/8. Which is the nearest to x? (a) -1 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 39 - 81 = 0. Let y(d) = d**3 - 4*d**2 + 5*d - 4. Let l be y(3). Suppose l*i - 4 = b. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47823 and 513?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 959 + -932. Let i(p) = -p + 7. Let u be i(6). Sort u, -2, w in decreasing order.\nAnswer: w, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 - 2*x**2)*(-1 + 1 - 3*x) + 0*x**3 + 3*x**3 - 4*x**3 + 2*x + x**3 + x**3 + 0*x.\nAnswer: 7*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 622925\/20 - 2\/8. Let q be (2 - 135888)*165\/(-720). Let y = r - q. Find the common denominator of 139\/18 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 - (-133 + 81)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2 + 47*x**2 - 23*x + 23*x. Let l(a) = a. Determine l(i(w)).\nAnswer: 53*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, s: 2, m: 1, w: 3, x: 1}. What is prob of sequence dmwd?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5494.958kg?\nAnswer: 5494958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 413 = 3*b, 3*v = 2*b - 57 - 233. What are the prime factors of b?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26952*w + 11986*w = -4166366 for w.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 9*m**2 - 8*m - 1. Let j be i(-8). Let k be (-125)\/((1\/j)\/44). Round k to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5985 from 361628998.98.\nAnswer: 361623013.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1642)\/(-90) - (2204\/171)\/29.\nAnswer: 89\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = 3*j. Let k be (-261)\/(-270) + j + 0. Suppose s + 3 = 4*s. Is k at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319669 is divided by 9975?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 1 (c) 8 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1306478 = -35*d - 4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111000110111 (base 2) to base 5.\nAnswer: 104024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.976 - 1.176. Let d = 11 - 11.32. Let i = d + 0.02. Which is the second smallest value? (a) u (b) i (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1167 + 1165.8048. Let q = -1.2 - l. What is q rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/12)\/(7\/((-1848)\/36)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174268, -174267, -174266, -174265, -174264, -174263?\nAnswer: -174262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 10*m**2 - 6*m - 9. Let u be f(-10). Is 2\/(-4)*4 + u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -276*f**2 + 490*f + 4. Let n(i) = 554*i**2 - 981*i - 7. Let v(y) = 7*g(y) + 4*n(y). Find the second derivative of v(l) wrt l.\nAnswer: 568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, -0.7, 0.3, 80, -2\/7 in ascending order.\nAnswer: -0.7, -2\/7, 0.3, 0.4, 0.5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from ahvuhvauoavjhhaoaa?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**5 - 59927*u**4 + 3*u**2 + 578497*u wrt u?\nAnswer: -40*u**3 - 719124*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1047 or -1048?\nAnswer: -1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**5 - 1821650*v**3 - 2*v**2 + 7106413*v?\nAnswer: 20*v**3 - 10929900*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 + -1.8. Let u = 0.2 + y. Sort u, 1, -1\/3 in descending order.\nAnswer: u, 1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10813031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x + 4. Give d(4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*i + 6*t = -21, -3*i - 3*t = 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/4 and -77\/11042?\nAnswer: 22084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + j + 1)*(5*j - 3*j + 0*j)*(1 - 2 - 8) + (-j + 2*j - 3*j)*(j - 4 + 4) - j**2 + 2*j - 2*j + 4*j**2 - 4*j**2 + j**2.\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b - 15048 = 24*b. Let t be 78\/18 + (-2)\/6. Suppose b = t*w + p + 21, -209 = -w + 5*p. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132*7\/(-98) + 10)\/((-26)\/(-91)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - 111222?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - (41 - 1)) + (-36)\/(-60).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.05, 4, -5 in decreasing order.\nAnswer: 4, 0.2, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 10. Suppose 3*n - 234 = -90. Suppose c*a - n - 92 = 0. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12716960621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 2)*(-3 - 2 + 4)*(4 - 3*k - 4)*(-2*k - 3*k + 3*k + (k - 5*k + 3*k)*(-5 + 0 + 6) - k + k - k) to the form m + i*k + s*k**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 5*u. Let n be k(6). Let h be 3\/3 - (n + -8). Solve 1 = -z - 3*q + h, 0 = 3*z + 5*q + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6158*h + 6158*h + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzu when three letters picked without replacement from {s: 1, z: 2, g: 1, u: 5}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 126 and 0.2.\nAnswer: 126.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 25220*n - 1322615.\nAnswer: -5*(n - 4991)*(n - 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g**2 + 82*g**2 + 17 - 17 - 7*g**2 - 26*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3418, 9, 3, 61, -1 in ascending order.\nAnswer: -5, -1, 3, 9, 61, 3418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 37150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 11:57 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - w + 8 = 0, -5*t - 155 = -5*w - 175 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 457, 3, 2851 in descending order.\nAnswer: 2851, 457, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**5\/20 + 3*q**4\/4 + 4*q**3\/3 + 7*q**2\/2 + 3*q. Is z(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.3714 + -0.5\nAnswer: -21.8714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 10. Suppose -k - v = 9. Let j(t) = -15*t + 9. Let h(g) = 8*g - 5. What is k*h(z) - 6*j(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y + 65. Let b be i(-17). Let h be (-2)\/3*(6\/b - 0). Sort 5, 0.7, h in descending order.\nAnswer: 5, 0.7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/23? (a) 0.4 (b) 0.091 (c) 3\/7 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -377154407 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8 - 15\/8*w**3 + 15\/8*w - 3\/8*w**2.\nAnswer: -3*(w - 1)*(w + 1)*(5*w + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2270\/7 - 324. What is the closest to 0 in 3\/4, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/26*0\/((-7)\/1). Sort k, 1, 22, 79 in decreasing order.\nAnswer: 79, 22, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 92. Calculate the lowest common multiple of l and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*k)*(2*k - 62 - 32 - 214).\nAnswer: -4*k**2 + 616*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 9241763247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8042 (base 12) to base 8.\nAnswer: 33062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**4 - 32284*j**3 + 339214 wrt j?\nAnswer: 8*j**3 - 96852*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 1. Let z be n(-4). Suppose 4*b = 12, i = -z*i - 3*b + 81. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q)*(16 + 20*q - 16).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -99944*z**2 + 1. Let k(a) = 2*a. What is w(k(u))?\nAnswer: -399776*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Suppose -n - 7*p + 2*p = -18, n + 3*p - 16 = 0. Suppose -l + n = -3*w, -5*l = 7*w - 3*w + 11. Solve 4*v - l - r = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-30) - (-1901538)\/442530\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*l - 821620, -2*l + 298778 = 2*j - 29890. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-2)*(-19)\/(-4)*(-1163)\/(-44194).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*q - 5*q + 18*q to v + x*q and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 - 1. Let c = 9.37 + p. What is c rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 9*z**2 - 9*z + 10. Let w be c(8). Solve -w*l = -8 - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 < 5382\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2174974052.\nAnswer: 2, 10903, 49871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 4*c + 3. Let n be h(-4). Let y be (-8)\/(-24) - 5\/(-3). Let q(s) = -1 + 3*s - y*s - 1 - 1. Give q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 195, -3, -29, -4.29?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*s - 17*c**4 - 2*c**3*s + 4*c**2*s - 12*c**2 wrt c?\nAnswer: 24*c*s - 408*c - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 7. Let n be (1\/(-2))\/(s\/(-168)). Calculate the greatest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 28 = -5*g, 0*x = x + 3. Suppose 0 = -y + 5*y - 2*i - 714, -i - 888 = -g*y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 2*c**2 - c - 22. Let s be o(0). Let a = s - -14. Let f be (-2)\/a + 14\/(-56). Solve f = -5*x + x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = -5*a - 3*a. Does 20 divide a\/((-48)\/21 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2)\/(2\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -3472.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 4*b**2 + 5*b - 3. Let j be x(4). Suppose -2*p = -2, -j = -4*a - p - 0*p. Solve a*l - 12 = 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjiji. What is prob of picking 2 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*l, -h + 4*l - l + 7 = 0. Let g = 12 - h. Factor -g*v**2 - 4*v**2 + 4*v**2 + v - v**5 + 2*v**4 + 0*v**5.\nAnswer: -v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r**2 - 1043*r - 70. Let m be d(-7). What is the greatest common divisor of m and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*y**2 - 39 + 39)*(5 - 4 + 1)*(5 + 2 - 4)*(5*y - 2*y - 5*y + (2 + 1 - 2)*(-6*y + 2*y + 3*y) - 3 + 3 - 2*y) to h*y**3 + j*y**2 + s + o*y and give h.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44826197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/55 - -177\/110. What is the smallest value in 0, 0.3, p, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*p - 84*p + 232 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let n(y) = 2*y**2 + 97*y. Determine n(h(f)).\nAnswer: 2*f**2 + 97*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 1. Let v(q) = -21*q**3 + 2*q + 2. What is -2*g(r) + v(r)?\nAnswer: -19*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 258 and 42.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071.165 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 6 = 2*q, 6*q - 42 = q + l. Let c(o) = o - 2. Calculate c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m**4\/7 + 6*m**3\/7 - 54*m**2\/7 + 50*m\/7 - 12\/7 = 0. What is m?\nAnswer: -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*i**2 - 186164*h*i - 24*h + 14828650*i**2 wrt i?\nAnswer: -4*h + 29657300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 27 - 86*s**3 + 52.\nAnswer: -86*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 2, b: 1, a: 2, v: 1}. Give prob of sequence xv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((22 + -24)\/(-8))\/((-1)\/(-6)))\/3. Suppose -2 - s*m**2 - 5\/2*m = 0. Calculate m.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**4\/8 + 6*i**2. Let w(a) = -3*a**2. Calculate w(v(q)).\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67200 = -5048*j + 139768 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.011 in -0.4, -7.4, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 6310642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*q + 42, 2*q - 78 = 4*z - 0*q. Let t be (12\/9)\/((-4)\/z). Calculate the remainder when 18 is divided by 58\/t + (-11)\/(-33).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -6*c**2\/5 + 666*c + 3336\/5 = 0.\nAnswer: -1, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 - 3)*(0*l - 3*l + 0*l)*(-l**2 + 2*l**2 - 2*l**2) as y*l**2 + f*l + o*l**3 + j and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 3*y - 10. Suppose 4*l - w + 81 = 0, -2*w - 96 = 5*l + 2*w. Let m be (8\/l)\/(2\/(-40)). Calculate the remainder when d(m) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53632540 - 14?\nAnswer: -53632554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-7)*30)\/(-6*(-12)\/(-252)). Solve -60 = 15*n - w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045205 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)\/c**(-3\/2)*(c\/(c*c*c\/c**2*c)*c)**47 assuming c is positive.\nAnswer: c**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 divided by 1?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 12*v**2 + 7*v - 5. Is 13 a factor of f(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7407 - 3?\nAnswer: 7404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 277872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3042 + -4626\nAnswer: -7668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(10\/6))\/(12\/(-16)). Let r = 10 + 86. Suppose 0 = -v*s + r + 4. Calculate the remainder when s is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (-59 - -110) + -78.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 7*o - 21. Let a be f(-12). Let l = a - 35. Sort l, -65, -3 in decreasing order.\nAnswer: l, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724214764.\nAnswer: 2, 7, 13, 37, 53773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -27. Suppose -2*w + 0*w + k = 0. Calculate the greatest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -91 (b) -8 (c) 5350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q - 4. Let n be g(3). Let k be -2 + n + -1 + 3. Is -5 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -283 + 315. Suppose v*g = 25*g + 49. Calculate the remainder when 417 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - ((4 - -4) + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -84. Suppose 7*m - 4 = 4*w + n*m, 4*w - 1 = 3*m. Calculate the least common multiple of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.2 + 7.2. Sort t, -0.1, 81 in increasing order.\nAnswer: -0.1, t, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2)**(-19)*(z*z**(-2\/7))**35*(z\/z**(-2))\/(z*(z**6\/z*z)\/z)*(z*z**(1\/14)*z)\/z**(-2) assuming z is positive.\nAnswer: z**(-167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3\/4, -0.1, 0, 0.4, 0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaf when three letters picked without replacement from {d: 3, a: 2, f: 1, t: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4076968.\nAnswer: 2, 7, 47, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 12, 5*s - 31 = -0*q - 4*q. What is the remainder when 35 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-4) + 10\/(-2) + 6. What is the nearest to -0.1 in -1\/8, -2\/5, q?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 + 18. Let z be f(0). Let r(g) = 10*g + 62. List the prime factors of r(z).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.3, 2, -0.4.\nAnswer: -0.4, -0.3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(475) - sqrt(19))**2 - (-4*(sqrt(19) + sqrt(475)) - sqrt(19))**2) + -2 + (-2*(-1*sqrt(76) - sqrt(76)))\/sqrt(4).\nAnswer: 4*sqrt(19) + 4102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -110.9. Which is the closest to x? (a) -0.13 (b) 4 (c) -0.2 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5*p + 13 = 0, -22*x + 2 = -21*x - 4*p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 8*k - 12. Let x(w) = -w**2 - 6*w + 9. Let y(v) = 3*b(v) + 4*x(v). Let r(u) be the third derivative of -u**4\/4 - u**2. What is r(y(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2 + 8*u - 1. Let v(c) = -11*c**2 + 17*c - 3. Let r(n) = -7*h(n) + 3*v(n). Suppose -3*w + 25 - 7 = 0. Does 14 divide r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 12:17 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from ssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*z**5 + z**3 - 117831*z**2 + 9262673*z.\nAnswer: 320*z**3 + 6*z - 235662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(-1*sqrt(76) - sqrt(76) - sqrt(76)))\/sqrt(4) - -2*(5 + sqrt(19) + sqrt(1216)*1 + sqrt(1216)).\nAnswer: 12 + 31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9539230297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 - 1793836*x**2 + 5979407*x + 7773246 = 0. What is x?\nAnswer: -1, 13\/3, 597942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**5\/20 + v**4\/6 + v**3\/3 - v**2 + v. Let i be m(-2). Suppose 5*s + 330 = i*s. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -241 - -245. What is the biggest value in -89, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 0*j)*(-1492*j - 3286*j - 14365*j - 7728*j - 7624*j).\nAnswer: 34495*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -9. Suppose c + l = u - 0*u, c + 41 = 4*u. Let t = 22 + -3. Calculate the remainder when t is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2738 and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*t*w**3 + 3*t*w**2 + 38*t*w - 12*w**3 - 3*w**2 wrt w.\nAnswer: -84*t - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5. What is the nearest to l in -2\/13, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/133583 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3))**(5\/16)\/(b**2)**(3\/37) assuming b is positive.\nAnswer: b**(161\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -716 - -1262. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80592\/(-40)*(8 + -5 - 8) a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 6*v - 4. Calculate i(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6419085 is divided by 427.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9*d)\/d**16 assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01070084563 rounded to six decimal places?\nAnswer: -0.010701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 13751955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 12) to base 13.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 14 + 89 + 26)*(489*w - 638*w - 262*w) in the form x*w + f and give x.\nAnswer: -49731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**7\/21 + q**5\/10 + 14*q. Factor t(b).\nAnswer: -2*b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23111854 - 23452104.37. Let f = n + 341623. Let k = 1367 - f. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 42. Let a(w) = 2*w - 3 + 5*w**2 + w**3 + 7 + 2. What is a(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 5*o + 3. Let p be s(6). Let u = p - -30. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + 14*y**2 + 9. Let r(f) = 3*f**3 + 15*f**2 - f + 9. Let n(t) = 4*h(t) - 3*r(t). Calculate the remainder when n(11) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 26 = 6. Let h be 2\/16 - 23\/c. Let g(p) = -2*p - p - p**h + 2*p - 3. Give g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eboo when four letters picked without replacement from ybove?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 4\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3762380 is divided by 1021?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1539) + -1*sqrt(1539) + -1 + sqrt(228)\/(6*sqrt(24)\/sqrt(2))).\nAnswer: -4 + 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 4\/7 (c) -2.26 (d) -1\/10 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8218, 9491, 10764?\nAnswer: 12037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + 0.11. Let i = 11.4 - 11. Let t = -0.04 - 1.96. Which is the third biggest value? (a) i (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120 - -200?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/27 + 11\/27. Let i be (-2)\/(-4) - 15\/22. Let p = 144 - 139. Which is the biggest value? (a) r (b) -5 (c) i (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -177*b**2 - 331*b + 73. Differentiate j(h) with respect to h.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvpxxvxxppxxvxzx. What is prob of picking 1 x and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1823*j**3 - 1825*j**3 + 164 + 194 - 358.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 + 2*t - 20 + (4 + 3 + 3)*((-4*t + 4*t - t)*(1 + 0 + 1) + 5*t + 0*t - 6*t).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 1, z: 2, p: 1, y: 2, g: 1}. Give prob of sequence dp.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 11*i - 6. Let b be o(12). Let x(f) = -2*f**2 + 9*f + 21. Let d be x(b). Let a(l) = l**3 - 4*l**2 + 4*l - 1. Determine a(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -32*s**3 + 13*s**2 - 3*s - 5. Let i be b(-10). Suppose 9*t - 83320 = 4*t - 5*z, 0 = 2*t + z - i. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + f - 3. Let u(t) = 2*t**2 + 3*t - 6. Let c(p) = 5*r(p) - 2*u(p). What are the prime factors of c(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 29750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 12 = 4*o. What is the closest to 0.1 in 4, 13, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -2*x + 136557 - 390646. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64, -463, -1562, -3709, -7252?\n\"Answer: -58*j**3 - 2*j**2 + 13*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*j = 8*a - 35, -15 = 4*a + 7*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = -40. Let g be z\/(-25) - (-38)\/5. What is the greatest common factor of g and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4271 + -2785. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -527 in 1.049, 2\/15, 5, -0.2, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 4, m: 1, l: 1, c: 6}. Give prob of sequence yy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1894\/37 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q - 2 = 0. Let s be (-3)\/(((-3)\/(-2))\/(-1)). Suppose 5*g + 1 = -u + s, -q*g + u = 1. Is 0 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 16*z**2 - 18*z + 34. Give q(15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrv when three letters picked without replacement from vmmvmmrvvt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 2, r: 1, d: 1, u: 4}. What is prob of sequence ur?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + l - l + 6*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -17*y - 4. Let v(a) be the third derivative of -11*a**4\/8 - 4*a**3\/3 - 9*a**2. Let l(c) = 5*k(c) - 2*v(c). Is l(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16157 is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 43*d - 256. Let b be c(10). What is the highest common divisor of b and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*b**2 + 83*b**2 + 91*b**2 + 92*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42105, 168396, 378881, 673560, 1052433, 1515500, 2062761?\nAnswer: 2694216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22672513*s**2 - 13192003*s?\nAnswer: 45345026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84307 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21.3? (a) -3 (b) 1 (c) 4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*l - 4, 7*f - 9*f = 4*l. Suppose -8*b + 162 = -f*b. What is the greatest common factor of 6 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 - 10*r + 3 + 30 wrt r?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1260) + sqrt(1260)*1 + sqrt(1260)))\/(4*(sqrt(42)\/sqrt(6)*4 - sqrt(7))).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:36 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*(-52)\/104 - (-142)\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**2*s**2 + 112*r**2*s + 418*r**2 + 8 wrt s.\nAnswer: 2*r**2*s + 112*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14803\/12 - 1231. Suppose 2*d - 10 = 0, 6 + 16 = -3*r + 5*d. Find the common denominator of u and (0 - r)*(-86)\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-4))\/(18\/24). Solve -5*c + 21 = 2*k, -5*c = 3*k - 6*k - s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6008184*s**2 + 10167529.\nAnswer: -12016368*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4527 less than 1.3?\nAnswer: 1.7527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -3.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - 3*q)*(8*q + q + q) + 21*q**2 - 2*q**2 + 2 + 3*q**2.\nAnswer: -8*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 365*h**2 + 4*h - 1. Let y be o(-1). Let x = 605 - y. Calculate the highest common divisor of 98 and x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from rfrfrr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 1570108867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/2 + 719*p**4 + 697429*p**3\/2 + 64878246*p**2 + 4071087378*p = 0. Calculate p.\nAnswer: -557, -162, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (-1)\/((-120)\/117 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -15, -23?\n\"Answer: -8*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 3*u**2 + u + 3*u**4 - u**4 + 5*u**3 to l*u**4 + s*u + d + y*u**3 + p*u**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2293 - 2297. Which is smaller: f or -119\/33?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1840\/22 + 13608\/(-162)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2845179777 less than -0.056?\nAnswer: -2845179777.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 - 5) + 5 - 2) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -2*a + 100 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232330 - 3?\nAnswer: 232321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 85646787?\nAnswer: 256940361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + x + 2. Let f be w(0). What is the second derivative of 2*a + 2*a - a**f + 3*a**2 + a**2 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*n - 21. Let k be n - ((-39)\/40 - -4). Is k less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -323.4322776 + 151.4323. Let j = h - -172. Round j to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/5)*o*o**(2\/17)*(o**(1\/2))**(-1\/49) assuming o is positive.\nAnswer: o**(12557\/8330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 4. Let u = -24 + 19. What is b(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1508718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 8*x - 6. Suppose 25*b = 27*b + 4. Let y be ((-7)\/(-7))\/(b\/10). Calculate f(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o**2\/4 - 147*o\/4 - 588 = 0 for o.\nAnswer: -7, 112\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124 - 121. Let m be (-5)\/(25\/(-34890))*(2 - v). Let x = -11978 - m. Round x to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c + 5*c + 2*c)*(-2 - 5 + 5) - c - 3*c + 5*c - 2.\nAnswer: -27*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*p + 371*p - 20 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 291*d**2 - 12*d - 3 wrt d?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6095418 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1057.5, -54, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = b + 80, -b = -4 + 2. Let v = f + -161\/2. Let 0*j - v*j**4 - 3\/2*j**2 - 3*j**3 + 0 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*i + 6. Suppose -2*t + 4*k + 1019980 = 0, 401183 = t + i*k - 108832. Round t to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, -3\/2, -0.016, -3\/8?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 127*m**3 + 118*m**3 + 4*m**2.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 243 - -3?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g. Let f(q) = 3054189*q**2. Calculate f(w(z)).\nAnswer: 27487701*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 7*s + 2*s + 17, -5*s = j - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 32\/13, 0.051?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 562892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/2, -921, 2, 0.1, 5\/3, 0.2?\nAnswer: -921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-63) + (-172)\/(-36). Suppose -z*n = -5*o + 225, -5*n - 15 = -0*n. Calculate the remainder when 81 is divided by o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 957907759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 327, 1025, 2315, 4377, 7391, 11537?\n\"Answer: 30*q**3 + 26*q**2 - 2*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*a + 1859628 = 113*a + 1864020 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1334 and 1011471?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -716, -7, 4, 3, -1\/3, -3\/8, -349?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -287210897*a**3 + 314341090 wrt a?\nAnswer: -861632691*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 10*t + 1. Let j be u(2). Let h = j + -12. Suppose -h = 2*d - 5*d. Which is bigger: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/4 + (-3)\/12. Suppose 2*k + 0*k + 10 = 0. Let n = k - v. Let s(f) = -f**3 - 3*f**2 - 2. What is s(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18909 and 86332.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 30. Let a(b) = 2*b**3 - 4*b**2 + 3*b. Let w be a(h). Calculate the least common multiple of w\/((-165)\/(-50) - 3) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 155364?\nAnswer: 2330460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 36643 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -4. Suppose 0*y + t = -4*y. Which is smaller: -1\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 12:34 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s. Let a be g(1). Let w be 4\/(-10) - a\/(-5). Suppose 694 = 5*n + 719. Sort -2\/7, w, n.\nAnswer: n, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 2*l - 5*l)*(0*l**2 + 0*l**2 - 3*l**4) - 3*l**5 - 1 + 19*l**4 - 19*l**4 + (-l + 3*l**2 + l)*(-16*l**3 - 12*l**3 + 2*l**2 + 19*l**3).\nAnswer: -24*l**5 + 6*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7 - c - 17 + 37. What is the remainder when k(0) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77322 by 2092.\nAnswer: 38661\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 223.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyytyyyyyjkkyyyy. What is prob of picking 1 y and 1 t?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 16 = -r + 2*z, r + 4 = -2*z. What is the hundreds digit of (r - -927) + (-2 + 6)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-6)*2 - 0. Let n = -149 + 147. Let q be 1*(24\/(-15) - n). Which is the closest to q? (a) 0.2 (b) 0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3 + 65635*q**2 + 1245260*q = 0. What is q?\nAnswer: -13108, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/42150848 and 31\/21075424?\nAnswer: 42150848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejz when three letters picked without replacement from xjxjxxjxjxxjxzejjxzx?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Let l(i) = 2*i + 2. Let z(t) = -t - 1. Let p(x) = 3*l(x) + 5*z(x). Let s(j) = j + 1. Calculate f*s(d) - p(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 11*o**2 - 2*o + 7. Give b(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9350 + -14010.67228.\nAnswer: -4660.67228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 228.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 132 + 192 = 0. What is the remainder when 17 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3544*r + 13. Let u be g(-1). Let z = -2195 - u. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 25, 4*o - m - 11646 - 3193 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 2*j + 2*j**2 + 9 + 0*j**2 - 2*j**2 - j**2 + (1 - 4 + 1)*(0*j - 2*j**2 + 0*j) + 5*j**2 + 2*j**2 - 5*j**2.\nAnswer: 5*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/46 (b) 18\/11 (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjajkyaaykadayya. What is prob of picking 1 k, 1 a, and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/7 - 830596*r\/7 - 172472428804\/7.\nAnswer: -(r + 415298)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 3596\nAnswer: 3595.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1738 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 469 and 223847.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*w + 3 + 4 = 0, 3*s - 39 = 3*w. What is the units digit of (1086\/(-9))\/((-3)\/s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 220 = 261 - 5. Calculate the lowest common multiple of k and 340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 17*n**2 + 11*n + 12. Let g be i(-4). Suppose 2100 = 39*l - g. Is l a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12391217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.124 + 19.276. Let g = c + -15. Let x = g - 4. Sort x, 0, 1\/2.\nAnswer: 0, x, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1463 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.04, -4, -0.2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 651, 645, 635, 621, 603, 581?\n\"Answer: -2*p**2 + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1754.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(44)\/sqrt(396) - sqrt(4)))**2.\nAnswer: 252\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + b + 4. Suppose -2*v = 2*v. Let z(s) = 1 + v - s + 2. Let k be z(3). Determine w(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/284, 2\/9, 0.5?\nAnswer: -1\/284","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -70*u**4 + 5*u**3 + 1120*u**2 - 80*u = 0.\nAnswer: -4, 0, 1\/14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560861 by -133.\nAnswer: 4217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-254)\/635*-4*(-15)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386377 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 25183 = -24875. Suppose -3*g - g = -168. What is the remainder when g is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 15828987.6s?\nAnswer: 183.205875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 11 + 2 = 5*f - 4, 3*f + 12 = 6*y - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619 = -395*u + 6096 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -624?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 237083 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 4, b: 3}. What is prob of sequence wb?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 6*n**2 + 2. Let w be x(-6). Let u(k) = 2*k**2 + 0*k**w - 4*k**2 + 5*k**2. Let p(l) be the first derivative of 4*l**3\/3 + 1. What is p(u(g))?\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l = 0. Let f be l + (1 - (-90)\/(-3)). Let m = f + 42. Calculate the remainder when 37 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50227 - (-22 - -37)\/(0 + 3). Suppose -14*a = -h + 2412. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 883864165 and 883864165 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33272\/(-499080) - ((-391)\/5)\/(2 + 1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -665, -2132, -4439, -7586, -11573, -16400, -22067?\n\"Answer: -420*g**2 - 207*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.422397ng in grams?\nAnswer: 0.000000001422397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**3 + 1908*t**2 - 404496*t + 28584384 = 0.\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, 1 y, and 1 l when four letters picked without replacement from {y: 2, q: 2, m: 2, k: 1, n: 1, l: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00647345423 to 6 decimal places.\nAnswer: 0.006473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 2 - 2 + (1 + 3 - 5)*(10*j - 7*j + 7*j).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 56 = 17. Solve -2*a + 4*m = -19 + 1, -a = -3*m - y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 2*g + 2, -2*t - 1734 + 1718 = -3*g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**8\/10080 + b**7\/2520 - 29*b**3\/6 - 10*b. Let c(t) be the second derivative of m(t). Factor c(n).\nAnswer: n**3*(n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/20)\/((-2)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, o: 9}. Give prob of picking 1 z and 2 o.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 1 = 4*s, 3*a = 2*s + 2 - 1. Suppose -l + 420 = 2*c + l, -s*c + 849 = -5*l. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-20)*-4*(-50)\/(-840)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -28 + (-4 - -1) + -1. Let x = m + 71. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 3132021031332?\nAnswer: -3132021031322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.0532 - -0.0532. Let w = 0.07 - -2.93. Which is the smallest value? (a) n (b) -13 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 10997*x + 33. Let s be t(-5). Let w = -168851\/3 - s. Let r = w - -127981\/96. Find the common denominator of r and 95\/28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 3*r - r)*(-3*r**3 - 6*r**2 + 6*r**2) - 88*r**3 + 88*r**3 - 29*r**4.\nAnswer: -35*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6165375, 6165388, 6165411, 6165444, 6165487, 6165540?\nAnswer: 6165603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 minus 5?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 12 = -5*v + 3*m + 7, 135*m - 1215 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 0*a - 1\/24*a**4 + 0*a**3 + 4*a**2 + 0. Let d(k) = -k**2 - 4. Let z(f) = 1. Let n(g) = d(g) + 4*z(g). Determine n(x(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -300 and -1494\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40064*s - 2*j - 10 = -40063*s, 32 = -6*s - 5*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -0.5, -0.2, 4\/9, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -40*i**2 - 3*i - 2. Let s(g) = 80*g**2 + 6*g + 4. Let j(z) = -5*m(z) - 2*s(z). What is the second derivative of j(u) wrt u?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-24)\/(-18))\/(-39*(-6)\/27).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -1\/7, -1\/6 in descending order.\nAnswer: -0.03, -1\/7, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 16 = 8. Let n = -8 - -11. What is the remainder when n is divided by (-1)\/(-6 + y)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -2)*(64\/(-6))\/(-8). Suppose 0 = -l - 3*l + 4, 0 = -3*a - h*l + 10. Let f(w) = -w**3 - 4*w**2. Let v be f(-4). Solve v = a*n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:28 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.832893 nanoseconds to milliseconds.\nAnswer: 0.000005832893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (256 + -277 - (-13 - -2)) + 121?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1860 and 69\/20.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**7\/1260 + 5*z**4\/4 + 15*z. Let a(c) be the third derivative of x(c). Let s(t) = 5*t. Give a(s(w)).\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -2*d**7\/7 + d**3 - 5. Find the third derivative of l(i) wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7 - k**2 - k**3 - 7 wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206 and 16789.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3364*q + 4988 = 1760*q + 1720*q for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/20)*d\/d**18 assuming d is positive.\nAnswer: d**(-339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.132119 - 3221.\nAnswer: -3222.132119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -859*i + 2. Let a be b(2). Let m = 283001 - a. Let d = -744717 + m. Round d to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(12\/4) - -2. Let b be 12\/((-12)\/q) - -6. Suppose -3*n - 3*c = -99, -2*n - 6*c = -c - 66. Calculate the greatest common factor of n and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1223 + 230423?\nAnswer: 224200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*t + 1075*t**4 + 65*t - 4599*t**4 + (-34*t + 34*t - 6*t**3)*(2 - 2 - 2*t) to h*t**2 + d*t**4 + v*t + u + s*t**3 and give d.\nAnswer: -3512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.4 - -8.6. Let k = s - 32. Let h = -179\/118 + 1\/59. Which is the third smallest value? (a) h (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 36 = -0. Calculate the least common multiple of f and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (14 - 10) - -28?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -416002*d**2 + 3*d + 415113*d**2 - 2 - 6*d in the form h*d**2 + j*d + u and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**4\/8 - 5*k**3\/2 - 495*k**2 - k. Calculate t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 4 - 3 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 11*q + 51. Let m(i) = -4*i**2 + 10*i - 51. Let v(b) = 2*m(b) + 3*n(b). Let w be v(9). Solve -2*h - h = w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 9*q**2 - 9*q + 10. Let y be a(8). Solve 5*l = -2*s - 0*s - 13, -1 = y*l + 5*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - 3. Let u = l + 9.01. Let j = -5.99 - u. What is the smallest value in -2\/17, j, 3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5171550 divided by -10\nAnswer: 517155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1152 and 864.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 - -6020?\nAnswer: 6053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 13 + -79 - (-148 - -121)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65606*f + 1 - 68038*f - 1.\nAnswer: -2432*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 6:58 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -863550 (base 9) in base 12?\nAnswer: -209823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, -0.2, 2.3, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 8*h - 9. Let z be d(-3). Let w be (z + 7 - 0)\/((-2)\/(-23)). Put -1, w, 0, 1 in decreasing order.\nAnswer: w, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4, -9\/16, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:27 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -21. Let d(t) = 4*t - 20. Let v(l) = -l + 7. Let b(c) = i*v(c) + 2*d(c). Give b(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 7 = -483*z + 480*z, 4*q - 3*q = -5*z + 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -325096*r**4 - 442721 wrt r.\nAnswer: -1300384*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 5*j**2 - 6*j**2 - 5*j**2 + 11*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330 + -21003?\nAnswer: -22333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 5)*(-9*d + 42*d - 10*d)*(-3*d**3 - 2*d + 2*d).\nAnswer: -138*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/3, -0.4, 1.08, -2\/3, -0.1, -99?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 2 in decreasing order.\nAnswer: 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72207399 is divided by 262572?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p = m + 26*p - 2, -6*p + 14 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -59*v + 17280. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 15. Calculate the lowest common multiple of h and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/8 - 19\/24. Suppose -6*n + 3*n = -x - 5, 5*n = -3*x + 27. Suppose k = i + x*k - 4, -5*k = -i + 4. Put z, -2, i in ascending order.\nAnswer: -2, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101000010 (base 2) to base 16\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkimmd. Give prob of picking 1 d and 2 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -372436 divided by -21908?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 - 2*r**3 + 3*r + r**3 + (r**2 + 4*r**2 + 0*r**2)*(8*r + 2*r - 5*r).\nAnswer: 23*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**6\/360 - 13*j**3\/2 - j**2 - 21*j. Let v(u) be the first derivative of t(u). Let a(h) = 9*h - 7*h + 5*h. Give a(v(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -0.3, -4\/3, -7978.\nAnswer: -7978, -1.4, -4\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 82996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 14*z**2 + 14*z - 10. Let p be (13\/(-2))\/(4\/(4*-2)). What is x(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c - 2*c + 0*c)*(-1 + 2 - 3) - 4*c - 2*c + 4*c - 2*c + 0*c + c - 2*c + 4 - 4)*(5 - 6 - 13)*(-c + 3 - 3).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -21*q - 21. Is 14 a factor of c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60.8 - 61. Let l = -7.0782 - -0.0782. Let t = -0.2 - -1. Put l, t, u in descending order.\nAnswer: t, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1548301 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4529*a. Let c(w) = -w**2. What is z(c(u))?\nAnswer: -4529*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56805793.\nAnswer: 11, 683, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 99340291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4 + (-614)\/(-154)) - -2. Does 49 divide (-14)\/21*h*(-6)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15288 and 67704.\nAnswer: 473928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 921853087 to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*(-1 + sqrt(1539) + 1) - (5 + 3 + (sqrt(684) - (sqrt(684) + 0)))))**2.\nAnswer: 864*sqrt(19) + 24768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-10 + 6) - 5) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**3*s**2 - 91*f**3*s - 15*f**3 - 596*f*s**4 + 7 wrt s.\nAnswer: 6*f**3 - 7152*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w. Let f(r) = -r**2 - r - 2. Let q(k) = -3*k**2 - 4*k - 12. Let t(a) = 6*f(a) - q(a). What is t(p(g))?\nAnswer: -12*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, 3\/35, -4?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + u. Does 2 divide i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0 - 6. Let b be 0 - -1 - 0\/q. Let w(d) = -25*d. What is w(b)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26266 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:42 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -a + 5*a. Let f = a + -3. Suppose 2*k - 2 = f. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/318493, -64, 0.4 in increasing order.\nAnswer: -64, 2\/318493, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 11*j + 18. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -920, -936, -966, -1016, -1092, -1200, -1346, -1536?\nAnswer: -1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/105)\/((-2)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91168442?\nAnswer: 2, 2131, 21391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/(2\/(-4)). Suppose -2*g - 3*l = -6, g + z*l = -l - 2. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((-1)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 + 11*c**2 - 3*c - 8. Let a be b(5). Suppose 3*h + x = 0, 4*x = -a*h + h. Solve h = p - 4, 0*p = -2*v + 2*p - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 1088.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2 + 2*s**2 + 7*s**4 + 23*s**3 - s**5 - 3*s**5 - 25*s**3 = 0. Calculate s.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in minutes?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + 4082943?\nAnswer: 4082955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(720)*-2*2 + 6*(sqrt(720) - (sqrt(720)*2 + -4))**2.\nAnswer: -624*sqrt(5) + 4418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5450 by 109.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40897*c - 1134 = -40816*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 325.139 - 325. Round a to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478750801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 106 - 173 = 0. Let d = 97 + k. Solve -u - 3*u = d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-10))\/7*2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**4 + 20*l**3 + 16*l**2 - 80*l = 0?\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168820379*d**4 - 647630287*d wrt d.\nAnswer: 2025844548*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j - 1 + 13. Let m be (j - (-2 + 0 - 2))*5. Suppose k - 26 = 244. What is the greatest common factor of m and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11060.\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -145 - -253341?\nAnswer: 253152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24496 and 38096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15525)\/575*(1*-1)\/(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.750387 centimeters?\nAnswer: 67.50387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6160 to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/1*((-11)\/(-11))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 2. Suppose -4*h - 4 = -2*q, -q = 3*h + 4*q - 23. Let g(x) = -x. What is h*c(b) + 2*g(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 8*x**2 - 7*x - 10. Let b(j) = 4*j - 3. Let i be b(3). Suppose 0 = 2*r - 9 - i. Let d be h(r). Solve 5*u + 2 = -d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/12 and 61\/174.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*n*p**2*r**3 - 8945*n*p**2*r**2 - 21*n*r**2 - 139*n + r**3 + 2*r**2 - 3*r wrt p.\nAnswer: -44*n*p*r**3 - 17890*n*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*h - 4. Let p = 97 + -177. Is h\/(p\/44 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 217168, 434275, 651382, 868489, 1085596, 1302703?\n\"Answer: 217107*u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(33) - sqrt(99)\/sqrt(3)))\/(sqrt(27)\/(sqrt(9) + sqrt(81)) - sqrt(3)) - ((sqrt(99) - (sqrt(99) + -1)*1) + -6*(sqrt(99) + -1 + sqrt(99))))**2.\nAnswer: -504*sqrt(11) + 14305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.6 + 1.6. Which is the closest to -1? (a) -3\/4 (b) -2\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9620459 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 - -185.\nAnswer: 184.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + v = 230 + 99, -a - 3*v + 329 = 0. Let o = a + -1. What is the greatest common divisor of o and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3478\/9, 15, 0.04, 0.07?\nAnswer: 3478\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1*-3)\/(921\/20569)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1240 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + ((sqrt(104) - 2*sqrt(104))\/sqrt(8) - sqrt(13))**2 + 3.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 1:39 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + 81. Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i + 9 = 0. Let g = -5 + i. Suppose -g*m + 42 = -m. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = 27*a + 36. Sort -4, -1, a in ascending order.\nAnswer: a, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 443.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -70021 times 2.6\nAnswer: -182054.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -331 - 290*s + 172 + 159 to a*s + x and give a.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 31 = -5*b - 7, -b = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8015 is divided by 631?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 32469.\nAnswer: -14\/10823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291561 greater than 1291561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 * -10.149\nAnswer: 24.3576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -915\nAnswer: 26\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/6)\/((14\/(-4))\/(-7)). Suppose 5*k = -p + 7, -4*p + x*k = -2*p - 1. Suppose 0*y - p*v = -4*y + 706, 4*y - 736 = -4*v. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 4 = 25*r, 5*r = -5*y + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -16*v + 15. Let l be 3\/21 - (-250)\/(-35). Is u(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 144 + -228. What is the units digit of (1*-1)\/(7\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0811 less than or equal to -0.52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2188\/265 - 3\/53. Let b = -359\/45 + w. Is b at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 342*s**2 - 4 - 624*s**2 + 10*s - 1055*s**2.\nAnswer: -2021*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 36*u - 1050 = 25*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 5*x**2 + 3. Let q be (2 - 0 - (13 - 9)) + 1. Let j(l) = l**3 + l**2 - 1. What is q*v(i) - 6*j(i)?\nAnswer: -5*i**3 - i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 22734?\nAnswer: 22734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/26 - 14\/(-91). Solve q = -2289*c + 2288*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -43, -4 in increasing order.\nAnswer: -43, -4, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 1. Suppose 0*n = -4*n - 48. What is r(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2. Let i be w(1). Suppose 0 = 4*u + 4*p + 44, 5*p + 5 + 8 = 2*u. Let c = u - -7. Solve i*k + 4 = -c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 879, 892, 919, 966, 1039, 1144, 1287, 1474?\n\"Answer: v**3 + v**2 + 3*v + 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -340167.9348 + 340036. Let c = 132 + t. Let u = c + 36.8348. Round u to 0 decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47893*m**5 + 6942*m**4 + 2*m**3 + 227791136*m**2.\nAnswer: 2873580*m**2 + 166608*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20742340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x + 194. Calculate n(27).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.023 > 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -122 * -0.0632.\nAnswer: 7.7104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.18471 + 0.08519. What is x rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (15 + 0 + -5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*z - 17*k = -659*z + 97, -5*z = k + 65 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2 and -59\/591128.\nAnswer: 591128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wllllwwllwwlw. Give prob of picking 1 l and 2 w.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 876.4627um to meters.\nAnswer: 0.0008764627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p - p)*(-3*p + 2*p + 0*p) + 11*p**2 + 4*p - 2*p**2 - 7*p**2.\nAnswer: p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnnnnndndnnn. Give prob of picking 3 n.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 36. Let z = i + -24. Let n(l) = -l**2 + 2*l + 4. Let y be n(4). Sort -5, z, y.\nAnswer: -5, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -229? (a) 3 (b) -0.7 (c) -2\/3 (d) -5\/3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10124792 and 9592.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -549 - -529.33. Let f = k - 2.43. What is f rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + 0.3. Let u = 28 - 17. Suppose 5*p + 5*z + 15 = 0, 3*z - u = 2*p + 6*z. What is the second biggest value in -2, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**13*q*q\/(q*(q\/(q\/(q**(-3\/8)\/q)))\/q)*(q**(2\/9))**(-1\/20) assuming q is positive.\nAnswer: q**(5891\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.2, -3, 1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 - 4*q + 1. Determine c(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-2))\/((-4)\/8). Let c = n - 6. Calculate the highest common factor of 63 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5.8 (b) 84 (c) -1\/6 (d) 7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4125*m**2 - 305 + 602 - 297 + 24973*m**2 to r + u*m + l*m**2 and give l.\nAnswer: 29098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:50 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0*(-2)\/10)\/2. Let l(o) be the second derivative of o**2 + o**3 + x + 1\/10*o**5 + 3*o + 1\/2*o**4. Factor l(z).\nAnswer: 2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170681 by 659.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7\/4*a**4 - 4*a**3 + a**2 + 0 + 0*a = 0 for a.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -113933, -455734, -1025411, -1822970, -2848417, -4101758, -5582999, -7292146?\n\"Answer: -a**3 - 113932*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 9:42 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8980 - -9036. Solve 107*d + x = 99*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from llluljwljllulluu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(4\/5)*w\/w**(-1\/2)*(w**(-1)\/w)**(-8\/9))\/((w*w**(1\/5)*(w*w\/(w**(1\/3)*w))\/w)\/(w*w*w*w**(1\/7)*w*w\/w**(1\/4)*w)) assuming w is positive.\nAnswer: w**(2143\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 - 2*d**2 + 3*d**2 + (-5*d + 4*d + 2*d)*(d - 2*d + 0*d) - d + d + 2*d**2 + (5 - 2*d - 5)*(-3 + 2*d + 3) - 1 + 1 - d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from nexlrttlttlttlttt.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*a + 4*p, -4*p - 10 = p. Solve v = -w, 5*w - 4*v + a = -28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1839516701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:23 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (18 + -1 + -29)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -268987*n**3*q - 8658*n**3 - q - 6 wrt q.\nAnswer: -268987*n**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 513117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 127.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(6*16\/928) + (7 - -1). Solve -126*p - r = -93*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9035\/246 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36019150 is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 948570 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 5 - 8 + 927*n - 5.\nAnswer: 927*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.4. Let r = 385 + -383. Which is the second smallest value? (a) t (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 2)*(-l + 3 - 3 + (-3 + 3 - 1)*(2*l + 1 - 1) - 2*l - 3*l + 6*l - l - 5*l + 3*l)*(-1 - 1 + 4) as m*l + w and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - 1\/(3606\/1203 + -3). Suppose 9*o - u = 179. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1049*l**5 + 1658*l.\nAnswer: -20980*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (480\/(-48) - (7 - -40))\/((-12)\/16).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a minute in seconds?\nAnswer: 1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -7. Let z be (-2 - 10\/(-6))*61. Let n = z - -20. Which is the third smallest value? (a) k (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Suppose 0 = 7*r - 0*r. Let q(a) = r*a - 6*a + 4*a. Calculate q(d(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 280*t**2 - 3039*t - 3275*t - 4*t**3 + 1414*t.\nAnswer: -4*t*(t - 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - ((-611 - (1 + 0)) + -5). Calculate the greatest common factor of z and 2788.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1480)\/60)\/(1\/(-18)). Let r = l + -444. Solve r = -6*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 2*d**7\/35 + d**5\/4 + 16*d**2. What is the third derivative of o(c) wrt c?\nAnswer: 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.032 + 56.032. Let u = 157153 - 157152. What is the closest to u in -2\/7, -5, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1255842 and 17\/756.\nAnswer: 7535052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*g + 58 = -0*k, -4*k - 2*g = -32. Let m = k + 1. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.438 - 0.44153. Round i to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/20 - 5*a**4\/12 - a**3\/3 - 7*a**2\/2 - 6*a - 5. Let u = -11 - -6. Determine m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227\/584 - -1\/73. Let t be (-1)\/9*2 + 0. Which is the closest to 1\/2? (a) 0 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76, 456, 1126, 2092, 3360, 4936?\n\"Answer: u**3 + 139*u**2 - 44*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1159 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 6*r**3 - 2*r**3 - 5*r**3 - 2*r + 1 to the form u*r**3 + x*r + m + t*r**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2990 and 31612373.\nAnswer: 316123730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7*r + 620 = 5*k, 2*r - 5*k = 405. Suppose 5*f - 2*m - 1025 = 0, 8*m + r = f + 10*m. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 22*z + 25. Let w be p(21). Suppose 3*y - 4 = 2*j, -w*y + 5*j - 1 = -4. Find the first derivative of 2 - 12*q**2 + 2 + 4 - 2*q**y wrt q.\nAnswer: -28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s\/(s\/(s\/(s**(-5\/6)*s))))))\/(s\/s**(-4))*s**(1\/3)*s**(3\/2) assuming s is positive.\nAnswer: s**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -5\/6*w**5 - 28\/9*w**3 + 0 - 20*w + 8\/45*w**6 + 8\/3*w**2 + 19\/9*w**4 - 1\/63*w**7. Suppose r(k) = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 2*z**2 + 2*z - 1. Let h(u) = -u**2 + 12*u + 47. Suppose 7*l - 2*l - 2*p = 77, 14 = l + p. Let w be h(l). Determine b(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 23*k + 26. Let s be j(-13). Let x = 62 - s. Suppose 0 = -5*r + 104 + x. What is the greatest common divisor of r and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 21. Let z(n) = n**3 + 6*n**2 + 2*n. What is the remainder when 41 is divided by z(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -5. Let l = n + 21.1. Which is the second smallest value? (a) l (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a0 (base 14) to base 11\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and -695019.\nAnswer: -695005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42828 greater than 3469094\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/30)\/1*(-2380)\/408 + 2. Let n be 2\/(-1) + -1 - -2. Sort -5, 2, n, j.\nAnswer: -5, n, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 2 + -67 + -1083 + 1067?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33663 is divided by 823.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 - 1 + 0*n**4 + n**2 + 68*n**3 - 2*n - 69*n**3 to the form a + d*n**3 + r*n**2 + y*n + v*n**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**2 + 2*v + 1. Let p be g(-1). Suppose 9 = p*h - 1. Let z be 4\/(h\/(-20)*2). What is z rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*l - 2*r = -73*l - 10, r - 5 = 3*l. Let z(t) be the third derivative of -1\/12*t**4 - 28*t**2 + l*t + 0 + 0*t**3. Let o(y) = -2*y + 9. Give z(o(i)).\nAnswer: 4*i - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76722 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25403273477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 78030000 rounded to the nearest one million?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(7\/4)))\/((h\/h**(-18))\/h))\/((h*h*h*h**(4\/5)*h*h)\/h*h*(h\/(h*h*(h\/((h\/(h*h**3)*h*h*h)\/h))\/h*h))\/h) assuming h is positive.\nAnswer: h**(-361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 496, 503, 506, 499, 476?\n\"Answer: -w**3 + 4*w**2 + 2*w + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.18. Let o = 0.18 - d. What is the closest to o in -1\/4, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -1, -2\/43, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 38400846.6 to the nearest 1000000.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**3 + 6*w - 13. Let d be b(3). Let l = -90 - d. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1321214290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkuqwkuzzkkzoukww. What is prob of sequence kouw?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*j**3 - 234*j**3 - 236*j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 465948 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s - 37 = -3. Let h(d) = 24*d**2 + d + 6. Let j be h(s). Suppose 0*m + 5*m = j. Calculate the smallest common multiple of 12 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k + k - 5 + (-2*k + 5*k - k)*(-5 + 4 - 3))*(-k + 3 - 3).\nAnswer: 10*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11642 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = 5*t - 3*o, 3*t - 4*o = -10. Suppose -t*g + 4*g - 6 = 0. Solve g*r + 1 = 5*k + 2, r + k = -5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0717 plus 14?\nAnswer: 13.9283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = -2*a. Suppose 5*m = 3*c - 21, -a*m = 5*c - 0*m - 35. What is the remainder when 26 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(832) - sqrt(832)*-2))\/(sqrt(576) + (sqrt(576) - (sqrt(576) - (sqrt(576) + sqrt(576) + -2*sqrt(576)*-2)))).\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:04 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512, 517, 526, 539?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 5*j - 10. Let l(t) = -t**2 + 3*t + 3. Let f be l(5). Let u be v(f). Solve -3*r = 2*w + 4 - 14, 0 = u*r + 5*w - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 997606 to the power of 1\/2, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 18 - 0\/5. Let s(h) be the first derivative of -17*h - 7*h**2 + z*h - 3*h**4 + 11. What is the second derivative of s(r) wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -15.7. Let m = 39157.30014 + -39158. Let d = m + z. What is d rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 8*z + 12. Let q be v(6). Suppose -c + 10*c - 27 = 0. Solve -13 = -c*f + 2*n - n, q = -f + 5*n + 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 3. Let s(v) = 8*v - v - 8*v - 2. Let n be s(a). Solve 3*l - h - 12 = 0, 3*l - 4*h - n = -0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 1 + (-1 - -7). Let u(f) = 2*f + c + 3 - 11. Give u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1\/9, 0, -1\/39, -5, -25.1, 0.06?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-33) - (-1221000045)\/(-55). Let y be (-3)\/(-9) + q\/3. What is y rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5 - 3)\/(30\/156) and 17\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 - (-690)\/161. Sort 12, n, -2 in ascending order.\nAnswer: -2, n, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 6, -3*y + 12*c - 1 = 5*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 7*m - 2. Let x be d(-6). Suppose -4*g + 9 = o, -5 = -5*g - 5*o + 25. Sort g, x, 2 in decreasing order.\nAnswer: 2, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 895455 (base 10) to base 5\nAnswer: 212123310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -31*a**5\/5 - 91*a**2\/2 + 103*a + 222. Let i(t) be the first derivative of q(t). Differentiate i(d) wrt d.\nAnswer: -372*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*f**4\/4 - 27649055*f**3 - 22119261*f**2\/4 + 17695397*f - 4423849 = 0. Calculate f.\nAnswer: -1, 2\/5, 4423849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 46. Let c(d) = -1 - 2 - 6. Let k(t) = -t + 8. Let j(n) = h*c(n) - 7*k(n). Differentiate j(b) with respect to b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 196, 100, 20, -38, -68, -64?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 121232*o - 121228.\nAnswer: -4*(o + 1)*(o + 30307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-94 - -68) + -30 + (-1 - -28)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -3*x**5\/20 + 9*x**4\/8 + 8. Factor q(o).\nAnswer: -3*o**3*(o - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1)*192\/(-80)*7*52\/(-637).\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*m + 6*m. Suppose 1 = -4*n - m. Are n and -1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**3 + 0*v**3 + v**3)*(2 + 2 + 2 + (1 + 1 - 1)*(-4 + 2 + 0))*(1 + 3 + 5).\nAnswer: 252*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 8*n**2 - 14*n - 53. Let m be v(-7). What is the third smallest value in 6, 1, -12\/13, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y**3 - y**2 - 16*y + 11. Let r(m) = m**3 - 3*m + 2. Suppose 0 = 21*q - 161 - 70. Determine q*r(x) - 2*h(x).\nAnswer: -x**3 + 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150\/17 - 280\/51. Factor 0 - 14\/3*j**3 + 0*j - r*j**4 - 4\/3*j**2.\nAnswer: -2*j**2*(j + 1)*(5*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -283 equal to 1011\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**2\/3 - 5*h\/9 + 14\/9 = 0.\nAnswer: -2, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-117 + 17 - 25)*(4*w - 4*w + w**2).\nAnswer: -250*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/8 + 4677*g\/4 - 7291443\/8.\nAnswer: -3*(g - 1559)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003266371 rounded to 6 dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**6\/30 + 19*u**4\/12 - 22*u. What is the third derivative of l(x) wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 102282, 201342, 300402, 399462, 498522?\n\"Answer: 99060*x + 3222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100110100 + 101?\nAnswer: -101100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:00 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-14))\/((90\/21)\/(-5))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s + 18*s - 9. Solve 0 = 5*t + 4*y + 4, s*t = 6*t + y + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*y + 71*y - 27*y to the form p + l*y and give l.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1617) + sqrt(1617) + sqrt(1617)*-3)*4)\/(5*(sqrt(33)\/(sqrt(11)*1 + sqrt(11)) + sqrt(243)*1)).\nAnswer: 56*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53986874 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 11:10 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1595*u**2 - 107 - 163 + 196917*u - 198272*u + 30*u**3.\nAnswer: 5*(u - 1)*(u + 54)*(6*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(35 + 0 + 7)*(r**2 + r**2 - r**2).\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16267\/1480 - -114\/185. Find the common denominator of 73\/12 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skg when three letters picked without replacement from uugggsgsks.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-1.17929225.\nAnswer: -7.0757535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**3 + n**2 - 1. Let d be q(-1). Suppose -10 = -d*x + 10. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279\/385 + -19\/35. What is the second biggest value in 8.8, -1, -4\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289317751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23445300 (base 8) to base 11.\nAnswer: 2994a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 7 + 5. What is the least common multiple of c and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307 less than 0.14?\nAnswer: 307.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423, -4576, -16169, -38922, -76555, -132788?\nAnswer: -211341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(45)*1)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22543601 (base 9) in base 6?\nAnswer: -1030432131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1932741 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8275 (b) 4 (c) 3\/8 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2)*74\/4. Let h(t) = y + t - 37. Let p(z) = z**2 + 5*z**2 - 3*z**2. Calculate h(p(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83282 is divided by 3548?\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 227.205 nanoseconds?\nAnswer: 0.00000000378675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3794 and 2338?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 24*u - 351 + 168. Solve -16*t + 9 = -11*t + 4*i, -u*i = t + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -611 + 5?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 126960 divided by -8?\nAnswer: -15870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31524.199996 - -31523.6. Let r = -2.36 - -1.76. Let s = r - t. Round s to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67\/4 of a meter?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -58*w**2 - 19 + 110*w**2 - 44*w**2. Suppose -a + 18 = -4*a. Is z(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/4, 2, 27, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**2 + 2*v**2 - 13*v**2 + (2 + 4 - 4)*(21*v**2 + 7*v**2 - v**2).\nAnswer: 49*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025919 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*p - 52 + 13 - 2*p + 8*p wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 7*k - 12. Let r be q(-12). What is the highest common factor of 192 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3259 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136897109 is divided by 45632368.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 0*f)*(-2 + 4*f + 0*f - 5*f)*(0 - 2 + 3 + (-1 - 4 + 1)*(6 - 13 - 24)).\nAnswer: 125*f**2 + 250*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 28*l**3 - 4*l**2 + l + 7. Let y(z) = -5*z - 29. Let w be y(-14). Let n = w + -48. Let g be t(n). Round g to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49998281, 49998283, 49998285, 49998287, 49998289, 49998291?\n\"Answer: 2*a + 49998279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfjj when four letters picked without replacement from jjfjjjjjjjjfjjjjjj?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/7*(-170)\/4. Calculate the highest common divisor of 34 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.980827 millilitres in litres?\nAnswer: 0.003980827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 107 = -4*d + d - 2*c, 2*c - 106 = -73*d - 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, o: 6}. What is prob of picking 1 r and 1 o?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2429.676 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3225983 is divided by 2185.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/20)\/(6\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11719362 and 46877448?\nAnswer: 46877448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)*s*s*s*s\/s**(-5))\/(s\/(((s*s**(-2))\/s)\/s))**(-39) assuming s is positive.\nAnswer: s**(1157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/(-112) + -1 + (-7)\/56.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23474 + 23238. Which is the closest to -5? (a) -3 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 15*c**2. Let l be 10\/(-4)*(124\/30)\/(-31). Let x(f) be the second derivative of 0*f**2 + 9*f + 0 + l*f**3. Determine x(o(j)).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:47 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 31*w**2 + 15*w + 6. Let k be v(-15). Calculate the highest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + -44. What is the highest common divisor of 125 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 4:31 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -18 - -20 - (-34)\/(-14). What is the second smallest value in -4, r, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1082 - 29. What is the greatest common factor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c1e (base 15) in base 13?\nAnswer: -131c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 942\/(-27) - (-2)\/(-18). Let v be (-16)\/8 + -95 + 0. Let p = g - v. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 29407 = 6*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*a - 188 = -0*a, 4*b = -3*a + 172. What is the greatest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -580658, -580659, -580660, -580661, -580662?\nAnswer: -580663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axjaaaarrjjmarxla. What is prob of picking 3 r and 1 l?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.17 - -0.07. Let g = 2.9 - x. Let q be (-1)\/(6\/(-3) + 1). Which is the nearest to -2? (a) g (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 12. Let y(t) = -t - 11. Let g be y(-11). Let w be (g - -1) + -3 - -5. Let u(v) = -1. Let x(a) = -a**2 - 2*a + 5. Calculate s*x(h) + w*u(h).\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -993 by 53.\nAnswer: -993\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 9*m - 12. Let s be r(8). Let n = -4 - -8. Let x(p) = 0*p**2 + 2 + n*p + 5*p**2 - 4*p**3 + 5*p**3. Calculate x(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -0.2, 81404, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21796\/60 - (1\/5 - 0). Let a = k + -631613\/1740. Calculate the common denominator of 1\/8 and a.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 347906, 347918, 347936, 347960, 347990?\nAnswer: 348026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -233\/3 greater than -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158115?\nAnswer: 3, 5, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r*r\/r**(-8)))*r)*r)\/(r\/(r**(-2\/9)\/r)) assuming r is positive.\nAnswer: r**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2 - 2*u + 33. Let t(x) = 9*x**2 - 5*x + 65. Give 2*t(m) - 5*w(m).\nAnswer: -7*m**2 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -651.\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 37. Let p be d(13). Suppose 3*a + 0 = 9. Suppose y + 9 = -0*y - a*g, 0 = 4*y - 4*g - 28. Solve 0 = -5*v + p*m + 19, v + y*m - 15 = -1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -u, -15*c - 2*c + 12 + 60 = -3*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/7 + 148*a**2\/7 + 16*a\/7 - 592\/7.\nAnswer: -4*(a - 37)*(a - 2)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -48. Let i(m) = -7 + 4*m - 10*m - 4*m**2 + o*m**2. Let h be i(7). Solve h = 2*x + 3*g + 1, 0*g = -2*g + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1121656*h**3 + 2*h**2*r**3 + 3223171*r**3 wrt h.\nAnswer: -3364968*h**2 + 4*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40987\/1497115 - -2\/13735. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2524369 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3 + 10364*f**2 + 13436920*f + 26832400 = 0. What is f?\nAnswer: -2590, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 10*i**6\/3 + 59*i**5 + 705*i**4\/4 + 545*i**3\/3 + 55*i**2\/2 - 60*i - 107. Find u such that o(u) = 0.\nAnswer: -12, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -29*q - 16. Let d(c) = 6*c + 3. Let a(l) = -25*l + 177. Let j be a(7). Calculate j*b(o) + 11*d(o).\nAnswer: 8*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-6)\/18*(8 - 3). Which is the second smallest value? (a) 3\/8 (b) r (c) -0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 625107 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, l: 1, c: 3, v: 3}. Give prob of sequence cv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 188477 to the power of 1\/2, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 4*z**6\/27 + 2*z**5\/9 - 11*z**4\/18 - 46*z**3\/27 - 13*z**2\/9 - 4*z\/9 - 236. Find w such that i(w) = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.16312 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 10:35 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 247805166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-3)*l*l))\/l**3)**(7\/3)*(l**(-6\/11)*l**0)\/(l*l**(2\/3)*l\/(l\/(l\/((l\/l**5)\/l))*l)) assuming l is positive.\nAnswer: l**(-105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/60)\/(5\/75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1\/6 + -1. Let j = 0.8739 - 0.7739. What is the nearest to 6 in j, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*2*sqrt(19) + -5 - (sqrt(2736)*4 + -5))**2.\nAnswer: 47504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -99. Let v be 5*(2*2 + -2). Calculate the highest common factor of v and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x, -i - 2*i + 3*x + 60 = 0. Let w(p) = -2*p**2 + 39*p + 52. What is the smallest common multiple of 36 and w(i)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.08.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/((-420)\/(-5600))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 41\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.57 + -4.86. Let m = o + -3.71. Sort -6\/11, m, 4.\nAnswer: m, -6\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, -12, 1 in decreasing order.\nAnswer: 2, 1, -0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5157 - 5115. What is the third biggest value in x, 3, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 17 = 3*k + 4*s, 3*s + 11 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/4 + 11*p**3\/3 - 11*p**2\/2 - 13*p + 814. Calculate v(9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*l + 266*l - 245*l - 30*l - 457*l.\nAnswer: -557*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 18\/((-2484)\/(-1265)))*(3 + 21).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 12. Suppose -66 - 48 = -i*f. Suppose f - 158 = -5*p. Solve -v - 4*v + p = 3*h, 3*h - v = 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1177, -4739, -10677, -18997, -29705, -42807, -58309, -76217?\n\"Answer: -l**3 - 1182*l**2 - 9*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 26. Let k be j(-5). Which is the nearest to k? (a) -1\/5 (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 12:25 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 422 + -243. Let t = m - -44. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 310*l - 105*l + 46*l in the form j*l + x and give j.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41\/12 - 15\/4. Let g = -533801\/3469622 + 1\/266894. Which is the third smallest value? (a) h (b) -1\/2 (c) g (d) 4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 6*h - 4. Calculate l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = -2*u + 5*u, h = -4*u - 16. Suppose -4*w = 1 + 19. Let q be (-8 + 6)\/(2\/w). Solve 0 = -q*j + 3*j - h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d - 3676 + 88. Let k be 2\/(-11) + d\/(-143). Suppose n = -k*r + 3*n + 2, 5*r - 40 = -5*n. Calculate the highest common divisor of 18 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35656 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {j: 1, m: 6, p: 3, q: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.027, 0, 0.03, -0.4, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/4 (b) 2\/13 (c) 11 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - i + 4 - 5, n + 10 = -4*i. Suppose 0*z - 119 = -5*d + 2*z, -2*d + n*z = -44. Solve -d = -2*g + 5*s, 3*g + 0*s - 21 = 2*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -421*o**2 + 85*o + 6. Give s(-1).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -29. Suppose 2*n - b = 7. What is the remainder when 18 is divided by (12\/n)\/(4\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -1\/5, 0.2, 3\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -30. Suppose 5*c - g = -3*p, -5*c + c = -3*p - 14. Suppose -8 = 2*h, 2*h + c*h = 3*i - 37. Calculate the smallest common multiple of i and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f - 66. Give t(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3996 by -752.\nAnswer: 999\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*q + 253 + 423, -1095 = -5*l + 2*q. Calculate the smallest common multiple of 248 and l.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 3\/4 (c) -0.0018 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n**2 + 3*n**2)*(-n**2 - 5*n**2 + 3*n**2)*(4*n + 2*n - 9*n).\nAnswer: 27*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/4*k**4 + 3\/4*k**3 + 3\/2 - 3\/4*k - 9\/4*k**2 = 0. What is k?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 v when four letters picked without replacement from weveawvavvw?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -8*v**4 + 2182*v**3 + 17880*v**2 + 24866*v - 44920 = 0?\nAnswer: -5, -4, 1, 1123\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:02 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 650.276506?\nAnswer: -653.276506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15534 + -15264?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-5.66.\nAnswer: 11.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3971 and 11926357.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -9\/68101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 10*w - 5. Sort w, -8, 0.\nAnswer: -8, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -407.213 + 346.86. Round l to one dp.\nAnswer: -60.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518.4 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 times 348.821?\nAnswer: -25463.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4309)\/372 + 42\/(-63) and 10\/4*154\/50?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 104 - 13*x**3 + 19 - 147.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**12)\/h*h**10\/h)\/(h\/h**3*h\/(h**(-5\/4)*h)) assuming h is positive.\nAnswer: h**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 986*a**2\/3 + 995*a - 5934.\nAnswer: -(a - 989)*(a - 3)*(a + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((4 + (sqrt(425) - (sqrt(425) + -1)) + -5)**2 - ((-1*sqrt(102) - sqrt(102))*-1 - sqrt(102))\/(sqrt(6) + (sqrt(18)\/sqrt(3) + sqrt(6))*4)).\nAnswer: -sqrt(17)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 19 + 13 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*r + 12. Let h be 2\/(r\/2 + -2). Put 3, -7, h in increasing order.\nAnswer: -7, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657062510.13063 + 0?\nAnswer: 1657062510.13063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4239911291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(2736) + sqrt(2736) - sqrt(2736)))**2.\nAnswer: 96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, 2\/2159, 3, 5, 1\/4?\nAnswer: 2\/2159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - ((0 - -8) + 3)) + -7 + -19 + 16.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12*v**3 - 4*v**2 - v. Let u(o) = 12*o**3 + 5*o**2 + o. What is 5*k(s) + 4*u(s)?\nAnswer: -12*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 219, 494, 879, 1374, 1979, 2694?\nAnswer: 3519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 3. Let g be k(0). Suppose 7*c - 288 = g*c. Suppose 3*m - 4*d - 46 = 0, -m - 2*d = -6*m + c. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1433 and 7167\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1568414 and 53\/8060.\nAnswer: 203893820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l**2 + 2*l - 11. Let x(b) = 7*b**2 - 2*b + 10. Let f(d) = -d**2 - 909*d - 2724. Let n be f(-3). Determine n*p(y) - 7*x(y).\nAnswer: -y**2 + 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194124?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3055031*k**3 + 5*k**2 - 22*k**2 - 2*k + 3055032*k**3 - k**4 in the form a*k**3 + m*k**4 + v + z*k**2 + g*k and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 8*r**4 + 356*r**3 + 508*r**2 - 344*r = 0.\nAnswer: -43, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 2 o when four letters picked without replacement from xxoxyolx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2*sqrt(3))*3)**2 + (sqrt(21) + -1*sqrt(189))\/sqrt(7).\nAnswer: -2*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 722 times -12\nAnswer: -8664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 2. Suppose j + o*j - 108 = 0. Let q = j - -10. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97871*u + 97873*u + 2*h - 20, 5*u - 105 = 4*h - 19 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77843\/22 + 14161\/4. Which is greater: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**7\/630 + m**4\/24 - m**2. Let z(h) be the second derivative of t(h). Let b(s) = -15 - 2*s + 15. Determine b(z(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 13e555?\nAnswer: -13e55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12120 + -101122012?\nAnswer: -101211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2.3, -0.037, -4, 2?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, 1, 26.26, 3 in ascending order.\nAnswer: -2, 1, 3, 26.26, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2) + 4\/(-8). What is the greatest common factor of 11 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1071 * -1103\nAnswer: -1181313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*h + 13, -4*h - 17 = 3*z - 6*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.85 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, 52, 56?\n\"Answer: 4*w + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 112. Let x = -49 + u. Let s = -10 - x. Which is the nearest to -1? (a) s (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:34 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 15465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f - 6. Let x be a(0). Let g(v) be the first derivative of -v**2 - 2*v + 3. List the prime factors of g(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b + 2c97c?\nAnswer: 2ca29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4 - 0. Suppose -2*w + 5*s + 14 = 0, -c*s + 1 = 9. Let g(d) = d**2 - d. Let y be g(1). Solve y*x = -x + w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-28))\/((-36)\/112392). Solve 33 = r*w - 212*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (40\/(-41400))\/((-6)\/(-1905)) and 52\/621.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 95\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4314434 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*g**4 - 156*g**2 + 156*g**2)*(2*g + 0*g + g).\nAnswer: -141*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -22?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 4*l**2 - 7*l + 6. Let n be x(5). Let f = 8 + n. Find the second derivative of -d + d**5 + d**f - d**4 wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = 2*m, 4 = -m - 7*j + 10*j. What is the highest common factor of 452 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -4 (c) 3\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*y - 35, 0*g - 4*g + 2*y = -28. What is the highest common factor of g and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*-2*sqrt(208) - sqrt(208)).\nAnswer: -220*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (-5 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 15*j + 1. Let w be 1 + 3 + (3 - 6). What is the units digit of n(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 952076161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 2)*(3*f + 0*f - 19*f) to r + u*f and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*2520\/(-1400).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 8*y - 6. Let n be w(6). Let q(u) = -u. Let t be q(4). Let k = t + n. Solve -k*j + 6 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 12*x - 9. Determine a(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1)*105\/(-9). Let x = v + 38. Solve 2*r = u, u = -2*r - x*u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.99 - 4.91. Let w = 0.1 + -1. Let j = w - g. Which is the third biggest value? (a) 2 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 618, 1242, 1902, 2616, 3402, 4278?\nAnswer: 5262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19219752 divided by -30411?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27600 divided by -276?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -80, -83, -88, -95?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15738 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, v: 13, w: 2, t: 2, q: 2}. What is prob of picking 1 w, 1 n, and 2 v?\nAnswer: 52\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 46\/5 of a hour?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30189683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4759347?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2 + (-136 - -139) - 37) + 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - 1 - (-1 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -14127256670 to the nearest 100000.\nAnswer: -14127300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, c: 2, o: 1, r: 1, z: 4, d: 6}. What is prob of picking 1 z and 2 c?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 14*z - 27. Let u(n) = n**2 + 1. Let g(l) = -k(l) + 3*u(l). What is the hundreds digit of g(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -93. Calculate the remainder when 98 is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/4, -3, 0.16, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108 a factor of 110248625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 7*p**2\/2 + 1. Let m(q) = 40*q**2 + 37*q**2 + 15 - 79*q**2 - 15. Give m(j(s)).\nAnswer: -98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 5\/4 (c) 109.6 (d) -53 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 3. Let f(z) = z**3 + 14. Let r be f(0). Let b(c) = -c - 7. Let w(p) = r*s(p) - 6*b(p). Let g(t) = 5*t**2. Calculate g(w(a)).\nAnswer: 320*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14917853 or -14917854?\nAnswer: -14917853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1987*a - 1985*a + 522*a**2 + 182*a**2.\nAnswer: 704*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 547 - -127. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alfftqln. What is prob of picking 1 q, 1 l, and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -959 - -954. Let o = -35 - -25. Let u = 9.7 + o. Which is the biggest value? (a) -0.2 (b) 3\/5 (c) i (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = 0. Suppose -2*h = -l*h + 8. Suppose 0 = -4*a + 2*a - 6. Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-17)*s*s\/(s*(s\/(s*s**(2\/31)))\/s))\/(((s*(s\/(s**(-18)*s)*s*s)\/s)\/s*s)\/s*s*s**(-1\/9)))**(-1\/3) assuming s is positive.\nAnswer: s**(9437\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*l - 3 = 90*l. Let s = 7 - 4. Suppose -3*n + 3*u = -s, 0 = -3*n + 3*u - 2*u + 11. Solve n - l = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 2. Let s be j(2). Let v = 21 - s. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 11, 0, -31, -88, -177, -304?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 410\/23, 11.8, -5?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 702, 704, 708, 714, 722, 732?\n\"Answer: o**2 - o + 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -325*s - 86. Let v be r(2). Let l = 1383 + v. List the prime factors of l.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 726, 716, 704, 690, 674, 656?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 11:54 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/3))**(-15)*(q*(q**(-1\/2)\/q)\/q)\/((q\/((q*q\/(q**(-2\/27)\/q*q))\/q))\/q) assuming q is positive.\nAnswer: q**(-1373\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/150)\/((-3)\/(-35)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**2*d**2 + 4*a**2*d - 5452*a**2 + 758*a*d**2 + 26*a*d + 2*d - 30 wrt a?\nAnswer: 18*d**2 + 8*d - 10904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8 - 4*a**2 - 7*a - 7 + 5*a**2. Let m be u(8). Calculate the remainder when 1*-2*m\/(-2) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 2) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -65604 bigger than 170\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n + 163 + 336 = -229 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/13 in -6\/7, -0.5, 57, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.889366 months to centuries.\nAnswer: 0.012407805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.206 - 0.094. Sort 3\/4, -1\/6, k, -3.\nAnswer: -3, k, -1\/6, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12304817 or -12304809?\nAnswer: -12304817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g, 2*u - 4*g = 3*u - 62. What is the remainder when u is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eew when three letters picked without replacement from {e: 11, w: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 617 = -9. What is the remainder when g is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -1236?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5659750 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134 - -270?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rruuecec. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11*16*5\/220. Solve -g = 10*w - 11*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -6 (b) 1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 620 + -217. Let q = x + -251. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - -1 - (-1035 + 1089)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*a - 1070 = -150*a. Solve -8 = 2*l, a*y + 2*l = -0*l - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161349 plus -1398.3758?\nAnswer: -162747.3758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 25, 49, 93, 163, 265, 405?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djoyoyfdoyjozyz. What is prob of picking 1 d and 1 o?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 9*r**4 + 57*r**3 - 7671*r**2 + 86667*r - 271950 = 0?\nAnswer: -37, 7, 50\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrjrr. What is prob of sequence rjrj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*a**6*c + 14*a**3*c**2 + 5*a**2*c**2 + 40*c**2 wrt a?\nAnswer: -1200*a**3*c + 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1471 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u. Let x(q) = -18*q + 79988. Calculate x(w(c)).\nAnswer: -36*c + 79988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*l**4 + 7*l**3 - 1824*l**2 wrt l?\nAnswer: 1560*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/6*-6 - -2. Let l = -15 + c. Suppose -6*q = -l*q - 460. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1456)\/672*6\/(-52).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 3*p**2 - p - 1. Let n be m(-2). Suppose j - 3*x = -7*x - n, -20 = 5*x. Calculate the remainder when j is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208473664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-210)\/6 + (0 - 2). Suppose -2*x = -l - 86, 0 = -x + 3*l - 9 + 52. Let m = g + x. Solve -3*h = 2*f + m, -3*f - f - 12 = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -236, -354?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.135? (a) 2\/7 (b) -3\/2 (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166632, -333464, -500296?\nAnswer: -667128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 971294.3 centimeters in millimeters?\nAnswer: 9712943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 51091908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -70*n + n**2 - 1 - 65*n + 208*n - 67*n. Give v(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2411.1 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 56307*x**3 - 697878*x**2 + 1295604*x + 5833176 = 0?\nAnswer: -2, 986\/137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2\/5 + 620528*x\/5 - 24065937424\/5 = 0. Calculate x.\nAnswer: 77566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -k - 2*u + 5, 0 = 3*k - 5*u + 35. What is the remainder when 2\/(-5) + (-516)\/k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = -11. Let r be (-24)\/(-30) + 11\/55. Is 9\/v - (-2187 + r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o**2 - 701*o - 578. Determine h(-116).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 66*y + 15767 - 2866 = 76*y for y.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 + -164. Let u = 1416 + f. Suppose -171 + u = 4*x. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*b - 17, 201*b - 2 = 203*b. Let v(y) = -2*y**3 + 27*y**2 - 35*y - 13. What is v(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**3 + 12*q**2 - 1. Let n(r) = -r**3 + r**2. Give -f(j) + 6*n(j).\nAnswer: -2*j**3 - 6*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 + 11*j**2 + 17*j - 62. Let p be n(6). Solve -p*r + 2*r + 11 = 3*w, 0 = 2*w + 2*r - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 19*l**7\/210 - 7*l**3\/3 + 11*l**2 - 4*l. Let j(t) be the first derivative of d(t). Find the first derivative of j(v) wrt v.\nAnswer: 76*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26960 is divided by 6484?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 333 + -316 - (40 + 4).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1875)\/(-105) - (-42)\/(-49)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -1)\/2 - -9. Let i(c) = c**2 - 8*c. Let j be i(t). Is j bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*v - a, 2*v + 3*a - 8 + 25 = 0. Is v > -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*o - 5*l - 33 = 0, 3*l + 27 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 28*y. Let d be ((-27)\/4 + 0)\/(27\/(-144)). Let i(k) be the first derivative of -k**2 - k**2 - d + 16 + k**2. Give j(i(f)).\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*d + 12. Suppose 2*n - d = -0. Solve 0 = -2*q - 0*q - n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 21*w**3 - w**2 + 25*w - 65. Let l be s(4). Calculate the greatest common factor of l and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 < -20631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -97, -106, -117, -130, -145, -162?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1060320 and 329.\nAnswer: 7422240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {j: 11, n: 8, q: 1}?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkg when three letters picked without replacement from ksksgrskygsrkek.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1258 = -4*t, -6*f + 11*f + 1560 = 5*t. Let l = 380 - t. Do l and 64 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 less than -1187307073731?\nAnswer: -1187307074001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000285114152 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 2675*y**2 + 53864*y - 97020.\nAnswer: -(y - 18)*(y - 2)*(y + 2695)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 1 + 16)*(-4*c + 0*c + 2*c)*(0*c + 2*c - 4*c + (-4*c + 2*c + 3*c)*(-1 - 1 + 0) - 2 - 2*c + 2 + 0 + 0 - c).\nAnswer: 798*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 5.4794?\nAnswer: -5.9794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -1. Suppose -5*a = 3*m - q, 4*m + m = a + 38. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031 times -3?\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 425694 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*i = 3*y - 7, i = -4*y - 13. Sort 1, -5, y in decreasing order.\nAnswer: 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - (-12 - (-12 + 27 + -5 - 19))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p - 41. List the prime factors of p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225a (base 14) to base 5\nAnswer: -142320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 - 83. Let x(h) = -h - 3*h + 1452 + 1454 - 2906. Give k(x(w)).\nAnswer: -64*w**2 - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 14\/3, 0.1719, -1\/4, -1\/2?\nAnswer: 0.1719","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12242033 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.08. Let s = -0.08 + b. Let c = 4 + -8. Put s, c, -5 in descending order.\nAnswer: s, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87179017 to the nearest integer?\nAnswer: 9337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 3, i: 3, e: 3}. Give prob of picking 2 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 + -1.963. Let h = a - 1.147. Round h to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 669172575 to the nearest integer?\nAnswer: 25868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 10*v + 36 = 0. Find o, given that 64*o + 353*o**3 - 304*o**2 - 29*o**3 - 4*o**3 + 61*o**v + 39*o**4 = 0.\nAnswer: -4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**1)**(-40)\/(d**(-1\/4)*d*d**2*d))**(3\/4) assuming d is positive.\nAnswer: d**(-45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 66951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 67*b**2 - 33*b - 82. Calculate d(-33).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 272*j + 5363. Calculate s(-20).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/1836 and 61\/45.\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 30*i**2 + 4*i**2 + 179 - 179.\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 10) to base 2\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(((-1188)\/120)\/(-33)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19777058 to the nearest integer?\nAnswer: 4447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -1. Suppose -n - 4 = 0, -t - 2*n = -n - m. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppu when three letters picked without replacement from {z: 3, t: 3, p: 2, c: 7, u: 4}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w\/(w*(w*(w\/(w**9*w*w))\/w*w*w)\/w)*w*w*w**3*w**(2\/7))**(-18) assuming w is positive.\nAnswer: w**(-1170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 >= -751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 277500977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/30 - (-44)\/6. Let c(k) = k - 7. Let a be c(i). Let d = a - -29. What is the greatest common factor of d and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 9. Suppose 0 = -b - 3 + 12. Suppose -b = u - 5*i, -2*u + i + 13 = 4. Let g be t(u). Solve -5*m + 3 - 12 = v, -19 = 4*v + g*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -24*o**3 - 338*o**2 - 44*o + 160. What is m(-14)?\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a - 3. Let c(h) = -2*h. Let i(d) = -4*c(d) + r(d). Let l be i(5). Solve l*s = 3*s - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 213 - 328. Let p = -15 + h. What is the common denominator of -83\/10 and (-120)\/28 + 4 - p\/14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5603543381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 40882.4761 to the nearest 10.\nAnswer: 40880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 659)*(-13 - (-8 - -6)) is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 - 3543*j**2 - 449*j + 530260. What is w(1181)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 32. Suppose -5*m = -2*k + 484, k + k - 3*m - 480 = 0. Calculate the common denominator of 10\/7 and k\/18 + a\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 37*s**2 + 420*s - 1651. Give f(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*j. Suppose j = -3*n + n + 4. Let y be (-1)\/(-5) - 33\/(-60). Is n less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19750.52 + -34149?\nAnswer: -53899.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 1)*(i - 5*i + 2*i)*(-1 - 1 + 0 + i).\nAnswer: -10*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**7\/840 - z**6\/180 - z**5\/24 - z**4\/8 + z**3 + 16. Let g(d) be the third derivative of o(d). Determine g(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4624639 and -0.4?\nAnswer: -1849855.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 79221\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 3*x - 2, -o - 1 = -4*x. Which is the closest to o? (a) 2 (b) -1\/12 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 - 49\/(-245)*(-7 + 122)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136428 - -28072. Round p to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 15. Let y = -5 - z. Suppose y = -3*u + u + 86. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -49*s**8\/24 + 154*s**7\/15 - 14*s**6\/3 - 424*s**5\/15 - 76*s**4\/3 - 32*s**3\/3 + 58*s**2. Suppose u(n) = 0. What is n?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 5*m**2 - 7*m + 8. What is f(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(319 - 21*l - 319)*(-l**2 + l**2 + 3*l**3).\nAnswer: -189*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105930*i**3 + 4 - 55*i**2 + 392*i**2 - 4 + 105931*i**3.\nAnswer: i**3 + 337*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55889663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10660 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((((t*t**(1\/4))\/t)\/t)\/t)*t)\/t)**(30\/7)\/(t**(1\/5)*t*t*t*t**(-5)) assuming t is positive.\nAnswer: t**(1251\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 30 + 1 - 60 + y in the form x + j*y and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**3 + 4*o**3 - 3*o**3 + (0*o**2 - o**2 - o**2)*(-o - 12*o + 0*o) - 4*o**2 + 3*o**2 - 2*o**3 + 3*o**2 to c*o + l*o**2 + y + b*o**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35951159?\nAnswer: 5779, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 77.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*a = -5, 7*w - 3*w - 2*a = -20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (25\/(-40))\/((-5)\/40). Suppose -5*u + n*s = 35, -5*s = -6*u + 8*u + 14. Let w(m) = -8*m - 13. Let t(j) = 3*j + 4. What is u*t(a) - 2*w(a)?\nAnswer: -5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 5)\/(0 + (-2)\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + b = -b - 6, -33 = -2*d + 5*b. Calculate the lowest common multiple of 9 and 1*2*(1 + d).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w**3 + 3. Let t(u) = u**3 + 28*u**3 - 28*u**3 - 1. Determine q(c) + 3*t(c).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22801 divided by -1735?\nAnswer: -22801\/1735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grdjbru. Give prob of sequence gj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121217 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 632355*x + 632355*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(-4\/7))\/(l*l\/l**(-2\/7)))\/((l\/(l\/(l*l**(-5\/4)*l))*l)\/(l\/(l\/(l*l**0*l))*l)))**38 assuming l is positive.\nAnswer: l**(817\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 27*h - 41. List the prime factors of l(-21).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 0.08 (b) 0.03 (c) 0.11 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - c + 1 + 3, -2*a + 2*c = 0. Let z(k) = 1 + 369*k - 340*k - 31*k. Give z(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, v: 1, c: 5}. What is prob of sequence scsc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2034)\/339)\/((-3)\/2). Suppose m - s - 4 - 1 = 0, -2*s = -3*m + 15. Suppose -3 = m*f - 33. Solve -v*g - 22 = -f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 1165125?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -30*(0 + (4 - (-156)\/(-15))). Is z less than 192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1*15\/180)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(4\/120*-3). Calculate the greatest common factor of m and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -657 + 700. Calculate the remainder when g is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*204\/2618*19\/(-190)\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 2 + 1 - 17*t - 3 + 1. Is j(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15066036?\nAnswer: 2, 3, 431, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Suppose -3*p - k = -8. Differentiate 17*b**2 + 4*b**p + 7 - 2 - 7*b**2 with respect to b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 12:49 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmeeemeemeeeeweee. Give prob of sequence we.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4463*r - 2234*r - 2231*r. Let u(z) be the first derivative of -z**2\/2 + 489*z - 63. Calculate x(u(j)).\nAnswer: 2*j - 978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3 - s)*(-7*s + 33 - 33 + (-4*s + 4*s + 4*s)*(5 + 1 - 3)).\nAnswer: -5*s**2 - 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18276062*i**2 + 3*i + 2836058?\nAnswer: 36552124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = 0. Let j be 4*1 + v + 0. Which is the second smallest value? (a) 0.4 (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(13) + -1 - (sqrt(13) + sqrt(91)\/sqrt(7)*5)) + (2*sqrt(156)*-6)\/(sqrt(120)\/(sqrt(40)\/sqrt(4))))**2 + -2.\nAnswer: -136*sqrt(13) + 3771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1 - 2 - i - 5. List the prime factors of m(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -170.598 + -0.402. Let t = s + 171.00000366. What is t rounded to 7 dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 73?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r**2. Let t(k) = -918*k**2 - 119*k - 119. Let s(p) = -23*p**2 - 3*p - 3. Let c(h) = 119*s(h) - 3*t(h). Determine c(o(x)).\nAnswer: 2873*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 7) + 13 + -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.021? (a) 0.4 (b) 0.078 (c) 3\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*x - 4*r, -4*x - 4*r + 24 = -28. Solve 4*v + 2*b = -0*b + x, 2*v = 2*b + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 358445 and 30100?\nAnswer: 2157838900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 491 - 0?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(-2*sqrt(9)) + sqrt(539)*-1 - -1*-3*sqrt(11)*-3)**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 10. Let v(i) = -3*i**2 - 2*i**t - 5*i**2. Let w(f) = -5*f + 5*f - 305*f**2 + 307*f**2. Give v(w(o)).\nAnswer: -40*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -3, 5, 1.\nAnswer: -3, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613498479.\nAnswer: 3, 11, 53, 350771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*k + (5 - 5 + 1)*(4*k - 4*k - k) + 0*k + k - 3*k + (2*k - 6*k + 2*k)*(3 - 2 + 0).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 17}. Give prob of sequence aaac.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7189 + 7379. What is the lowest common multiple of l and 114?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/(-6))\/((-1)\/(-3)). Let a be -2 + 0 - (-9 + 7). Suppose a*v = 5*v - y. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - -95 - (-3 + (-5 - -14))) + 15\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/187 + 15\/22. Sort 1\/6, 0, m, -0.5 in decreasing order.\nAnswer: m, 1\/6, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9111675*t**4 - 8386456*t**2?\nAnswer: -218680200*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - b = -49, 2*g + 13 + 19 = -2*b. Let y = 19 - g. Let i be 4\/(-16)*-4 + y. What is the highest common divisor of 22 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/243? (a) -1 (b) 1 (c) 0.039\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-79287)\/(-5564))\/(18\/(-120)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -461 + -14.5?\nAnswer: -475.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9835 + 27472. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2121913*r**3 + 10*r**2 + 2035*r wrt r.\nAnswer: 12731478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*q = -15, -3*q - 17 = -3*c + q. Let w = 4 + c. Suppose k + 90 = w*k. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n**2 - 8*n - 57*n**2 + 26*n**2.\nAnswer: -3*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*i = 18, -n - 4*n = 2*i - 45. Solve -k + 8 = -5*f, 5 + n = -5*f - 2*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)*m)\/m**(-5)*m**(-7)\/((m*m*m**(-8)*m)\/m))\/(((m*m*m**(-2)*m*m)\/(m**7*m))\/(m**9\/(m**2*m))) assuming m is positive.\nAnswer: m**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263115 is divided by 37568?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439625 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f + 8. Give u(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 12*i**3 - 9*i**2 - 3*i - 5. Let y(m) = -14*m**3 + 10*m**2 + 4*m + 6. Let f(d) = -6*o(d) - 5*y(d). Factor f(g).\nAnswer: -2*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1986202*i**4 + 1987879*i**4 + 0*i**2 - i**2 + 2*i**3 - 3*i + 3*i as o*i**4 + k + n*i**2 + q*i**3 + l*i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Let u = 6190 - 6191. Let n(p) = 2*p + 34. Determine u*n(o) - 3*t(o).\nAnswer: o - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -13*p**2 - 135*p. Let n(g) = 10*g**2 + 135*g. What is -4*n(x) - 3*s(x)?\nAnswer: -x**2 - 135*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 708 + 2956?\nAnswer: 3462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 203. Is m(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-22)*15)\/(357\/(-2618))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z*(z**24*z)\/z*z*z))\/z*z)\/(z**2\/z) assuming z is positive.\nAnswer: z**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(7\/3))\/(t\/t**31))**(2\/37) assuming t is positive.\nAnswer: t**(172\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47, 91, 135?\n\"Answer: 44*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8 = 2*g - 24, 0 = b + 5*g - 12. Let l(x) = -4 + 5*x**2 + 7*x - 2*x**2 - 2*x**2. Let n be l(b). Let o(w) = w**3 - 4*w**2 - 4*w + 6. What is o(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -20*g - 1. Let u(t) = -11*t - 2 - 8*t + 1. Let v(s) = -7*u(s) + 6*y(s). Is v(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -465*r + 28907. Determine j(62).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m**6\/m)\/m*m)\/(m\/((m*m**(-7))\/m*m)))\/(m\/((m*m**5)\/m*m)*m**(-3\/2)) assuming m is positive.\nAnswer: m**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 17. Suppose 4*s + 26 = 3*h - 127, 5*h - p*s - 244 = 0. What are the prime factors of h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Suppose l*d + 6 = 9. Let t(a) = 3*a**2 - 1318*a + 25556. Let b be t(419). Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193347.\nAnswer: 853, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**1)\/q)\/q)**12\/((q*q**6)\/(q*q**(-1\/6)*q)))**(-10\/17) assuming q is positive.\nAnswer: q**(155\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r + 0*r + r + (-2 + 0 - 1)*(-5*r + 1 - 1).\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**4\/4 + l**3 + l**2. Suppose -153 = -7*h - 5312. Let q = 741 + h. Let s(o) = 13*o + 13. Give q*s(m) - 9*d(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -301\/114 + -10\/19. Let t = 9583\/2046 + -125\/31. Find the common denominator of k and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1127 and 19481.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-859)\/(2 + -5 + 21\/6). Is (5 + y\/8)*-8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.2 (b) 2 (c) -0.453 (d) -3 (e) -0.137\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2 - 13. Let s be k(3). Suppose -s*l = -23*l + 486. What is the remainder when l is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 60 - 42 = 39 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1)*-3*25\/(-15). Suppose -i*r - 5 = 0, -5*d - 2*r + 8 + 10 = 0. Solve d*z = f - 13, f = 3*z + 2 + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -5386?\nAnswer: 5390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5423118 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.66 - 4. Let l = 0.19 - x. Let g = 0.03 - l. Which is the second biggest value? (a) -4 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m**3 + 5*m**2 - 7*m + 27. Suppose -10*d = -11*d + 4. Is s(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -l - 293. Let r be 1\/8 + l\/(-56). What are the prime factors of (-1806)\/(-35) + r - 2\/(-5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**7\/6720 + t**6\/5760 + t**4\/6 - 4*t. Let u(x) be the third derivative of l(x). Solve u(v) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*d + 1098 + 1064 = 354 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c0 + 5?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/77 + (-25520)\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 20, 25 = 4*u + 2*m - m. Let t be u\/20 + 59\/4. Solve -t = w + 5*v, 2*v + 6 + 0 = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69\/154 - 3\/154. Let g = -14 - -15.5. Let b = -1.6 + g. What is the nearest to -0.1 in 0.5, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, r: 2}. Give prob of sequence rr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16479, -16129, -15779, -15429, -15079, -14729?\nAnswer: -14379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -100461.\nAnswer: -2\/100461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17190*g**2*j + 10*g**2 - 3*g + 334635*j wrt g?\nAnswer: -34380*g*j + 20*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27.518 * -8.348.\nAnswer: 229.720264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q = -7679 - 7638. Which is smaller: 902 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111754 and 710?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5120459959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4244*t = a - 4247*t + 20, -4*a - 50 = 3*t for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = -0. Suppose -5*a + 50 = -3*a. What is the remainder when a is divided by 2*((-156)\/x)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23\/2 + 15. Let q(z) be the first derivative of -k*z**2 + 0*z**3 + 0*z + 9 - 3\/2*z**4. What is the second derivative of q(w) wrt w?\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99 + -84 + -6 + -2 + (-4 - -28).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-39))\/(1\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2880) + sqrt(2880)*1))\/((1*sqrt(490) + sqrt(490))*-6).\nAnswer: 6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (1 + 20 - 1) - -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 - 1 - 1 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1109652 and 3738?\nAnswer: 7767564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 25.6. Let t = b - 1. What is the biggest value in t, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -26. Find the second derivative of -5*l + 2*l**2 - 2*l**p - 3*l**2 + 18*l wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 1245?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2271733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13963572, -13963571, -13963570?\n\"Answer: t - 13963573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((sqrt(225)\/sqrt(5) + sqrt(45))\/sqrt(5)) + -3.\nAnswer: -3 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2 + 6*q - 13. Let w(n) = 6*n**2 + 6*n - 14. Let p(m) = -7*r(m) + 6*w(m). Let l be p(5). Suppose l*t - 472 - 948 = 0. Round t to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1187067, -2373924, -3560781, -4747638, -5934495, -7121352?\n\"Answer: -1186857*v - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -432550 (base 6) to base 10.\nAnswer: -35634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o - 2 = 0. Let n be 536 + (o\/(-1) - 2). Suppose 2*t = 4*h - n, -5*h + 3*h - t = -268. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-4 + 11) - -13) + -18.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + -108. Let h = 3755\/4 - 945. Sort t, -5, h.\nAnswer: h, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -6. Let p = 7 + t. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 36, 58, 80?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 893 divide 16415126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b**3 + 14*b**2 - 20*b - 1. Let l(w) = w - 14. Let z be l(8). Let h(u) = 7*u**3 - 14*u**2 + 19*u. Let p(d) = z*r(d) - 7*h(d). Determine p(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1426, -2853, -4280, -5707?\n\"Answer: -1427*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = 46*c - 379784. Suppose c = 5*r - 10*j + 6*j, 4*r = 2*j + 5236. List the prime factors of r.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46922.\nAnswer: 2, 29, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -35, -2, -3 in decreasing order.\nAnswer: 4, 0, -2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/(6\/108). Does 2 divide 67\/7 - y\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71555436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*n = 5, -1 = 4*b - 3*b - 2*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/5 + 28*a**4\/5 - 4*a**3\/5 - 768*a**2\/5 + 882*a\/5 + 324 = 0. Calculate a.\nAnswer: -10, -9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let x(z) be the first derivative of z**5\/3 - 28*z**3\/3 + 62. Let h(m) be the third derivative of x(m). Give i(h(g)).\nAnswer: -3200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4177 + -4171. Let x(j) = -5*j - 21. Let k(l) = 4*l + 21. Calculate g*k(c) + 5*x(c).\nAnswer: -c + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0413 - -417.0413. Let i = -417.5 + z. Let s = 1 + -7. Sort 2, -3, i, s in decreasing order.\nAnswer: 2, i, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 39*c**3 - c**2 + c**2.\nAnswer: -39*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8280600 to the nearest 10000.\nAnswer: 8280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 2*t**2 + 3*t - 2. Let l be v(-3). Let k(b) = b**3 - 3*b**2 - 3*b - 4. Let m be k(4). Is l greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 35. Suppose -6*q + q = -n. Factor -7\/4*w + 2*w**2 + 1\/4 + q*w**3.\nAnswer: (w + 1)*(4*w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 378 + -244. Suppose 0 = -i - 40 + o. Calculate the remainder when i is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 380690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/(30\/2)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2110, -8498, -19142, -34036, -53174, -76550, -104158, -135992?\nAnswer: -172046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4 - 4*q - 2 + 4. Let u be l(-2). Let j be (u - (0 + 3)) + -2. Solve -g - 3*f = -6, -f - f = -g + j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 6*i**2 + 8*i + 9. Let q be h(-7). Suppose -8*s - 25 = -3*s. Let t = -116.051 + 115.951. What is the third biggest value in s, t, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952177?\nAnswer: 421, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77 - -74) + -5 + 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5486 - -2.75. What is o rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1121*t**3 - 4*t**2 + 4*t**2 - 139*t**3.\nAnswer: 982*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -2*n**3\/3 - 14*n. Let s(v) = -2*v**2. Give s(i(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2\/5*z**3 - 2\/5 - 2\/5*z + 2\/5*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 370 - 246. Suppose -5*d + b = 2*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**2\/2 - j - 4. Is w(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - t**2 + 5*t - 3. Let l = -8 - -5. Let g be q(l). Determine s so that -1\/6*s + g + 1\/6*s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**2*t**2 - 3*q**2*t - 32239*q*t**2 + 6716068*t**2 with respect to q.\nAnswer: -6*q*t**2 - 6*q*t - 32239*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 468*r + 7648. Calculate j(-17).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-848402)\/(-364) - 6\/(-39). Suppose -q + 4*q - 6972 = 0. Let a = q - j. What is the common denominator of a and -19\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2, -13408, -1\/4, 0.2, 2 in decreasing order.\nAnswer: 2, 2\/5, 0.2, -1\/4, -2, -13408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6242427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89300 divided by 17860.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -19*s**3 + 2*s**2 + 4*s - 11. Let z(j) be the first derivative of 9*j**4\/4 - j**3\/3 - j**2 + 5*j + 6. Let d(b) = -4*g(b) - 9*z(b). Is d(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 49 = k - 2*m, -k - 58 = -3*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-280)\/(-1440) - (-1)\/4. Let r = -0.05 - -1.05. What is the biggest value in y, -2\/3, -1\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - 35864\/800 - (-6)\/8. Let h = 51 + l. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3968 and 816?\nAnswer: 202368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m = -20*m - 1190. Suppose m - 31 = l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + n - 1. Suppose -2*d + 0*l + 1 = 3*l, 5*l = -4*d + 1. Let s(q) = 0*q + 0*q - 3*q. Suppose 0 = -2*h - 8*h - 10. Give d*b(y) + h*s(y).\nAnswer: -y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 6, 0 = 3*z + a - 8 + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/s**(-16)))*s**(-13) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3*3120156\/1848. Let m = h - 3966\/7. Let w = 491 - 10783\/22. Calculate the common denominator of m and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18 + -18)*(-1)\/(-3). Sort -2, w, -5, -3.\nAnswer: -5, -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 508755710 to the nearest one million.\nAnswer: 509000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -519.4 + 480. Let a = -40.396 - v. Let q = 1 + a. What is q rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1774295970.\nAnswer: 2, 3, 5, 59143199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**2 - 3*s - 7. Let w(c) = 7*c**2 - 4*c - 8. Let n be (-1)\/(-4)*4*6. What is n*t(i) - 5*w(i)?\nAnswer: i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.004 - 0.0818. Let q = -0.1818 - d. What is the third biggest value in 3, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*h + 220, c - 7*h + 2*h = 55. Let k be 2\/(4\/5*c\/(-22)). Let r = 157\/1015 + -3\/35. Which is smaller: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2701878540 and -10.9901.\nAnswer: -2701878550.9901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 200 + -196. Suppose j + 160 = 5*c - p*j, c + 2*j = 23. Calculate the remainder when 81 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = s + 220. Calculate the least common multiple of 268 and s.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 7*r**2 - r + 1. Let h be j(7). Let f(g) = -g**2 - 9*g - 5. Suppose 4*v + v - 180 = 0. Calculate the remainder when v is divided by f(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12545 = 6*p - 4933. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6*-2 - 9. Let r be 432\/56 - 4\/(-14). Let b be f\/(-4)*r\/50. What is the second smallest value in -5, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/126181 and 37\/57355.\nAnswer: 630905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, d: 2, k: 2, h: 2}. Give prob of picking 1 k and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 404968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 45 = -35. Suppose -243 = -7*o + j. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18525453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -302.858 and -3392.74?\nAnswer: 3089.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/2 of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtggitiwg. Give prob of picking 2 t and 1 w.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 + -176.1. Which is the smallest value? (a) -0.16 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -692355 = -27*a + 40398. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + a = 2, -8*s + 7*s + 6 = 3*a. Suppose y + 3*c - 112 = s, -8*y + 5*c = -4*y - 482. Suppose y = 5*d - 3*d. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551.957 centuries in millennia?\nAnswer: 55.1957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608165?\nAnswer: 5, 121633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5734, -7028, -9188, -12214?\n\"Answer: -433*x**2 + 5*x - 5306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + r + 20 = 0, 3*y + 544*r - 12 = 542*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3637 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 74661974*m. Let s(l) = 6*l. What is n(s(o))?\nAnswer: 447971844*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10 = 3*z. Let h be (-1)\/((1 - z) + 3). Suppose 0 = 4*n - 8. Sort h, -4, n in decreasing order.\nAnswer: n, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35, 44, 75, 140, 251?\n\"Answer: 2*b**3 - b**2 - 2*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 14*r - 1218*r + 8569 + 7187 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -18*b**2. Let a(c) = -79*c**2 + 9*c + 115. Calculate a(s(q)).\nAnswer: -25596*q**4 - 162*q**2 + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 9 + -3 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*z + 2*z + 4 = -6*z + 4, 16*z = 3*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4403)\/(-7)*(-1789)\/30413.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9798874 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 3 - 37*t - 20*t + 3*t.\nAnswer: -54*t - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d2 (base 16) to base 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5126 (b) 1\/7 (c) 295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 10:12 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 74*m**2 + 13*m + 10. Let i be p(-3). Suppose 4*y + 3*r - i = 0, -r + 2 = -1. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m + 12*m - 363069 = 0. List the prime factors of m.\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b660 - 4?\nAnswer: b659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2688*b*d**3 - 24*d**3 + 15 wrt b?\nAnswer: -2688*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -486, -1006, -1528, -2052, -2578?\n\"Answer: -o**2 - 517*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 8*k. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 130*z**2 + 39.\nAnswer: 130*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (100\/6)\/(207\/27 - 7). What is the greatest common factor of t and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 15*i**2. Let b(w) = 2763*w. What is b(r(p))?\nAnswer: 41445*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, f: 1, s: 2, j: 7, b: 1, c: 2}. Give prob of sequence jscs.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -7*n + 37, 3*m = 5*n - 128 + 100 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -817 - -489. Let q = -731516\/1605 + 13686\/107. Let g = q - w. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -105. Let w(t) = 3*t - 4. Let z be w(3). Suppose 2*c - 3*f = n, 13 - 1 = 3*c + z*f. Solve 3*v - 2 = -j, 4 = c*v + 2*j + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let f be d(-2). Let j = -9.04 - -9.14. Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (5 - 0) - (1 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4605 + 367?\nAnswer: -4216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = -3*c - 24*s - 34, -2*s = -3*c - 19. Let l(t) = -171*t**2 + 3*t + 4 + 2*t + 173*t**2. Determine l(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26036229 and -3.\nAnswer: 26036226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32508 and 1634?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117343360*g**3 - 102116696 wrt g?\nAnswer: 352030080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 170 (b) 41 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.85658 meters in millimeters?\nAnswer: 13856.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56259 + 26296 + 80696 + j.\nAnswer: j + 163251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 6*f - 7485. Let j(d) = 6*d**2. Give a(j(h)).\nAnswer: 36*h**4 - 36*h**2 - 7485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2684445 is divided by 864.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*(-5 + (-5 + sqrt(1584) + sqrt(1584)*2 - 1*(sqrt(1584) + 1))) + -4 + -4))**2.\nAnswer: -241920*sqrt(11) + 2597904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttnn when four letters picked without replacement from ntttttttnnnnn.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/14 and 55\/2274.\nAnswer: 15918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 5*y - 20, 94*s = -19*y + 98*s + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 60*z**2 - 66*z - 396. Let l be w(-59). Calculate the highest common factor of 2176 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvcvcvcvvvvc. Give prob of picking 3 v and 1 c.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37060 + -18772. What is the highest common factor of d and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 2395488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*v - 26 = 5, -2*v = 2*q - 42. Suppose 3*f + 12 = -3*k, 3*f + k + q = -3*k. Solve -r + 5 = 5*g - 0*r, -g - r + f = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-12) + -3)\/((-3)\/18). Let t = -65 - -119. Let r = t + -48. Solve -z*y = -r*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 9*v**3 - 5*v**3 - 15*v**3 + 11.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1784 divided by 1.\nAnswer: -1784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 73\/4 of a hour?\nAnswer: 65700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 10*k - 6. Let t(g) = -2*g**2 + 20*g + 10. Let o(v) = 13*h(v) + 6*t(v). What are the prime factors of o(25)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886.3078 litres to millilitres.\nAnswer: 886307.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*t + t. Let o = -9 - -39. Solve -4*x + o = -5*l, -l = -t*x + l + 29 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (13 - (19 + 0) - 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21514 + 143?\nAnswer: 22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -24*r - 130. Let q(b) = -5*b - 26. Determine -14*q(v) + 3*u(v).\nAnswer: -2*v - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -1 + 1*2. Suppose 3*z + r = 140, -2*z = z + t*r - 124. Calculate the highest common divisor of 32 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 353966334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 60 = 35*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 2. Let r be g(-1). Suppose t = -4*t - 3*j + 23, 0 = -3*j + r. What is the greatest common factor of t and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 + 6956236*z - 18145957232886.\nAnswer: -2*(z - 5217177)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 66204?\nAnswer: 1059264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = -5*n + 1502, -5*n + 3*o + 1508 = 0. Let x = -184 + n. Calculate the remainder when x is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142 - -142. Suppose m + 3*a - 233 = s, 10*m + a = 5*m + 1235. Calculate the greatest common divisor of 31 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1379*w**2 - 5 - 1382*w**2 - 5*w**4 - 5*w**3 + 6*w**4 to h*w**2 + o*w**3 + g*w + n*w**4 + z and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53398.8 times -1?\nAnswer: -53398.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1287992 - 99173874\/77. Let s = x - 136\/7. Let l = -139.7 - -139.8. What is the nearest to 0.2 in s, 3, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -417*r + 62 + 46 - 66. Is f(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45\/17 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-6))\/(21\/(-686210)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 10*x**2 - 19*x + 2. Let j be c(-7). Let t be 28\/j - (-2)\/(-3). Let q(r) = -r**3 - r**2 + 2*r - 2. Determine q(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 25\/41 (b) 17 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9 - 3 - z**3 + 28*z + 4 + 16*z**2 - 61*z. Let t be c(11). Do 235 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 71 - 27 = 0. Let q = p + -29. What is the least common multiple of q and 10 - (0 + -1 + -1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -20 - 25 - -21\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -0.2. Let h(u) = 2*u**2 + 5*u - 5. Let n be h(-5). Let o be (-1)\/5 - (-24)\/n. Put b, 0.4, o in ascending order.\nAnswer: b, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 750192.5 nanograms to kilograms.\nAnswer: 0.0000007501925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/95 + 28\/10. Suppose -5*n - 20 = -5*k, 4*n - 2*k + 16 = j*k. Let p = 2 - 3. Put n, 2, p in increasing order.\nAnswer: n, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 3:09 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -11004114?\nAnswer: 11004122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76.88*5.\nAnswer: 384.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -509, -509, -519, -545, -593, -669, -779?\n\"Answer: -y**3 + y**2 + 4*y - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from kddknkqndqqkjjoqn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 - 1. Let b(o) = -6040*o - 7 + 12071*o - 6033*o - 5. What is b(z(u))?\nAnswer: -6*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3*b + 4*b)*(8 - 4 + 17) - 6*b + 7*b + 10*b.\nAnswer: 53*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*m + 65, -m - n + 26 = 7. Suppose 21*o = m*o + 28. Calculate the remainder when o is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 4. Let p be g(-2). Suppose -p*r + 4*r - 838 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - m + 4*m)*(m**2 + 1 - 50*m + 48*m + 0*m**2) in the form n*m**2 + z*m + c + w*m**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5293 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58292*-0.3.\nAnswer: -17487.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5210952 or -5210879?\nAnswer: -5210952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**7\/14 - 5*s**3\/6 - 20*s. What is the second derivative of v(g) wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6082, 10738, 15394?\n\"Answer: 4656*q + 1426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -705784752 by -18036.\nAnswer: 39132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2000 + 2000.43. What is the closest to v in -2, 0.1, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -164*k - 214*k**2 + 164*k in the form u*k + h + p*k**2 and give p.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010993988 to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1569.4951414 + 142.7?\nAnswer: -1426.7951414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 - 141 = 6*o. Solve 0*l + 2\/9*l**4 + 2\/9*l**2 + 4\/9*l**o + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4*v - 304, x - 157 = -0*v - v. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*n - 65 - 251 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*(342\/(-162))\/(-19).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -105a4 (base 15) in base 8?\nAnswer: -145300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 128*c - 63. Let m(p) = 4577*p - 2254. Let y(q) = -9*m(q) + 322*x(q). Let f(i) be the first derivative of -i**3\/3 + 1. Determine y(f(w)).\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -147.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30211 is divided by 82?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*46\/(-621)*1\/1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 2*u - 12. Let j be o(-5). What is the hundreds digit of (-3201)\/(-18) + j\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/125 - 69\/(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -72. Determine a so that 12*a - b*a + 8*a**2 - 6*a**3 + 0*a**3 + 7*a = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-3))\/((-2)\/6). Let b be 168\/18 - (-2)\/f. What is the greatest common factor of b and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 914 = -5*u, 0 = -0*t - t + 2*u + 305. Suppose 165 = b + 1. Let j = t + b. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*j - 125*j - 830*j in the form v + f*j and give f.\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7910798 and -53.9.\nAnswer: 7910744.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 28*k**2 + 4. Let x be b(-3). Suppose 3*c - 1426 = -2*f + x, 5*c - 2845 = 5*f. Is c a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 122?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 0.5. Let g be (-2)\/(4 + -2)*0. Sort g, -3\/4, i in ascending order.\nAnswer: -3\/4, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -203933\nAnswer: 101966.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 1. Suppose -4*j - 4*o = -244, 2*o + 10 = -0*o. Suppose -5*c + 5*y + 60 = 0, 3*y + j = c + 4*c. Let s be 1\/3 - 35\/c. Calculate d(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(-116)*(-2 - (-3 + 33\/57))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -8471097?\nAnswer: -25413291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**3 - 2*h**5 - 8*h**3 + (-h**2 - h**2 + 3*h**2)*(-35*h**2 + 35*h**2 + 13*h**3).\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(288))**2 + -1*-2*sqrt(8)).\nAnswer: -1734 - 168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 + (-128 - 1) + (-8 - -1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1983873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799047000 rounded to the nearest 1000000?\nAnswer: 2799000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 78725 divided by 5\nAnswer: 15745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 0, -2*u + 4*f + 28 - 20 = 0. Suppose -u*j = -9*j + 655. List the prime factors of j.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 14 = 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 x when three letters picked without replacement from ypppjypjpjjxx?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 13*t + 58. Calculate the remainder when 45 is divided by i(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/((-2400)\/220) + 0 + 1)\/((-12)\/(-126)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 2\/17 (b) 74 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1406 + -1402. Solve -b = -3*q - 1 + 8, 2*q + 2 = u*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/6)\/(6\/(-64)). Let v = -1 - b. Let s = v + 1. Calculate the highest common factor of s and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 2*g - 4. Let y = 7 - 5. Let l(c) = 2*c + 5 - c**2 + 0*c**2 - c**y. What is -4*d(f) - 3*l(f)?\nAnswer: 2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 455?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 7:50 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 8*f - 35. Let y be k(5). Suppose y = 4*m - 3*c - 24, 14 = 27*m - 29*m - 5*c. Factor t**2 + 0 + 0*t + 1\/2*t**m - 1\/2*t**4.\nAnswer: -t**2*(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1589, 1593, 1597, 1601?\n\"Answer: 4*t + 1585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-85 + 2300\/23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18424203 divided by -7?\nAnswer: -2632029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 182073644 a multiple of 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) -11 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 5*y = -94 - 36, 3*y = -11 - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28859 + 5945 = -3*f. Suppose 5*l + 5*k - 7432 - 2108 = 0, 4*l - f = -k. Suppose -5*u + z = -2*z - l, -2*z = 5*u - 1885. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112405 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3 - n**2 - 3. Let h(a) = 92*a + 93*a - 3*a**2 + a**2 - 185*a. What is h(k(i))?\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 83. Let m be (-4 - -7)\/(7\/((-322)\/6)). Let o = y - m. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -878 - -885.71. Let q = c + -0.71. What is the nearest to 1 in 0.4, q, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -605682, -605683, -605684?\n\"Answer: -b - 605681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**2 + 8*l**3 + 19*l**2.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3566829600?\nAnswer: 2, 3, 5, 37, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3133 + 7531. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202 is divided by 111.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 + 4*k - 3. Let l be v(2). Let m = -1 - l. Suppose -62 + 2 = -m*p. Solve 2*s - p = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 357\/(-34)*1454664\/(-2). Let s(b) = 905478*b**2 + 6*b + 6. Let m be s(5). Suppose 2*o - m = -n. Round o to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22, 206, 512, 940, 1490?\n\"Answer: 61*x**2 + x - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 360 - -a?\nAnswer: 36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729714303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1241 + 115?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opp when three letters picked without replacement from {o: 5, p: 2, g: 3}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -b - 1358, b - 645 - 445 = -4*d. Let p = 290 - d. Calculate the remainder when 304 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 274*k**3 - 73803*k**2 + 3610880*k + 7519148.\nAnswer: (k - 91)**2*(k + 2)*(k + 454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 10:35 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069031623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + (6 - -2 - (-56 + 61) - (-1 + 4)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f**2 + 2*f**2 + f**2)*(-3*f**2 + 4*f**2 - 2*f**2) - 3*f**4 + 6*f**4 + 11*f**4 to m*f**4 + v*f + g*f**3 + x + c*f**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yaayayynyyly. What is prob of sequence alya?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.53 - 0.53. Let j = k - 23.0000009. Round j to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2885?\nAnswer: 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -135, 1527?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.041 + -17. Let m = 2.059 + f. Round m to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m. Let n(q) = q**2 - q + 7. Let a(j) = -13*j**2 + 94*j - 49. Let t(u) = a(u) + 7*n(u). Calculate t(h(g)).\nAnswer: -24*g**2 - 174*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 25. Solve n + 1 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1739, 5043, 8345, 11645, 14943, 18239?\nAnswer: 21533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w - 20 = 0. Suppose -w*x + 5 = -3*i, 2*i - 10 = -2*x - 2*x. Solve 0 = x*d - 3*g - 2*g + 24, -4*d = 3*g - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 6, 2, 3, 6515 in increasing order.\nAnswer: 2, 3, 6, 10, 6515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(288)\/sqrt(6) - (2 + (0 + (sqrt(12) - sqrt(3)))**2).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/1293 + -86633\/2586. What is the common denominator of 44\/(-12)*81\/6 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 63*s. Let u(m) = 39*m**2 - 33*m - 99. Let h(n) = 5*n**2 - 4*n - 12. Let y(t) = -33*h(t) + 4*u(t). Calculate b(y(c)).\nAnswer: -567*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*q + 15*q**2 + 127*q - q**2)*(4*q - 5*q + 2*q) + 3*q**2 - 3*q**2 - q**3 - 4*q**2.\nAnswer: 13*q**3 - 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 13. Let t be q(-9). Let n be (-32)\/(-15) + t\/(-165). Suppose -n*v + 36 = -354. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30923 or -30917?\nAnswer: -30923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9834 and 5566?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = -13. Let b(s) = 3*s + 23 - 2*s + 4*s - 6*s + 0*s. What is the remainder when b(l) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 44668.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (30\/(-35))\/((-366)\/(-133) + -2) and 32\/135.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1332 and 198234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -161479 (base 16) in base 2?\nAnswer: -101100001010001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173 + -2767\/16. What is the common denominator of 29\/26 and s?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**2\/2 - 11. Let l(s) = -6*s. Let g(n) = -44*k(n) + 6*l(n). Let a(m) = 2*m**2. Give a(g(j)).\nAnswer: 128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 5:57 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8367 divided by 3\nAnswer: -2789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3219676, -6439353, -9659030, -12878707?\nAnswer: -16098384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 6. Let w = l - 0. Let z be -18*(4\/3 - 2). Put w, 1, z in ascending order.\nAnswer: w, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*u**3 + u**3 + 4*u**3 + (-4*u - u**3 + 4*u)*(2 + 0 - 4) + (-2*u**2 + 2*u**2 + u**3)*(3 - 3 - 1) as k*u + b*u**3 + y + d*u**2 and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + 5*d + 133*d)*(-4 + 12 - 1)*(3 - 1 + 0) + (-2 + 1 - 1)*(3*d + 2*d - 4*d) - 3*d - d + 2*d.\nAnswer: 2026*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(3 - 3\/2). Suppose -a*d - 14 = -4*p, -4*d = -2*p - 1 - 1. What is n in 1\/2*n**d + n + 3\/2*n**2 + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731*x - 3 = -734*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyqjejyqjqsjyqyj. What is prob of sequence yqqs?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 5*u + 11. Determine l(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160816553.985 + 161235501. Let d = w + -418975.01499945. Let o = 28 + d. Round o to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 2*z - 2. Let m(d) be the third derivative of d**6\/120 + d**5\/20 + d**4\/8 + d**3\/2 - 2*d**2. What is -2*m(w) - 3*n(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/4, -4, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1530.368919 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 4:43 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3009 by 1003.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -248a?\nAnswer: -2487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 62718, -20 in decreasing order.\nAnswer: 62718, 59, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*f = 11*f - 676, 0 = i - 2*f - 182. What is the lowest common multiple of i and 58?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114275 and 20050?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (3 - 0))*-2. Let q(t) be the second derivative of 3\/2*t**2 - 1\/2*t**3 + 0 + 1\/12*t**4 - a*t. Give q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160198, 160208, 160220, 160234?\nAnswer: 160250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10) + 27\/(-15). Let z = -3\/2 - l. Put 2\/21, z, -0.08 in decreasing order.\nAnswer: z, 2\/21, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suuusuusssus. Give prob of picking 3 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -106*f. Let h(v) = -10*v**2 + 565. Give p(h(s)).\nAnswer: 1060*s**2 - 59890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/3))**42*(j**(1\/2)*j)**(-1\/16)*(j\/(j*j\/((j\/j**1)\/j*j)*j))**(28\/5)\/(j**0*j)**(-2\/33) assuming j is positive.\nAnswer: j**(310289\/5280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -5935.\nAnswer: 1\/1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**3\/3 - 19*m**2\/2 - 47*m + 59. Let y be h(-18). Which is the fourth smallest value? (a) y (b) -2 (c) -6\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6268061 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*g - 735900 + 83430. What is the highest common divisor of 21 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g**3 + 9*g**3 - 10*g**2 + 15 - 25 + 23 + 13*g - 7*g. Determine m(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(18\/16) + 4\/18. What is the nearest to d in -0.5, -3, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, r: 1, g: 1, z: 5}. Give prob of sequence zry.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 57. Suppose z*m - 2*o - 454 = -m, -5*m + 567 = -3*o. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -193*z + 7739. Calculate v(41).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 547 divide 633276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in seconds?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-6)\/(-15))\/(-2))\/((-6)\/(-15)). What is the closest to v in -3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 986072.8 centuries in millennia?\nAnswer: 98607.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c6ba + -10d?\nAnswer: 8c5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s - 9. Let y = -40 + 35. Let b be u(y). Suppose b + 92 = -t. Round t to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -28 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 3*t + 0*t)*(1872 + 2350 - 2459) to the form r + x*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12411 (base 7) to base 9\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96*1*((-4263)\/196 - -22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31901 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-2128)\/(-642) - 64\/48. Which is the third biggest value? (a) 4 (b) -2 (c) -0.5 (d) i (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*u + 19, -2*r - 11 = 3*u. Find the first derivative of -5*h**4 + 7*h**4 + r + 0 wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -44 - 488. Calculate the greatest common factor of 494 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/286 + -45\/286. Put 5\/8, 10, -0.2, y in decreasing order.\nAnswer: 10, 5\/8, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 149 = -5*u - 5689, -3*m + 2*u = -3324. Let s = 2455 - m. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/11)*s**(-3\/8)*s)\/((((s\/((s*s**0)\/s))\/s)\/s)\/s)**11)**(1\/25))**1 assuming s is positive.\nAnswer: s**(79\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 6*n**2 - 2*n - 1. Let x(i) = 23*i - 4. Let v(y) = 5*t(y) - 2*x(y). What is the first derivative of v(j) wrt j?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2104325.4 months to years.\nAnswer: 175360.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/18)\/(3\/(-36)). Suppose 2 = -2*z + w. Suppose -3*c + 5*h = z, -3*c + 0 = -4*h + 3. Let o(u) = u**2 + 5. Let t(s) = 1. Give c*o(j) + 5*t(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:55 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-970)\/291*(-18)\/(-70))\/((-6)\/(-280))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 - 21*v - 99. Suppose -4*r = -4*m + 64, -4*m = -7 - 13. Is c(r) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 9*w**2 - 4*w - 4. Let p be j(-6). What is the common denominator of -25*-2*(-2)\/p and 23\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {u: 1, i: 1, g: 2, e: 1, f: 2, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -362, -742, -1122?\n\"Answer: -380*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 157 (b) -0.081 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 - 3*z**2 - 8*z - 9. Let s(v) = v**3 - v**2 - 2*v - 2. Let r(d) = 2*g(d) - 9*s(d). Determine r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 374.3662 micrograms?\nAnswer: 0.3743662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(63)\/sqrt(3) - sqrt(42)\/(sqrt(2) - sqrt(2)*-5))\/(-4*(4*sqrt(252)*-4 - sqrt(252))))**2.\nAnswer: 961\/1997568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481, -1901, -4243, -7489, -11621, -16621?\nAnswer: -22471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 643*d - 326.\nAnswer: 643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.34753002 rounded to 2 decimal places?\nAnswer: -5.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49, 200, 451, 802?\n\"Answer: 50*u**2 + u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.1575816 to two decimal places.\nAnswer: -7.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {i: 2, w: 5, c: 3, r: 1, b: 8, h: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 935578277 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 5)*(-f**4 + 1 - f**2 + 2*f**4 - 1500*f + 1451*f).\nAnswer: 6*f**4 - 6*f**2 - 294*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p = -42*p + 39. Let d be ((-104)\/24)\/p*(1 - -308). Is d at most 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t + 26. Let d be k(11). Let v = d - -30. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50170?\nAnswer: 2, 5, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6\/28) - (3 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**9\/20160 - t**8\/20160 + t**6\/720 - t**5\/15 - 3*t**2. Let b(f) be the third derivative of m(f). Give b(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(109\/327). Put y, 3, 0, -2, -30 in descending order.\nAnswer: 3, 0, y, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364, -761, -1158, -1555?\nAnswer: -1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791353 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 24770 = 7656. What is the remainder when y is divided by 336?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435c3c (base 14) to base 15.\nAnswer: 301530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 2, a: 1, z: 2, y: 1}. What is prob of picking 1 y, 1 g, and 1 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 121*d - 135*d. Let u(t) be the second derivative of -1\/2*t**2 - 4\/3*t**3 + 0 - d*t. Calculate u(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1384724 and 2420?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.235009 to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(5 + (-30)\/(-25)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011012 + 2110?\nAnswer: 20020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.19, 2, 67071, 3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 6*m + 141. Let k be b(-15). What is the greatest common factor of 75 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100144549 and 5446.\nAnswer: 1402023686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 50 - 21)*(-n + 4*n - 5*n).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**2 - 43*q - 9. Give i(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1)*(45 + -45)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250734 (base 9) in base 8?\nAnswer: 447715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1119, 6, 0, -1, 2 in ascending order.\nAnswer: -1119, -4, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 6*s + 6. Let z be c(-7). Let j = -6\/6367 - 579157\/254680. Let b = j - -15\/8. Is z greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12 + 0.36. Let q = b + 0. Let s = q - 0.04. Is 0.1 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*p**2 - 73*p**2 - 64 - p**4 + 137*p**3 - 138*p**3 to the form d*p**3 + s + f*p + h*p**4 + a*p**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 37 = 1. Let f = 2562 + -2562. Solve -4*i - z*d = f, -i = -3*d + 7*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-33 + 3080\/80).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22 - -0.21. Which is the second biggest value? (a) 0.4 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*((n - 3 + 3)*(-4 + 0 - 3) + 5*n - 3*n + 0*n) as b + h*n and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(17) - -4*sqrt(34)\/sqrt(2)))**2 + 1.\nAnswer: 6801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*g + 1776659 + 347921. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.39 + 12.61. Which is bigger: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1157\/778 + -5\/389. What is the fourth smallest value in u, -0.2, 3, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.5, 4, -0.2, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, a: 3}. Give prob of picking 2 a and 2 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 18*y - 987. Let x be s(55). Solve b - 12 = -0*b - x*d, -17 = -b - 4*d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 1, 50, -3 in ascending order.\nAnswer: -5, -3, 0, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/14)\/(9*44\/(-1386))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 7*n**2 - 5*n - 17. Let h be s(8). Suppose t - o + 3 = -h, o = 2*t + 15. Put 2, t, 54 in decreasing order.\nAnswer: 54, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-111)\/74*3\/18)\/(2\/(-40))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a**2 - 4*a + 11. Let w(b) = -8*b**2 - 3*b + 9. Let v(l) = -7*w(l) + 6*y(l). Give v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 + 0 = 0. Suppose -a*v = -v - 4. Let 1\/4*b**5 + 3\/4*b**v + 0 - 1\/2*b - 3\/4*b**2 + 1\/4*b**3 = 0. Calculate b.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from xxyxlyxl?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.9 - -12.8993553. Round p to 5 decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 179 + 31. Let j = u - -13. Let z = j - -42. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 u, and 1 f when three letters picked without replacement from {u: 1, f: 5, s: 2, h: 3, i: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 3*u**2 - 55*u + 12. Let p be a(9). What is the greatest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5*j + 454*c**2*j + 1596*c*j - j wrt c?\nAnswer: -20*c**3*j + 908*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from swssxsysy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -6*k - 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2155 (base 10) to base 15.\nAnswer: 98a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -6*w - 5, -3*f = w - 23492. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 3*d**7\/7 - 3*d**3 + 3. Find the third derivative of l(t) wrt t.\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 135.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18567 + 18562. Sort -4, 1043, -1\/3, m in ascending order.\nAnswer: m, -4, -1\/3, 1043","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:06 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 320856568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.7 (c) 0.05 (d) 21.3 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3155.81 + 3156. Which is the second smallest value? (a) 0.7 (b) 3 (c) n (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 702 - 405. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*g + 61, -2*l - 4*g + 23 = 5. Let t = -24 + l. Let b = t + 7. Sort 4\/5, -1, b in descending order.\nAnswer: 4\/5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 499*l + 2032. Let u be v(4). Sort -1, u, -106, 0.\nAnswer: -106, -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43736 or 43721?\nAnswer: 43736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 - 232*f**3 - 3 + 0*f**4 + 234*f**3 + 0 - 6*f**4 + 5*f**2 to a*f**4 + o*f + n + l*f**2 + s*f**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*n + 37. Let c be (-9 + (50\/(-5))\/5)*(-10)\/55. Solve -c = p - n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.7 - 7.7. Let p = -0.8 + 6.8. Let h = p + -5.8. What is the third biggest value in h, 9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 - 2*j**4 + 3*j**4)*(4*j + j - 3*j)*(6 - 2 + 6).\nAnswer: 40*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a factor of 1396564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1067246, 2134454, 3201662?\nAnswer: 4268870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 4\/11, 0.3, 0.1 in descending order.\nAnswer: 4, 4\/11, 0.3, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11127829\/11 or -1011620?\nAnswer: -11127829\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:00 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-2\/25)*c)\/(c\/c**6*c) assuming c is positive.\nAnswer: c**(173\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**6*x + 16961040*b**3*x - 36*b**2*x - 4*b**2 + 17*b + x + 179 wrt b.\nAnswer: 360*b**3*x + 101766240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*b + 31, 2*v + 7 = -0*v - 5*b. Let m = 9\/10 + -4\/5. Let s = -23 - -22.8. What is the closest to s in -3\/2, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 5, z: 3, w: 1, h: 4}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 4*x + 0 + 2 + 3*x. Suppose z + 67 = 5*z + q, z + 4*q - 28 = 0. Suppose z = 2*w + 2*w. Give f(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/20)\/((-6)\/15). Solve 6 = k + c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 26.45\nAnswer: 5.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1030718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/14*(-8)\/(-6). Let j(m) = -m + 4. Let n be j(p). Factor -3*k**3 + 0 - 2 + 2*k**2 + 2*k + n*k**3 - k**3.\nAnswer: -2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 5*s + 2*o + 279, o + 372 = 4*s. Suppose 19 = q - s. Let a = q - 786\/7. What is the third smallest value in -2, 2\/5, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.006122 months in centuries?\nAnswer: 0.023338435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -199 + 199.25. Let p = 0.25001305 - w. Round p to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25, 51, 85, 127?\n\"Answer: 4*f**2 + 14*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**3 + 4*f**2 + 9*f + 4. Let p be q(-2). Let b = -44 + p. Find the first derivative of 73*w**3 - 73*w**3 - 21*w**4 + b wrt w.\nAnswer: -84*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmxxmmmxmx. What is prob of sequence xxmm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 7\/2*n**3 + 0 + 0*n**2 + n. Let u(c) = -540*c + 4. Let q(m) = -946*m + 7. Let i(f) = 4*q(f) - 7*u(f). What is v(i(r))?\nAnswer: -84*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/3*(-58)\/(-87)*(-18)\/(-8). Put 0, f, 162 in descending order.\nAnswer: 162, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (11 - (8 - -9 - 21)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*(-6)\/(-63)*6. Let j be (-1 + 1)*1\/u*-1. Solve -3*o + o - 10 = j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1596797?\nAnswer: 61, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 7*a**2 + 3*a + 5. Let u be v(7). Let c = u + 5. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 33*p + 206. Suppose 2*n - 375 = -3*y, 20*y - 4*n - 375 = 17*y. What is the remainder when y is divided by x(27)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 + 4*r**3 + 23 - 2*r**3 - 11.\nAnswer: -3*r**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-10))\/b**(-32) assuming b is positive.\nAnswer: b**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/20 + 6*y**2. Let i(n) = 20*n - 15. Let f(t) = 5*t - 4. Let w(r) = 15*f(r) - 4*i(r). Calculate g(w(h)).\nAnswer: -75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-198)\/((-7)\/7))\/2*(-267)\/801?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 16*n - 3 + 2*n**2 - 1 to the form i*n + h*n**2 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 549*n**2 + 1614*n + 1049. Give w(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 8*y**2 + 10*y + 9. Let j be f(-6). Let h = j - 5. Calculate the greatest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 4*j + 6. Let d be 1\/((3\/(-4))\/(-3)). Suppose 2*b + 4 = -d*c, -5*b + 44 = -4*c + 12. Give f(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2125 and 2465.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458\/14 + (-4)\/(-14)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64.1 + 64. Sort -0.01, -2, 0.2, m in descending order.\nAnswer: 0.2, -0.01, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -1610\nAnswer: 6\/805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -454.9433 - 0.0567. Let r = i - -454.6. Let v = -114 - -568\/5. Which is the nearest to v? (a) 0.2 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 10 = -i, -5*i + 36*z - 6 = 32*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*u - 23 = 0, 4 = -5*m - 5*u - 1. Suppose h - 4*d - d + 4 = 0, 5*h - 28 = d. Solve -m*c = -h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/88 (c) 86 (d) -1 (e) 1 (f) -0.1 (g) -10\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-5 + 3) - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -2\/11, -1\/24, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 2\/15 (b) -3\/2 (c) 3 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 12:06 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 16) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*d**3 + 89819*d**2 - 179636*d**2 + 89817*d**2.\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32437101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1927 + 553 = -k, 0 = 5*k + i - 6852. Let q = 52063\/38 - k. Is -1 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 6. Let b = -17 - -26. Let t = i + b. Solve 5*x - 3 = t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from {a: 1, u: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -202929330 to the nearest one million.\nAnswer: -203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -5 + (14 - -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 10 = 20. Let o be 16\/r + (-2)\/(-5). Suppose 6*t - 32 = o*t + 4*l, -2*t + 16 = l. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*15\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*p + 480, 4*n + 5*p - 632 = p. Calculate the lowest common multiple of 246 and n.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*k + 25, k - j + 1 = 6. Solve -3*x - 6 = -k*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78028606?\nAnswer: 2, 17, 179, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10715453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 463 and 73826276.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 42*y + 8*y**2 - 8*y**2 + 43 + 4*y**2. Let m be k(20). Let j(p) = -3 + 2 - 3*p - 3. Calculate j(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44281 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396681915 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*k**2 + 3\/8*k**4 - 1\/4*k + 1\/8 + 1\/4*k**3.\nAnswer: (k - 1)*(k + 1)**2*(3*k - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*w + 17, 995 - 968 = -3*w - 3*x for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31915?\nAnswer: 5, 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 2 - (2 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = 10. Let o = y - -22. Let h = 75 - 43. Calculate the remainder when h is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*n + 32, 0 = -n - 2*n + b + 8. Suppose -4*x - 24 = n*t, 4*x - 36 = 3*t + x. Put -1, -4, t in increasing order.\nAnswer: t, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 9*p - 10. Is h(-7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 251, 45, 3 in decreasing order.\nAnswer: 251, 45, 3","meta":{"dup_signals":{},"source":"comparison__sort_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: Round -131889.794 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w - 8. Let f = 7 + -1. What is the units digit of u(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10 and ((-406)\/580)\/((-13)\/18).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 55\/7477741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3\/5, 2\/13, 0.82?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 2*a - 22, -a + 1684 = -3*z + 1673 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27.23 and 2.\nAnswer: -54.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*c + 3332 + 5979 + 4804 = 1767 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*s = -19, 2*q + 2*s + 7 = 3*q. Let p(n) = -n**2 - q + 0*n**2 + 2*n**2 + 6*n - 2*n**2. Determine p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3570 = 9*r - n - 3703, 0 = -n - 5 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {d: 11, o: 5}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t + t - 8616. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s - 2985. Let o be ((-10232)\/12)\/((-2)\/3). Suppose 0 = 6*v - s - o. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/396 and 19\/97386.\nAnswer: 6427476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1121814 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1875204 is divided by 3319?\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40982381 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 13. Let x = -18 - -5. Let z = x - -27\/2. Sort -3, b, z in decreasing order.\nAnswer: z, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-4))\/(9\/48). Let s = t - 12. Suppose 5*x + 4*l - 3*l - 140 = s, x + 3*l = 14. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2 - 80*t - 271. Determine x(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894 a factor of 2120685123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.421, 87481 in descending order.\nAnswer: 87481, 3\/2, 0.421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 164577, 333626, 502671, 671712, 840749?\n\"Answer: -2*t**2 + 169055*t - 4476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/17))**(-28) assuming d is positive.\nAnswer: d**(-28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -2, 0, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-519)\/(-21) - (-1 - 85\/(-119)). What is the highest common factor of u and 290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*o + 4*s + 142 + 1293 + 270, -s = -2*o - 41 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(-44 + 45).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 2*b**2 - 2*b - 3. Let n be l(3). Suppose n*u - 4*u = -28. What is the remainder when u is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 84? (a) -2\/3 (b) 0 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-475)\/((-38000)\/(-256)))\/(4\/10*1\/5).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108036026 is divided by 78.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/((-2160)\/870) - (2 - (2 - -10))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*t = 69 + 55, 0 = -t - 4. Let a = -34 + l. Let d be 3 + (-3 - 4\/40). Which is greater: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*(-2)\/8*-2. Suppose -6*v = -n*v + 3*c - 7, -4*c - 36 = -3*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 34 = -m. Let u be m\/(-39) - (-2)\/13. Suppose 0 = -4*q + j - 3*j + u, -3*q = -3*j - 15. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -14. Let d be 4\/((-8)\/x + -2). Solve 2*c = d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 312*c**2*f**5 - 120*c**2*f**2 - 4*c**2*f + c**2 + 9*c*f - f wrt f?\nAnswer: 6240*c**2*f**3 - 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 - 43. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1330548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 - -16 - (77 + -74) - 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4 - 5. Let d be (0 + t)\/(7\/(-2)). Which is the nearest to -1\/3? (a) -1 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -2, -36, -84, -146?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -877 + 877 - z**4 + 989*z**2 + (-2*z + z**4 + 2*z)*(3 + 4 - 1) as o*z**4 + s + n*z**2 + p*z**3 + f*z and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1641228651 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3029 + 3685. Calculate the remainder when g is divided by 67.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232 - -275. Suppose -p + 507 = 2*p. Calculate the remainder when p is divided by y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5)\/r)**2)**(-22) assuming r is positive.\nAnswer: r**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5116 - 190124.3392.\nAnswer: -190123.8276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2214?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12052 times 3\nAnswer: -36156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4800*o + 4799*o + k - 1 = 0, 3*k = 2*o + 20 - 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3383, -6578, -9583, -12398, -15023?\n\"Answer: 95*q**2 - 3480*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 342.\nAnswer: 14022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -49*t - 88. Let l be d(-2). Calculate the highest common divisor of l and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-7))\/l*l\/l**(-1\/4)*l*l*l*l**(1\/3)*l*l**(-2))\/((l**(-2\/7))**(-5\/3)*l**(-7)*l*(l*l**(-1\/8)*l)\/l*l*l*l) assuming l is positive.\nAnswer: l**(685\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5236843*s**2. Let o(n) = 16*n**2. Determine r(o(q)).\nAnswer: 1340631808*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-4))\/(m*m**7*m*m))\/((m*m**(-3))\/(m**(-1\/15)*m*m)))**(-37) assuming m is positive.\nAnswer: m**(5032\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2190, 2193, 2196, 2199, 2202?\n\"Answer: 3*t + 2187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 25 = 2*t - 18, -3*t = -3*x + 111. What is the highest common divisor of 3497 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46509 and 137851?\nAnswer: 15301461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6.3. Suppose 431*j + 378*j - 809 = 0. Which is the nearest to 2? (a) p (b) j (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 65993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252203?\nAnswer: 7, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from {a: 2, x: 1, q: 6, t: 2, s: 5}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56313 smaller than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15448 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**(-47)*(x\/(x*x*x\/x**0))**(-43))\/((x\/x**(1\/3))**33\/(x**(2\/9)*x*x\/(x*x*x**4))) assuming x is positive.\nAnswer: x**(4640\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2127686755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.346516 + 1.348. What is a rounded to 5 decimal places?\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**3\/4 - 2007*v**2\/4 + 28659*v\/2 + 30672 = 0.\nAnswer: -2, 32, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 226, 958, 2166, 3838, 5962, 8526?\n\"Answer: -2*b**3 + 250*b**2 - 4*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 1, w: 2, o: 1, u: 4}. What is prob of sequence uu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 5*b. Suppose 2*t + 3*t = b. Solve t = 2*n + 9 - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**4)\/m*m*m)\/(m**(9\/5)\/m))\/((m*m**(3\/4)*m)\/(m\/(m*m**(2\/3)*m))))**45 assuming m is positive.\nAnswer: m**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 11132454100?\nAnswer: -11132454052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03645 + -0.10404. Round m to three decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 9*q**8\/56 + 2*q**6\/5 - 65*q**4 + 689*q. Find the third derivative of g(a) wrt a.\nAnswer: 1080*a**3 + 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (2 + 0))\/(-2). Suppose -r + b = -k, -6*k + 2*k + 5*r - 11 = 0. Sort 4, k, -2.\nAnswer: -2, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16514 - -16514.0116224. What is t rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 3 + 3\/(-1) + 6. Solve -3*v - 6 = -2*g + 3, 3*g = -k*v + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 + (10 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1010110100010110 (base 2) to base 16\nAnswer: -ad16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -1621?\nAnswer: -1635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a - 1. Let k(v) be the second derivative of -v**4\/12 + 5*v**3\/6 - v**2 + v. Let j be k(5). What is m(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6 - 0) + (-54 - -24 - -16) - -54) + -4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {h: 3, m: 6, c: 7, e: 1, t: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1 + 4 + sqrt(19) + -5 + -4 + sqrt(19) + ((sqrt(2299) - -5*-3*sqrt(2299)) + sqrt(2299) + sqrt(2299))*-4)**2.\nAnswer: -4248*sqrt(19) + 5357275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497326 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23578582 less than -1.04?\nAnswer: 23578580.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/3)\/((-4)\/(-6)). Suppose 2*o + 0 + 0 + 3*o**2 + 0*o**c + o**3 = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 32 = -4*g. Is -33\/2 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b. Suppose 4 = -c - c. Calculate r(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + 3*q - 5. Let t(l) be the third derivative of 25*l**2 + 1\/6*l**3 - 1\/24*l**4 + 1\/60*l**5 + 0*l + 0. What is -i(s) - 5*t(s)?\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142291798\/13 or 10945522?\nAnswer: 10945522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(2*sqrt(30)\/sqrt(5))*-2*-2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 176 = 3*m - 2*m, 186 = -2*q + 4*m. Let r = 161 + q. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 7. Let w(d) = -2*d + 3. Let h be w(4). Let x be m(h). Suppose 3*j + 2*t - 12 = x, 4*j = t + 37. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 403 (c) 1\/32 (d) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -2\/103 (c) -0.3 (d) 1 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + 1 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 741.\nAnswer: 8151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let w(j) = -6 + 3 - j**2 - 5 - 11*j. Let l be w(-10). What is the third biggest value in l, -4\/3, x?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17407\/5 - 3493. Let p = 299571\/10 + -29988. Let o = b + p. Find the common denominator of o and -52\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 6*y**2 + 9*y + 9. Let z be n(4). Calculate the highest common factor of 221 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 5831790*q - 2834147883675.\nAnswer: -3*(q - 971965)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9865390 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1109 + 1145. What is the least common multiple of p and 178?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052568 to 5 decimal places.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 7 = -3*d. Suppose 0 = -5*v + 51 + 4. Suppose v = 2*i - 1. Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14\/5 (b) 2\/13 (c) -0.2 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*p**2 + 3)*(p + 1 - 1) - 2*p**3 + 4*p**3 - 4*p**3 - 2*p**3 - p**3 + p**3 + 6*p**3 - 4*p**3 - 10*p**3 to a*p**2 + c*p + w*p**3 + k and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w. Let v(c) = 9*c**2 - 8*c + 8. Let k(i) = -6*i**2 + 5*i - 5. Let s(u) = 8*k(u) + 5*v(u). What is s(n(l))?\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 203 = d, -2*d = 2*d - 8. Let i = -12 - x. Suppose 11 = -4*g + 4*z + i, -3*z + 15 = 0. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 184*w**2 - 23*w. Let x(t) = -23*t**2 + 3*t. Determine 3*j(g) + 23*x(g).\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.467085.\nAnswer: -0.0467085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60750856*t - 60750856*t + 6*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -725*l + 731*l - 660 = 0. Let w = -105 + l. Solve -2*g = -w*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -48*h - 238. Let a be b(-5). Solve -3*c = 5*j + 1 - 17, -a*c + j = 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqsszqqssqzzsqqqsz. What is prob of picking 2 q?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11327 - -20\nAnswer: 11347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0.5, -11, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 13*h**8\/6720 - h**7\/280 - h**4\/3 - h. Let x(m) be the third derivative of d(m). Find the third derivative of x(l) wrt l.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2)*(u**3 + 0*u**3 + 0*u**3) - 6*u**3 + 21*u - 21*u.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98467 * -0.175.\nAnswer: -17231.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 - -4.11. Let v(k) = k**2 + 6*k - 4. Let f(d) = -d**2 - 4*d + 5. Let n be f(-6). Let p be v(n). Which is the nearest to 2\/5? (a) h (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j - 157. Let f be r(27). Let k(c) be the first derivative of c**4 - 5*c**3\/3 - c**2 - 5*c + 1. Let t(i) = i**3 - i**2 - 1. Determine f*t(h) - k(h).\nAnswer: h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82324232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-15))**(1\/6)*(n**(7\/6))**(11\/9) assuming n is positive.\nAnswer: n**(-29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (66\/5)\/((-9)\/(-45))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15874, 32622, 49368, 66112, 82854, 99594?\nAnswer: 116332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:13 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2 - 4. Let f(o) be the first derivative of -3*o**3 - 7*o - 1. Let p = 0 + -5. Let m(s) = p*z(s) + 3*f(s). What is the derivative of m(g) wrt g?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51387 by 17129.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -471.907 - 0.093. Let r = -472.4 - n. What is the closest to r in 8, -3\/7, 0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/3189 (b) -3 (c) -10\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 2. Let k be w(6). Suppose -k*a = -f + 15 + 7, 32 = 2*f - 2*a. Calculate the remainder when 55 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(18*a**2 + 349*a - 349*a)*(-7 - 1 + 0).\nAnswer: -288*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331371625?\nAnswer: 5, 13, 203921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-28)*2)\/((-1)\/2*4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 8*y + 195. Let g(j) = 3*j**2 - 7*j + 162. Let u(q) = -6*g(q) + 5*w(q). Let z(d) = -21*d**2 + 15*d + 21. Calculate 15*u(c) - 2*z(c).\nAnswer: -3*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 + 2108*i**2 + 127715*i - 1569129450 = 0. What is i?\nAnswer: -762, 1435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*j - 117*j + 36*j + 38*j + 2.\nAnswer: -6*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16)*l)\/(l*l**(-13)) assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140 + 140.3. Suppose 0*r + t - 23 = -5*r, r + 11 = 5*t. Suppose -r*m + 6 = -6. Which is the closest to -8? (a) n (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4\/8)\/(14\/14840)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 1088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/16)*p**(-2\/23))\/(p*((p**(-3)*p)\/p)\/p*p)**(-1\/37) assuming p is positive.\nAnswer: p**(-1069\/13616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1 - 2*t + 1 + 10*t. Let a(j) = -j - 1. Let b(i) = i - 2. Let s(u) = -2*a(u) + b(u). Let h = -38 + 27. What is h*s(n) + 4*l(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m - 1. Let h be s(1). Suppose l = c + 1, 3*c + 6*l = 3*l + 3. Suppose c = -x + 5*z + 109 + 35, -h*x + z = -557. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 14*t**2 - 18*t - 4. Give q(9).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7ed61c (base 15) to base 7\nAnswer: 102406464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.46 - -0.06. Let w = u + 0.9. Which is the biggest value? (a) -5 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.04 (c) 2 (d) 125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6164050 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 0*j - 3\/4*j**4 + 4*j**3 - 12\/5*j**5 + 8 + 3\/2*j**2. Factor w(n).\nAnswer: -3*n*(n - 1)*(n + 1)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0 - 1 = 3*q, -5*i - 2 = 4*q. Suppose -84*z = -35 - 217. What is the biggest value in q, z, 0.3, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 10101?\nAnswer: 10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 - (1 - 5). Suppose 7*m = 2*m - 2*x + 252, 4*x = -3*m + 154. Suppose 8*g - m = n*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -19*v**3 + 17*v**2 - 6*v + 21. Let w(p) = 11*p**3 - 9*p**2 + 3*p - 11. Let a(o) = -4*b(o) - 7*w(o). Let m = -14 + 8. What is a(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmwnzrswwsmwnnrm. Give prob of sequence zss.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dll when three letters picked without replacement from {l: 11, d: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 7*z = -4*t + 696, 0 = -2*t + 2*z + 320. Solve 50*c + t = -6*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i*v**3 - 544263*i*v**2 + 6*o*v**3 + 6*o + 103007*v**3 wrt v?\nAnswer: -6*i + 36*o + 618042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1777193\/73 or 24346?\nAnswer: 24346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2767 + 26?\nAnswer: 3015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, k: 5, t: 8}. Give prob of sequence tk.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-76)\/(-20))*5. Let w be q\/6 + 8\/(-12). Let u(y) be the second derivative of y**2\/2 + 13*y. Let h(c) = -2*c + 2. Give w*u(x) + h(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 5. Suppose 5*j + 1 - f = 0. Let s be 1 - (45 - 1)\/j. What is s rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + 5*r**2 - 5*r**2 + (3*r - 3*r + 2*r**2)*(7*r**2 - 3*r**2 - 2*r**2) + 0*r**4 + r**4 + 2*r**4.\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620475416 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*w - 20*w - 15*w + 11 in the form i*w + g and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Suppose -v + 3 + 6 = q. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12664 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**2*p**3 + 125763*h**2*p + 52969*h*p**3 - 2*h - 2*p**3 + 76 wrt h.\nAnswer: -8*p**3 + 251526*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.36 + -0.04. Let p = r + 0.6. What is the closest to -2\/3 in -1, p, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryvizriyy. Give prob of picking 2 r.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**(-2\/65)*i)\/(i\/i**(-2\/9))*(i**(6\/11)*i)\/(i*((i**(-23)\/i)\/i)\/i*i))**32 assuming i is positive.\nAnswer: i**(5825984\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 4680493?\nAnswer: 468049.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4435.154 - -4730.6383. Let m = -347.461 + s. Let c = m + 52. Round c to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:46 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-51)\/(-90)*(-17840)\/2676 - (0 + 10)?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 205*c**2 - 92*c + 1166. Give s(-103).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -5\/4 (c) -1.5 (d) 9 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 11*v**2 + 0 + 1\/60*v**5 + 0*v - v**3 - 1\/24*v**4. Determine h(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-10))\/((-1)\/(-5)). Suppose 2*d + 1 = o. What is the units digit of (-2)\/((d\/(-3))\/((-2)\/(-3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*j, -2*d + j + 10 = -4*d. Suppose 0 = 2*r - h - 407, 4*h = 2 + 2. Calculate the remainder when r\/8*d\/(-6) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/6, 2, -6443, 6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1833 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 268*s. Let z(t) = -23*t**2 - 11. Determine w(z(y)).\nAnswer: -6164*y**2 - 2948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o - 8 = 0. Suppose -o*j - 40 = 58. What are the prime factors of 2\/7 + (-1211)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/180 + y**5\/60 + y**3\/3 + 3*y**2. Let k(z) be the first derivative of x(z). What is the second derivative of k(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/14)\/((-4)\/56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. What is the lowest common multiple of (-8)\/60 - (-167)\/15 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/3 (b) 0.2 (c) -0.03 (d) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-2) + (-6)\/4. Sort 7, -2, z in ascending order.\nAnswer: z, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342 and 798.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -45 + 2 + 17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-16592)\/10370)\/(((-192)\/20)\/(-8))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -16\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d**2 + 3*d - 2. Let o be g(2). Let a be (o + 1)*3 - 0. Differentiate 1 - 3*w**3 + 4*w**3 + 3*w**a wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t - 1506945 = -15*t. Suppose -w + 370574 = t. Let m = -1273629 + w. What is m rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + s + 5 - 1)*(-5*s**2 + 7*s + 78 - 78) to the form a*s + r + j*s**3 + b*s**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 25*m**2 - 15*m + 4. Let j(a) = -12*a**2 + 7*a - 2. Determine 6*i(s) + 13*j(s).\nAnswer: -6*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 5735.\nAnswer: 5735.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 310507?\nAnswer: -310517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -133*x - 2788. Let r be q(-21). Solve 2*d - 9 = 11*n - 8*n, -4*n + r*d = 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a - 7*a - 11*a**3 + 5 + 25*a + 13*a**3 + 2*a**2 to the form c*a**2 + v + x*a + d*a**3 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 880 = 13*v. What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 6*t**2 - 9*t - 9. Calculate the remainder when 51 is divided by d(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let i be 13 - (1 + 1 + n). Suppose 0 = 3*g - i, 94 = 2*a + 4*g + g. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - 1220. Let z(v) = 6*v. Determine z(c(a)).\nAnswer: 24*a**2 - 7320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - p - 311*p**3 + 312*p**3 + 0*p to x + r*p**3 + h*p**2 + c*p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 451718 to the power of 1\/2, to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 7 - 31 = 0. Let y be ((-12)\/(3 + -2))\/((-16)\/o). Let q be 71000\/y*(-24)\/2. What is q rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/5, -167, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*v + 1088 = 0, -4*v + 272 = 2*n - n. Suppose 2*u + n = 912. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -1. Which is bigger: -10 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4941724, 19766893, 44475508, 79067569, 123543076, 177902029?\nAnswer: 242144428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 3*h**2 + 2*h + 1. Determine k(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 105 = 2*c - 7*c, -c = -4*o - 21. What is the third derivative of -n**5 - n**5 + 53*n**2 + 0*n**5 - 2*n**4 - c*n**2 wrt n?\nAnswer: -120*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -688 (b) 5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.87113 centimeters to micrometers.\nAnswer: 258711.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 5:58 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-54)\/15)\/((-9)\/900). Solve -p = -9*p - w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**3 - 38*j**2 - 6*j + 4. What is t(-7)?\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3516 divided by 4\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 12*m + 2878. Let n be w(48). Sort -4, n, 1, 3, -64 in decreasing order.\nAnswer: 3, 1, n, -4, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 3*w**2 - 2*w**2 + 35052*w + 2*w**2 - 35052*w.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s - 4*s**2 + 148*s**4 - 72*s**4 - 72*s**4 - 4*s**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p + 421. Let q be f(-51). What is the greatest common factor of 2249 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10000110111000100100011011001?\nAnswer: -10000110111000100100011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three fifths of a decade?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((28\/8)\/7)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 + 34*v + 43. Calculate f(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.506*1525\nAnswer: 771.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2 + 0 + c**2 - c - 3*c + 0. What are the prime factors of j(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 7:56 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3560325 and 8325.\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55526316 or -55526320?\nAnswer: -55526316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10554614 divided by -7.\nAnswer: 1507802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 199 + 8 = 24*l, -2*y - l - 4617 = -4615 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257*n - 60*n - 204*n + 1148*n to the form t + q*n and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 85 + 0*l**2 - 99 - 36*l + 4*l**2 - l**2. Let a be x(13). Solve -w = 4*w - a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -3, 0.\nAnswer: -3, 0, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a + a**3 + a + 7*a - 3 + 8*a**2. Let j be u(-8). Put -0.4, j, 1 in decreasing order.\nAnswer: 1, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-8 - (-848)\/56) + -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33691236671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*k = -372, h - 116 = -k - 4*k. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*u - 2*u**2 - 2*u + 7*u - 45*u**6 + 20*u wrt u.\nAnswer: -5400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19938217 to the power of 1\/2, to the nearest integer?\nAnswer: 4465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/4 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1385 by 2140.\nAnswer: 277\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -438, 1719, 4, 22 in descending order.\nAnswer: 1719, 22, 4, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z + 3. Let s be w(0). Let g be s\/((-42)\/(-2))*(-175)\/30. Which is the nearest to 2? (a) -3\/2 (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80020*d = -80188*d - 15624 for d.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 9814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*i + 52. Let u = 1237 - 1222. What is the remainder when i is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010733189 to six dps.\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14081224 (base 9) to base 3\nAnswer: -111002201020211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from {d: 1, x: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*f**4 + 22*f**2 - 7*f - 36824 wrt f.\nAnswer: -52*f**3 + 44*f - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-60)\/126 + 6\/(-14). Suppose -7 = -2*z - q. Suppose 2 = -4*b + 22. Solve b*i + z = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 56 = 5*d. Let w = -17 - d. Put 0, -2, w in decreasing order.\nAnswer: w, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 573 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1200?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 14*x. Let w(z) = 92*z + 4229. What is w(s(i))?\nAnswer: 1288*i + 4229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.89, -4, 2, -73, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792048 to the power of 1\/2, to the nearest integer?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(444*o + 4*o + 271*o) - 12*o + 46 - 26 - 21.\nAnswer: -731*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 3*a**4 - 3*a**4 + (1 + 0 - 3)*(-4*a**4 + 6*a**4 - a**4) + (2 - 2 - 5*a**3)*(-17*a + 22 - 17*a + 33*a).\nAnswer: 2*a**4 - 110*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/11)\/(l\/((l\/(l\/(l\/l**3)*l))\/l))*(l\/(l\/l**(2\/23)*l))\/l*l**(-2)*l*(l\/((l**(-2\/3)*l*l)\/l*l))\/l**(1\/8)*(l**(-1\/2)*l)**(-19) assuming l is positive.\nAnswer: l**(-107411\/6072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 279654584 times -3?\nAnswer: -838963752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 133*b - 128*b + 5*l, -3*b = 5*l - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/1067 and -64\/119795.\nAnswer: 1317745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15138340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 222.850821 to the nearest integer.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4996 - 10274 + 2*s - 6245.\nAnswer: 2*s - 21515","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*r**2 - 12*r**2 + 12*r**2 - 14*r - 57*r**2 - 2*r**3 wrt r.\nAnswer: -12*r - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 7. Suppose -b + j*b - 19 = 0. What is the second derivative of -b + 19 - d + 9*d**2 wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13496 - 11338. List the prime factors of x.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+6.001358298228\nAnswer: 9.001358298228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664329 is divided by 706?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w. Suppose -4*o + 2*o + 38 = w. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.5, 0.7, 3\/5 in descending order.\nAnswer: 0.7, 3\/5, 0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-8)\/(-8)). Let k = -716 + 720. Which is the third smallest value? (a) r (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24\/11? (a) -1\/4 (b) 1\/6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6452, -0.2, -1370?\nAnswer: -1370","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/4, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 20 = 5*o, 5*b - 2*o - 6 = 14. Let n(w) = 29*w - 4. Let m be n(b). Suppose z = -h + 27, 4*h - m = -4*z - h. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 258606*t - 3879315.\nAnswer: (t - 15)*(t + 258621)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/7 (b) -33 (c) 0.1 (d) -0.131 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 123556\/5423 + 9\/261?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6801788749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + 57 + (-106 - -27).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485 - 478 = 22*b - 897 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -7 - (-2 - -1). Let l = -24 + o. What is the lowest common multiple of ((-84)\/l)\/((-2)\/(-10)) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - 2*i**3 + 12*i**3 + 4*i**2 - 6*i**2 + 2*i to the form m*i**2 + w*i + t + z*i**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 + 13 = a, 10 = -2*h. Suppose -3 = -4*r + a. Let f = r - -2. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012672 rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2068 and 530992?\nAnswer: 24956624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/s)**(-4\/3)\/(s**(1\/2))**(-14) assuming s is positive.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3627 or -1932?\nAnswer: 2\/3627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -16*v**2 + 2*v + 1. Let z be t(-1). Let c = -2 - z. Suppose c*b + 38 = 16*b. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1252196 is divided by 3900.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*t - 30 = 0, 4 = 2*s + t + 10. Which is the closest to -1? (a) 2\/3 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007447 to six dps.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -71*c - 234. Suppose 4*f - 65 = 59. What is the remainder when d(-5) is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*l = -418*l + 128 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21496774*v - 8329934*v + 5848946*v.\nAnswer: -23977762*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 14*u + 4672 = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 57\/(-171) - 1\/(-3). Are -1\/525 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3775 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010168912736 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38774 + 5915. Let v = w - 62570. Let z = -8581 - v. Round z to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -264, -6174, -3, -4 in increasing order.\nAnswer: -6174, -264, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 10:02 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(6) - sqrt(8))*-1)\/(-4*sqrt(16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 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: Collect the terms in 475 - 1017 + 542 - 4*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 3, 0.35, 18425?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 v when four letters picked without replacement from {y: 9, v: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 25238144*l**2\/3 + 50476291*l\/3 + 25238146\/3.\nAnswer: -(l - 25238146)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2832 and -107\/2596.\nAnswer: 31152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = 155. Suppose 127*u - 680 = 3765. Let a = u + l. Solve 0*d = a*d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*y - 17 - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 27 - 36*a**2 - 3*a + 27.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/7 and 3*3\/(-1) - (34 - (-17257896)\/(-401364)).\nAnswer: 78043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4206 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 - 3. Let a = -1857\/8 + 231. Let w = a - -29\/8. Sort w, 0, n.\nAnswer: n, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198315.\nAnswer: 3, 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51510 is divided by 453?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122819449 is divided by 5848545.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u**2 - 3*u + 189. Give y(0).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -1. Let d = b + -6. Let t(a) = -2*a - 43. What is the remainder when d is divided by t(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58238705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 3, f: 1}. Give prob of sequence bu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/17 + 928*r**3\/17 + 15562*r**2\/17 - 97128*r\/17 + 80640\/17 = 0 for r.\nAnswer: -21, 1, 4, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1642769 to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 3*h + 2*h)*(-278*h**2 + 156*h**2 + 156*h**2)*(-2 + 1 + 3).\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 5354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1 - 3 + 2*j - 4*j + 3*j. Suppose -h - 10 = -3*h. Calculate the remainder when o(13) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 835 = -6*t + 805 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20 + -1 + (-9)\/9. What is the units digit of 0 + 4 + -1 + g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9338, 9343, 9360, 9395, 9454?\nAnswer: 9543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 34 + (108 - 177)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12664*w**3 + 18109*w**2 wrt w?\nAnswer: -75984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-u + 3*u + 0*u)*(4 - 2 - 4) + (4 - 2 + 0)*(0 + 0 - 2*u) + 0 + 0 + 2*u + 27*u - 362 + 362)*(-5*u + 4*u - 19*u) to n*u + q*u**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -41. What is the smallest common multiple of c and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2975589716 and 2596?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3960 divided by -180\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 1860?\nAnswer: 1860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 23.5. Let h = 23.1 - z. Is -5 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -8, -d - c + 31 = 13. Let v = d + -12. Let w(f) = 6*f - 4. Let h be w(v). What is the greatest common factor of 60 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2*r*r*r*r)\/r)**(-31)*r*r*(r*r**(-2\/13)*r)\/r*r**0\/r assuming r is positive.\nAnswer: r**(-2394\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6691964?\nAnswer: 2, 661, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Let d = l + -1. Suppose 7*y - 3*y - 28 = d. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*3\/(-12)*8\/(-54)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-1)*(-11)\/(-165)*-12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1459\/4 - 15871\/44. Calculate the common denominator of -50\/11 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 7, p: 1}. What is prob of sequence bp?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(23\/5)\/(k*k\/k**(4\/3)*k*k)*k**(3\/16)\/((k**(2\/9)\/k)\/k*k) assuming k is positive.\nAnswer: k**(2087\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:07 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -0.099, -28, -3?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4*b = 23, 13*l - 18*l = 5*b + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-7\/2)\/x*x**(-1\/8) assuming x is positive.\nAnswer: x**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*v = 36*v + 1062. Calculate the least common multiple of v and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.80199891 + -0.26.\nAnswer: 4.54199891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*u - 18 = -w, 2*w + 11 = u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132702250 to the nearest integer?\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - 1312?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 374148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 25*c**2 - 90*c + 47*c + 69*c**2 + 39*c.\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -829275, -829263, -829243, -829215, -829179, -829135, -829083?\nAnswer: -829023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b = 12. Let g(m) = -143 - 85*m + 141 + 88*m. Let c(y) = -9*y + 5. Give b*c(j) - 11*g(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9663094 kilometers in micrometers?\nAnswer: 966309400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14181127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 71*m + 63. Let z be j(15). Let o = 44835 - 505577\/11. Let v = z + o. Find the common denominator of v and 3\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + 7479 = -251*u - 119 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**4\/4 + 2*q**3\/3 - 2*q + 32. Let y(b) = -b**2 + b + 1. What is -u(g) - 2*y(g)?\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232 and 228056?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -619104864 and -619104865 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*s - 120 = 0, 2 = -5*s + 12. Let t = 8869 - 61651\/7. Let h = t + u. Sort -0.5, h, 4, 4\/3.\nAnswer: -0.5, h, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/9 + 3340*o**2\/3 + 2093344*o\/3 + 6270016\/9.\nAnswer: 4*(o + 1)*(o + 1252)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -651638, -1303265, -1954892?\n\"Answer: -651627*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 705*4\nAnswer: 2820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17538*a**3 + 9 - 9.\nAnswer: -17538*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -29, -264, -11 in decreasing order.\nAnswer: 2, -1, -11, -29, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7690015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (19 + -36) - -6.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kknnknnnknnk.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 41. Suppose 11 = 2*l - t. What is the second derivative of -10*v**4 + l*v + 3*v**5 + 10*v**4 wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62351138 and 1139.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + u**2 - u. Suppose 4*f = 4*q + 60, -2*f - 7 = 3*q - 27. Suppose f*r - 24 = 19*r. Let d(w) = 3*w**3 + 4*w**2 - 3*w. What is r*a(n) + d(n)?\nAnswer: -n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 212081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**4\/4 - 3*l**3 + 3*l**2\/2 - 6*l + 13. Calculate a(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -16929?\nAnswer: -2\/16929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26\/11, 5\/3, -5, 2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-2)*((-60)\/20)\/(-12*(-84)\/48)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/4 - (283 + -264). What is the third biggest value in 47, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-1\/5)*t**(-15)*t*t*t**(-2\/41) assuming t is positive.\nAnswer: t**(-2716\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 3*v**3 - 2*v**3)*(7 - 42 + 85) + (-2*v + 3*v - 3*v)*(6 - 6 + 4*v**2).\nAnswer: 92*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {a: 6, j: 3, u: 2, z: 3, l: 2}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x - 35*x = 0. Suppose 7*d = -x*d + 16051. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.7223 to zero dps.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*x - 48. Suppose x*o - 53*o = 25130000. What is o rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -42 + 31 - (1 - -1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 9*u - 4. Let w be h(4). Suppose -5*a + 14 = b, 2*b + 4*a - 4 = -w*a. Sort -5, b, 1 in increasing order.\nAnswer: b, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y**3 - 10*y**2 + 3*y + 3. Let g(t) = 38*t**3 + 29*t**2 - 8*t - 8. What is -3*g(p) - 8*m(p)?\nAnswer: -10*p**3 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (38\/(-8))\/(14\/(-56)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1877*q = -1896*q + 589 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/(6\/(-16)). Let z be (1\/(-2))\/(1\/r). Suppose z*g - 3843 = -1103. What is g rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**3 + v**2 + 36*v - 36. Let f be o(1). Let d(z) = 1. Suppose 7 = -m - 2*s, -5*m = -s - s - 13. Let l(b) = -2*b + 7. What is f*d(w) + m*l(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 5*r**2 + 22*r + 63. Calculate the least common multiple of b(-4) and 68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(90)\/(sqrt(18)\/sqrt(2))) + -4.\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 937621583\/1020 + -919237. What is the common denominator of l and 73\/90?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 0.07 (c) 1 (d) 833\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 2*b**2 - 4*b + 5. Suppose -j + 4 = 1. Calculate k(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.16 - -0.34. Let y = 0.2 - s. Which is the third biggest value? (a) -0.4 (b) -0.2 (c) y (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 1379714*i + 1379715.\nAnswer: -(i - 1379715)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 + 115 - 53 - 121*n in the form w*n + s and give w.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10 - ((-23)\/(-5) + -5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 60 = 3*j. Suppose t + 2 = j. What is the greatest common divisor of t and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/5, -8, -1, -53, -0.3, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -379, 4, 569 in descending order.\nAnswer: 569, 4, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 5*i**2 - i - 2. Let s be y(-3). Let w(k) = 12*k**2 - 14*k - 4. What is the tens digit of w(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*c**2 - 16*c**2 - 2*c + 99*c**2.\nAnswer: -3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (-24 + 9 - -26)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 35 = -3*i - 2*i, -10 = -i + 2*x. Suppose -4*u + 997 = g, 5051 = g + i*g - 2*u. Suppose -4*p - g = -5613. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 3 + 6 + 0. Let n be ((-12)\/h)\/((-4)\/(-414)). Let y = -11183\/72 - n. What is the common denominator of y and 7\/20?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 0\/((-6)\/(-2)). Let g(s) = -y*s**2 + s - s. Let c(t) = -2*t. What is c(g(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 14) to base 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 230.36 - 12.56. Let d = -168 + r. What is d rounded to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 9:38 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 159 + 42 = 51*t. Let n(f) be the first derivative of -20 + 1\/6*f**4 + 2\/3*f**t + 2\/3*f**2 + 0*f. Factor n(l).\nAnswer: 2*l*(l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6303 divide 3483156964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.57766m to centimeters.\nAnswer: 57.766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57249123 to the nearest integer?\nAnswer: 7566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -32133 (base 4) in base 11?\nAnswer: -773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.203119 - -0.2044. Round n to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o + 1. Let j(k) = 7*k. Give 4*j(m) - 3*l(m).\nAnswer: 7*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5}. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14245511 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1213243041 (base 5) to base 12\nAnswer: -b64035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8538, -17061, -25584, -34107, -42630?\n\"Answer: -8523*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t + 53. What is the remainder when 124 is divided by a(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 8*c - 6*c = 17162, 0 = -5*j + 3*c + 21436. Solve 2*n - j = -4305 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + (sqrt(2057) - 2*sqrt(2057)) + -1 + ((-1 + sqrt(2057))*5)**2)*-2.\nAnswer: -102890 + 1122*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**2 - 3425 + 1709 + 1716.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 731*36 - (61\/8 + 276\/736)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -247\/4*i - 35\/2 - 7\/4*i**2.\nAnswer: -(i + 35)*(7*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + 3*o**2 + 2*o + 4. Let z(b) = -b**2 + 8*b + 6. Let y be ((5 - 6)\/3)\/((-2)\/(-6)). Let j be z(y). Determine a(j).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 10*l**2 - l. Let y be m(-10). Let p = -5 + y. Suppose 194 = p*a + 2*h, -h = 3*a - 2*h - 123. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.910944 hours in seconds?\nAnswer: 35679.3984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*t**2 + t + 6*t**2 - 24560 + 5*t**3 - t**3 + 24561 in the form s*t**3 + g*t**2 + j*t + f and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k*n**2*t**3 - 2*k*n**2 - 36*k*t**4 - 12*k*t**2 + n**2*t**2 - 2*n*t**4 wrt t?\nAnswer: -12*k*n**2 - 864*k*t - 48*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 7, t: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*t - 3*g, 2*t - 21 = -2*g - 3*g. Suppose 11 = t*s - 19*s. Let q(j) = 6*j**3 - 5*j + 5. Let y(x) = -x**3 + x - 1. Give s*q(b) - 5*y(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -519 - -448. Which is the nearest to -1? (a) 3 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 + -68. Let z(d) = d**3 - 5*d**2 + 3*d. Let c be z(v). Let r be (-356)\/18 + (-28)\/126. Sort 1, r, c, -5 in descending order.\nAnswer: 1, c, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 7*t**4\/4 + 2*t**3 + t**2 - 7*t + 46. Let p(h) = -13*h**3 - 11*h**2 - 4*h + 13. Give 11*d(l) + 6*p(l).\nAnswer: -l**3 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r. Let p(y) = 1779172983*y**2. Calculate m(p(t)).\nAnswer: 3558345966*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1726 - 3*s + 1726 + 0*s + 4*s + 238*s**2 to k*s**2 + l*s + j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/15)\/((-11)\/110)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 594264, 594306, 594362, 594438, 594540, 594674, 594846, 595062?\n\"Answer: w**3 + w**2 + 32*w + 594230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 1. Let n be l(1). Is 2\/35 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 + 37 = 30*k - 84 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a. Let n(z) be the first derivative of 2659*z**3\/3 - 4809. Determine n(f(y)).\nAnswer: 42544*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 11:04 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96a (base 14) to base 5.\nAnswer: 24413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 + 4*k**3 - k**3 - 7*k**3 + 5 + 6*k**2 + k - 15. What is the remainder when 135 is divided by z(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 + 26*s**2 - 63*s + 3. Let d(p) = 3*p**3 + 24*p**2 - 62*p + 2. Let g(y) = 3*d(y) - 2*z(y). Find m, given that g(m) = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (2 + 1)*1)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 151*i**3 - i**2 + 2*i - 1. Suppose 0 = -2*r + 5*r - 3. List the prime factors of b(r).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 27, -9050, -0.2?\nAnswer: -9050","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 7*d + 5. Let v be i(-3). Suppose -v*y + 1780 = -5*z, -24 + 4 = 5*z. Calculate the greatest common divisor of 80 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (3 - 2))\/(-2). Let f be (0\/(-6 + 3))\/(-2). Suppose -117*p + 165 = -62*p. Solve f = n - s*n + p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142873611.\nAnswer: 3, 157, 303341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/251, -2\/5, 2\/29, 31, -0.1 in increasing order.\nAnswer: -2\/5, -0.1, -6\/251, 2\/29, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 30, 71, 138, 237, 374, 555, 786?\nAnswer: 1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0 - 47 + 3 - 52 + (1 + 0 - 3)*(1 - 1 + 2) - 1 + 1 - 2)*(5 - 5 - 3*c**3).\nAnswer: 315*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19210 and 39200?\nAnswer: 75303200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-30) + 2*6\/(-30). Factor 2\/5*b**3 + 2\/5*b + c - 4\/5*b**2.\nAnswer: 2*b*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, -764 in decreasing order.\nAnswer: -0.2, -3, -764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x*x**(1\/4))\/x)\/x))**(-3\/23))**(-1\/44) assuming x is positive.\nAnswer: x**(21\/4048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 92, 140, 204?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2488973ml?\nAnswer: 0.0002488973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -12. Sort u, 2, 5.\nAnswer: 2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = 4*x. Does 7 divide ((-65)\/x)\/(-5)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + s**2 - s - 7. Let y be t(0). Suppose 2*h + d = 4*d + 45, 124 = 5*h + 4*d. Let c = h + y. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 21 = -30*z + 19*z. Solve -5*r - 3*t = -2, 0 = -r - z*t + 3*t - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 6. Is (-17)\/(-2)*(b + (-2 - -5)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(363))**2.\nAnswer: 13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 0*d - 1\/24*d**4 + 7 - 1\/3*d**3 + 5\/2*d**2. Let n(a) be the second derivative of c(a). Calculate n(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/3, -22, 5, -4\/17, 77, 7 in ascending order.\nAnswer: -22, -5, -1\/3, -4\/17, 5, 7, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120556.\nAnswer: 2, 30139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**3 + 0*g**3 + 8*g**3 + 169)*(g**2 - 2*g**2 - g**2 + 3*g - 3*g**2 - 3*g + (4*g**2 - 5*g**2 + 5*g**2)*(2 - 1 + 1)).\nAnswer: -6*g**5 + 507*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - f = 31, -11*d + 5*f - 6*f + 608 = -78*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410722 is divided by 175.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 5*y**3\/3 - 161*y**2\/2 + 4*y + 7. Let k = 2 + 4. What is the remainder when d(19) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 925 - 925 + q**2 - 7*q**3 - 9*q**3 wrt q.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - ((sqrt(3) + sqrt(108)*-3)**2 - sqrt(3))) + 4.\nAnswer: -863 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9022709 to the power of 1\/2, to the nearest integer?\nAnswer: 3004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/583 - -44907\/9328. Find the common denominator of 65\/68 and b.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 5*d**6\/6 - d**2\/2 - 4. What is the second derivative of m(o) wrt o?\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, 3, 7, 5, -18, -5 in decreasing order.\nAnswer: 157, 7, 5, 3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1*4\/(1 + 0). Let q be 2 + 1\/(-1 + 0). Let t = c - q. Calculate the highest common divisor of 33 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 3:34 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81\/(-27) - (0 + 1)*-78 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*12*(-45)\/(-3)*34\/(-408).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. What is the second derivative of -3*v + 3*v - 4*v - 2*v**m - v**2 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 - 339*m**3 + 7131*m**2 + 7467*m = 0. What is m?\nAnswer: -131, -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100221200000 (base 3) to base 5.\nAnswer: 22231413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1402755, 3.\nAnswer: -1402755, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 42. Let o = 77 + p. Suppose 2*b = q - 86, 2*q + o*b = 9*b + 174. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(612))*5 + (-4*sqrt(612)*1)**2)*1.\nAnswer: 30*sqrt(17) + 9787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.4 - 2.5. Let m = 121 + -110.4. Let u = k + m. Round u to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 + -151. Let h be 3\/(-3)*(3 + 1). Which is smaller: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12ab35 (base 15) to base 9.\nAnswer: 1616275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71*f*o**3*w - 19*f*o*w + 20*f*w + 2*o**3*w + 26202*o**2*w - 3*o**2 - 2*o*w wrt f?\nAnswer: 71*o**3*w - 19*o*w + 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*p - 16. Let s = -1 - p. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9425089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from {q: 5, d: 7}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89144, -96572, -104000, -111428?\nAnswer: -118856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.84586 times 0.5?\nAnswer: -2.42293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 1. Let j be s(1). Let r be (4*4\/1280)\/((-6)\/(-45)). Which is bigger: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -36 + 58 - 5*u**2 - 22. Let k(w) = w**2 + 5. What is b(k(l))?\nAnswer: -5*l**4 - 50*l**2 - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -9. Let g be (y - 0) + 0 + 1. Suppose -g*h + 66 = h. What is the smallest common multiple of 16 and h?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 times -3173?\nAnswer: -1224778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2807 (base 15) to base 4\nAnswer: 2011231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - -0.1. Let h = l + -4.8. Let o be 4\/(-3)*2\/(-8). Which is the nearest to 0? (a) h (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-24) + (-54648)\/1620)*(-10)\/35?\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 + 0.35689.\nAnswer: -60.64311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-one halves of a century?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 3133?\nAnswer: -3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2. Let b(p) = 18*p**2. Determine b(s(f)).\nAnswer: 162*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - j - 2, -4*p + 2*p = -j + 4. Let z(k) = k**2 + 2*k. Let o be z(p). Suppose -5*i + 2 + 18 = o. Calculate the remainder when 10 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, u: 4, h: 3, v: 1, y: 1}. Give prob of sequence uuss.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, 2, -3 in decreasing order.\nAnswer: 136, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2 - 5 - -4) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -l - 2*p + 16, 0 = 5*l - 2*p + 28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 205.2661 - 202.99. What is r rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0 (b) 2 (c) 4\/9 (d) 2.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5185, 10321, 15457?\nAnswer: 20593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -12*r + 25. Let i(s) = 10*s - 21. Give 2*g(u) + 3*i(u).\nAnswer: 6*u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3701 + 3765 = 0 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a8975 (base 13) in base 16?\nAnswer: 4a6a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 22*n + 13. Suppose 23*q + 33*q = 5*q - 153. Calculate v(q).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -18275*b + 18276. Give o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1587 divided by 3?\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*o**4 + 18*o**4 + 51*o**4 + (-o**2 + 3 - 3)*(2 - 2 - o**2) + 0*o**3 + 0*o**3 + 2*o**4 + (-10*o - 3*o**3 + 10*o)*(0*o - 2*o + 4*o).\nAnswer: 52*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -236 divided by -4?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 12*i + 10. Calculate n(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -8*p + 23. Factor -6*l**4 + 60*l**2 + 3*l**4 + 30*l**3 + 40*l + p*l**4 + 3*l**4.\nAnswer: 5*l*(l + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - (sqrt(78) - (sqrt(78) - (sqrt(78)*2 - sqrt(78))))*1) + sqrt(78))\/(3*sqrt(48)\/sqrt(8)))**2*4.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 14, n: 5}. Give prob of picking 3 n.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 426003 - -300?\nAnswer: 426303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 49 = 23. Let z = -10.8 - -10. Let y = z - -0.7. Sort 1\/4, p, y in decreasing order.\nAnswer: 1\/4, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126672*p**2 - 299378*p**2 + 17052*p**2 - 347427*p**2 - 368*p**2.\nAnswer: -756793*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -854090 - 1?\nAnswer: -854091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h = -25*h + 103*h + 7737 - 669 for h.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdgzigigszgzgidizg. What is prob of picking 2 z?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*x + 3 + (-4*x + 5*x + 0*x)*(-2 + 2 - 1) + 9*x - 57 + 57.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178.5 - 178. Sort -1\/5, 0.04, s, 2.\nAnswer: -1\/5, 0.04, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(-1)\/6*(-24)\/20. Solve t = -h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50266799*s**3 - 4*s**2 - 3817196*s + 27?\nAnswer: 301600794*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 17*v**2 - 11*v + 20. Let h be n(16). Let p be (-1)\/3 + (3 - h\/(-6)). Let z = -2 - p. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227095, -454187, -681279, -908371, -1135463?\nAnswer: -1362555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20798 divided by -6.\nAnswer: 10399\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/248 and 29\/216.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -17, -23, -19, 1, 43, 113?\n\"Answer: k**3 - 4*k**2 - 5*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, l: 8, b: 2}. What is prob of picking 2 b and 1 l?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, 1 p, and 1 z when four letters picked without replacement from {a: 2, z: 1, j: 4, r: 1, p: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 787834 - 1290679. Let x = -14072997\/28 - q. Let t = x + -1790\/7. Calculate the common denominator of t and -2\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**2 - 40766160*v - 9*v**2 + 40766502*v)*(-2*v**2 - v**2 + 5*v**2) to i*v + x*v**3 + z*v**4 + s*v**2 + a and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -13*a**3 - a**2 + a + 1. Let p(n) = -n**2 - 2*n + 7. Let c be (-9)\/(-6) + 4\/8. Let y be p(c). Give w(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(((-8)\/(-3))\/4). Let j = 5 - 9. Let v be 0 - (2\/2)\/(-2). What is the closest to v in j, 2\/7, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5688 is divided by 5068.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/4535, 6\/19, 3\/7, -0.3, 26 in descending order.\nAnswer: 26, 3\/7, 6\/19, 2\/4535, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*j + j. Suppose -4*a + 20 = -5*d, 7*a = j*a + 5*d + 20. List the prime factors of (3 - a)\/(3\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m. Let f(c) = 3749946*c. What is p(f(h))?\nAnswer: 18749730*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86296, 86385, 86478, 86581, 86700?\nAnswer: 86841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266.00001012 - 266. Round f to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/66 and -103\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 14) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-1\/4)*q*q*q))\/(q\/(q**5\/q)))\/(q**(-2\/33)*q**(-24)\/q) assuming q is positive.\nAnswer: q**(3473\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13))**(-4\/23)\/((k**(2\/9)*k)\/((k\/k**(-31))\/k*k)) assuming k is positive.\nAnswer: k**(6839\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4025, 8086, 12147?\nAnswer: 16208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - g + 13 = 0, 3*j + 59 = -6*g + 137 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4.0000003. What is q rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1741106515 to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.41, -5\/7, 2, -3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + q - 2. Let m(f) = -5*f**2 - 3*f - 6. Let w(g) = 4*b(g) - m(g). Factor w(a).\nAnswer: (a + 1)*(9*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/8*(-15 + 2120\/140)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -332\/5. Let l = 85.1 + 1.9. Let q = 84 - l. What is the closest to c in q, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 + 1856*l**2 + 51821*l\/2 + 90601.\nAnswer: (l + 7)**2*(l + 3698)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397474046?\nAnswer: 2, 71, 2799113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -835, 1, 5, -4 in increasing order.\nAnswer: -835, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a6 - -bc610?\nAnswer: bbd48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**3\/6 + 3*w**2\/2 + 23*w. Calculate k(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20459175.\nAnswer: 3, 5, 11, 24799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 25\nAnswer: 33\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 4. Let z be s(0). Let p = 7 - z. Suppose -2*w = -p*r + 1259992, 2099996 = 5*r + 2*w - 3*w. What is r rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*s + 2*s + 4*s)*(-2*s + 4 - 4) + 4*s**2 - 3*s**2 - 3*s**2 + s - s - s**2 + s**2 - s**2 + s**2 + 2*s**2 + s**2 - 2*s**2)*(-6*s + 8*s**2 + 6*s).\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 267505?\nAnswer: 1605030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**3\/3 - 17105*l**2\/3 + 296286640*l\/3 - 204426265280 = 0.\nAnswer: -10317, 3448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.408 - 1.208. What is the closest to v in 1, 2\/5, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 12 = 3*j. Let g = 90 - 81. Calculate the remainder when g is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -643 - -968. Let o be 1\/(a\/(-165) - -2). Let r = o + 15. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(4 + -3) + 2. Suppose 3*t = 5*v - 4*v, -x*t + 28 = 4*v. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**5 + 235*s**4 - 2875*s**3 + 2825*s**2 + 26280*s - 44460 = 0.\nAnswer: -3, 2, 3, 19, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -642, 54, -2.\nAnswer: -642, -4, -2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/12092125 and -88\/105.\nAnswer: 253934625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*q - 24, -2*x + 3*x - 21 = -4*q. Let c = -89.5 - -90. Let l(m) = m**3 - 6*m**2 - 2. Let i be l(6). Sort x, c, i.\nAnswer: i, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702 + 582 - 29 = 251*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*(1 - (-16)\/(-4)). Let y be ((-93)\/18 + 5)*z. Which is the closest to y? (a) 3 (b) -0.2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/3 + 96*l + 20375\/3 = 0. What is l?\nAnswer: -163, -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - -0.01. Let n be 4\/(-7)*(44\/(-8) - -5). Put v, 0, n in ascending order.\nAnswer: 0, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4765420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**4 + 12425*c**3 + 74335*c**2 - 87065*c - 743700 = 0.\nAnswer: -2479, -5, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 divided by -6?\nAnswer: 97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*b + 6. Let f = b + -2. Find the second derivative of -f*u - 4*u + u**5 + 4*u wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 13*l + 16. Calculate b(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (188*a**2 - 73*a**2 + 238*a**2)*(6 - 34 - 29 + 9).\nAnswer: -16944*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 106?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6757 is divided by 115.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6696 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -128*r**6\/15 - 11*r**4\/12 + 3*r**2 - 23*r + 7. What is the third derivative of f(q) wrt q?\nAnswer: -6144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 22*w**3 + 6*w + 1. Let b(p) = 22*p**3 + 8*p. Let k(q) = -3*b(q) + 4*i(q). Let x(t) = 111*t**3 + 21. What is 21*k(f) - 4*x(f)?\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5 - -11) + -1)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1543 or -841?\nAnswer: -1543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111 (base 2) in base 14?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -153.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55834 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1730456 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4, 7.6, -3, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 244964 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 271575 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 3*l + 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1116947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 2*r**2 - 10410*r**3 + 5203*r**3 + 5209*r**3.\nAnswer: 2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmmrrkjkkkrkm. What is prob of sequence rr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 5491 = 3*q - 17*i, -q + 4*i + 1835 = 0. Suppose -12*x + 3*x = -q. List the prime factors of x.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.7 + 0.7. Suppose -1536 + 1416 = 24*g. Which is the fourth biggest value? (a) g (b) 3 (c) 1\/2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/22*-4*(-462)\/(-2184)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-78575)\/(-20))\/35)\/(2\/1784) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 223*o - 672. What is c(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((8*y + 3 - 3)*(-3 + 10 + 8) + y - 2*y - y)*(-2*y**2 + 2*y**2 - y**2) to w*y + h*y**2 + a*y**3 + f and give a.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58, -63, -70, -79, -90, -103, -118?\n\"Answer: -d**2 - 2*d - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1548*c**2*x**3 - 2*c**2*x + 2*c*x**3 - 2*c*x**2 + 3*c*x + x**3 + 920*x**2 wrt x.\nAnswer: -9288*c**2 + 12*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**3*y)**(-48)*(y*y**(-4)*y)**(22\/7) assuming y is positive.\nAnswer: y**(-1724\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-234))\/((-5)\/(-2)*1\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 57. Suppose -40 = 2*k - 3*j, -3*k + 5*j = -1052 + 1110. Determine s(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**29*d))\/((d\/d**(-25))\/d)*d**(11\/4)\/d**5 assuming d is positive.\nAnswer: d**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 366564192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(-3*sqrt(2)))\/(-3*sqrt(8)))**2.\nAnswer: 19\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209) + (sqrt(209) - (sqrt(209) - (sqrt(209) + sqrt(209)*-2 + sqrt(209)))))*-6)\/(sqrt(275)*5).\nAnswer: -12*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b + 232. Suppose 5*h - 4*p = -0*h + 86, 3*h - b = 4*p. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) - 2*sqrt(264))\/sqrt(11))\/sqrt(12).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + sqrt(360)*-3 + sqrt(360))\/sqrt(6)*4)\/(5*(sqrt(12) + ((sqrt(12) - sqrt(12)*3) + sqrt(12))*-4)) + 3.\nAnswer: -4*sqrt(5)\/25 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 31, 4.59, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26912 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1666231 - -69?\nAnswer: 1666300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*z + 25. Suppose 11*g = 1811 - 1602. Let n(o) = o**3 - 19*o**2 + 4*o - 57. What is the remainder when n(g) is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**3 - i**2 + 9*i - 13. Let k be h(2). Suppose -35*g + 32*g = -4*s + 35, 2*g + k = 3*s. Solve s*n - 16 = 9*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-860)\/(-3) + (-65)\/(-195). Let z = i + -25. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9584 divided by 413?\nAnswer: -9584\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 9:08 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122.17 - 123. Let u = y - -75.73. Let g = u - 78. What is g rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -147795175, -295590353, -443385531, -591180709, -738975887, -886771065?\n\"Answer: -147795178*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 46093.0288 and -2.8?\nAnswer: 46095.8288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.59 + -0.29. Let k = 0 - -0.1. Which is the closest to k? (a) o (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 156?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -745 + 895. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.811, 3, -19, -1\/164?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 7*n**3\/3 - 142*n**2 + 1349*n - 1. What is p(20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175622282 divided by 19.\nAnswer: 9243278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 10*m = 165. What is the highest common divisor of m and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.61 - -9.61. Sort -0.1, 5, l.\nAnswer: -0.1, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 17 = 1. Let o = y - -21. Solve -x - o = 0, 6*f - f + 22 = x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3528 = 4*y - 3497, 114*z - 1279 = 5*y for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 20 + 7)*(19*p - 34*p - 6*p) - 1 - 2*p + 1 + 0*p + 2*p - 3*p + (-p - 2*p + 5*p)*(-3 + 5 + 0) - p + 2*p - 3*p.\nAnswer: 587*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-18)\/180)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2484 * 0.5.\nAnswer: -0.1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:35 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, s: 4, f: 1, g: 5}. Give prob of sequence hg.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310081057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 94 = 11*x, 58 = -2*b + 2*x + 94 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {t: 1, v: 1, p: 2, d: 4, g: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9327812 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/13))\/(u**(-3\/7)\/u*u) assuming u is positive.\nAnswer: u**(144\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**4 + 9*l**2 - 9*l + 32. Let c(v) = -v**4 + 2*v**2 - 2*v + 8. Let j(u) = 9*c(u) - 2*f(u). What is the derivative of j(z) wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3564703*r*v - 14213*v - 34 wrt r?\nAnswer: -3564703*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 647*q + 645*q = 1291*q + 54, 2*h + 3*q = -38 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.4 (c) 5 (d) 0.03 (e) 0.025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -979 - -11765\/12. Let h = 211 + -136. What is the common denominator of (-30)\/h - 81\/(-40) and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 5 (c) -146751\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4340*x**3 + 83*x**2 + 4?\nAnswer: -26040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*n**3 + 657 + 14*n + 66*n**3 - 664 - n**2 to z*n**2 + d + y*n**3 + i*n and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 200, 389, 700, 1133, 1688, 2365?\n\"Answer: 61*c**2 + 6*c + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6981\/4 - -2581. Let r(u) = -12*u**3 + 4*u**2 - 2*u + 3. Let m be r(-4). Let s = m - k. Find the common denominator of -119\/6 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j, 3*j - 10 = 332*x - 331*x. Let i be (-4)\/10 + 74\/10. Suppose i + x = u. Which is smaller: 13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -95*b**9\/63 + b**8\/336 + 349*b**5\/12 - 1751*b**2. Find the third derivative of j(x) wrt x.\nAnswer: -91200*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*(-1 - (-1 - -3)). Let w = 2 + -4. Let s = o + w. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8709 + 34831\/4. Which is the smallest value? (a) -1\/3 (b) 7\/6 (c) -12\/7 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486 is divided by 490.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -10*z - 69. Let l = 21 - z. Let i(r) = -r**3 - r**2 + 5*r + 6. Let j be i(l). Solve -3*s + 15 = -j*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0*k + 4. Let r(g) = g**2 - 19*g + 3. Let l be r(16). Let j be (1*4)\/((-30)\/l). Solve -k*y - s - 25 = 0, 0 = -j*y + y + 4*s - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -433355 and -40.3?\nAnswer: 17464206.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -35*i + 2. Let t(u) = -141*u + 9. Give -2*t(m) + 9*v(m).\nAnswer: -33*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2771*b**4*q + 268*b**3*q**2 - 261*b**2*q**2 - 5797*b*q**2 wrt b?\nAnswer: -66504*b*q + 1608*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 9*f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -179?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 - 243*b**2 - 28026*b - 158760 = 0. Calculate b.\nAnswer: -60, -6, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/47)\/(w*w**(-25)) assuming w is positive.\nAnswer: w**(1126\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1423759 is divided by 95.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*s**4)*(-2*s - 3 + 3) + 2*s**5 + 2*s**5 + 2*s**5 + 2 + 701*s**4 - 30*s**5 - 701*s**4.\nAnswer: -20*s**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/(1\/30). Let z(g) be the third derivative of g**4\/24 + 31*g**3\/6 - 5*g**2. Let y be z(-16). Is y at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -63. Let g = 31 + k. Calculate the remainder when 27 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 + 5*h)*((-8 - h + 8)*(2 - 2 - 2) - 2*h + 2*h + 2*h) to p + y*h**2 + w*h and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 768.5195nm in micrometers?\nAnswer: 0.7685195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9 = -4*k + 14, -6 = -2*y. Let u(j) = -18*j - 2. Give u(k).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 41 = 2*x, 5*w - 9 = 2*w. Find the first derivative of 13*z**3 + 17 + x - 75 + 7 wrt z.\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 238, 1, 17, -3, -12 in ascending order.\nAnswer: -12, -3, 1, 17, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 22*l + 108. Determine w(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 52*z**3 + 5*z**2 + 4*z - 6. Let f(r) = -r**3 + r**2 + r - 1. Determine 6*f(w) - u(w).\nAnswer: -58*w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 4*b**2 - 4*b + 2. Suppose -6*n - 20 = -n. Let j be o(n). What is the units digit of ((-2)\/(-3))\/(6\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 5*n + 6 + 7, -4*n = 2*p + 8. Solve -5*f = -5, 2*k - f = k - p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 0 - 59)*(35*r - 43*r - 40*r).\nAnswer: 4368*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 704 = -173*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-68) - 359\/(-17). Suppose j - f = -5*n + 2*j, 0 = 4*n - 4*j - 4. Suppose 0 = -n*i - 4*k + 1585, -5*i - 3*k + 402 = -1188. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 bigger than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -732 - -732.1. Which is the closest to s? (a) -3 (b) 10 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100111100010010101 + -100?\nAnswer: 1010100111100010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 - 1435*m + 171503. Give n(233).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -1 + 0*u**2 + 1\/2*u**4 + 0*u - u**3. What is the third derivative of y(o) wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 47. Let w(h) = 48*h**2 + 8*h - 12. Let m be w(2). Let j(l) = -m*l + 394*l - 195*l. Calculate j(o(f)).\nAnswer: 3*f**2 + 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -63. Let j = d - -131. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i + 23*i - 7*i - 10*i. Let b(s) = -12*s**2. Determine t(b(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172311 is divided by 1071.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfkkbefbseufkfkbfuf. What is prob of sequence ek?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11826.47 decades to millennia.\nAnswer: 118.2647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2876 = -y, -4*k - 4*y = -y - 2314. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 4*i**2 + 7*i - 5. Let c be k(5). Suppose -2*y - c = -21. Let a(w) = 7*w + 5. What is the units digit of a(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24518668 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/512371 and 5\/22277.\nAnswer: 512371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 2*f)*(16 + 12 - 37).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*1\/(-2) - 1. Let t(h) = h**2 + h + 1. Let m be t(y). Let d = -214 + 209. Which is the nearest to 3? (a) d (b) -0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 102, 128, 156, 186, 218?\n\"Answer: k**2 + 23*k + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (139 + 1828 + 2584 - 312)*(4*u**3 - u**3 - u**3) to f + j*u + m*u**3 + l*u**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 77549 and -3.018.\nAnswer: -234042.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 18*n - 1. Let c be r(11). List the prime factors of -2 + (-3 - -7) - -1*c.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/81, 1\/12, 2, -1\/3, -3 in decreasing order.\nAnswer: 2, 1\/12, 2\/81, -1\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/21))\/(j*j*j**(-1\/4)))\/(j**(-1\/4))**(-31)*(j**(-1)\/j)**(-1\/44)\/(j\/(j*j\/((j\/j**(1\/3))\/j))*j)**27 assuming j is positive.\nAnswer: j**(148\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*2)**2 + sqrt(13) + 3 + 5 + 0)*4 + ((-2 + sqrt(13))*-2 + (sqrt(1872) - sqrt(13))**2)*-1.\nAnswer: -1337 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5995, 5993, 5991, 5989, 5987, 5985?\nAnswer: 5983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 7 = -t, 2*d + 3*t + 3 = d. Let s be 21 - d*9\/27. Calculate the highest common factor of s and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3423132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*r**2 - 8*r**2 + 8*r + 92 - 13*r**2 + 29*r**2 wrt r?\nAnswer: -12*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1273705*g = 1274796*g + 70915 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25272.014 + -25303. Let b = t + 31. Round b to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42147311 + -4?\nAnswer: 42147305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/5*(-9 - 16\/(-4)). Suppose -n*w - 3*w = -24. Let -2\/9*x**w + 4\/9*x + 0 = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*t**3 + 29*t**3 + 7*t**3)*(-14 - 4*t + 14).\nAnswer: -376*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*d - 54 = 0. Suppose d = -g + 3*a, -5*g - a + 12 = -7. Solve -2*q + 7 - g = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 3 - 11 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 5 (c) 157 (d) -0.02 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, e: 1, h: 4, p: 5, t: 4, l: 1}. What is prob of picking 1 p and 2 t?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 1, s: 4, l: 1, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7565?\nAnswer: 5, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 741671 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144704 and 44338?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d + 82860 = -2*d. List the prime factors of d.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 11:39 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -34*a**3 + 241*a**2 - 32*a + 53. What is x(7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {q: 2, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1654877 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5545319 or 5545321?\nAnswer: 5545319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(12)*-4*-4)\/(sqrt(150)*2 - sqrt(150) - sqrt(150) - sqrt(150) - sqrt(150)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 604430.9 nanometers in micrometers?\nAnswer: 604.4309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 2*g + g**3 + 3*g + g**2 - 2*g**3 - 2*g**4 to w*g**4 + i*g + j*g**3 + p*g**2 + q and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 509.707 - -0.293. Let z = -510.1 + d. Let l = 0.05 - -0.35. What is the closest to z in l, 2, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 18*t**2 + 10*t - 1291. Determine n(14).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*m - 91*m - 34*m - 3*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -14 - 39 + 17 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039790124 to the power of 1\/2, to the nearest integer?\nAnswer: 45164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 8:57 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 423? (a) 11245 (b) 1.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2295 or 2294?\nAnswer: 2295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 404*s**2 + 22159*s\/3 + 7790.\nAnswer: -(s - 19)*(s + 1)*(s + 1230)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 333.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 5*w + 2. Let l be t(-3). What is the highest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 96. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42802182?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = 2*k, -5 = -3*k + q + 6. Suppose 3*s + b = -k*b + 6, b - 2 = 4*s. Suppose -70 - 367 = -5*m - 4*t, 5*m - 5*t - 455 = s. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 63. Is -2\/3 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24352.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**3 + 2*h**2 + 2*h - 2. Let x(z) = -18*z**3 - 5*z**2 - 4*z + 5. Calculate 5*u(t) + 2*x(t).\nAnswer: 9*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 10*q**2 + 8*q - 14. Let s be 2 + (-22)\/(-4)*-2. Let m be z(s). What is the fourth biggest value in -0.5, 5, m, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1519381531.3894 and -3.\nAnswer: 1519381528.3894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v - 2. Suppose a - 3*h = -h + 11, 4*a + 21 = -5*h. Let f be i(a). What is the third derivative of -4*k**2 + k**2 - 5*k**f - 2*k**3 + 0*k**3 wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 12 + (26 - -11 - 44) + (0 - 48).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1, -0.5, 4, -196?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*l*q*z**4 + l*q*z**2 - 2*l*q + 2*l*z - 89*q*z**3 + 131*q*z**2 - 70*z**4 + 28*z**2 - z wrt z.\nAnswer: -264*l*q*z - 534*q - 1680*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*a - 121 = -0*v, -3*v + 2*a = 149. Let n = v + 111. Suppose 10 - n = -h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 5075398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from hahhhhhh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8649.1 - -8650. Let k = 8 + -3. Which is bigger: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p**2 + 5*p + 3. Let q(j) = -3*j**2 - 2*j - 1. Let t(y) = -2*a(y) - 5*q(y). What is t(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(20\/3)*z*z))**(3\/2) assuming z is positive.\nAnswer: z**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.6 + -0.4. Let m = 46 + -40.9. Let o = m + c. What is the smallest value in -0.2, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -12 - (-90 - (-170 - -101))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -29\/2, 5, 1 in descending order.\nAnswer: 6, 5, 1, -29\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440 divided by 2.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -33*p**2. Let d(x) = 67*x**2 - 5*x - 5. Let i(l) = 33*l**2 - 2*l - 2. Let b(m) = -2*d(m) + 5*i(m). Give f(b(s)).\nAnswer: -31713*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745*f + 743*f - 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297052102, 297052104, 297052106?\nAnswer: 297052108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 229, 0, 4, -4 in descending order.\nAnswer: 229, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 166340? (a) -2 (b) 3 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 46. What is the second smallest value in -1\/5, f, -5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678*l + 52*l = -400*l - 3164. Let -30\/7*i**2 - l + 18*i + 2\/7*i**3 = 0. What is i?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 + 8*f - 3. Let j(t) be the second derivative of -t**4\/12 - t**3\/6 + 12*t. Let b(i) = -a(i) - 4*j(i). Solve b(s) = 0 for s.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 + f11?\nAnswer: f32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 321767.5 micrograms?\nAnswer: 321.7675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4646184 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2273 - 88. Calculate the highest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 1. Let v be f(-1). Suppose -m = 4*h - 7, v*m = -2*h + 3 - 1. Solve -j - 3 = -q + 4, 2*j = -h*q - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 4829*p - 639*p - 117 + 101.\nAnswer: -5468*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 7*j - 37. Let i be q(-11). Let o(r) = -3 + i*r - 13 + 20. Give o(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*l - 18 = -69*l - 4*m, l = -2*m + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 2. Let n be q(-1). Suppose -2*b + 48 = -2*h, n*h = -0*h + 4. Calculate the remainder when b is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 2057?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2 + 181686*t - 21216195 = 0 for t.\nAnswer: 117, 60445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3913 + 3954.06. Let w = -41 + n. Let z = 28\/47 + -215\/282. Which is the second smallest value? (a) -2 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -111*m**2 - 6204*m + 6540. Let a(x) = -5*x**2 - 282*x + 297. Let s(h) = -45*a(h) + 2*u(h). Let s(o) = 0. What is o?\nAnswer: -95, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -19. Suppose 3*x = 4*b - 100, 0 = -3*b + q*x - 5*x + 75. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -843.963162825?\nAnswer: 844.063162825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from occpo. What is prob of picking 1 p and 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(288) + 2)**2*5 + ((sqrt(22) + sqrt(22)*-1)*5 - sqrt(22))\/((sqrt(132)*-2)\/sqrt(12) + sqrt(11)).\nAnswer: 961*sqrt(2) + 5840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ae974 + -61?\nAnswer: -ae9d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29320160 is divided by 433.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1303, 1259, 1221, 1189, 1163, 1143, 1129?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xfxgffxxxfxxg.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923670 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418521654.\nAnswer: 2, 11, 64478257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0414 + 0.0586. Is -0.923 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777*h - 7739 + 29495 = 0 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.0518 + -9.0518. What is the second biggest value in -4, -0.43, 1\/3, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 8*o**2 - 10*o - 26. What is the units digit of p(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*g + 5, 22 = 5*a - 2*g. Suppose -238 = -3*x + n + n, -3*x - n + 250 = 0. Suppose -a*s - x = -90. Solve -3 + s = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12228749 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 5. Let v be -2 - (-4 + 2 + y). Let m(x) = 2*x**v - 4*x**2 - x**2 - 5*x**3 + 2 + 6*x**3 - 3*x. Determine m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 960709361.85825.\nAnswer: 960709361.35825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(20\/(-16) - 0) + (12 - 12\/(-36)). Suppose 2\/3*u**2 + 16 - s*u = 0. Calculate u.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -436 in 3, -2262, 0.5, -2, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.1974452 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19650 + 19650 + 3*z - 3*z - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 13*t - 588. Find the common denominator of -87\/28 and -2 - (-2 + (-170)\/t).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/206 (b) 4 (c) -2\/127 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1774.8904 rounded to the nearest ten?\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -174032 or -174031?\nAnswer: -174031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 769021\/9310 - 3\/1862. Let m = -82 + w. Let n = -2.4 + 2. Which is the closest to -1? (a) n (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 9*j - 10*j = 36 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 13) in base 10?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*486681.\nAnswer: 18493878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-28))\/((102\/1896)\/17). Which is smaller: 12 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -2824, 5, -1, 2, 33 in increasing order.\nAnswer: -2824, -2, -1, 2, 3, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16.035 times 6.2\nAnswer: 99.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t - 4 + 4 + 14*t - 26*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 = -4*a. Let s be -4 + 2 + 0\/a. Find the common denominator of 44\/7 and 1\/5 + 15\/s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (2 - 19 - 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001044 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2*o**2 + 229*m**2*o - 3*m + 1866*o**3 - 3 wrt o.\nAnswer: -2*m**2 + 11196*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(99)) + -2*(-2 + sqrt(99)) + (sqrt(99) - (0 + (sqrt(99) - sqrt(99)*1)))*3 + -2)**2.\nAnswer: 192*sqrt(11) + 1648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 15, 4*o - 2*s - 540 - 1450 = 0. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4617 is divided by 768.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5\/2, -2\/7, 0.4.\nAnswer: -12, -2\/7, 0.4, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.30957, 0.05, -0.007 in ascending order.\nAnswer: -0.007, 0.05, 0.30957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634296879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 212021012001 (base 3) in base 14?\nAnswer: bcc68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/3? (a) 0.01 (b) 9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o. Let n(b) be the third derivative of 479*b**4\/8 - 458*b**2 - 3*b - 1. Calculate g(n(v)).\nAnswer: 10059*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 2*l = -42. Let f(z) = -5*z - 13. List the prime factors of f(l).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23*1\/(-14) + 10\/70\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -123444 (base 5) to base 3\nAnswer: -20200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 5:39 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from joyhyhyojooyy?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 147455.9 to the nearest one thousand.\nAnswer: 147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssurrysskdssdyy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 61*q + 3. Let i(u) = -6222*u - 305. Calculate -305*b(y) - 3*i(y).\nAnswer: 61*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e99 + -801?\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 84. Let c be f(-19). Let r(h) = -21*h**2 - 11*h - 10. Let g(d) = 4*d**2 + 2*d + 2. What is c*g(i) - 2*r(i)?\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 31 - (464 + -584)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by -190.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 11*r - 73. Give n(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 689?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c - 15. Let n(h) = 9*h + 30. Let j = -3070 - -3068. What is j*n(r) - 5*w(r)?\nAnswer: 2*r + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*a + 2 - 33*a - 2.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*x**3 + 1292*d*x**2 + 2*d - 3826*x**3 wrt d.\nAnswer: -2*x**3 + 1292*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3316831034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*d + u - 6, -4*d + 3*u = -11. Suppose -11 = -8*c + d. Solve 0 = 2*n - 5*v - 9, 0 = n + c*n - 2*v - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -26*a - 260. Let l be t(-11). Solve -k + 11 = -4*p + 34, 0 = -2*k + 4*p - l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**2 - 19290*k - 13694800 = 0.\nAnswer: -2920, -938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 2*d + 7. Let b be a(-3). Let f = b + -21. What is the smallest common multiple of (2 - 1) + (14 - 1) and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + m - 2. Let r be x(2). Is r\/16 - 35\/(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, q: 8, s: 1, y: 2}. Give prob of picking 1 s and 1 y.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 2964*q**3 + 547596*q**2 + 550564*q.\nAnswer: 4*q*(q - 371)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5888 (base 10) to base 5\nAnswer: -142023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1939931.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26, -31, -36, -41, -46, -51?\n\"Answer: -5*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 1. Let o(q) = 4*q**2 + 6*q**3 + 1 + 4*q + 2*q**2 - 5*q**3. Let d be o(-5). Give p(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 1 - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -46. Suppose -2*r - 12 = -6*r. Suppose 16 + 3 = y + 5*o, 0 = -r*y + 4*o. Solve -u - y*v = -0*v + w, 2*u = v - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 8*v + 22. Let a be t(4). Let b be (-60)\/(-18) - 2\/a. Suppose -g - 3 = 0, -2*d - 462 = -b*d + 5*g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/40 and 139\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.1 + -8.1. Let o = -0.9 - 2.1. Which is the closest to -0.03? (a) o (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 2*v + u, 5*u + 24 = v. Suppose a + v*a - 10 = 0. Let t = 7 + a. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:52 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4128299, -2\/7, 50?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1535688 divided by 24376\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.21, 5, -0.3, 0.68?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -87. What is the units digit of (-3*(-356)\/(-12))\/(b*-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1394, -0.3, 3, -1, -3\/8, 2 in decreasing order.\nAnswer: 1394, 4, 3, 2, -0.3, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4 + 14. Let p = -5 + g. Is 6 a factor of (-56)\/p + 2\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 1)*(0 - 0). Suppose a*j - 2704 = -4*j. Suppose j = 4*w - 0*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {r: 1, s: 1, i: 1, w: 2, t: 1, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.169 (b) -0.3 (c) -1992 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - h - 2)*(34 - 143 + 44) + 27 + 35*h - 27 to r + a*h and give a.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 5. Let o = u - -7.006. Round o to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 23*t + 23. Let k be l(-1). Solve 0*z - k*z - 10 = -3*j, 0 = 3*z - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01013548988 to 5 decimal places.\nAnswer: 0.01014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169580009?\nAnswer: 169580009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/8 + 5*f**3\/2 + 13*f**2\/2 - 60*f + 72.\nAnswer: (f - 2)**2*(f + 12)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/((-1)\/24). Let j = 15 - f. Let c(m) = 12*m. Let w(k) = -k. What is j*c(y) - 15*w(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Suppose -c*i + 2*i = -6. Solve 4 = -m - y + i, y = -5*m + 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 1 + sqrt(288) - sqrt(2) - -4*sqrt(8)\/sqrt(4))**2*4 + (sqrt(154)\/(sqrt(7) + sqrt(14)\/sqrt(2)))\/((1*sqrt(88))\/sqrt(8)).\nAnswer: 433*sqrt(2)\/2 + 5836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.030528*0.1.\nAnswer: 0.0030528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-3)\/(102\/(-4))). Let x = 28 + r. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*((-10)\/1)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -19034, 5.\nAnswer: -19034, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 18195920?\nAnswer: -18195920.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (7\/(-14))\/((-8)\/48)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/11 (b) -2\/9 (c) -302\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(280)\/(-1*sqrt(360)))\/((sqrt(264)\/(sqrt(11)*-2 + sqrt(11)))\/sqrt(6)) + 2).\nAnswer: -2 - sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 85165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/182611 or 1?\nAnswer: 2\/182611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/30 - c**4\/12 - 7*c**3\/2 + 2*c**2. Let s(v) = v**2 - v - 10. Let n(o) = -3*q(o) + 7*s(o). Does 13 divide n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/200 + 10\/(650\/4563) + (-26)\/(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157422653, 157422654, 157422655, 157422656, 157422657?\nAnswer: 157422658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 3 (c) -14 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + (-34)\/(-12))\/(28\/(-60)). Which is the fourth biggest value? (a) 2\/11 (b) -4 (c) 2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1227*q - 114025 = 954*q + 4834*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c - 3*t = -48*c, 19 = 3*c + 5*t. Let d = 0.022 - 0.262. What is the nearest to 0 in d, c, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(50)\/sqrt(5) + sqrt(10)))\/(sqrt(240)\/sqrt(12)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/6*(-3)\/2. Suppose k*u = 4*d + 8, 3*d + 1 = 5*u + d. Let s = -1.106 - -0.106. Is s at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 6*u + 0*u)*(-2 - 2 + 2)*((1 - 5 + 2)*(137 - 35 - 39) + 0 + 2 - 4).\nAnswer: -1024*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/3, 12, 0.05, -54, 2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43037, 86083, 129143, 172223, 215329, 258467, 301643?\nAnswer: 344863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)*1 - sqrt(480))\/(sqrt(1210)*-2 - sqrt(1210)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-995)\/(-1575) - (-30)\/(-50))\/(3\/7)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 353522908 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30040474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 230 = 221 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 8. Let t be m(-6). Let s(b) = -11*b - 2. Let o be s(t). Let f = -19 + o. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 + 5*i - 4. Let y be s(-3). Let p = 29 - y. Let u = 6 - p. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.543 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 44299.89 - 378238\nAnswer: -333938.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 10. Let a be (-3)\/5*(-20)\/m. Solve -2*x - 2*y + 29 = a*x, 2*x - 3*y - 4 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 + 47 = 24*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1179 divide 336815541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 191779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, -3, 0, -1, 60, 119 in ascending order.\nAnswer: -104, -3, -1, 0, 60, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 31*m**2. Let r(s) = 19*s. Calculate r(f(u)).\nAnswer: 589*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.316 and -4062078.05.\nAnswer: -4062077.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1205 and 107245.\nAnswer: 107245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, -3\/10, -1\/61, 0.4 in descending order.\nAnswer: 0.4, -1\/61, -0.2, -3\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1805 is divided by 860.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*r**2 + 85673*r - 1207620 wrt r?\nAnswer: 16*r + 85673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 - 2*i - i**2 + 19*i + 6*i as b*i + z + o*i**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 319871 - 2637 = 0. Let k = g - -1238746. What is k rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -3 - 430\/(-129). Which is the closest to 1? (a) 0.1 (b) 3\/8 (c) 2\/17 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0047 - 221.\nAnswer: -220.9953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -698 + 140. Suppose 4*j = 2*j - 176. Let f = k - j. What is the third biggest value in -14, f, 0.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 19.67.\nAnswer: 7.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 77 = 6*j + 6*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - d - 317 = 0, l + l + 3*d - 226 = 0. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74924*w = -74934*w - 50 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 4*r + 357, -h - 67 + 186 = -3*r. Suppose h = 3*w - 136. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 + 71 - 45)*(-4*d - 4*d + d + (2*d - 3*d - d)*(-3 + 2 + 2))*(4*d**2 + 5*d**2 - 2*d**2).\nAnswer: 2016*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17323142*r = 17323261*r + 4641 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12715d + -4?\nAnswer: 127159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18818*g**2 - 33578296*g - 14979035528.\nAnswer: -2*(97*g + 86542)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 30204*n - 30199*n + 184, -4*c = 21*n + 231 for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 197\/4 + -49. Let k be (-364 - -365)*(0 - 1 - -3). What is the nearest to 1 in 0.08, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u\/u**8*u))**32 assuming u is positive.\nAnswer: u**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101122313 + 11?\nAnswer: 101122330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 95900813513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 51. Let f(v) = -6*v**3 + 152. Calculate -14*c(t) + 5*f(t).\nAnswer: -2*t**3 + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.3, -86.\nAnswer: -86, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 14 - 8 = 4*l, 5*l - 10 = 0. Let n = 6785 - 6783. Solve 0 = 2*c - j - n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-907920)\/(-65) - (-12 - 1). What is the highest common divisor of c and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/173 in -0.5, 16\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 6. Let l(i) = -2*i**3 + 1. Let r be l(v). Sort r, -5, 1 in ascending order.\nAnswer: -5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18662 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*m**2*q - 7571*m**2 + 4*m*q**2 + m*q + 179770*q**2 wrt m.\nAnswer: 74*m*q - 15142*m + 4*q**2 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 7*y + 7. Let w be v(6). Let x = 6 - w. Let c(d) = d**3 - 4*d**2 - 5*d + 1. Calculate c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21592 is divided by 10791?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2395 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -50?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*y = -16*y - 72*y + 53*y - 700 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h = -80. Find the first derivative of -w**2 - h*w**3 + w**2 + 11 + 17*w**3 wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -625 + 627. Suppose -230 - 502 = -5*j + 4*y, h*y - 714 = -5*j. What is the least common multiple of j and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*s + 3. Suppose q = -h + 30, h = -s*q - 0*h + 132. Suppose 0 = 5*d - o - 128 + q, 5*d + 2*o - 97 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/103*28464\/(-362916).\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 68, 2, 37, 5, -373, -3 in increasing order.\nAnswer: -373, -3, 0, 2, 5, 37, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a + 3. Let u be q(0). Suppose u*h - 6 = 18. Calculate the least common multiple of 2 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14636, -14637, -14638, -14639?\nAnswer: -14640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8494873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, h: 4, c: 3, s: 8}. What is prob of picking 2 h and 1 m?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 30*k**2 + 56*k + 29. Let g be d(-28). Suppose 0 = 5*z - z - 8. Suppose -3 = -y + 2*i + g, z*y = -4*i + 56. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364391.6 rounded to the nearest one thousand?\nAnswer: -364000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auktskk. Give prob of sequence kkts.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + sqrt(418)\/(4*sqrt(11)))\/(sqrt(128) + 4*sqrt(128) + sqrt(128) + sqrt(2)))**2.\nAnswer: 475\/38416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m**2 - 15*m**2 + 13*m**2)*(-2*m**2 - 1 + 1).\nAnswer: 22*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -262 - -249. Does 10 divide 11\/(((-65)\/110)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*k - 2*u + 5*u, -4*k - 3*u = -69. Solve 9*c = 12*c - k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*t + 34*t - 7*t**2 + 6*t to h + r*t + n*t**2 and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 125, 157, 201, 263, 349, 465, 617?\n\"Answer: u**3 + 25*u + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18\/(-10)*(-6 - 19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.051734 - -0.01909. Round d to three dps.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478c (base 13) to base 2.\nAnswer: 10011101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, k: 1, a: 1}. What is prob of picking 1 a and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646625 is divided by 283?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -4\/151, 2\/15, 2\/17, 1\/18, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112511 = 4*a - 5*g, -20*g = a - 15*g - 28134. Calculate the highest common factor of a and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v - 136. Let w be y(-17). Let t = 5\/9 + 1\/9. What is the fourth smallest value in -2\/5, t, w, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8172 and 65376?\nAnswer: 65376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 6, 22, 56, 114, 202, 326, 492?\n\"Answer: p**3 - 3*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3 + 282232*a**2 - 1432109*a wrt a?\nAnswer: 6*a + 564464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*-1*3\/(-9). Is p\/((2\/(-658))\/(-1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7 > -1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1684338549 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (1183\/(-26) - (-9)\/(-2)). What is the highest common divisor of 20531 and j?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*g. Let a(z) = z**3 - 5*z**2 + 2*z - 7. Let d be a(5). Let x be (15\/(-6))\/((-1)\/2). Sort d, g, x in ascending order.\nAnswer: g, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0486 + -0.05. Let t = 0 - b. What is t rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -38, -93, -170?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -44396660326 - -0.255\nAnswer: -44396660325.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115456018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*m = -2, 16219*h - 4*m = 16215*h + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (58 + -6 - -5) - (396 - 384).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/3 - 238394*g**2\/3 + 476782*g\/3 - 238390\/3 = 0. Calculate g.\nAnswer: 1, 119195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*v + 5. Suppose 0 = -a - a + 7*a. Suppose -s - 4*w - 6 = a, -8 - 2 = -3*s + 2*w. Sort 0, s, v.\nAnswer: v, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**4 + 1738*p**3 - 324652*p**2 + 319448*p + 645840 = 0.\nAnswer: -1, 2, 270, 598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 1. Let z be i(4). Let x be z*(-2 - 6\/(-9)). What is the remainder when (x - 20)*7\/(-4) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 - (-22)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -22561*o + 203039. Determine m(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y = -12. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 14, p: 1}. Give prob of picking 1 p and 3 g.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/791 (b) -0.3 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqerrmllnqmmq. Give prob of sequence nm.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -108*s - 873. What is k(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - -13 - (-6 - -27)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86 - 86 - 2*c**2 + 17*c wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6*-113)\/(28\/(-84)). Suppose -b = g - 39, 2*b = 3*g + b - f. Suppose 196 = 3*k - g. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 8*i**2 + 6*i + 9. Let o be u(7). What are the prime factors of 4\/8 + 125\/o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 21.1. Which is the second smallest value? (a) q (b) 0.2 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3051.02581 and 53.\nAnswer: -2998.02581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2286)\/14859*13\/(-17).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 898803.8mm to centimeters.\nAnswer: 89880.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 566102837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -241213203 (base 5) to base 7\nAnswer: -12330423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4.4 (b) -0.015 (c) -0.2 (d) 2 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*5.6\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 56 = 2*h. Suppose 0*a = -a - 3*x - h, 4*x = 0. Let m(d) = 0*d**3 + 9 + 7*d**2 - 6*d + 3*d**3 - 2*d**3. Give m(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*a + 370724 + 324178 = -329550. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(((-9)\/6)\/1). Suppose 5*w = 15, y*p - p - w = 35. What is the remainder when p is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 4816.\nAnswer: -57792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 10 + -11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**3*q**3 - j**3*q**2 - 14273*j**2*q**2 + 698*j*q**5 wrt q?\nAnswer: -24*j**3 + 41880*j*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**2 + m - 1. Suppose 0 = -4*k + k + 4*h + 7, 0 = 5*k - 4*h - 9. What is the units digit of p(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 14*c. Let y(r) = 17*r. Determine m(y(v)).\nAnswer: 238*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, 28, 182, 398?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - 71 - 23*o**4 - 37*o**4 + 70 + 0 in the form s*o**2 + f*o + n + y*o**4 + t*o**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2713 and -1.513.\nAnswer: -1.9234769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 165.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25364.62 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 24*s**3 - 3*s**2 + 4*s - 1. What is the smallest common multiple of 28 and i(1)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.67 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -972590 + -0.6?\nAnswer: -972590.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**6\/900 + 29*c**5\/300 - 9*c**4\/10 + 50*c**3 + 204. Let j(n) be the third derivative of f(n). Find w such that j(w) = 0.\nAnswer: 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(3)*5 - (-6*sqrt(3) + 4)**2) + 3)*1 + -2.\nAnswer: -123 + 73*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from effewfwwf. What is prob of sequence effw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-6720)\/(-441))\/(-40)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46782 - 46783. Let g(b) = 2*b**3 + 4*b**2 + 5*b + 4. Let z(l) = 3*l**3 + 5*l**2 + 6*l + 5. Let h(t) = -5*g(t) + 4*z(t). What is h(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2301965.79358 + 2301945. Let x = q + -3.20512. Let a = -24 - x. What is a rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -49, -45, -41?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30753641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -75*(-4)\/(1 + 3). Find the third derivative of -3*l**4 + 88*l**2 + 10*l**4 - d*l**2 wrt l.\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 9 + (-13 - 4)*-110. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 + 285*o - 287*o + 2*o**4 + 0*o**4 in the form k*o**4 + f*o**2 + v + m*o**3 + x*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + -3*(sqrt(110) + (sqrt(110) + -1*sqrt(110) - sqrt(110)) - sqrt(110) - sqrt(110)) - sqrt(110))\/(sqrt(10) + 2*sqrt(250)).\nAnswer: 6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1462*c = -1466*c + j + 149, -293 = -6*c - 2*j - 73 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4 - 2)*67\/(12864\/1792).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -22*o - 73*o - 1183 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x - 840 = -x. Suppose 63 = -0*l + l. Let i = l + x. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*y + 10*y + 26*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29371 is divided by 706?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5712777 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-2) + 20\/(-40). Suppose 2*o = c*n - 870, -o - 2*o = -15. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**11\/(k\/k**(2\/3)))\/((k\/(k\/k**(-10)))\/(k**(-13)\/k)) assuming k is positive.\nAnswer: k**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 27*k - 28)*(0 - 3 + 2*k**2 + 4) + 6*k**3 - 9*k**3 + 20*k**3.\nAnswer: 71*k**3 + 27*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1 + -8 - (-2 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 5 = -14*q. Suppose -q - 5 = -3*h. Let r(n) = 18*n - h*n + 21*n + 2*n. Let z(i) = -i. Determine r(z(w)).\nAnswer: -39*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from cgwccccwww?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43540.\nAnswer: 2, 5, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 12*t**4 + 35*t**5 - 130*t**3 - 4*t**2 + 48*t**4 - 6*t**2 - 124*t**3 + 269*t**3 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.022 (c) 3\/7 (d) -0.01 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 714, 0.5, -33348, 4, -0.4, -2 in ascending order.\nAnswer: -33348, -2, -0.4, 0.5, 4, 714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**4\/4 + 4*a**3\/3 - 2*a**2 + 4*a + 10. What is w(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(5*3\/135)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*o = 4*o + 814, 5*d + o - 4026 = 0. What is the highest common factor of d and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 548653957 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1343980, -1343981, -1343984, -1343989, -1343996, -1344005, -1344016?\n\"Answer: -p**2 + 2*p - 1343981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b65 - -abaa2?\nAnswer: ac937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 + 6 = 4*o, -3*i = -2*o + 6. Let u be (9 - i)*(-18)\/(-27). Let m = u + -2. Solve m*x = -2*v, 4*x - 2 = 2*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677*o**2 - 11*o - 676*o**2 - 6*o + 17*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*w - 165 = -128*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(4\/15))**(-27)*((g**(-10\/11)*g*g)\/g)\/g**(-7))**(-8\/3) assuming g is positive.\nAnswer: g**(3976\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61.927 - -0.073. Let j = 87 - f. Let c = -3.0197 - -0.0197. What is the third smallest value in j, c, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**3 - w + 92302. Let t(b) = 4*b**2 - 8*b. Let n(y) = y. Let d(x) = 8*n(x) + t(x). Calculate d(j(h)).\nAnswer: 36*h**4 + 24*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 2, n: 3, d: 2}. What is prob of picking 1 p and 1 d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -130185 divided by -11?\nAnswer: 11835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3532*n**2 + 4481*n**2 - 949*n**2 - 247*n**3.\nAnswer: -247*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(6\/11)\/a)**40*(a**10)**(-38))**14 assuming a is positive.\nAnswer: a**(-55160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(378\/(-30)))\/(140\/4704*-7)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1489 - 133*c**4 - 1489 + (21*c**4 + 157*c - 157*c)*(2 + 1 - 4).\nAnswer: -154*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*x + 9 = 0, -4*g - 4603 = -5*x - 4597 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 3*s**2 + 3*s - 2 - 7*s. Let a be t(-1). What is the remainder when 2 is divided by (-54)\/(-30) - a\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*x**3 + 90*x**3 - 47*x**3.\nAnswer: 91*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-5))\/(18\/(-60)). Suppose -3*u = -5*p + 36, g*u + 32 = 2*p + 2*p. Solve -1 + p = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -230 - 14?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -20222011?\nAnswer: -20222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/2)\/(r\/r**(-5\/6)))\/(r**(1\/4))**(-34) assuming r is positive.\nAnswer: r**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48 + 33e56?\nAnswer: 33e9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.53218 micrometers in millimeters?\nAnswer: 0.07153218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 0*x - x)*(-60*x - 97*x**2 + 60*x) - 2*x**3 + 0*x**3 - x**3 as p*x + n*x**2 + k + z*x**3 and give z.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(18) + -2*sqrt(1458))\/(sqrt(6) - (sqrt(486) - sqrt(486)*2 - sqrt(486))) + -1 + sqrt(363) + 2 + 5)*1)**2.\nAnswer: 4224*sqrt(3)\/19 + 154273\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3630) - -1*sqrt(3630))\/(-4*((sqrt(6) - sqrt(6)*-1) + sqrt(6))) - (-2 + (-3 + 1*sqrt(500))*-1))**2.\nAnswer: -49*sqrt(5)\/3 + 12041\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 348370, 348372, 348374?\n\"Answer: 2*s + 348368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120048 is divided by 120042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -2, 32 in descending order.\nAnswer: 32, 16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 31*q + 4. Let h be k(31). What is the derivative of -5*g**h - 3*g**4 - 2*g**4 + 164 - 3*g**4 - 6*g**4 wrt g?\nAnswer: -76*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 - -601. Let q = 775 - h. Solve 2*f - f + 3 = -u, -26 = -3*u + q*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:41 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 29*l - 17. Let v = -12 + 25. Is n(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from kzkkwbzywk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -32)\/((-112)\/(-32) + 252\/24).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -90*o**2 + 28*o**2 + 32*o**2 + 36*o**2. Let c(d) = -26*d. Give r(c(i)).\nAnswer: 4056*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 123.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 2*g + 4*g + 4 = 0, -15392*r - g = -15387*r - 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 70?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13200 + -13232. Sort 2, 3, 0, n in descending order.\nAnswer: 3, 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 59 - 52 + 77 + 82*t - t**4 - 81*t as d*t**4 + w + f*t**3 + p*t + j*t**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**7\/70 - 11*b**3\/6 - 4*b**2. Differentiate r(q) with respect to q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/4 - 2\/4. Suppose j*n + 804 = 12*n. Is 25 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-2*p**2 + 1 - 1) + 10*p**2 - 22*p - 7 + 22*p.\nAnswer: 6*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-477)\/530)\/(1044\/1015).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15, 4, 2, 20, 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3. Let w(x) = x**2 - x + 3. Let q(c) = 3*v(c) + 4*w(c). Let f be q(-5). Suppose -69 = -2*g + f. What is the greatest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36095438*t**3 - 2*t**2 + 1145793*t + 1.\nAnswer: 216572628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*sqrt(52))\/(sqrt(4) + sqrt(28)\/(sqrt(14)\/sqrt(2))) - 6*(sqrt(208)*-1 + -4 - 5*sqrt(208)*-2).\nAnswer: -429*sqrt(13)\/2 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**2. Let j(r) = -2*r - 5. Let x(c) = 1. Let d be (-30)\/(-34) + (-2)\/(-17). Let y(b) = d*j(b) + 5*x(b). Determine m(y(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -705*s + 1375*s + 597*s + 499*s in the form q + v*s and give v.\nAnswer: 1766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -2*u + 4*b, u + 180 = 2*u - 4*b. What is the highest common factor of u and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4620*r**6 - 19347*r**2.\nAnswer: 554400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r)**(-8)\/(r*r\/r**(-1\/4)*r)**(2\/85))\/((r**0)**2*r**(-2)*r\/(r\/(r\/(r**(-2)*r)))) assuming r is positive.\nAnswer: r**(-2733\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by (2 + -1)\/((-13)\/(-221)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/1)\/((-2)\/(-15)). Let m = 43459\/142 + 103\/71. Let o = m + -307. Which is the biggest value? (a) 0.4 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*b**4 - 3*b**5 - 632*b**2 - 512 - 29*b**4 + 2*b**5 + 781*b + 47*b**3 + 307*b.\nAnswer: -(b - 8)**2*(b - 1)**2*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1833176 to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -200*l**2 + 3*l - 4. Let g be k(2). Let d = 1351 + g. Suppose 4*w + d = 3*f + 4118, 3*w = f + 2670. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -10379542?\nAnswer: -10379537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**5\/4 + 5*b**4\/2 - 15*b**3\/2 + 10*b**2 + 27*b. Factor m(a).\nAnswer: -5*(a - 4)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0109 + -0.1109. What is the second smallest value in 3, 2\/75, s?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -6 - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/155 or 1?\nAnswer: -14\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4045742.\nAnswer: 2, 167, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1122, -2247, -3386, -4545, -5730, -6947, -8202?\n\"Answer: -z**3 - z**2 - 1115*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 + 4)*(-w + 2*w + w)*(-74 - 4 + 12).\nAnswer: 792*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 30. Suppose -b*m + 20*m - 7 = 0. Is -6 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (0 - (1 + -1)). Suppose 3*q = n*l - 0 + 30, 5*q - 28 = -4*l. Calculate the smallest common multiple of q and (18 + 696\/(-36))*(36\/(-8))\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 7*r**2 - r - 7. Let w be d(-7). Suppose 14 = 5*g - q, q = g - w*q - 6. Solve -1 = g*f + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {f: 9, h: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/3 (c) 0.1 (d) -1\/4 (e) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -91084, -91094, -91104, -91114, -91124, -91134?\n\"Answer: -10*x - 91074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 35. Which is bigger: z or -1\/18?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2 = -5*a, 2*a - 2*f + 0*f = 0. Let m be (-4 - -684) + -1 + a. What is m rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*m. Let w(u) = -u + 1. Let n(l) = -4*l**2 + 5*l - 4. Let s(c) = m*n(c) + 5*w(c). What is the first derivative of s(v) wrt v?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.11 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {r: 2, i: 1, d: 4, f: 3}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2489 is divided by 725?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 15 = -4*v, -2*o + 3*v + 61 = 36 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 + 1144*k**3 + 1132*k**2 - 2280*k.\nAnswer: 4*k*(k - 1)*(k + 2)*(k + 285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1989)\/(-26) - -2) + (-715)\/110?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-8 + 6 - (-5 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d91206 (base 14) in base 7?\nAnswer: 116252106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44a33 + 4?\nAnswer: 44a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 16 + -1 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 89*m + 1 - 68*m + 155*m + 0.\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10158 + -10079. Let d(v) = -v**3 - 3*v**2 + 4*v - 3. Calculate the remainder when j is divided by d(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136 + -375?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 219443559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 1625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:47 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*c**2 - 11*c**2 + 154*c**3 + 118*c**2 + 671*c**3.\nAnswer: 825*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (855\/(-12))\/(2\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/70*20\/16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -c?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 - 370*r**2 + 365*r**2 + 5*r**3 + 0*r**4 - 7*r**3 - 4*r**4 + r + 2 in the form h*r + n*r**2 + i + w*r**4 + j*r**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - -20. Calculate the greatest common divisor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 smaller than -220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19037903233 minus 0.03?\nAnswer: -19037903233.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/361317 and -107\/264?\nAnswer: 2890536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -497984, 1, 3 in descending order.\nAnswer: 3, 1, -3, -497984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0 - 49\/40*o**6 + 0*o + 43\/20*o**5 + 0*o**3 + 272*o**2 + 0*o**4. Find the third derivative of m(x) wrt x.\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53239, -53855, -54463, -55063, -55655, -56239?\n\"Answer: 4*s**2 - 628*s - 52615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from nnaknaohkoknann?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/(-63)*(-6)\/8. Sort -4, z, -0.1 in increasing order.\nAnswer: -4, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149 + 23. Let d = -138 + f. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26*20\/(-104) + (-4)\/((-12)\/89073) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, 1, -0.2, 7 in increasing order.\nAnswer: -0.2, 0.1, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.192 and 65.\nAnswer: 64.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 88. Suppose s - k = 4*b + 38, -5*b = -s + 85. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.089316 millennia in centuries?\nAnswer: 90.89316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 29*u**2 - 1896*u + 713. Determine m(65).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/40 - 2*g**5\/15 - g**4\/6 + g**3\/2 - 2*g**2. Let f be h(-7). Suppose -144 = -4*v + f. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14347558297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) -11\/4 (b) -2 (c) 14 (d) 4 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 132 = -0*r. Suppose -i = 3 - 7. Suppose 3*v + 4*s = -7, -3*v + 29 = -4*s + i. What is the highest common divisor of r and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1739, 7030, 15889, 28316?\nAnswer: 44311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 715578.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 2*n. Suppose -2*t = -7*t + 10. Let w(u) = -9*u + 3*u**2 - u**2 - 7*u**t. Calculate 18*o(s) + 4*w(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + -5 + 23 - (5 + -2 + -10)) + -34?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*q**2 + 5*k*q + 2*k - 459*q**2 + 196 wrt q.\nAnswer: 4*k - 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4371 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 671, 0.1, -0.01.\nAnswer: -5\/2, -0.01, 0.1, 671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0*j**3 + 0*j**2 - 1\/6*j**4 - j + 0. Let f(l) = -35484 + 35484 + 18*l**2. Calculate w(f(q)).\nAnswer: -648*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - 3\/(-2)*2. Let b = l + -15. Let r(z) = 3*z - 5. Let x(p) = 8*p - 14. What is b*x(g) + 14*r(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*h - 1621*w + 1618*w, -2*h - 5*w + 13 = 0. Let q = 55 + -58. Sort q, h, 3 in ascending order.\nAnswer: q, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b861e - 0?\nAnswer: 1b861e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/2*(840\/1344 - 11\/(-8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32102 - -23?\nAnswer: -32024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9. Let n = -5 + 1. Let f = -2.02 + 0.02. Which is the nearest to 0? (a) f (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 9*c + 18. Let i be w(4). Let a = 1 + 1. Find the third derivative of -7*l**2 - 5*l**2 + 33*l**a - 15*l**3 - i*l**2 wrt l.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4408 and 1673618420?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbvzcxbzdbdx. What is prob of sequence xc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1923, 1970, 2029, 2106, 2207, 2338?\nAnswer: 2505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2282, -2387, -2662, -3191, -4058, -5347, -7142, -9527?\nAnswer: -12586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 171*c**5 + 4 - 63*c**2 - 82*c**5 + 565*c**6 + c**3 - 89*c**5 wrt c.\nAnswer: 67800*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11770 and 18326?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 3*l - 5. Let z be h(0). Let b be (z - 2 - -2)\/(-1). Suppose b*v + 0*w = -5*w, 2*v + w = 4. Solve -24 = -5*p - v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64000 and 40064.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020202 - 2?\nAnswer: -1020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3638 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5\/7, 10, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02672 + 0.52672. What is the closest to p in -5, 5, -14.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -1\/21 (c) 0.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32439 > 32438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 2*c + 6. Let i = -1 + c. Let q be (3\/2)\/((-1)\/(-2)). Solve 7 + q = -i*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19855*r**4 - 19876*r**4 + 0*r**3 + 4*r**3 + r**2 as p*r**2 + l + a*r**3 + o*r**4 + g*r and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17717047 (base 8) to base 13\nAnswer: b2c91c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.026804 and -7.55.\nAnswer: -0.2023702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/4 - 34*g**4 + 92805*g**3\/2 - 92702*g**2 + 185335*g\/4 = 0. Calculate g.\nAnswer: -505, 0, 1, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + -1*sqrt(363) + -2)**2 + (1*sqrt(363)*-6 + (sqrt(363) - ((-3*sqrt(363) - sqrt(363)) + -3)))**2.\nAnswer: -176*sqrt(3) + 760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 9851 = 2245. What is the highest common factor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.29377 millennia in decades?\nAnswer: 3629.377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 divided by -42?\nAnswer: 184\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1 - 1 + 3*h + 9*h - 4*h**2 - 9*h + h**3. Determine m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + 177*i**3 - 174*i**3 + 2*i**2 as u + k*i + g*i**2 + p*i**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -115680 divided by 7\nAnswer: -115680\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(119 + 111 - 226 - 21*d) + (-3 + 1 + 0)*(0*d + d - 3*d - 1).\nAnswer: 46*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 9*i**2 - 8*i + 1. Let o be f(-8). Let j = -5\/3 + o. What is the nearest to -0.1 in -3, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -38*r**2 - r + 5. Let b(d) = -38*d**2 - d + 6. Let s(o) = 5*b(o) - 6*n(o). Suppose -4*f - 4*g + 12 = 0, -2*g = 2*g - 16. Is s(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/99155 and -143\/594930.\nAnswer: 594930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.6569 to 1 decimal place.\nAnswer: 47.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 587, 1053, 1635, 2333, 3147?\nAnswer: 4077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/105*279\/186?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*r**4 + 352*h*r**3 + 2*h*r**2*t + 1749*h*r - 7*r**3*t - r**2*t + 4*r**2 wrt r?\nAnswer: 24*h*r + 2112*h - 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 5 + 5)*(3*b**2 - 3*b**2 - 2*b**3) + 41*b**4 - 636*b**3 + 636*b**3 to the form p*b**4 + f*b + c + n*b**2 + d*b**3 and give p.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*j - 70, -j + 2*y = 4*j + 217. Let x = j + 125. What is the highest common divisor of 32 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2718775718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*0\/(1\/(-1) - 0). Suppose f*r - 4*r = -84. Let a(d) = -21*d - 3. What is the remainder when a(-3) is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-4)*(-1 + 2). Let v(c) = 2*c**2 + 3*c + 3. Let l be v(s). Is (-2 - -27)*2\/l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -141. Suppose 2*q = -3*q + h. Calculate the least common multiple of q and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/30 - 5*s**4\/84 - 2*s**3\/21 + 8*s**2. Solve p(b) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 6151040.\nAnswer: 43057280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, m: 1, s: 4, g: 4, d: 2}. Give prob of sequence ssm.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -205*j + 116*j + 117*j + 115*j. Let m(n) = -7*n**2. What is v(m(i))?\nAnswer: -1001*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -8. Let j = -11 - -8.6. Let l = 0.6 - j. What is the third biggest value in w, l, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 525325 and 545?\nAnswer: 57260425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/5 + 6\/(-15). Let n be 0 + (-1)\/9 - (-98)\/(-9). Let r be 11\/n*(m - 1). Solve 0 = 5*l - 3 - r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 440758373?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 17*y - 107. Let l be d(22). Solve -4*k + 5*t + 11 = 0, -5*t + 17 = -0*k + l*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (20 + (-25 - -12) + -13).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0122705528 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*x**3 + 103*x**3 - 60*x**3 - 93*x**3.\nAnswer: -134*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*o - 189084 + 378164 - 189080.\nAnswer: 200*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38171 + -38166.0001. Let a = 5 - v. Round a to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Suppose 0 = 5*u - c*u - 80. Let p = -6 + u. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-130)\/(-35) + (-2)\/(-7). Suppose -w = 3*l - 4*l. Which is the third biggest value? (a) l (b) -4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 4. Let i = -14885 - -14889. What is the second smallest value in -0.01, i, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2. Let u(s) be the second derivative of 17*s**5\/120 - 7*s**3\/3 - 3*s. Let t(r) be the second derivative of u(r). What is t(m(p))?\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14*v**3 + v**2 + 1776*v + 10. What is g(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 744?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -47 + (0 - 2) - (53 - (25 + 45))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - l + 182. Let z = -379\/2 - l. Calculate the common denominator of z and (-3*18)\/(16\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301.85 * 2\nAnswer: -603.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251 divided by -3?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 4:22 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54723 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125)*-2)\/(sqrt(441) - (sqrt(441) + (sqrt(441) - (sqrt(441) - (-2*sqrt(441) + sqrt(441)))))).\nAnswer: -10*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s + 33537 = 35924 for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/30 - ((-2313)\/15 + -2). Suppose 0*y + r = 3*y + 3*x, 3*y - x - 164 = 0. What is the remainder when y is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - -7 - (-60 - -65).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkk when three letters picked without replacement from vktvkkkktkk.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -545 (base 8) in base 14?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*u - 487155 - 1815417 = 0. Is u at most as big as -20198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -409235?\nAnswer: 409239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from navuununvmnvnvuauuv. What is prob of sequence aumv?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*t + 4 - 32, 2*k = -3*t. Let c(m) be the first derivative of 0*m - 1\/2*m**2 + k. Let v(u) = -u**2. What is c(v(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 17*h**2 - 19*h - 10. Let x be o(-18). Suppose 0*l - 4*l + x = 0. Suppose p = 2*z - l, -9*p - 4 = -4*p - 4*z. Solve -5*v - 15 = -p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(2 - 2 - -2). Suppose -3*c = -4*n + 10 - 65, 0 = -n - z. What is the common denominator of (-25)\/2*(-8)\/18 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1216) + -3)**2*-3.\nAnswer: -3677 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 194523 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (6 + -4 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.334277l in millilitres?\nAnswer: 9334.277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2048\/(-43008) + ((-3)\/(-7) - 11510\/(-105))\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 22*f**2 + 52*f - 32.\nAnswer: 2*(f - 8)*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 386066523 a multiple of 6833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -152, 5, -8, 1, 0, -4 in ascending order.\nAnswer: -152, -8, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/23, 366, -11\/7?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + 2*(0 + (sqrt(245)*-1 - sqrt(245)) + sqrt(5)) + -2)*6)**2*-1*6.\nAnswer: -26290656 - 404352*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 2}. What is prob of sequence hf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4640588, 4640607, 4640626, 4640645, 4640664, 4640683?\n\"Answer: 19*t + 4640569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1163655 (base 7) to base 12\nAnswer: -72b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168628795 divided by -37.\nAnswer: 4557535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*v = -101*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 7*w - 102. Does 38 divide v(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11722333 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2111 + 103311031?\nAnswer: 103302320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315870 and 3390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -9*n + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -103.8*0.03\nAnswer: -3.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*q - w + 7, 0 = -q - 4*w + 30 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84816.\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 20, 5, 8, 4 in descending order.\nAnswer: 20, 11, 8, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 3*f + 2. Let n(k) = -k + 1. What is 4*n(q) - x(q)?\nAnswer: -2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 19 = l, 5*l + 78 = 4*u + 3*l. Let s(k) = -k - 6. Suppose -5*m - 4*i = 38, 5 = -4*m + 5*i - 9. Let g be s(m). Solve -v + 5*v + u = g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 12) to base 13.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrghhmwf. Give prob of sequence hwfg.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8359275+-612093\nAnswer: -8971368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + sqrt(684) + -1*sqrt(684)*-1 + (-2 + sqrt(684) + 0)*-5))**2.\nAnswer: -4500*sqrt(19) + 154525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - -458. Round f to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140537\/81 + 1735. Let q = 31.4 - 20.1. Let m = -11 + q. Which is the third smallest value? (a) m (b) g (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1045 - 9*c + 351 + 343 + 351. Let b(j) = 261*j. Determine q(b(w)).\nAnswer: -2349*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 245 - 161. Let y be ((-7)\/7)\/((-3)\/9). Suppose y*a = -0*a + v. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -35*h**2. Let f(s) = -60*s - 65 + 37 + 28 - 34*s. Calculate p(f(i)).\nAnswer: -309260*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2293*w - 1.\nAnswer: 2293*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 5, n: 2, o: 3}. Give prob of picking 1 c and 2 n.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 84*s**2 - 58*s - 65. Is y(41) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 569*j - 1965. List the prime factors of y(6).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -165957*h. Let p(w) = 1115*w**2. What is p(k(g))?\nAnswer: 30709024321635*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*l - 2*l - l)*(-23 + 1 - 17) + 3*l - 33 + 9 - 2*l)*((-1 + 2*l + 1)*(-3*l**3 + 3*l**3 + 2*l**3) - 3*l + 3*l + 2*l**4).\nAnswer: -228*l**5 - 144*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - j + 3 + 0*j**4 - 3*j**2 + j**3 + 5*j**4 - 4*j**4 to f*j**4 + h + i*j + g*j**3 + a*j**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1806)\/(-12) - 4\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00523 * -4\nAnswer: 0.02092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159 + -156. What is the fourth smallest value in -2\/11, -3, x, -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*4\/(-40)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54.47 - 55. Let n = a - 0.47. Sort -5, n, -17, 0.1 in increasing order.\nAnswer: -17, -5, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226557 is divided by 84?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3454, -6966, -10478, -13990, -17502?\nAnswer: -21014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10)*40\/208*(-12)\/30?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 35 = -49. Suppose -3*j = q - 10, -2*q + 3*j + 11 = -9. Let u be q\/(-35) - 508\/(-14). Calculate the highest common factor of w and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1073*q + 2152. What is p(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/2 + 110335*c**3\/2 - 4035780711*c**2\/2 + 48113867936981*c\/2 + 15066462116636234 = 0. Calculate c.\nAnswer: -596, 36977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*f + 50, -f - 22 = -4*n + 23. Let b = -2 + n. Let g = 3881 + -3879. What is the lowest common multiple of b and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 5*z - 3. Let t be h(3). Suppose 5*i = 2*i + t. Let o(c) = 3*c + 84. Let s be o(-26). Solve -2*r = d - i, 0*r - r = d - s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54374340 divided by 3\nAnswer: -18124780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67.6 - 68. Let r = 263 + -264. Let p be ((-2)\/3)\/(12\/18). What is the nearest to r in v, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 88\/31, 0.27, -2, -10\/19?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 184656*a**3 - 6*a - 184665*a**3 + 51 + 38 in the form n + r*a + w*a**3 + z*a**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/658 + 190245\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095.424um in nanometers?\nAnswer: 2095424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 5*m**2 + 2. Let k be y(5). Suppose 5*p = 5, 2*p + 36226 = k*c - 105794. Suppose 1395011 = 4*d + c. What is d rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 6*f + 3. Let o(x) = 2*x**2 - 17*x + 8. Let j(w) = 11*a(w) - 4*o(w). What is j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 10 + 344*d - 134*d)*(-4*d + 4*d + d + 0*d - 2*d + 4*d + 1 - 1 - 2*d + (3 - 1 + 0)*(2 - 2 - 2*d)) as n + t*d + x*d**2 and give x.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*40*(-11)\/(-176)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**3 - 1653*r**2 + 2. Let z(d) = 17*d**3 + 3305*d**2 - 5. Determine -5*h(n) - 2*z(n).\nAnswer: n**3 + 1655*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120*w**2 + 1302963*w + 32574.\nAnswer: 3*(w + 10858)*(40*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165917 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p = 5*w - 6, -3*w - 14 = p. Let g be p\/((-2)\/7 - 0). What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + a**3 + 9*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2427487\/421 + 5766. Let u = y + -418\/1263. Which is the nearest to 2? (a) u (b) 5 (c) 20\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 189. Suppose 4 = j, -2*j + 19 = 2*i - 7. What is the greatest common factor of i and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 7:33 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (0 + 2)) + (-15 - -97 - -47)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40603 is divided by 376?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((440\/(-30))\/1)\/(3\/(-9)). Let k = q + -32. Suppose 4*w + 2*t = 212 + 52, t - 66 = -w. What is the remainder when w is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -25*t. Let j(m) = 27*m - 23. Let z(b) = 32*b - 35. Let n(p) = -3*j(p) + 2*z(p). What is x(n(i))?\nAnswer: 425*i + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 14. Suppose -22 = -5*r + b. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b49 - 2ee?\nAnswer: -e48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d - 12*d + 10*d - 5 as b + n*d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 - 39305*t - 5284826 = 0.\nAnswer: -134, 39439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*j - 3240 = 28*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0, -4, -65, 29.\nAnswer: -65, -4, 0, 29, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99.752 - -0.248. Let v = 104.7 - m. Let x = v - 5. Sort 5, x, -5 in decreasing order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374206 and 61894?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*(-1 - 127). Suppose 0 = -14*o + 4054 + 7001 - 6127. Calculate the greatest common factor of o and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-54)\/(-15) - 34\/(-10). Let i(w) = -29*w**2 - 6*w + 14*w**2 - f + 17*w**2 + 21. Does 18 divide i(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1455.552892 - 0.1936\nAnswer: 1455.359292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 644\/(-98) + 100608\/15344?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f + 30 = 0. Suppose 40*m = -31*m + 426. Suppose 4*o + m = f*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 + 1354*t\/9 - 1348\/3.\nAnswer: -2*(t - 674)*(t - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/2 - 4)*-2. Suppose -6*g = -b*g - 1014. Suppose -4*p = 3*m - g, -2*m - 3*p + 232 = p. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 12:17 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7*t*t*(t\/(t*t*t**(-2\/5))*t)\/t*(t*t**2\/t)**21 assuming t is positive.\nAnswer: t**(252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*z - 524 = 0, 2*z + 156 = -2*s - 190. Let w be (2\/6)\/((-8)\/s). Solve b + 2*n = w, -2 = -5*b + 2*n - n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i + 20. Let c be g(-5). What is the highest common divisor of 40 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/6 - -7*(-17)\/42. What is the smallest value in d, -3\/5, -0.33?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166 (base 16) in base 3?\nAnswer: 20002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 5557.5043.\nAnswer: -105592.5817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416250 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 13 + 3 - i**3 - 290*i + 292*i + 232*i**2 to the form d*i + p + x*i**2 + c*i**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*p - 5. Suppose -4*y = 4*l, 5*l + p = -y - 3*y. Suppose 0 = n + i + 3 - 13, -y*n + 22 = -2*i. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from putpdptdfdptfdl. What is prob of picking 1 p and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/12 (b) -88\/21 (c) 4\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161 by -384474.\nAnswer: 161\/384474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 2*l**2 + 9*l - 1. Determine p(6).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -4\/3*t**3 - 9 + 1\/4*t**4 - 2*t**2 + 10*t. What is the units digit of g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 0*y + 5\/4*y**4 + y**3 + 0 + 1\/4*y**2 + 1\/2*y**5 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10. Let x(v) = -6*v - 772. Give 5*k(s) + x(s).\nAnswer: -6*s - 722","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023 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: What is 49 minutes after 12:42 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81017449 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -99 - (1778 + -1705).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 5*q + q)*(-15*q**3 - 38*q**3 - 24*q**3) + 9*q**2 - 9*q**2 - q**4 to v + w*q + b*q**2 + i*q**4 + h*q**3 and give i.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 203 = -27*i. Let n be 265\/35 + i\/14. Let r(v) = -v**2 + 8*v + 8. Calculate r(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*w**2 + 6*w**2 + 2*w - 6*w**2 + 157*w**3 - 158*w**3 to u*w**2 + h*w**3 + i + m*w and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + w + 1. Let s be h(-1). Let i be (4\/6)\/(s\/(-12)). Let j(f) = f - 1. Let c(x) = -4*x + 3. Let l(t) = c(t) + 3*j(t). Determine l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = 5*n + 137. Let v = 36 + n. Let l be (v\/6)\/(18\/(-81)). What is the greatest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9786574 millilitres in litres?\nAnswer: 0.0009786574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s - 64 = 4*c, -5*c = 5*s - 95. Suppose 0 = 5*a + 4*v + 9 + 7, a + 5*v = -s. What is u in 67*u + a*u**3 - 1 - 2*u**3 - 5*u**2 - 71*u = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*w - 4*v, 4*w + 4*v + 0 = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -4521 and -0.8.\nAnswer: -4521.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1485 and 31398345?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 - 30*z - 54. Let q(u) = 2*u**2 - u + 1. Let f(y) = -2*q(y) - v(y). Calculate f(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -100. Let q = -68.31 + d. What is q rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.05 * 0.1\nAnswer: 1.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 u when three letters picked without replacement from ctsusgg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 2:39 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-10)\/20*6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 185.649 and 1.5.\nAnswer: 278.4735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 347469 and -0.148?\nAnswer: 347469.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -45, 3, 1, -1 in descending order.\nAnswer: 3, 1, 0, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24760 or -3368?\nAnswer: -24760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 975 - 980. Sort m, 20, -3 in increasing order.\nAnswer: m, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 - 110011111011?\nAnswer: -110011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*o - 4*o = 6, z + 3*o - 2 = 0. What is the third derivative of 6*a**z - 2*a**2 - a**5 + 4*a**5 wrt a?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -240 - -250. Solve 0 = 7*l - 5*l + b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14 from -15236.8.\nAnswer: -15222.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 33 - (1204 + -1185)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**3 - 2*z**2 + 187. Let m(r) = 5*r**3 - 3*r**2 + 188. What is -2*m(i) + 3*q(i)?\nAnswer: 2*i**3 + 185","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-1 - ((1 - 14) + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -587?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*0\/(4 - 6). Suppose -8 = -2*c, o*b = b + 4*c - 21. Suppose b*i - 258 = 372. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6620, 6626, 6634, 6644, 6656, 6670?\n\"Answer: x**2 + 3*x + 6616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 46*w**2 - 365*w - 1544. Determine o(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 + 52889530*t\/3 - 699325595905225\/3.\nAnswer: -(t - 26444765)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -7 - 10 - 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2073\/10 at least -208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.206?\nAnswer: 0.0206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 1 - 1 + (61 - 29 - 27 + (4 + 0 - 5)*(-7 + 3 + 3) - 3 + 1 + 3)*(3*x + 2 - 2) + (3 - 3 + 2*x)*(-1 + 4 - 1) to l*x + t and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 279 = 247 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c + 4. Let v(k) = 4*k + 4. Give 5*l(a) - 4*v(a).\nAnswer: 9*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -8\/15*h**6 + 0 + 4*h**2 + 4\/5*h**5 - 10\/3*h**3 + 2\/21*h**7 + 3*h + 2\/3*h**4. Factor f(z).\nAnswer: 4*(z - 2)*(z - 1)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0296 + 1.0872. Round y to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k + 1. Let z be (4\/6)\/((-7)\/(-42)). Calculate the remainder when y(z) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*n + 449*n - 69 = 50 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 5*b**2 - 6*b + 2. Suppose -20 = -s - 3*s. Suppose 4*v + s*y = 6, 3*v + 0*v = y + 14. Calculate m(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.986 - 0.054. Let m = 2 + g. Let s = 4305 + -4307. What is the third biggest value in m, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/418 and -41\/10.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 5*w**2 + 12*w - 2. Let g be a(-11). Suppose g = 4*u - 4*h, -220 = -5*u - 2*h + 485. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1593698, -2\/17, 2, -2 in descending order.\nAnswer: 2, 0, -2\/17, -2, -1593698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6667 and 3.6194?\nAnswer: -24130.5398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.5 - 10.6. Let z = 10.4 - 8. Let f = z - 0.4. Which is the third biggest value? (a) d (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 4*v - 3. Let t be f(5). Let b = -20 + t. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 196*q + 162*q + 314*q + 25 + 4. Is b(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 37 - 21. Let g(z) = 7*z - y*z - z. Let t(r) = -7*r. Give t(g(s)).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r**3 + 7*r**2 + 7*r - 7. Let u(h) = 3*h + 1. Let w be u(7). Let v = -43 + w. Let x(a) = -4 + 4 + 2 - a**2 - a - a**3 - 1. What is v*x(j) - 3*k(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 7*y - 6. Suppose -g - g + 13 = -3*t, 2*t + g + 11 = 0. Calculate o(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209 - -213. Suppose 33 = 3*b - v*g + g, -5*b + 3*g = -49. Solve -2 = 5*r + b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 + 16*w**2\/3.\nAnswer: -w**2*(w - 32)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(95)*-2*2*2)\/(((sqrt(50) - (sqrt(250) + -2*sqrt(250))\/sqrt(5)) + sqrt(50))\/(sqrt(1000)*2 + sqrt(1000) + sqrt(1000)))*-2.\nAnswer: 2560*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -40. Let b(q) be the third derivative of -1\/210*q**7 + 0*q**6 - q**2 + 0*q**z + 0*q + 0*q**4 + 0 - 1\/6*q**3. Differentiate b(t) with respect to t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23750 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*f**2 - 243*f**3 - 48*f**2 - 2 + 260*f**3 + 5.\nAnswer: 17*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10124 - 10124.1. What is the closest to -2 in -2, i, -4, -0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*56858.76.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + (-6 - 0 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/36677771 and -36\/143?\nAnswer: 403455481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -22*r + 1095. Let v be d(24). Calculate the greatest common factor of 119 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 7, i: 4, v: 7}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570 + 570 + 3256*y**2.\nAnswer: 3256*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1275\/(-680)*16*(1\/(-4))\/((-3)\/(-20))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + -2. Let m = p + 46. Solve -3*k = -m*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -6*k + 50. Let r(z) = -z**2 - 10*z. Suppose -5*o - 2*d = 37, 4*o = d - 53 + 13. What is the remainder when k is divided by r(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/3 - 164*l\/3 + 259424 = 0. Calculate l.\nAnswer: -968, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34*4*3\/24. Let x(u) be the first derivative of -20*u**3\/3 - 5*u**2\/2 - 3*u + 438. Let l(g) = -7*g**2 - 2*g - 1. Determine t*l(s) - 6*x(s).\nAnswer: s**2 - 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 20 = 4*c, 92*p + 10 = 95*p + 2*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.27 + 412.73. Let g = o + -413.0000447. Round g to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(102)*6)\/sqrt(6).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/150 + n**4\/10 + 28*n**3\/15 - 196*n**2\/15 + 616*n. Factor q(v).\nAnswer: -2*(v - 14)*(v - 2)*(v + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**5\/9 + 37*y**4\/9 - 12*y**3 + 125*y**2\/9 - 50*y\/9 = 0. What is y?\nAnswer: 0, 1, 5\/4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 56657?\nAnswer: -5665a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2 - 821*r + 814. Let y(j) = -33*j**2 - 5745*j + 5697. Let n(i) = -27*d(i) + 4*y(i). Factor n(b).\nAnswer: 3*(b - 270)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749\/5 less than 150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.07, -0.3368, 11?\nAnswer: -0.3368","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d - 1. Let w be 1\/(1 - (1 - 1)). Let o be w\/2 - 21\/14. Give k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuttctcuuttukuuqctq. Give prob of sequence uuut.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212417 - 714146047\/3362. Calculate the common denominator of s and 7\/22.\nAnswer: 36982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*n - 28. Let o(u) = 13*u**2 + 14*u - 13*u + 6*u**n. Let i(x) = x**3 + 2*x**2 + 2*x + 3. Let s be i(-2). Calculate o(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**3 + 235*x**2 + 1550*x + 2120 = 0.\nAnswer: -4, -2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0.318\nAnswer: 6.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 3. Let b be n(-4). Suppose 2*i + 4*x - 20 = 0, i - b + 23 = 5*x. Suppose i*u - 3*u + 4 = 0. Calculate the remainder when 7 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-g**2 + 4*g**2 - g**2) + 175*g**2 - 23*g**2 + 29*g**2.\nAnswer: 183*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 647736 and 1233.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -131318 minus 3679.31?\nAnswer: -134997.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213 + 113?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + 96. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ninety-five halves of a week?\nAnswer: 7980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -998, -3985, -8956, -15905, -24826, -35713, -48560?\nAnswer: -63361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102630*n**2 + 610637 wrt n?\nAnswer: 205260*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4190 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/12)\/((-2)\/(-12)). Suppose -b + m = t, -38 = -b - 3*b - t. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1610, -51, 192 in descending order.\nAnswer: 1610, 192, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + -1. Let x be (-2)\/9 + (-20)\/y. Solve 10 = -x*z + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 0*t**3 + t**3 + (13*t**3 - 19*t**2 + 19*t**2)*(2 - 2 + 1) + 2*t**3 + 2*t**3 - 3*t**3.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 22*b + 96. Let r be a(-25). Suppose 6 = 3*d + 3*s, 17*s - r*s - 20 = -3*d. Solve -5*n + 13 + 1 = -4*j, j - 7 = -d*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2940) - sqrt(60) - sqrt(960)*4)\/((sqrt(180)*1 - sqrt(5) - -1*(sqrt(15)\/sqrt(3) - sqrt(5)))*5).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**8*a**(5\/3)*a*a\/a**(-9)*a*a*a\/(a*a\/(a\/a**4))*a)**3 assuming a is positive.\nAnswer: a**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 14253315?\nAnswer: -14253330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45802 is divided by 3815?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59756471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2430 by 5.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*i = -127*i - 110*i + k - 10, -4*i = -k - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = -2*n. Let d = -9 + 13. Let g(f) = -d + f**n + 4. Let a(k) = -2*k**2. Calculate a(g(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90.9576 and 0.9.\nAnswer: -81.86184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) -3 (c) 0.04 (d) -18\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 5361230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5 = 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 - 21 + 2*g - 27 + (3 + 1 - 5)*(3 - 3 - g) + g + g - 4*g.\nAnswer: g - 83","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10486 and 196.\nAnswer: 20972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-135)\/(-20) + (-2)\/(-8). Solve -a - 7 = j, 8*j - 3*a - 13 = b*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 296 + 230 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2909928*s - 2968250?\nAnswer: 2909928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:27 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w - 54 = 4*a, 4*w - 100 = -4*a. What is the remainder when 16\/(-88) + 2842\/w is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.327028 - -0.07?\nAnswer: -0.257028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-39)\/(-36) + (-14)\/168)*7. Suppose -5*i + i + 112 = 0. Suppose -j - i = -g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 332150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 w when three letters picked without replacement from qqewqwwwwqwwqweqww.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/756 and -82\/777.\nAnswer: 27972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 476916563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/9 + 188*s**3\/9 + 3080*s**2\/9 - 450800*s\/9.\nAnswer: -2*s*(s - 70)**2*(s + 46)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -345 > 95.69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 243*q + 719. Calculate a(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -59*y + 10. What is the tens digit of q(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1920)\/800*(-10)\/28*784\/(-21).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvhhhhhhvvvvhfhvv. What is prob of picking 1 h and 1 f?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 612 + -618. Is 15 a factor of (-1080)\/(-48)*(-436)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**3 - 9423*h**2 - 29597643*h - 13362. Find r such that k(r) = 0.\nAnswer: -3141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/28*(-2 - -6). Let -4*j - j**x + j + 20*j = 0. Calculate j.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455) + (sqrt(4455) - -2*sqrt(4455)) + sqrt(55) + sqrt(220)\/sqrt(4)*1)\/(4*sqrt(44)\/(6*sqrt(64))).\nAnswer: 228*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -326*f**3 + 7*f**2 + f - 168. Let d(h) = -162*h**3 + 4*h**2 - 84. Let g(y) = -7*d(y) + 4*t(y). Find the second derivative of g(v) wrt v.\nAnswer: -1020*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.305627 rounded to one decimal place?\nAnswer: 124.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2110011556?\nAnswer: 2, 527502889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 9:17 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sosggsphssspgshg. Give prob of sequence pp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -1\/2*b**3 + 1\/2*b + 51 - 51*b**2 = 0.\nAnswer: -102, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/1486, 0, -13, -5\/4, -2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + a**2 + 0*a**2 + 32.\nAnswer: -2*a**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20201 (base 4) to base 8.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2943, 1, -5 in ascending order.\nAnswer: -5, 1, 2943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 10*z + 48.\nAnswer: -2*(z - 3)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640629 is divided by 73.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/27 and -131\/392316.\nAnswer: 3530844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1732 - -2698. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 87*u - 505. Let o be v(6). Solve b = o*b - 64 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 3*t + 1. Let i(r) = 2*r**2 + 2*r - 1. Suppose -14*o + 17*o = 9. Give o*i(u) + 2*a(u).\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5501767 divided by 5501767\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 1. Let a be b(0). Let r = -3.5 + -0.5. What is the nearest to -2\/7 in 4, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2051?\nAnswer: -1\/2051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -118 and 846.9382.\nAnswer: -99938.7076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -244*a - 1708. Calculate t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3112201 (base 4) to base 8.\nAnswer: 32641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/6*(-60)\/300.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - 3.7. Let o = -2 + y. Let l be 80\/(-45)*2\/8. Which is the smallest value? (a) -0.1 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (-4)\/((-16)\/12). Suppose -b = -2*u, 11 = q - 2*u - 1. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y - 291. Give q(68).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -36)\/(2\/(-15)). Suppose 0 = 3*m + 84 - b. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 111634 - 4.4\nAnswer: 111629.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9977603 is divided by 60839.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5195772 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 395039599*t**2 + t - 1197330107 wrt t.\nAnswer: 790079198*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/5, 3\/2, 2, -0.4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 4 - 9 - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:23 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*p**2 - 14*p + 2.\nAnswer: 2*(2*p - 1)*(5*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/1411 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 242\/129 - 52\/43. Sort 0.4, r, 1\/6, -0.2, 2 in decreasing order.\nAnswer: 2, r, 0.4, 1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 167, 182, 203, 230, 263, 302?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.42 - 0.5. Let o = -2.58 - h. Let w = o + 3. What is the second biggest value in -1\/5, w, -2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 32*a**4 + 5*a**2 + 4*a - 47. Let j(p) = p**4 + 5 - 3 + p**2 + 0 - 3 + p. Let h(s) = c(s) - 5*j(s). Find the second derivative of h(n) wrt n.\nAnswer: 324*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22994 > -22974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 - -88. Calculate the highest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Suppose -d*b = 5*q - 29, 5*q - 35 = 2*b - 7*b. Suppose 0 = p - q*p + 12. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1992825 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) + 57\/(-21) + 4. Suppose 0*l + o = l. Suppose 0 = -5*z - y + 9, -2*z - 3*y + l = -0*z. Solve -3*j = 4*b - 5, 3*b = j + 18 + z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73865 and 30178?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 7571130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171228928 and 1794.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {e: 1, d: 4, y: 1, r: 1, x: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-40) - (-5)\/(50\/18676) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*n = 6*z - 8, 0 = -5*n + 20. Let m be (24\/40)\/((-3)\/(-45)). Let d be 6\/m + (-264)\/126. Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1026745502*n**2 - 295829571?\nAnswer: 2053491004*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/8)\/((-3)\/(-36)). Let r = n - -15. Let t = -4 + r. Solve 3*q = -5*l + 21, t*q = -0*l + 4*l - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgggsspgsggsg. Give prob of picking 3 s.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658*f + 66 = 669*f. Solve -4*d = -f*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8835706 (base 10) in base 16?\nAnswer: -86d27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1244 (base 7) to base 6.\nAnswer: -2105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 15 = -16*k - 12*k + 32*k, 27*z + 199 = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from wwweewe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -c - 2*c. Let j(k) be the first derivative of 3 + 0*k**4 + 4\/5*k**5 - 3\/2*k**2 + c*k**3 + 0*k. What is the second derivative of j(h) wrt h?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 = 28. Suppose 2*u + 3*b - 21 = 0, -2*u - b = 3*u - 20. Suppose -u*y + 2*y = -27. Calculate the remainder when y is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + z**2 + 2*z. Let a(f) = -595*f**2 + 295*f**2 + 297*f**2. Determine a(p(y)).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - (17 + (14 - 33))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:06 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/26*845\/(-715)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 8. Let s be d(10). Suppose 0 = t - 4*q - 7, -2*t + 4 = -4*q + 2. What is the second biggest value in s, -3\/5, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/(-1640)*180)\/(99\/(-242))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 248, -3, 5, 3, 31, 14 in decreasing order.\nAnswer: 248, 31, 14, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0867 times -37?\nAnswer: -3.2079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17360?\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/178 - 47\/445. Let o = -251 + 1499\/6. What is the common denominator of p and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57231, 57244, 57257, 57270, 57283, 57296?\nAnswer: 57309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.9. Let u = -10 + 14. Let z be (u*(-2)\/6)\/(-10). Put z, -0.2, k in decreasing order.\nAnswer: z, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2236 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 707 - 521. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815998 is divided by 4340.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + m - 36 + 23 + m**2 + 21. Let i be h(-2). Find the second derivative of 65*q - 138*q - 6*q**i + 58*q - 9*q**2 wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from ossqezd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llp when three letters picked without replacement from qpqplpplqpppl.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 3*k**2 - 3*k - 2. Let l be (-50)\/14 - 33\/77. Calculate d(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 divided by 50?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 26. Sort 2, 11, r in increasing order.\nAnswer: r, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29b0 (base 16) to base 15\nAnswer: -3267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167 + 4009\/24. Let q(z) be the third derivative of 0 + 0*z**3 + 0*z**5 - z**2 - h*z**4 - 1\/60*z**6 + 0*z. Find the second derivative of q(n) wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.05 + 8.25. Let v = n - 7.1. What is the biggest value in -0.3, v, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529755007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61 and 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {m: 2, b: 1, i: 6, x: 3}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 168 - 170a?\nAnswer: -15a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*y**5 + c*y**3 + 2*c*y + c - 38*y**5 + 2*y**2 wrt y?\nAnswer: -120*c*y**2 + 6*c - 2280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 0*k**2 + k**4 + (2*k**3 - 2*k**2 + 2*k**2)*(-k - 1 + 1) - 30*k**4 - 23*k**4 - 49*k**4.\nAnswer: -103*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509 is divided by 259?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = 7*r - 16*f - 579576, 5*r = -2*f + 413988. What is r rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.086594 to four decimal places.\nAnswer: 0.0866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Let u be (-262)\/48 + d - -3. Let l = u - 5\/12. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*r - 4*r - 8 = 0, -i = -r - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70840?\nAnswer: 2, 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 2*t + 3*t**4 + 8 + 2*t**3 - 8*t + 8*t to n*t**3 + g*t**4 + f + b*t + s*t**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a47a4 (base 13) in base 15?\nAnswer: -2c7a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-289675099*x**2 + 289675073*x**2 - 69*x**3 - 24*x**3)*(-2 + 2 + 2*x) in the form b*x**2 + k*x**3 + u*x + z + y*x**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**4\/4 + 11*n**3\/6 - n**2. Is l(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 3*c**2 + 2*c - 5. Suppose 18*q - 32 - 40 = 0. What is the units digit of y(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 33*8\/24)*(-4441)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 3. Let s(b) = -3*b - 3. Calculate -5*o(l) + 4*s(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.5, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -2, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 811 and 3304.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 2*i**2 - i - 2. Suppose -15*t = -97 + 112. Calculate h(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.05, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -189 + 219. Put -3, -1, i, 4 in decreasing order.\nAnswer: i, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 13. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 976137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-33708)\/(-32))\/53 - (12\/32)\/(-3)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*j**3)*(0*j + 2*j**2 + 0*j) + 148487*j**4 + 5 + 3*j**5 - 148487*j**4 - 43*j + 0*j**5 + 2*j**5 - 5*j**5.\nAnswer: -4*j**5 - 43*j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 11*v**2. Let a(k) = 11*k. Give a(i(r)).\nAnswer: 121*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**3\/3 + 9*l - 12. Let x(j) = -82*j**2. Calculate t(x(o)).\nAnswer: -164*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjyotmy. Give prob of sequence ojm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxpxp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 equal to -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -252, -258, -264, -270, -276?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Let r(o) = 1079240*o**3 - 2*o**2 + 3*o - 1. Let n be r(h). Let g = n - -3666083. Round g to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-9 + (3 + -2 - -9))) + -12\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 92744202 divided by -2?\nAnswer: -46372101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 20 = 5*b. Let h be (b\/(-4) + 0\/(-1))*6. Solve 4\/17*w**2 - 2\/17*w - 4\/17 + 2\/17*w**h = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 21*a - 39. Determine q(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2994723 is divided by 1404?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -3, 1.6, -5, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = 8*d. Let n(f) = d + 13*f**2 - 3*f + 5*f + 3*f - 7*f. Let t = 21 - 20. Calculate n(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**3 - y**3 - 561*y + 37 + 44 + 560*y to the form h*y + j*y**2 + f + l*y**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7115, 13497, 19879, 26261, 32643?\nAnswer: 39025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 19*s**2 - 89*s + 69.\nAnswer: (s - 3)*(s - 1)*(s + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10261 + 205157\/20. Let x = 1663 - 26619\/16. What is the common denominator of x and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*u - 8 + 2, -3*u = 3*l - 27. Let s be (-2)\/24*4 - 14\/(-6). Suppose 37 = s*p + 19. What is the least common multiple of p and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.491981*38.\nAnswer: -170.695278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 206 + 49. What are the prime factors of v?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 8*t**2 - 14*t - 9. Give i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 89b (base 15) to base 2\nAnswer: 11110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 3*g**2 + 11*g - 5. Let s be q(-6). Suppose s = 4*h + 4*w + w, w - 14 = -3*h. Solve -6*j + 3*j = h*z + 6, 4*j + 35 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.042468mm?\nAnswer: 0.006042468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 + 0. Let b = a - 1.700048. What is b rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 167*r**2 + r + 2. Let z be s(1). Suppose 0 = -19*b + 24*b - z. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {s: 1, v: 1, k: 7}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -139, -36, 555, 1880, 4185, 7716, 12719?\n\"Answer: 41*s**3 - 2*s**2 - 178*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 - 3*b. Calculate h(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148178336 is divided by 2109?\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -21*g + 94. Solve 5*l + g = -2*y + 3*y, 3*y - 3 = -3*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 326178.6287 to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 6*u**2 - u + 8. Let f(d) = -d**2 - 7*d - 4. Let k be f(-5). Calculate the least common multiple of 3 and o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-40)*(-16)\/(-12). Solve q*t = 5*k + 16 + 5, -2*t - 9 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - -1.98. Let r = -718 - -713.41. Let u = -6.59 - r. What is the smallest value in g, -1, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -20. Suppose 4*c - 28 = -4*l, -11*c = -6*c + 3*l - 33. What is the greatest common divisor of m and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*z**5 - 62079*z**3 - 4306698*z**2 wrt z?\nAnswer: -300*z**2 - 372474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, y: 3, g: 5}. Give prob of sequence gggg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) + (-13)\/(-3). Suppose -2*h = -0*h - 80. Suppose 2*k + 0*k - 10 = 0, h = 5*j + g*k. Sort j, 4, -0.2 in increasing order.\nAnswer: -0.2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26111486 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 136\/20)\/(-12 - (-121)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2.3673\nAnswer: -3.3673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w + 2. Let r be 2 + 12\/28 + 9\/(-21). Let u(t) = 29*t - 9. What is r*u(i) + 9*k(i)?\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.014, -1, -580480?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744040 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t. Let g(k) = 16618*k**2. Give m(g(c)).\nAnswer: -116326*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 - -99.5. Suppose -4*q - 9 = -3*i, -7 - 8 = -5*i - 3*q. Which is the third smallest value? (a) x (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1230 = 34*x - 51*x + 27*x. What is the remainder when 604 is divided by x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*v**4 - 5*v**3 - 177*v**2.\nAnswer: -648*v - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -312 - -313. Let m be c\/((-7)\/(-822)) - (-51)\/(-119). Suppose -5*q + 15 = -10, 2*r + 5*q = 103. Calculate the greatest common divisor of r and m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -940 + 935. What is the hundreds digit of t\/((-1339)\/223 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - (13 - 16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 202100212 (base 3) to base 13\nAnswer: 69b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3468, -2784, -2072, -1320, -516, 352, 1296, 2328?\n\"Answer: 2*h**3 + 2*h**2 + 664*h - 4136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 14*c**2 + 13*c + 13. Let f be p(8). Let u(j) = 2*j**2 + 25*j + 24. Calculate u(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (6 - -4 - 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 13.07. Let v = d - -0.23. Which is the second smallest value? (a) 4 (b) 2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Let l = -1 + o. Let w = l - 1.99999994. Round w to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6067229 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from wzwjjrar.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -31. Let k = -4 + 0. What is the remainder when s is divided by (k\/(-5))\/(-1)*-20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*b = -145, 10*i + b + 145 = 15*i. Let m = i - 23. What is the smallest common multiple of m and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = w - 2, 3*w + 3*z = 2*w + 2. Suppose 23 = -w*g + 1. Let m(v) = 5*v**2 - 17*v - 14. Let f(h) = 2*h**2 - 6*h - 5. What is g*f(p) + 4*m(p)?\nAnswer: -2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105467 or -105466?\nAnswer: -105467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 36*p**2 - 68*p + 80. Let h be v(34). Let u be 15\/(-1)*h\/(-30). Calculate the highest common factor of 100 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d - 3*m - 21, 4*d - 32 = 5*m. What is the greatest common divisor of d and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741 is divided by 243.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*m**5*r + 27*m**4 - 2*m**3 + 9*m*r + 11*r - 7 wrt m?\nAnswer: -400*m**3*r + 324*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4250 + -4215. Suppose -3*z + 150 = 3*i, -2*z + 20 = 3*i - 130. What is the least common multiple of i and t?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-10) - (0 - (3 + 1)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72434.67nm in centimeters?\nAnswer: 0.007243467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6023*a - 117270 + 1734 = 1209*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -390 - -550. Suppose 2*y - 3*q = -64, 3*q - j = 3*y + 2*y. What is the units digit of ((-18)\/8)\/(8\/y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -15, -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59783573 rounded to the nearest one hundred thousand?\nAnswer: 59800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81608 - -18.5.\nAnswer: 81626.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s - 18. Let a(d) = -d - 6. Calculate -10*a(r) + 3*i(r).\nAnswer: -2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1310 and 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 41116\/(-19) + -1 + 5. Let x = p - -4250. What is x rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen halves of a century in years?\nAnswer: 950","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 266 (base 7) in base 16?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 8*d**2 + d + 2. Let y be b(-8). Let f be (0 + 2)\/(y\/12). Let q(z) = -10*z - 17. What is the units digit of q(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381949307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5313307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 29*g - 33. Sort g, -26, -2, 1 in ascending order.\nAnswer: -26, -2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 2, 86, 80, 0 in decreasing order.\nAnswer: 86, 80, 6, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 15*d + 2 = 0, -6 - 3 = -f - 3*d - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -31 + 193. What is the remainder when 3\/(-2 + 3) + n + -2 is divided by (20\/6)\/(3\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25082bb - -3?\nAnswer: 25082be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 15 + 9. Let l(b) = b**3 + 7*b**2 - 8*b + 10. Let o be l(u). What is the units digit of (-6 - -4)\/((-4)\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 43921\nAnswer: -10\/43921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by -7.\nAnswer: 103\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*a**2*o**4 - 31508*a**2*o**3 + 12120*a**2*o + 10*a**2 - 3*a*o**2 - 2*o**2 wrt o?\nAnswer: -912*a**2*o - 189048*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19882 - 42329. Let n = 32147 + j. Round n to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 1. Let p(z) = -5*z - 2. Let q(i) = 9*i + 2. Let a(u) = -5*p(u) - 3*q(u). Let j(d) = a(d) + 3*x(d). Determine j(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let b(y) = -35*y. Let m(t) = 6*b(t) - 110*x(t). Let g be m(-3). Let s be (-26)\/10 + 12\/g. Put s, 4, 2 in increasing order.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38764868, 38764867, 38764866, 38764865, 38764864, 38764863?\nAnswer: 38764862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-7)*(-672)\/384*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 47449*g - 1. Let y(v) = 13*v. Determine y(r(l)).\nAnswer: 616837*l - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t + 24 = a + 15*t, 0 = -5*a - 4*t + 139. Suppose 2*i + 3*w - 5*w - 4 = 0, -3*w = -5*i + 18. Calculate the smallest common multiple of a and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35722?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suyyyelsylslyssu. Give prob of sequence yll.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22\/9 (b) 5 (c) 2\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**2\/2 - 7*z - 10. Let x be n(-8). Suppose x + 10*t - 8 - 1 - 4 - 2*t**2 = 0. Calculate t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 - 84. Let p = -7 - f. Let r = -47.63 - p. Which is the second biggest value? (a) 1\/5 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34592989405 and -0.4?\nAnswer: 34592989405.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t*t**0\/t*t)\/t))**(-33\/7)\/(t**3\/t*(t\/t**0)\/t)*((t*t**2)\/t**(-1\/4))\/((t\/t**2*t*t)\/t**(-2\/11)) assuming t is positive.\nAnswer: t**(3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(((sqrt(66) - ((sqrt(66) + sqrt(66) + (sqrt(66) - (sqrt(66)*1 - sqrt(66))) - sqrt(66)) + sqrt(66)))*-5)\/sqrt(6))**2.\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.6 and -33275.\nAnswer: 319440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/8*43\/(-645)*3\/2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 17 - 2. Let q = -8.25 - -4.12. Let o = 3.93 + q. Which is the nearest to -1? (a) -2 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218 or 244?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -5987, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110033512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*z - 130*z - 415. Let w = 37 + z. Calculate the least common multiple of w and 165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192463.\nAnswer: 192463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:03 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(1\/204). Let b = -15 - -19. Let g be (-1)\/b - y\/(-24). Solve -g = k + k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19596, -79296, -178794, -318090, -497184, -716076, -974766?\n\"Answer: -19899*l**2 - 3*l + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -338 - -343. Solve -y*w = 4*c, -4*c + 16 = w - 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2915.489 micrograms?\nAnswer: 0.000002915489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {r: 2, n: 5, y: 2, q: 3, d: 1, x: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 + -0.13. Let m = 0.1 - l. Suppose 1 = 5*h - 9. Which is bigger: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4239.127 micrometers to nanometers.\nAnswer: 4239127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 52 = -2*j, 4*j + 36 = 2*r + 2*j. Let y = r + -16. Let m(t) = y*t**2 + 0*t**3 + 3*t**3 - 2*t**3 + 3*t. Give m(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 - 11. Let i be (l\/12)\/2 - 1\/3. Find a, given that 8\/17*a**i + 2\/17 + 4\/17*a - 14\/17*a**2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 2*m - 2. Let s(n) = 3*n - 3. Let f = -520 - -517. Let h be ((-3)\/(-3) - f)*(-24)\/32. Calculate h*a(d) + 2*s(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*((4 + 2 + sqrt(1900))*-5 - (-5 + -4 + sqrt(1900) + -1))*-5)**2.\nAnswer: 2156400*sqrt(19) + 61918801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/9, -7770, 3.2, 4\/5?\nAnswer: -7770","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*(sqrt(70) - (sqrt(70) + -1*sqrt(70))))\/sqrt(10).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**2 + 14*f**2 + 20*f**2 + 293*f**2 + 18*f**2 - 348*f**2.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7339\/293 - 754\/58) + -12. Are l and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 46. What is the second biggest value in 4\/7, -0.08, u?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 25*x. Let r(k) = k + 5*k - 2*k - 3*k. Calculate r(b(v)).\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 5.5. Let w = 19997 + -19996. Which is the closest to 0.1? (a) p (b) w (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f. Let s(p) be the third derivative of -2173*p**4\/24 - 7*p**2 + 23. Calculate g(s(q)).\nAnswer: 4346*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2667 - -3690. What are the prime factors of h?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -259547*k**5 - 30*k**2 + 259746*k**5 - 39*k**2 wrt k.\nAnswer: 11940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(2\/47)\/r))\/r)\/r**(-12\/13))\/((r*r*r*r*r\/(r*r\/(r\/(r\/(r*r*r**5*r*r*r)*r))))\/(r\/(r*r**(-1\/17)))) assuming r is positive.\nAnswer: r**(-104500\/10387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55419 divided by -87?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 - 5*b**2 + 35*b - 16. Calculate the remainder when w(-5) is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163 + 188. Suppose -s - b = -551. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5797*r**4 - 5*r**2 - 51677.\nAnswer: -23188*r**3 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2093*m + 966*m - 892*m - 1072*m.\nAnswer: -3091*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5199*r - 2580*r - 2602*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - 1226959*r + r**2 + 1226959*r.\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.22772l to millilitres.\nAnswer: 24227.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r + 3. Let q be (-3)\/(-2) + -8 + (-126)\/(-12). What is v(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -9379*g**6\/120 + 1368*g**3 + 5437*g**2. What is the derivative of s(o) wrt o?\nAnswer: -28137*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-1 + 1) - (135 - (149 + 6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - (-43 + 34) - 77?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from blwhh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 0*j**2 - 7*j**2 - 4*j - 2*j**2 + j**2 = 0?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 9:27 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 0.22, 20086?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*x - 56577 = -718*x - 12837 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -28. Let j(x) = x**2 - 5*x - 7. What is the remainder when m is divided by j(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 4) in base 2?\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, -5, -0.11, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3241365, -6482763, -9724161, -12965559, -16206957, -19448355?\nAnswer: -22689753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*x - 3120 = 73*x. Let s be 6\/((-4)\/2) - 256. Let u = s + x. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5\/2 + 343*q**4\/4 - 16539*q**3\/4 + 39166*q**2 - 95360*q + 38400 = 0.\nAnswer: 1\/2, 3, 8, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 655.56741 - 866.961912. Let z = -21.602888 + j. Let o = -233 - z. What is o rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-5\/9)\/z*z)\/z*z*z*z*z**(-29)\/z)**(1\/5) assuming z is positive.\nAnswer: z**(-248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-35)*(3 - (-271)\/(-2)). Let o = -104 + q. Let f(h) = h**2 + h - 2. Let b be f(2). Solve o*i - b = -4*z, 0*z - i + 2 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355, 742, 1347, 2164, 3187?\nAnswer: 4410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32\/13 in 0.5, 0.1, 1\/13, 3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -51.07 (b) -2\/15 (c) -2\/7 (d) 3\/64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -1 - 1*6\/(-2) and (-217)\/(-21) + ((-6)\/9)\/(2 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156*q*v**4 + 16*q*v**3 + 90*q*v**2 + 2*v**4 - 9*v**2 wrt v.\nAnswer: 3744*q*v + 96*q + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -215*y**2 + 17*y + 145*y**2 - 32*y + 9*y - 217*y**2 in the form m + x*y**2 + f*y and give x.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1386?\nAnswer: 5\/1386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4*c - 156, 2*a + 16 - 118 = 4*c. Differentiate -27*m**4 + 11 + a*m**4 - 4*m**3 + 4*m**3 with respect to m.\nAnswer: 64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/(r\/((r\/(r\/(r\/(r*r\/(r\/(r**(1\/9)\/r))))*r))\/r)))**29*(r\/r**8*r**(-2\/15))\/(((r\/(r*r**5\/r*r))\/r)\/(r*r**7)) assuming r is positive.\nAnswer: r**(6689\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2\/5 + 7661*u\/5 - 4797426\/5 = 0.\nAnswer: -8243, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-3)\/(-2) - -27. Let m = 20 - -13. Let v = u - m. Let z(p) = -2*p**2 + 5*p. Let o(w) = -5*w**2 + 14*w. Give v*o(c) + 8*z(c).\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**7\/168 - a**6\/60 - a**5\/120 + 7*a**3\/3 + 2. Let x(r) be the third derivative of l(r). Find f such that x(f) = 0.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/24)\/((-190)\/(-24) - 8). Solve b*p - 13*p = 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101)\/6161 - (-2057)\/(-1037)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455397 + -27.939?\nAnswer: 455369.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19483, 38966, 58449, 77932, 97415, 116898?\n\"Answer: 19483*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89337 and 771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.8 + 18.8. Which is the nearest to -1\/3? (a) z (b) 3\/7 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218440 divided by -5.\nAnswer: -43688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/30 + -2\/15. Let z = -7.968 - -8.068. Let h be 2\/1*(-2)\/20. Which is the closest to m? (a) 3 (b) z (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (23734\/44 - -2). Let x(a) = 2*a**3 - 2*a**2 + 6*a - 2. Let j be x(-6). Let p = j - o. What is the common denominator of -33\/20 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 6. Let b(k) = -k**3 + 6*k**2 + k - 8. Let m be b(z). Which is greater: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 + -85. Let j = 2571\/31 - 83. Sort 3, g, j in decreasing order.\nAnswer: 3, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/9053480 and -13\/9053480.\nAnswer: 9053480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.263971 - 16948.129.\nAnswer: -16948.392971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*r**2 + 2 - 2 + 723*r**3 - 746*r**3 wrt r.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3035*h**3 - 3034*h**3 - h**2 + 1 - h**2 + 6*h + h**2. Let x(p) = -p**3 + p**2 - 5*p - 1. Determine -3*o(j) - 4*x(j).\nAnswer: j**3 - j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 26548536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - l + 83 = -0*l, -2*w + 2*l + 50 = 0. Let i = w + 1. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2120 = -2*p + 5*p, 0 = -p - 4*n + 690. Let h = p - 301. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 6:44 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.28409404 - -0.2841. Round f to 7 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 + 13*k + 3. Let u(d) = -6*d**2 + 24*d + 5. Determine -11*f(l) + 6*u(l).\nAnswer: -3*l**2 + l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 29 (b) 0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozoz when four letters picked without replacement from oozzo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/4 + (-11265)\/30 + (-2 - 0). Let b be 2\/2*(-163)\/1. Let k = b - x. What are the prime factors of k?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -2120043405?\nAnswer: 2120043354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -147*u**6\/10 + 55*u**3 - 266*u. Find the second derivative of b(z) wrt z.\nAnswer: -5292*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j**2 + 2*j + 2. Let d(l) = l**3 - l**2 - l + 1. Let b(c) = -2*d(c) + r(c). Let m(s) = -6*s**3 - 14*s**2 + 12*s. What is -14*b(n) + 5*m(n)?\nAnswer: -2*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w - 10, -4*m = 3*w - 6. Suppose 2\/5*b**2 - 2\/5*b**m - 2\/5*b**4 + 2\/5*b + 0 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -268 - -270. Let g(a) be the first derivative of 3\/4*a**4 + 3\/2*a**2 - s*a**3 - 7 + 0*a. Factor g(m).\nAnswer: 3*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(1 + 2\/(-1)). Suppose 0 = -2*l + 5 + p, 5*l - 20 = -3*g. Suppose g = -2*d + 24 - 2. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 7453*j + 186945. Determine h(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.227 + 22.227. Which is the smallest value? (a) 2\/3 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/2 of a day?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 109*u**3 + 4*u + 6. Let m(c) = -c**3 - c. Let o(l) = -4*m(l) - t(l). Differentiate o(j) with respect to j.\nAnswer: -315*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 2*z**3 + 4*z**3 + (17*z - 4*z + 11*z)*(7*z**2 + 158*z - 158*z) as v*z**2 + f*z**3 + b + k*z and give f.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150*a**4 - 32*a**4 + 27*a**4 + (-4*a**3 - 3*a**3 + 5*a**3)*(-2 - a + 2) + (-8*a - 54*a - 8*a)*(0*a**3 - 3*a**3 + 4*a**3))*(-3*a - 3*a + 5*a).\nAnswer: 223*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2826682871?\nAnswer: 17, 337, 493399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 50*y**2 - 2 - 110*y**2 + 74*y**2.\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4085 in -2\/11, -116, -0.01?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -5, -138\/13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15759?\nAnswer: 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 10) to base 4\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 342 = 1023. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-1))\/((-15748)\/(-254))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 11, 0, -13 in decreasing order.\nAnswer: 11, 0, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2468938 or 0.2?\nAnswer: -2468938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4 = -2*v, -v + 3*c + 210 = 205 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/z**(1\/11)*z*z*z*z**(2\/21)*z*z*z)\/(z*z*z**(-15)*z**(-3\/7)) assuming z is positive.\nAnswer: z**(5182\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-144)\/(-76) + 4\/152*4. Let j(q) = q**2 - q + 1. Let k be j(-4). Let y be k\/15 - 2\/5. What is the second biggest value in 2\/3, 1\/4, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303 (base 6) to base 13.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b + 44. Let t be x(0). Let g = -38 + t. Find the third derivative of -19*n**6 - 9*n**2 - 3*n**2 - 2*n**g wrt n.\nAnswer: -2520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -6435\nAnswer: 5791.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(847) + -3)**2*-3 - 3*(-2*sqrt(847))**2).\nAnswer: -63660 + 990*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13896 is divided by 13890.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u**2 + 128*u - 1362. What is r(8)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105145 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 + -157. Let t(y) = 6*y**3 - 3*y**2 + 5*y - 5. What are the prime factors of t(b)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2131314057?\nAnswer: 3, 236812673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27385693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwwpwowiwbwbqbppow. Give prob of picking 1 q and 1 p.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3839 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006184591 to 7 decimal places.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 1, p: 9, y: 2}. Give prob of sequence fey.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.93 in 0, -0.9, 0.4, -78\/17, 2\/9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -859891759 rounded to the nearest one million?\nAnswer: -860000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = -21*k + 39. Suppose -8*i + k*i - 60 = 0. Find the second derivative of -6*n - 4*n - i*n + 9*n**4 + 3*n wrt n.\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118400.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1. Let y(i) = i - 11. Give -4*b(p) + y(p).\nAnswer: p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 273 and 2535?\nAnswer: 17745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 229752741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 + 0.15. Let w = 4 + -4.3. Which is the closest to -1\/2? (a) w (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 0, d + 6*h - 263 = 3*h. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from imkkcmcicccii?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000051607 to 6 decimal places.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50505718, 101011440, 151517162?\nAnswer: 202022884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.652, -23, -2\/11?\nAnswer: 1.652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*m - 122*a + 123*a, 5*m = 5*a - 10. Let t = 64\/25 + 16\/25. Which is bigger: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/(-78)*-6)\/((-5)\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.2945 and 3?\nAnswer: 6.2945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 0.1 (c) 437\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 14, -0.05, -57, -2, -23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {i: 1, w: 3, n: 1, e: 10, m: 2, p: 2}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecnoewjo. What is prob of sequence woe?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 - 24\/(-10). Suppose -2*n + 0*u - a*u = 1430, 4*n - 3*u = -2825. Round n to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006992745 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 3. Let o(w) = -w**2 + 7. Suppose 0*k + 3*k - 15 = 0. Give k*y(b) - 2*o(b).\nAnswer: -3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 15123*i**2\/2 - 1019773*i + 206295769\/6 = 0. What is i?\nAnswer: 14363\/213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 9*c**2 - 41*c - 79. What is r(-12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*x**4\/4 - 70674549*x**3\/4 + 25359727*x**2\/2 + 5820261*x - 831466 = 0. What is x?\nAnswer: -831466, -2\/5, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4830 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: Factor t**2 + 181*t - 16*t + 32 - 172 - 194.\nAnswer: (t - 2)*(t + 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:56 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 3)*(-2*h - 3 + 3) - 2*h + 0*h + h)*(5*h + h + 0*h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 + 184 = -2*l + 5*z, -4*l + 16 = 4*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, h: 5}. Give prob of sequence hn.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/120 - x**5\/20 + x**3\/2 - 2*x**2 - 234*x. Calculate p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2415, 10862, 24963, 44736, 70199, 101370, 138267?\n\"Answer: 3*x**3 + 2809*x**2 - x - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76\/190 + 42\/(-5). What is the least common multiple of 24 and (-226)\/k - (-210)\/(-168)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524739?\nAnswer: 7, 19, 41, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -79060, -79064, -79070, -79078, -79088, -79100?\n\"Answer: -q**2 - q - 79058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6 and (-39 - -9)*(-4)\/54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 79, 116?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-14)*r*r*r*r**5)\/(r**(1\/6))**(-18))**(-1\/61) assuming r is positive.\nAnswer: r**(3\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17239987 and 920.3?\nAnswer: 17239066.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8904 (base 11) to base 14\nAnswer: -43c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 - z - 1. Let u(t) = -192*t**2 - 5*t - 136. Let v(r) = 5*d(r) - u(r). Differentiate v(g) with respect to g.\nAnswer: 364*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 + -1.83. Are q and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/8 - 5*s**2\/2 - 3*s. Let h(m) be the first derivative of l(m). Let q(c) = -2*c**2. Determine h(q(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 648261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*y**2 - 2)*(4 - 5 + 3 + 2*y**2) + (y**3 - 4*y**3 + 0*y**3)*(2118 - 2118 - 3212*y).\nAnswer: 9642*y**4 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2644 - 1426. List the prime factors of v.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011111111100111 (base 2) to base 13.\nAnswer: 19490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 3*z - 171 + 171. Suppose 5*r - 14 = 11. Let n(b) = 9*b + 1. Calculate r*a(p) + 2*n(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*b**3 + 270*b**3 + 1871*b**3 + 343*b**3.\nAnswer: 2709*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.9 and -0.2?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*4\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, e: 7}. Give prob of picking 4 e.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -102, -211, -318, -423?\n\"Answer: m**2 - 112*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4, -3*b + 3188 = -5*i + 23302. Let c = b + 181048\/27. Let w = -9\/1981 + -215767\/35658. Find the common denominator of c and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -993. List the prime factors of d.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -435.42 - -0.42. Let q = m + 433. What is the closest to -0.1 in q, -1\/4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 34\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*s + 423*s + 465*s - 1499*s + 464*s.\nAnswer: 337*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16963 = 21*g - 17761 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*k**2 - k**2 + 39*k**2.\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 5*x + 4*x + (x + 3*x - 5*x)*(4 + 0 - 6) to the form z + y*x and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4140 divided by 20?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269.8579 hours to nanoseconds.\nAnswer: 971488440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21186189 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*y - 10 + 24, 0 = 2*q + y - 6. Let h(c) = -55*c - q - 10*c - 16*c. List the prime factors of h(-2).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 4*f**2 - 5*f. Let b = 152 - 156. Calculate r(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5120*w**2 - 12528*w**3 + 16214*w**3 - 13661*w**3 - 18457*w**2 wrt w?\nAnswer: -59850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/((-8)\/2)*58\/(-116)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 650*-176\nAnswer: -114400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**4 + 1973*k**3 - 177*k**2 + 53*k wrt k.\nAnswer: -48*k + 11838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2 - 17822*g + 17819*g + 2. Let d(j) = 15*j. What is k(d(l))?\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -63, -13, 1, 2 in decreasing order.\nAnswer: 2, 1, 0, -7, -13, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 11 = -36. Let u = f - -107. Let y be (-32)\/4 + -3 + 31. Calculate the greatest common factor of u and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2598140 divided by -17555?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 0 (c) -6\/121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*n + 6517 = 750*n - 958 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -68. Let j(l) = -20*l**3 - 11. Let i(m) = 7*m**3 + 4. Calculate b*j(c) - 17*i(c).\nAnswer: c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15036 and 756.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1723*v - 53390. Calculate l(-31).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2045 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/75*((-235)\/(-25) - 10).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -35*d. Calculate k(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 79 = -8*b - 115, -a + 13 = -3*b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 12. Suppose k*v + 0*v = 10. Calculate the lowest common multiple of 3 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3681?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 292303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-60)*-6)\/(1\/(-5)). Suppose 3*u - g - 8 = 0, u + g - n = -0*u. Suppose -3*d - 8 = -4*f, 0 = 2*f + u*d - 0 - 4. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 0.02235, -277\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-9))\/((4\/15)\/2). Let v(r) = 3*r. Let t(u) = -2*u. Give l*t(a) - 3*v(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**2. Let f(x) = -795*x**2. What is b(f(d))?\nAnswer: 4424175*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 441*m**3 + 353*m**2 wrt m?\nAnswer: 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - 43) + (-4)\/36*-423.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/(2\/32). Which is the third smallest value? (a) j (b) 3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2268 and -0.5.\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvg when three letters picked without replacement from gydiv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 18. Let x be h(-16). What is the closest to 0.2 in -1\/3, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17127.\nAnswer: 3, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 39 - 9. Suppose 3*s + z = -2. Let n = -4511 + 4511.3. Sort s, n, 0.1.\nAnswer: s, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 28. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*580\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 432902023 to the nearest integer?\nAnswer: 20806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 34\/8 + (0 - 1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5122 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in -12, 4\/3, 49?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -36*n**4 - 199*n**3 - 401*n**2 - 7*n + 7. Let q(b) = 10*b**4 + 66*b**3 + 134*b**2 + 2*b - 2. Let v(o) = -2*i(o) - 7*q(o). Factor v(y).\nAnswer: 2*y**2*(y - 34)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1246*y - 25*y**2 - 2446*y + 1200*y.\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-21))\/(1\/18)*9002\/3858.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 178, 634, 1512, 2950, 5086, 8058, 12004?\nAnswer: 17062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/21 - 50*i**2\/21 + 8*i\/3 + 104\/21.\nAnswer: -2*(i - 2)*(i + 1)*(i + 26)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -971 >= -1941\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2735716 + s**2 - 398*s - 369*s + 553*s + 1946*s + 1576*s.\nAnswer: (s + 1654)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**2\/2 - 5*k - 2. Let v be a(9). Let p(y) = -2*y - 2*y + 2*y + v*y. Let w(x) = x**2. Calculate w(p(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3112960 by -778240.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 + 18)*(-6 + 4 + 3)*(2230 - 2230 - 74*p).\nAnswer: -1924*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36452555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 46*f**3 + 3*f**2 - 2*f**2 + 4*f - 7*f.\nAnswer: 46*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*y, -5*y + 15 - 49 = 4*g. Calculate the common denominator of -35\/9 and (-62)\/60 + g\/66.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/15 + (-612)\/(-850).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 3*d + 0 - 2\/3*d**2 - 1\/9*d**3 + 1\/18*d**4. Find n, given that w(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*z - 29*z - 42*z - 36*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 24, 36, 44, 42, 24, -16, -84?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + -1. Let q(t) = -4*t**2 - 6*t + 7. Let w(u) = -3*u**2 - 5*u + 6. Determine y*q(x) + 7*w(x).\nAnswer: 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 4\/7660001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -568893*t**2. Let m(x) = 15*x. Determine q(m(d)).\nAnswer: -128000925*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 3509 and 3468 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyyp when four letters picked without replacement from {p: 3, y: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, -104, -239, -428?\n\"Answer: -27*a**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(29\/58).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = -2*k + i, 13*i + 18*i + 82 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.6? (a) -3 (b) -434 (c) -17 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 15. Let c be (1 - 1) + (-18)\/(-2). Calculate the smallest common multiple of g(c) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0*a**4 + 0*a**6 + 0 + 0*a**2 + 1\/42*a**7 - 2\/3*a**3 - 3*a + 0*a**5. Find the second derivative of r(p) wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 822336 and 534.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 549\/1443 - 1077\/(-13283).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2356812445?\nAnswer: 5, 13, 36258653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5*(sqrt(980) - -1*sqrt(980))*2 - (3 + sqrt(980) + 0 + sqrt(980))*2) + -2)**2.\nAnswer: 7392*sqrt(5) + 564601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - 3*o + o**2 + (1 - 2*o - 1)*(56 + 81*o - 193*o + 163 + 89*o).\nAnswer: 47*o**2 - 438*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2450 and 20300.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -7*v + 40 - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4052 by -2026.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 318*m**2 - 8903*m - 1719. Calculate f(-287).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100 take away -981569.623?\nAnswer: 979469.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + 10*p**2 - 8*p + 31. Let v be u(5). Let l = 8.68 + 0.32. Which is the second biggest value? (a) l (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3901 divided by -47.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 + 212011222?\nAnswer: 212010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 481291*q**2 - 11*q - 34002813.\nAnswer: 962582*q - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5103)\/(-119) + (-4)\/(-34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + i = -3*i + 24, 5*s - 3*i = -20. Let g be 5\/(10\/(-4)) + 0. Let y = s - g. Let u(l) = -10*l**3 + l. Give u(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/9746, 10\/229 in decreasing order.\nAnswer: 10\/229, -1\/9746, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1040*d**2 - 84*d - 4?\nAnswer: -2080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.8 + 16.51. Let g = u + 4.29. Which is the third biggest value? (a) 12 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Let x = -146 + -145. Let d = 290.8 + x. What is the second smallest value in f, 3, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 2*z**2 + 1. Let i(y) = 3*y**3 + 10*y**2 + 2. Determine i(d) - 2*x(d).\nAnswer: 5*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 22728, -4 in ascending order.\nAnswer: -7, -4, 22728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -122535 (base 6) to base 3\nAnswer: -120002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(3\/4)*f)\/f)\/((f*(f**(4\/3)*f)\/f)\/f*f*f))**(-42\/11)\/(f\/(f\/(f*f**(-1\/16)))*f**8)**(12\/7) assuming f is positive.\nAnswer: f**(-1681\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + 0. Suppose -3*l = -2*l - 54. Calculate the remainder when l is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3894\/16537 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 8, t: 1, e: 3, u: 1, j: 2}. What is prob of picking 1 t and 1 o?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1046, 0.3, -2\/19, -3\/14, -2, 1, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*b + 1123 = 0, 9*r - 14*r = -2*b + 5546. Let s be 550\/r - (-9)\/18. Do -0.1 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 232*l**2 - 13*l + 603. Let o(s) = 57*s**2 - 3*s + 150. Calculate -13*o(p) + 3*v(p).\nAnswer: -45*p**2 - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -25. Suppose -9*k + b*k = -1514. Suppose 4*m = -4*w + 548, 0 = 4*w + 2*m + 205 - k. What is the remainder when w is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, m: 1}. What is prob of picking 1 c and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62927 (base 12) to base 16.\nAnswer: -1f8af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 58 + -2?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.69 + -4.21. Let j = v + 28. Which is the closest to -1? (a) 1 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27.3? (a) 2 (b) 1\/4 (c) -3\/704 (d) -9 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0, 10 in decreasing order.\nAnswer: 10, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 21 (c) -190 (d) 4 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 16 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.217 - 754566855.\nAnswer: -754566831.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/468 and (2 + (-20)\/12)*(-1068)\/(-1080)?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 305 + -107?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -458.33244+-36\nAnswer: -494.33244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -83*u**8\/56 + 37*u**4\/6 + 80*u + 2. What is the third derivative of l(a) wrt a?\nAnswer: -9960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16327 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 474900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 9. Let m(d) = -d**2 + 6*d - 17. Let b(j) = -5*i(j) + 3*m(j). Let p(f) = 2*f**2 - 2*f + 5. What is -3*b(v) - 4*p(v)?\nAnswer: v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2635*f**5 - 146*f**2 - 7*f wrt f?\nAnswer: -158100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.7 - 2.2. Let r(w) = w**3 - w**2 - w + 1. Let s be r(2). Which is the nearest to -0.1? (a) s (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 695*d + 2792. Let m be k(-4). Solve -45*h = -42*h - m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*i**3 + 945*i**2 - 110*i.\nAnswer: -5*i*(i - 11)*(17*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21918500?\nAnswer: 2, 5, 59, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*x - 7 = 0, -3*p - x + 9 = 2. Let w be (-39)\/(-4)*p*6. Calculate the highest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68321.\nAnswer: 11, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 85823 and 0.407.\nAnswer: 34929.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*b = -2505, -5*c - 2*b + 6*b = -4162. Suppose -8*m = -10*m + c. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1786 and 3478?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45016 divided by -52?\nAnswer: -11254\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1385201445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(8\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477082.\nAnswer: 2, 263, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24179386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12*x**2. Let m(t) = -6*t**2 - 4*t. Let n(c) = -31*c**2 - 19*c. Let s(u) = 5*m(u) - n(u). Determine i(s(f)).\nAnswer: 12*f**4 - 24*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24205 is divided by 244?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sesu when four letters picked without replacement from uuusemususuuuuuseuum.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2235, -4498, -6761, -9018, -11263?\nAnswer: -13490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*v - 130, -v = 2*u - 19 + 84. Let d = u - -104. Let r = d - 281\/4. What is the third smallest value in 8, 0.2, r?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/7)*z*(z*z*z*z*z\/(z*z**(-1\/4))*z)\/z)\/(z**(-2\/7))**(-2\/97)*z\/z**(2\/9)*z**(-2\/3)*z**(-5)*z\/(((z**3*z)\/z)\/z) assuming z is positive.\nAnswer: z**(-36713\/24444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:25 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 10*w**5 - 1626*w**4 + 30248*w**3 + 2703168*w**2 = 0.\nAnswer: -152\/5, 0, 76, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1004655 + -1711?\nAnswer: 1002744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7) + 0 - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 8 = -f - 5*d, -4 = -4*d. Suppose -p + 2*a + f = -2, -5*p + 5*a = -75. Does 15 divide 1\/((p\/90)\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*w + 90 = 0, 3*x + 0*x + 5*w = 63. Suppose 17796 + 7164 = x*v. Is v a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-8 - -3 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-934)\/(-528) - 6*2\/9 and 35\/27.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1936130 and -39\/1190.\nAnswer: 1936130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from ohottthtohtm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 17. Solve i*f**2 + 1\/4*f + 0 - 1\/4*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/6*5\/((-3)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146.9 - -88.1. Which is the nearest to w? (a) -1 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*2)\/(14\/91). Suppose -27 - f = -2*u - g, 5*u - 97 = -g. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632424?\nAnswer: 2, 3, 13, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 + 150. Calculate the highest common divisor of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 58*m + 749. Suppose g = z - 0*g - 7, -8 = -z + 2*g. What is the remainder when l(15) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 8:54 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 724481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1379\/2 - -651. What is the common denominator of t and -47\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 213108, 213111, 213116, 213123?\n\"Answer: g**2 + 213107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(0 + 0 + 2*z)*(1192 + 2263 - 1221).\nAnswer: -8936*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*q + 199*q - y + 16226 = 0, 0 = -3*q - 3*y - 16254. Do q and -5411 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13285190758 plus -6192?\nAnswer: 13285184566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by -1?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.5 - 15.488. Let r = 0.01082 - o. What is r rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t + 339 + 111. Solve 0 = t*i - 29*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 70849200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 3)\/((-35)\/15)*(0 - -1). Let j = 15 - 10. What is the smallest value in j, z, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.3 - 11.3. Which is the closest to i? (a) 5 (b) -1\/3 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**2 - 6*x + 12. Let o(g) = g**2 - 1. Let d(a) = h(a) + 5*o(a). Let q(s) = s**2 + s - 1. Give -d(u) - 5*q(u).\nAnswer: -2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 700035991 to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*x - 430, -4*i + 313 = x + 2*x. Let c = -83 + i. Let l be 4\/310*(-8 - -3). Are c and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 times -135.674\nAnswer: 5155.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8591903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 6, l: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 225958722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/13 - 502*u**3\/13 - 6230*u**2\/13 - 21506*u\/13 - 15780\/13 = 0. What is u?\nAnswer: -6, -5, -1, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/4 - 7\/14. Suppose -2*z - 4*h + l = 0, -4*h = -5*z + 42 - 0. Let j(t) = z*t**2 + 10*t**2 - 4*t - 21*t**2 + 6. Calculate j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/606319 and 109\/51502?\nAnswer: 13339018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/60 + b**4\/6 - 2*b**3\/3 + 4*b**2. Let h be k(-5). List the prime factors of (-12 - (-2 - h))*-2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28741\/41640 - 1\/694. Find the common denominator of 91\/24 and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbbbbibcbbbiiibii. Give prob of picking 2 b.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**2 + 0*v - 1 + 1\/60*v**5 + 2\/3*v**3 - 5\/24*v**4. Let k(g) be the second derivative of w(g). What is k(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**3\/6 - 6*k**2 - 16*k. Calculate b(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1056.14 - 1334.2. Let s = 278 + w. Let z = -11\/5 - -23\/15. What is the closest to s in z, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104929*c + 182 = -104936*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 152? (a) -6 (b) 7 (c) -1\/2 (d) 5 (e) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10360 or 10362?\nAnswer: 10362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0687219 centuries in years?\nAnswer: 6.87219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euu when three letters picked without replacement from {u: 4, e: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 7. Suppose j = 6*v - v - 5. Let x be 0 + 1 + v - -1. Solve -t = 5, x*b + b + 3 = t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (74\/(-4))\/((-7)\/(-140)). Round k to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/13 (b) 12 (c) 0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5740824, 5740825, 5740826, 5740827, 5740828?\n\"Answer: g + 5740823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12319*b - 12319*b + 4*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 8 + -7 + 475. Suppose 53*x - g = 34*x. Solve -3*a - 2*p = 14 + 2, -3*p - x = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 + 0 + 2)\/1. What is the highest common factor of 55 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {z: 1, o: 4, s: 4, p: 1, d: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y + 4. Let i be (2 - (-4 - -6))*(-3)\/6. Put -5, i, y in decreasing order.\nAnswer: y, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*c**2 - 1\/6*c**5 - c**3 - 5\/3*c**4 + 47\/6*c + 3.\nAnswer: -(c - 2)*(c + 1)**3*(c + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 51*u**3 - 2*u**2 - 2*u - 59. Let q(m) = -102*m**3 + 5*m**2 + 5*m + 119. Let c(j) = 5*i(j) + 2*q(j). What is the first derivative of c(k) wrt k?\nAnswer: 153*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 265 + -265.1. Which is the nearest to 0.2? (a) 2\/17 (b) 9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -1\/30*t**5 - 2 + 0*t**3 - 1\/60*t**6 - 1\/2*t**2 + 0*t**4 + 0*t. Let w(y) be the second derivative of a(y). Factor w(d).\nAnswer: -2*d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most 933\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 32 = 14*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, 7, 3, 1, 7?\n\"Answer: k**3 - 8*k**2 + 17*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*1)**2 + -5 + sqrt(1872) + sqrt(1872).\nAnswer: 24*sqrt(13) + 1867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15478977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34737657 + 0?\nAnswer: 34737657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-18)*(-6)\/(-4). Suppose -r*q + 80 = -52. Suppose -3*f - 4*x + q = -9, x - 87 = -5*f. What is the highest common divisor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 44. Let v = f + 41. What is the greatest common divisor of 150 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 - 3*n**2 + 0*n**2 + (-3 - 3 - 1)*(4*n**2 - 6*n**2 + 3*n**2) as f*n + x*n**2 + r and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwgnenxxnnxtn. What is prob of sequence gn?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 - -94. Let w(r) = 3*r**2 + 3*r - 2. Let k be w(-2). What is the first derivative of -12 - d + 12*a - k*a wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26115*y**2 - 26115*y**2 - 62*y**3.\nAnswer: -62*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 153 = -2*l. Let p = -49 + l. What is the first derivative of p*s**3 + s**3 + 12*s**3 + 11 + 4*s**3 wrt s?\nAnswer: 57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59\/212 - -763307\/1908. Is k <= 400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40, 49, 70, 109, 172?\n\"Answer: g**3 + 2*g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.442617 kilograms to milligrams.\nAnswer: 7442617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 3*z**7\/7 + 11*z**4\/6 - 85*z**2 + 2*z. Find the second derivative of y(f) wrt f.\nAnswer: 1080*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-6\/5)*m)\/m*m)\/m**(1\/4))**(-42) assuming m is positive.\nAnswer: m**(189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 1260?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 44?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (125\/(-20))\/25*1*28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1603 - 1573. Let q = 7.1 - -22.5. Let c = d - q. Is c at most as big as 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758730000 rounded to the nearest 1000000?\nAnswer: 759000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 11*r - 15*f + 15, 2*f - 3 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85918.62g to nanograms.\nAnswer: 85918620000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 22241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.3 + -45.8. Let s = 64 + v. Let y = 25.95 - 26. Does y = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -2.2\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 + 2896 = -254*w - 989 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-6 + 13)) + -39 + 38?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 + 119*c\/4 - 123.\nAnswer: (c - 4)*(c + 123)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)\/1*(-2 - 0). Let i(m) = -32*m**2 - 2*m - 1 + 67*m**2 - 4 - 37*m**s + 2. Let h be 1\/(-1*2\/10). Let f(o) = -1. Determine h*f(l) + i(l).\nAnswer: -2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/105 + 38\/(-14). Let k be (4 - 3) + (-6)\/p*8. Suppose -2*i + 32 = -2. What is the highest common divisor of k and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, e: 1, c: 1, n: 9}. Give prob of sequence tnn.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-88 + 4 - 20)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 22*f + 80. Calculate r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 8. Suppose -4*w + 48 = 3*o, 3*w + o - 30 - g = 0. Calculate the lowest common multiple of w and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110111001110 (base 2) to base 13\nAnswer: 361c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 8*a**5\/5 + 6*a**4 - 2*a**3 - 10*a**2 - 6*a + 41. Let u(t) = 0. Calculate t.\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 5*j**2 + 7*j - 3. Let i be v(6). Suppose 3*c = 2*s + 181, 4*c + i*s - 168 = 96. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -244 - -236. Let t = 175 + i. List the prime factors of t.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11441*g**3 + 16*g - 16. What are the prime factors of r(1)?\nAnswer: 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/20304 and 64\/1400211?\nAnswer: 3158876016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 25. Let n(g) be the third derivative of 0 - 1\/24*g**6 + 1\/12*g**x + 1\/20*g**5 + 0*g - 2*g**2 + 0*g**3. What is p in n(p) = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 57*f - 262152. List the prime factors of f.\nAnswer: 2, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*n = -392, 0*n + 2 = 2*n. Suppose 0 = -2*z - p - 161. Let w = -47 - z. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(8) + -1))*4.\nAnswer: -4*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -80883*k**2 + 33668*k**2 + 39448*k**2 in the form t*k + q + s*k**2 and give s.\nAnswer: -7767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*h - 13 = -2*g, -2*h - 10 = 2*g. Let f = 157 - 174. What is the units digit of f\/(-2)*(-6)\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9391, 18780, 28167, 37552?\nAnswer: 46935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 times -32\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 548 + -380. Let c = -98 + i. Let x = c + -69.999914. What is x rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.593 + -0.053. Let k = u - 0.04. Let m = 16\/9 - 94\/63. Which is the nearest to 2? (a) 5 (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12838 - 2800 - 12390 = -2109*m + 16261 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 - 2*o + 7)*(4*o**2 - 2*o**2 + 0*o**2).\nAnswer: -4*o**3 + 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 17}. Give prob of sequence vv.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 431 - 521217?\nAnswer: -520676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.44 + -0.26. Let f = -2.3 - k. Sort -4, f, 0 in decreasing order.\nAnswer: f, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15813 is divided by 851?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.189988 * 28.\nAnswer: 313.319664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdbdnbtmbnmddmdmdt. Give prob of sequence tbb.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 10*d**2 + 32*d - 160. Let o be f(5). Let r(h) be the third derivative of o + 0*h**3 - 1\/210*h**5 + 20*h**2 - 1\/28*h**4 + 0*h. Factor r(k).\nAnswer: -2*k*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8165 by -94.\nAnswer: -8165\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4. Let n(x) = x - 12. Let r(b) = -2*n(b) - 7*y(b). Let o be r(-3). Suppose 5 = -o*d + 13. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -6757?\nAnswer: 6753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 16. Let h be b(0). Let a be 4 - (-4)\/(h\/12). Let y(q) = -4*q**3 - 5*q**2 + 5*q - 5. Let v(o) = -o**3 - o**2 + o - 1. Give a*y(t) - 5*v(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**2 + 7547*t - 337*t - 683*t + 543*t + 2499245 = 0?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q**3 - 672*q**2 - 3*q - 583. Give u(-96).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177*h**2 - 177*h**2 - 1 + 2*h**4 - 2*h**3 to the form v + n*h**4 + r*h**2 + a*h**3 + f*h and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6311844082 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + 4 + 14)*(0 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14745*g**4 - 340*g**3 - 10648976*g wrt g.\nAnswer: 176940*g**2 - 2040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19776 take away -4.9465844?\nAnswer: 5.1443444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 6:45 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times -176?\nAnswer: -22.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/153 and 119\/109890?\nAnswer: 1868130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10544705 a multiple of 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3*b + 50 = 0, 17 = -10*a + 2*b - 7 + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2 = 5*n - 4, -3*w - 5*n - 6 = 0. Let t = 4 + w. Suppose r + 0*v - 22 = 4*v, 4*r + t*v + 2 = 0. Solve -2*h = -r*q + 8 - 20, 2*q + 6 = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2 - 22. Suppose -5*i + 10 + 2 = -2*b, 0 = i - 3*b - l. Solve 0*d - 8 = i*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 668?\nAnswer: -668.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b. Let z(v) = 15*v - 1. Let s(q) = -22*q + 1. Let d(o) = -5*s(o) - 7*z(o). Let c(r) = 11*r + 5. Let w(f) = -2*c(f) + 5*d(f). Calculate w(j(n)).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 + (-2 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5\/7 + 4*j**4\/7 - 44*j**3\/7 - 136*j**2\/7 - 6*j\/7 + 180\/7 = 0.\nAnswer: -3, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**4\/12 - k**3\/2 - k**2 - 3*k - 3. Let c(r) be the first derivative of l(r). Find w such that c(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14171, 14043, 13829, 13529, 13143, 12671?\n\"Answer: -43*a**2 + a + 14213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 greater than 720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-62) + (10 - (-9037518)\/(-909664)). Is -1 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36240 and 7248.\nAnswer: 36240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/787, -1\/2, 23 in decreasing order.\nAnswer: 23, -3\/787, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -19. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 7*z - 2. What are the prime factors of l(10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-12))**(-3\/29)\/(d*d**(4\/7)*d)**(-2\/99))**16 assuming d is positive.\nAnswer: d**(-49888\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 162177889 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.6 - 4. Let i = a - 0.5. Round i to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + l = -22, -2*p + 389*l = 387*l + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 + t**2 + 2. Let x be q(-2). Let l be (-2 - x\/(-10))*-3. Let a = 0.006 - 2.006. What is the closest to 0.1 in a, -2\/7, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -0*r. Solve -2*y + 6 = r*o - 10, -3*o = -y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16560 bigger than 16560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 5*p + 198*p**2 + 148*p**3 + 153*p**3 - 198*p**2.\nAnswer: 301*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0551842 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 26339.517ns?\nAnswer: 0.0000000073165325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = 57*w + 2*o + 2*o, -5*o = -45 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r. Differentiate 1 - 5 + r*p**2 - 5*p**2 wrt p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-282)\/(-9))\/(14*505\/(-2121)).\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 1. Let b = 22 + -19. Let q be o(b). Let h be (-1)\/(0 + 2\/(-8)). Solve 3*a = -q*z + 20, 2*a + 16 = h*z - 0*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1330694*s + 1330342*s + 5280 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 632 by 5.\nAnswer: 632\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppspppsp. What is prob of sequence pp?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3 + 1576*k**2 + 18804*k + 56304 = 0?\nAnswer: -1564, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 11:45 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -281147 + 281147.5. Let h = 3 - 10. Let c = -2 - h. Put c, -1, d in decreasing order.\nAnswer: c, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -4241957?\nAnswer: 424195.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(18\/(-16))\/(390\/40)*1?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 38. Solve l*o + 15 = -17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.2 - 2.2. Let z = 1 + -1.2. Sort -3, z, h.\nAnswer: -3, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.25 in 2\/99, -1.7, -4\/3, 54\/13?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 29. Let a be -356*1\/b*1. Suppose -6*y - a = -8*y. What are the prime factors of y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6044000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1542752*c**4 - 640940*c**2 - 4*c wrt c.\nAnswer: -37026048*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 15. Let b be v(4). What is the biggest value in b, 4, -4, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 165*v**2 - 1377*v + 1215.\nAnswer: -3*(v - 45)*(v - 9)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-19 - -23 - ((-2 - -1) + 0))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 13. Let k = -4.6 - -5. What is the nearest to a in k, -1, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4, -5*m + 2*k = -2*k + 782. Let i(r) = -92*r**2 + r. Let w be i(1). Let j = w - m. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 + -112. Let i(a) = -3*a**3 + 4*a**2 - 1. Let p(l) = l**3 - l**2. Determine g*i(y) + 4*p(y).\nAnswer: y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2683, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/22713620 - 28122641465\/40884516. Let x = 3434\/5 + j. What is the common denominator of -55\/72 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -5 + 2 + 6. Let r(s) = -g*s**2 - 6 + 11*s**2 - 21*s - 3*s**2 - 18. Let v be r(22). Is -3\/5 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 12\/(-8))*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 1134*m**2 + 7*m - 6. What is y(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 6, h: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 361 - 244. Is 155 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.1445ml in litres?\nAnswer: 0.0681445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m - 4. Suppose 998*j - 4*s + 149 = 993*j, -2*s = -3*j - 91. Let i(r) = 33 - 6*r + 9*r + 21*r. Give j*v(c) - 4*i(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 222*d**2 - 250*d - 3435. Give s(-110).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 + 0)*(-1 - 0). Suppose 338*r - 583 = 327*r. Let c = r + v. What is the highest common factor of 190 and c?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14\/4)\/((-40)\/80))\/(6\/6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 7:06 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*h + 1506 = 0, -4*h = q - 511 + 124. What is the remainder when q is divided by 96?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1878.99999437 - -1879. Round c to seven dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1480444, -5921660, -13323688, -23686528, -37010180, -53294644, -72539920?\nAnswer: -94746008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4681437 (base 11) to base 10\nAnswer: 8171533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c + 222. Let x be a(25). Let j = 3\/112 - 1023\/560. Is x bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 6*q**2 - 3*q - 7. Let y = 6 - 1. Let p be r(y). Let g be 2\/(-2)*3 + p. Solve 6*x - 2*x = g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 304372 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence houh when four letters picked without replacement from {h: 3, u: 2, o: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 9*w**2 + 5*w - 3. Determine f(-4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6096 minus 4507?\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*w**2 + 150*w**2 - 76*w**2.\nAnswer: 37*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -841.99999805 + 842. What is s rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 276, -279, -1784, -4713, -9540, -16739, -26784?\n\"Answer: -79*p**3 - p**2 + p + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.96 - -0.04. Let n = q - 1.7. Let j = 59 - 72. Sort j, n, 1\/4 in descending order.\nAnswer: n, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 52*p**4 - 1964*p**3 + 18276*p**2 + 5852*p - 14440 = 0.\nAnswer: -1, 10\/13, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9657\/148)\/29)\/(1*(-2)\/8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/4)\/((-3)\/(-78)*-2*2223\/(-684)).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b0d16 + 17?\nAnswer: -b0cdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*a + 68*a + 4*a**3 - 3*a + 3*a + a**3 + (a + 5 - 5)*(-4*a**2 + 3*a**2 - a**2) - 6*a**3 + a**2 - a**2.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 times 14050.7?\nAnswer: -6491423.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3560168l?\nAnswer: 356.0168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/10 + 652551029\/130 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2. Let p(n) = 14*n + 48. Let l(q) = 11*q + 49. Let r(h) = -4*l(h) + 3*p(h). Calculate r(o(c)).\nAnswer: 2*c**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 155, 354, 633, 992, 1431?\n\"Answer: 40*a**2 - a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.36 and -0.52?\nAnswer: -0.1872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203638015 by 3.\nAnswer: -203638015\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-21))\/(3\/(-63))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.94 (b) 5 (c) -0.4 (d) -62 (e) 1\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {m: 2, o: 2, x: 1, v: 6, b: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 694.921 to zero dps.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:08 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 76762897 and -14.247.\nAnswer: 76762882.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 11*n + 12. Let u(g) = 6*g**2 + 4. Let r be u(-2). Let w = r - 17. What is the tens digit of t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) + (sqrt(35)\/(sqrt(7)*-3))**2)*2.\nAnswer: -8\/9 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b - 6. Let p be b\/8 - (-136)\/32. Differentiate 7 + 6*d**p + 50*d**3 - 50*d**3 with respect to d.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*t + 10. Let g(m) = m**3 - 7*m**2 - 7*m - 4. Calculate the least common multiple of g(t) and ((-14)\/8)\/1*-12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 103\/3. Put c, -0.5, -0.3 in descending order.\nAnswer: -0.3, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, n: 10}. What is prob of picking 3 n and 1 a?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139664*k**3*n - 584*k**3*x - 2*k**3 - 45*k**2*x - 175*k*n - k*x + k + 72*n*x - 7*n wrt k.\nAnswer: 837984*n - 3504*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53010 is divided by 457?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 241 = -0*q. Find the common denominator of 2\/(-3) - q\/(-6) and (-1808)\/(-320) - (-3)\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llf when three letters picked without replacement from llfffollllol?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, -522, -1439, -2374, -3327?\nAnswer: -4298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 319*s**2 + 313*s**2 - 632*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 16) in base 9?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0, -12, 23?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 7*w**2 - 3. Let y be m(7). Let t = 18 + y. Solve -5*i + t = -8*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/3*6\/4. Let h = 8 + p. Sort 2, h, 4 in descending order.\nAnswer: 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Let f be 51 + n + (-3)\/3. Suppose -x - 2*x + f = 0. Calculate the remainder when x is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + x)*(207 + 191 - 108).\nAnswer: 290*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*u + 5. List the prime factors of 273\/u - 2\/(-4).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -19*m**3 - 249*m**2 + 250*m. Let u(z) = 6*z**3 + 83*z**2 - 83*z. Let i(j) = 6*n(j) + 17*u(j). Find the second derivative of i(v) wrt v.\nAnswer: -72*v - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/18 + (-34)\/(-4). Let z be (-3)\/(-6) - (-111)\/2. What is the greatest common factor of r and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*x - 7*x + 5*m, -2*m + 1 = -x. Suppose x*a = -1066 + 16. What is the common denominator of (-3)\/(30\/(-4)) - (-1211)\/a and 25\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23366?\nAnswer: 2, 7, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17048, -68196, -153438, -272774, -426204, -613728?\n\"Answer: -17047*j**2 - 7*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9582?\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -7)\/((1380\/(-315))\/(-23)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4178125?\nAnswer: 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.863 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a168 (base 11) to base 8.\nAnswer: 66762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*b = -17, 6*x - 9*x = 5*b - 18. Solve -41*t + x = -40*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(171))\/(sqrt(243)\/sqrt(3) - sqrt(9)) + -2 + (sqrt(114)\/sqrt(6))**2 + (4*sqrt(19) + -1)**2.\nAnswer: -7*sqrt(19) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**3 - 7*d**3 + 2301 - 2301.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from {b: 4, k: 10}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o - 2. Let j(s) = -s**3 + 17*s**2 + 4*s - 65. Let p be j(17). Let h(m) be the second derivative of -2*m**3 - 3*m**2 + 14*m. Give p*h(k) - 8*c(k).\nAnswer: -4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -154\/3, -1, 518985?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2344 and 775129156.\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w - w - 6 + 8*w**2 - w**3 - 26*w**2 - 16*w. Let l be k(-17). Calculate the greatest common divisor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.186912 >= -0.017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -2, 1, -43 in increasing order.\nAnswer: -43, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6506 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124343323 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:31 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) - (96\/(-10))\/(-8).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cd (base 14) in base 2?\nAnswer: 1000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 2*z**2 - z. Let g be l(1). Suppose f = -g*f + 4. Suppose -3*u - f*b = -3*b, -u - b = 0. Solve 4 = 2*k - u*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3626*z**3 + z**2 - 2*z + 5. What is a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3173750 to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 92 = -4*y. What is the remainder when y is divided by (16\/10)\/(4\/30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -75 (b) -3 (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t - 15. Calculate i(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12193\/36597 - 2\/12199. Let x = -1 - 3. What is the third smallest value in z, 3, x, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*x = 27 + 157, 5*i - 3*x = 275. Calculate the remainder when i is divided by (2160\/(-54))\/((0 + -1)*2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 15\/2530678?\nAnswer: 15\/2530678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38274281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 32*y**2 - 8356*y - 57264. What is l(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 10896?\nAnswer: 1\/5448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14599009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 168*u**3 - 2032*u**2 + 5016*u + 7220.\nAnswer: -4*(u - 19)**2*(u - 5)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1881*f**5*g + 4*f**5 - 3*f**3 - 81*f**2*g - 2*f*g - 3*f + 72*g wrt f.\nAnswer: 112860*f**2*g + 240*f**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in 2.1, 0.3, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/(-54) - 3 - -3 and 57\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -667 + 678. Let u(c) be the third derivative of 1\/60*c**5 + c**3 + 0 + 5\/24*c**4 + m*c**2 + 0*c. Calculate u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(117) + (-2*sqrt(156))\/sqrt(12).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012 + 1053 = -9*d + 1912 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 2*u - 1. Let z(o) = o - 3. Let q be z(4). Let m be l(q). Suppose 5*x - 540 = -520. Solve -2*v - m*v = -20, x = 3*t + 4*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*p = 5931 - 510 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 n, and 2 c when four letters picked without replacement from {d: 4, a: 3, n: 5, c: 5, b: 1}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5708*b + 12 + 2 + 12 - 26)*(-b + 0*b + 0*b).\nAnswer: 5708*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1437*-10727\nAnswer: -1541.4699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p. Let f(z) = -3*z**2 + 1. Let i(u) = u**2 - 1. Let q(t) = 5*f(t) + 5*i(t). Determine q(v(d)).\nAnswer: -90*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 17, -15\/4, -1\/5, -5, 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -15. Suppose -p*n + 48 = 20. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 164, 1, 0.0382, -0.4, 8?\nAnswer: 0.0382","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -6, 373 in decreasing order.\nAnswer: 373, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + a**2 + 9*a - 5. Let w be x(3). What is the common denominator of 3\/w*(-430)\/(-75) and -17\/310?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 9. Let n be t(-6). Let j be (-2)\/(-3) + 88\/(-6). Let k = -9 - j. Solve -n*i + k*i = -8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/6 - (-2)\/(-3). Let m be 312\/14 - (-4)\/(-14). Suppose -n + 17 = -3*v, 5*n - 19 - 6 = 3*v. Solve -2*g + 3*x = -0*x - 17, p*g - n*x = m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 924*y**3 + 130 wrt y.\nAnswer: 2772*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*l**2 + 2810*l - 7377*l**2 - 2810*l.\nAnswer: -7148*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-5)*165\/6. Let h = -34 - p. Calculate the remainder when h is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.312203 months in years?\nAnswer: 1.85935025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-704)\/66)\/(2\/(-15)). Let w = 84 - q. What is b in -3\/2*b**5 - 3\/2 - 15\/2*b - 15\/2*b**w - 15*b**2 - 15*b**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oauu when four letters picked without replacement from qqyuqoayyu.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + o = 3*o - 10, -5*o = -5*x - 20. Let h be (1 - 2)*(1 + x). Suppose 5*r - 79 + 29 = h. What is the greatest common factor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 256, 6648, -2\/11, 11 in increasing order.\nAnswer: -2\/11, 11, 256, 6648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 218 - 208. Suppose o = s - 33, -b*s - 3*o - o = -165. Calculate the remainder when 161 is divided by s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7749\/(-2214)*4\/154?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2604 * 5\nAnswer: 13020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -30*(-15)\/(-18)*-1 + 0. Suppose -n*c**4 - 10*c**3 - 145 + 15*c**2 + 70 + 75 = 0. Calculate c.\nAnswer: -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 26*z**2 - 26*z - 26. Let g be n(27). Let m = -278 + 464. Let f = -4646\/25 + m. Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5439 - -15c?\nAnswer: -52aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5796 - -0.1796. What is the nearest to -3 in -5, 9\/7, 5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 3:19 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/36 + (-9)\/(-4). Suppose -w + 1 = -j - 4, -2*w - 15 = m*j. Suppose 0*y + 5*o = y - 22, w = y + 3*o - 30. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 5*g + 30, -2*w - 13 = -3*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 63 + 21 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569 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: Let j(y) = -3*y - 8. What is j(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 55*b. Let r(m) = 12*m - 14. Let z(y) be the third derivative of 5*y**4\/24 - y**3 - y**2 + 31*y. Let d(p) = -6*r(p) + 14*z(p). What is x(d(i))?\nAnswer: 4*i**2 - 110*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512618 = -59*i + 5280*i + 283905 - 371702 for i.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 16*t - t**3 + 3*t + 5*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4368*m**2 + 5*m - 22. Let i be g(-5). Suppose -i = -29*y + 18*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byypbybbyyeypypyypy. What is prob of sequence yyyp?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l**2 - 244*l + 210. Does 3 divide g(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - x - 5. Let m = -95 + 91. Let k(j) = -1. Let t(r) = m*k(r) + g(r). Let z(i) = -4*i**2 + 2*i + 3. What is -2*t(c) - z(c)?\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28486 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x - 2. Let c be u(-1). Suppose -4*v - 1 = 2*z + c, 0 = 3*z + 9. Let j be -117 + (v - 2) + -2. What is j rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 138*u + 2806. Give l(-20).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*t - 4*t. Put t, 5, 3 in descending order.\nAnswer: 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1152899 - 9.07.\nAnswer: 1152889.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -413 (base 8) to base 3\nAnswer: -100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 13*s - 7. Let c be d(14). Let j(x) = x**3 - 7*x**2 - x - 1. What is j(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2. Suppose -4*s + 7 + 1 = 0. Let d(z) = -2*z + 10*z**2 + s*z. Determine d(u(k)).\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {b: 9, v: 2}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 0 + 6 + (-70)\/14?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ywuywwwu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/377, 1\/6, 2\/3 in ascending order.\nAnswer: -8\/377, 1\/6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5768, -5780, -5792, -5804, -5816?\nAnswer: -5828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/4 - 4*q**3\/3 + 4*q**2 - 3*q + 127. What is n(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1527 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/((4\/(-87))\/(52\/(-13))). Solve -b*i + 4 = -1130*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -p + j + 7, 2*p - 90 + 53 = 11*j + 81 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/13 + 1766578*o\/13 - 72433060\/13.\nAnswer: 2*(o - 41)*(o + 883330)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-13)*s\/(s*s\/(s**(-5\/4)\/s*s))*s\/s**(-1)*s**(-5) assuming s is positive.\nAnswer: s**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 26\/1373?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -25. Let h(w) = 6*w. Let c(g) be the first derivative of -g**2 + 1. Let t(p) = n*c(p) + 4*h(p). Let r(i) = -3*i. Give t(r(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 418 + -370 - (-2 + 0 + 20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l + 3*g = -15, 4*l - 9 = -3*g. Let f be l*1*(-5)\/(-3). Solve -4*y - 9 = -3*t, -8*t + 3*t - 20 = f*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211415 (base 8) to base 3.\nAnswer: -121220011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*10\/2 - 20\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972951?\nAnswer: 3, 7, 107, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-2 + -6 - -14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(27\/(-15) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*u + 2*w - 486, 360 = 4*u - 4*w. Calculate the remainder when u is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 34. Suppose -4*a - v - 1 = 0. What are the prime factors of ((-3)\/a)\/(2\/52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622 = 90*x - 8*x + 48 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 2137?\nAnswer: 2128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(156)*-1 - 2*sqrt(156)*-4)\/(sqrt(48)\/sqrt(4)*-2*5).\nAnswer: -7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2))**(-2\/65)\/(x**(-1\/4)*x)**(-2\/9)*(x**(2\/3))**47\/((x*x**(-1\/5))\/x**(1\/2)) assuming x is positive.\nAnswer: x**(2029\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 0. What is the units digit of 4\/x - 36\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4 - 206*x**3 + 1366*x**2 - 2122*x + 960 = 0.\nAnswer: 1, 5, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*z - 90 = 219*z. Which is the second biggest value? (a) z (b) 2 (c) -1 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123.3 + 46.3. Which is greater: s or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1670515351 from -0.3.\nAnswer: -1670515351.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) 1\/2 (c) 7 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -82992640 divided by 170?\nAnswer: -488192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71435460 is divided by 2827?\nAnswer: 2824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (0 - (1 - -6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 440 (base 5) to base 7\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.2 - 3. Let d = -1.922 - -0.022. Let n = -1.6 - d. Is b at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113246 (base 9) in base 12?\nAnswer: 33429","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*g + 6 = 7, 0 = -4*g - 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*b*i**3 + 3*b*i - 55*i**3 wrt b.\nAnswer: -16*i**3 + 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 5*f**3 - 2*f**3 + 5 - f**3 - 5 + (-f + 0*f + 0*f)*(3*f**2 - 6*f**2 + 4*f**2).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*l - 20, 5 = -l - 2*a - 0*a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2212010 (base 3) to base 14.\nAnswer: a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8914 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from araauuucmrrcua. Give prob of sequence cc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158763, 635061, 1428891, 2540253, 3969147, 5715573, 7779531?\nAnswer: 10161021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9709899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 103965 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - (-3)\/(-9). Let q(h) be the second derivative of h**5\/5 + h**4\/12 - h**3\/6 - h**2\/2 - 1959*h. Give q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 3665158.\nAnswer: 3665162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72650 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**3 + 430*b**2\/9 + 16*b\/9.\nAnswer: -2*b*(b - 8)*(27*b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 119*a - 55*a - 51*a + 130. Let y be w(-10). Solve y = -q - 3 + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6632 and 4145?\nAnswer: 33160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001111010000 (base 2) in base 13?\nAnswer: -4233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 7 + 1. Let x be 100\/(-8)*6\/(-3 - 0). Solve -u*k = 3*k + x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 4)*(-2498*d + 385*d + 57*d**2 - 26*d**2 - 9 - 30*d**2) to the form g*d + j*d**2 + b and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2414*x + 7605. Is y(-53) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-3 + 5 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3553*p + 252 = 3581*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.3 - 13.31. Let p = r - -0.01. Which is the nearest to p? (a) -0.2 (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from qrrqmmrtsq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42794893, -42794884, -42794869, -42794848, -42794821, -42794788?\nAnswer: -42794749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 335, 333, 331, 329, 327, 325?\n\"Answer: -2*u + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**4*c**(-3\/5)*(c*c\/c**(-1\/2))**34 assuming c is positive.\nAnswer: c**(407\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 80*f**2 - 4*f - 173. Let y(q) = 79*q**2 - 5*q - 173. Let i = 855 - 858. Let z(w) = i*r(w) + 2*y(w). Differentiate z(p) with respect to p.\nAnswer: -164*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 2*q**2 + 3*q - 4. Let z be b(3). Let o = -1 - z. Factor 1\/2*h**o + 1\/2*h + 0 - h**2.\nAnswer: h*(h - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*a**4 + 262*a**3 - 2*a**2 - 49462*a.\nAnswer: -84*a**2 + 1572*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 9939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 564332 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34388813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 265 - 54. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:25 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v + 38*v = -2*f + 8, -4*v + 8 = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1826.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 3*y = -6, -254*m = -256*m - y + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -77\/5. Let x = u + 4\/15. Let f = 23.8 + -20.8. Put x, 4, f in decreasing order.\nAnswer: 4, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 6:00 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 13*s**2 + 13*s + 16. Let y = -1705 + 8469\/5. Calculate the common denominator of y and b(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w - 1 = -l - 49*w, -3*l + 5 = -4*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/2 - -2) + 2. Let j(h) = -8*h - 1. Let w be j(-2). Solve 4*p - 5 = -4*l + w, -f*p + 5 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q - 24. Let a = 11 - q. Suppose 3*c + 2*c + 74 = 2*r, 3*r + a*c - 111 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3545 - 3493. Is 36 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 - 5.72440416\nAnswer: -11.12440416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716202*r - 716199*r = -2*f - 33, 2*f + 5*r = -31 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256211756.\nAnswer: 2, 64052939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -19. What is the greatest common divisor of p and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**3 + 77*m**2 - 15*m - 28. Let p be x(-13). Let u(g) = 5835*g**2 + 27*g + 5. Is u(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662 (base 7) in base 13?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -61 in descending order.\nAnswer: 2, -1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65392 is divided by 394.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -2. Let j be (-9)\/(-28) - (-16)\/(-28). Put j, -11, n in descending order.\nAnswer: j, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-5)*u)\/u**(-4))\/((u*u*u**(1\/5))\/u)**(-37) assuming u is positive.\nAnswer: u**(282\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-3))\/(14\/(-14))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -97595336 and 7?\nAnswer: 97595343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-224)\/84). What is the nearest to r in -7, -0.5, 3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135822216, 135822214, 135822212, 135822210, 135822208?\nAnswer: 135822206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -449\/7, -46311, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 5877384*q + 5877381.\nAnswer: 3*(q - 1959127)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 69*o**2\/2 - 11735. Let f(i) = -269*i**2. What is f(g(p))?\nAnswer: -1280709*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214131 is divided by 12595?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 10577?\nAnswer: -10574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - 6*w**2 + 3*w - 2. Let x(m) = m**3. Let i be 1 + -2 - ((-6)\/2 - -5). Let v(g) = i*x(g) - l(g). Give v(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2887 + 4662. What is the greatest common divisor of 25 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*(sqrt(19)*-2 - sqrt(19)) - sqrt(76)\/sqrt(16)) - (1*sqrt(1900)*-5 + (-4*(sqrt(1900) + -1) - sqrt(1900))))**2.\nAnswer: -504*sqrt(19) + 75427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcc when three letters picked without replacement from {o: 2, t: 2, c: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from txxiiuuttftv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q**3 - 3*q**2 - 3. Let t(i) be the first derivative of -6*i**4 - 5 + 0*i**2 + 8*i + 8\/3*i**3. Determine -8*b(y) - 3*t(y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(2 + 0 + 0)*(-29*u**2 - 37*u**2 - 25*u**2).\nAnswer: 364*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -41*n. Let h(i) = 48*i**2. Determine l(h(d)).\nAnswer: -1968*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/((p*((p*p**(13\/3))\/p)\/p)\/p*p))\/p))**(-2\/61)\/(p*p**5*p*p**(-19)*p) assuming p is positive.\nAnswer: p**(1981\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2*(-2)\/8). Suppose 4*f = -h*v + 24, v + 3 = -3*f + 4*f. Is 3 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13289 < -1740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5555.\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28484*c**2 - 37790?\nAnswer: 56968*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 1\/3, 1, -94\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**2 - 9*j + 8. Let o(m) = -m**2 - m + 1. Determine -6*o(a) + t(a).\nAnswer: -a**2 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-3)\/(-1)*-1)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98731094 is divided by 3460.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/200 - 3*t**5\/100 + 13*t**4\/40 + 3*t**3\/2 - 1363*t**2. Suppose v(o) = 0. What is o?\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -67, 0, 5, -8?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 1 = -40*t. Let j(z) = 3*z - 14. Let a(x) be the first derivative of -8*x**2 + 71*x - 1. Let p(o) = t*a(o) + 11*j(o). What is p(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13204.3159 to the nearest ten.\nAnswer: -13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159*p = -1096*p - 3818 - 1222 for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11756 - -4?\nAnswer: 11762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 0, -3*j + j - 3*g = 2. Let l = j + 3. Let i = -1.1 - -1. Is i greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-214)\/642*(-3)\/(-10).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47230401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 257435754 and 0.5?\nAnswer: 257435753.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9450 and 465210?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 + 1 = -5*f, 0 = -4*v - f + 2. What are the prime factors of v\/((-1)\/840*-5)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122\/(1*(3 - 1)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:21 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2673 - -121?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9510 and 251475?\nAnswer: 159435150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a + 17. Let g be w(0). Suppose -g*j = -2*j + 15. What is the nearest to 2 in 1\/4, j, -30?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 224251043 + 25?\nAnswer: 224251112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 11. Suppose r*l = -124 - 65. Let f = -33 - l. What is the remainder when f is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/1)\/((-15)\/(-10)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 20*m - 16*m - 18, 3*c + 21 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 30*l**2 + 9*l - 26. Let a(w) = -2*w**3 - 2*w**2 + 2*w. Let f(v) = 2*a(v) + s(v). Find the second derivative of f(u) wrt u.\nAnswer: -12*u - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 52*w**3 - 121*w**3 + 61*w**3.\nAnswer: -8*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q)\/(q**(-2\/13)*q)*q*q**(-1\/3)*q**(-3\/7) assuming q is positive.\nAnswer: q**(1199\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.79 + -0.41. Let d = f + 3.7. Let u(g) = -g**3 + 9*g**2 - 10*g + 10. Let r be u(8). Sort 0.1, d, r in decreasing order.\nAnswer: d, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/116)\/(((-2)\/(50\/15))\/(-42))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1268530, -2537147, -3805764, -5074381, -6342998, -7611615?\nAnswer: -8880232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26860.\nAnswer: 2, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2116838, -2116737, -2116636?\n\"Answer: 101*r - 2116939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45010048 is divided by 1973?\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 94. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.9. Which is bigger: -18 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868552 smaller than 868565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/9 (b) -2 (c) -0.1 (d) 142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 158949*-241.3\nAnswer: -38354393.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1 - 3*o + o - o + o**2. Let x be -255 - (5 - 5\/(2 + -1)). Let f = x - -258. What is m(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -41.16925\nAnswer: -8.23385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83915260 and 2267980.\nAnswer: 83915260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -338493 divided by -3\nAnswer: 112831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 21 = -5*s - 77, -3*s - 52 = 4*j. Let k = 1241 - s. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*b**2*v**2*z**2 - 2*b**2*v*z**2 + b**2*v*z + 6736*b*v**2*z + 949*b*v wrt v?\nAnswer: -70*b**2*z**2 + 13472*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -41*h**3 + h. Let m be v(1). Let b = m + 59. Calculate the smallest common multiple of b and 9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (204*n - 428*n + 331*n)*((5 - 2 - 2)*(-2*n + 0*n + 3*n) + 9*n - n - 3*n) as g*n**2 + f + q*n and give g.\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -5*t - 3*g, -5*t + 4*g + 175 = 2*g. Suppose 0 = 61*x - t*x - 29*x. Solve x = 5*v - 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30500 and 11625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u - 27 = 0. Let k(y) = -9 - 3*y + u. Let o(h) = -2*h. Give k(o(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5218 (b) -197 (c) -3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -3, -50.\nAnswer: -50, -5, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5880 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 24*a - 54. Let r be d(-3). Suppose 4*v - o = 3*o + 4, 4*o + 31 = -5*v. Let q = -2 - v. Calculate the greatest common factor of r and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3)**(20\/11))**1*((i**(-1)*i)\/(((i**1*i)\/i)\/i))**(-12) assuming i is positive.\nAnswer: i**(60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 10260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 824696918 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**3\/6 - 3*d**2\/2 + 2*d. Let x be q(-6). Solve 2*s = -8, -x*o - 3*s = s + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683457684 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/17? (a) 225 (b) -0.02 (c) -1066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 33. Let y be i(-16). Is y*((-2406)\/24)\/(3\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1287 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(931)*1 + 3)*-2 + -2)*-3.\nAnswer: 15 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/2 + 3*g**4\/2 - 4*g**3 - 6*g**2 + 8*g = 0. What is g?\nAnswer: -4, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 65805?\nAnswer: -65802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:46 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - f + 22 - 35, -f + 1 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -57, -70, -73, -66?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7\/10, 5, -3\/2, -5, -9?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28433*n**2 + 19901*n.\nAnswer: 56866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let y(h) = h - 1. Let g(j) = -30*j + 24. Suppose -16 = 4*o, 0 = 3*u + 5*o + 11. Let q(k) = u*g(k) + 72*y(k). Determine q(c(w)).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2962961 to the nearest integer?\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 1. Let i be h(-1). Suppose i = v - 5. Suppose -5*n + 2*n + 72 = -2*j, -v*j - 37 = -n. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 65 = -160. Suppose -36 = 3*n - m. Find the second derivative of -10*h - 8*h - 1 + 27*h + 32*h**n - 7*h wrt h.\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 6 - 4, 5114 = 4*z + 3*t. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1405 and -77\/22888.\nAnswer: 32157640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.1. Let m = 2825 + -2826. Which is the nearest to -0.1? (a) m (b) n (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n + 27 = 3*o, 3*n + 2*o - 20 = 0. Suppose n - 1 = -m. Let s be ((-1)\/(-2))\/((-5)\/10). Sort m, -2, s in descending order.\nAnswer: s, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*h - 7793 = 58*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 22*c + 5. Calculate t(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 156*h - 48293 = 160*h, 4*v + 4*h - 38656 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2171153.6*-5\nAnswer: 10855768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3555744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -117, -98, -61, 0, 91, 218?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 3. Let i(z) be the first derivative of -3 + 0*z - 3\/2*z**4 + 0*z**2 - 1\/3*z**3. Let b be i(-1). Determine s(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*380\/(-722)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 52 (b) 5 (c) 0 (d) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.23 - 9.23. Sort 2, 0.4, f, -5 in increasing order.\nAnswer: -5, 0.4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.44, 2, -1\/7 in decreasing order.\nAnswer: 2, -1\/7, -2.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/12 + 205*m**4\/8 - 305*m**3\/3 - 731*m**2. Solve t(h) = 0 for h.\nAnswer: 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10976, 11168, 11362, 11558, 11756, 11956, 12158?\nAnswer: 12362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 8. Suppose 0 = i*c - 0*c - 112. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 0*u**2 - 1\/6*u**3 + 0 + 1\/12*u**4 + 34*u. Let w be q(4). What is the highest common factor of w and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 + 194074170*v + 1883239173059445 = 0. Calculate v.\nAnswer: -19407417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -3*b - 59 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -628327, -628338, -628349?\n\"Answer: -11*m - 628316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v = 10. Let s(n) = -n**2 + 5*n. Let m be s(v). Suppose -12*r = -14*r + 6. Sort m, -2, r in increasing order.\nAnswer: -2, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82860.99 micrometers to millimeters.\nAnswer: 82.86099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158011 is divided by 4512?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082642443 to the power of 1\/2, to the nearest integer?\nAnswer: 32904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -d + 2, 2*q - 9*d + 390 = -21*d + 100 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 27. What is the remainder when 40 is divided by m(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 23*z**2 + 17*z - 19. What is w(13)?\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1434 + 767. Let v = 666.9999656 + m. Round v to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 3765630828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -8*i**7\/105 + 13*i**6\/30 - i**5 + 7*i**4\/6 - 2*i**3\/3 + 2*i**2. Solve r(y) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5589\/7 + -797. Find the common denominator of 71\/4 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/6)\/((-1)\/(-6)). Suppose 7*l - 10 = v*l. Let j(b) = 3*b**3 + 7*b**2 - 5*b + 1. Let k(n) = n**3 + n**2 - n. Let p(s) = j(s) - 6*k(s). Give p(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 4*x - x)*(-x + 0*x + 3*x) + 4 + 2 - 2*x**2 - 4.\nAnswer: -6*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2930, 11660, 26230, 46634, 72866?\n\"Answer: -m**3 + 2926*m**2 - 41*m + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-2)*((-232)\/(-24) + 1). Solve 0 = 30*w - 42*w + t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4 + 16*z**2 - 15*z**2 - 1. Let w = -6 - -10. Suppose -3*d = 5*b + 10, d = -4*d - 2*b - w. Calculate s(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*n + 45. Let a(b) = 47 + n*b - 90 + 43. Let f(j) be the second derivative of -j**3\/3 - 2*j. Determine a(f(y)).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -50*q**2 - 9*q + 13. Let b = 215 + -222. Let m(r) = -24*r**2 - 5*r + 7. Let i(y) = b*m(y) + 4*w(y). Find the second derivative of i(t) wrt t.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 651.36, -0.4, 1 in descending order.\nAnswer: 651.36, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110157 - 17209 = 3308*s + 4954 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292700614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 0*u**7 + 0*u**3 - u + 0*u**6 + 5\/56*u**8 + 0*u**5 + 0*u**2 + 0 - 1\/2*u**4. What is the third derivative of x(f) wrt f?\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 257*w + 1 + 1 - 277*w + (-3 + 3 + 1)*(-2*w - 5*w + 5*w)*(3 + 3 - 5).\nAnswer: -22*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Suppose -b + 3*m - 8 = -2*b, -b + 3*m = -x. Suppose b*a - 44 = a. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -16. Let o = -12.1 - p. What is the third biggest value in -0.2, 2\/5, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16 + 38 + 39 - 13 + 28 + 192*l**4 wrt l?\nAnswer: 768*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/20)\/(6\/504))\/((13104\/(-182))\/720)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 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: What is the third root of 506314362 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122481 - 6972 + 69565 = 41*j. What is the lowest common multiple of 22 and j?\nAnswer: 49654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -144, -98, 18, 204?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -404140 (base 5) in base 13?\nAnswer: -5c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2340)\/(-117)*8\/80?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 - 19820*d\/3 + 19822\/3.\nAnswer: -2*(d - 1)*(d + 9911)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (8 + (-4 - -4) - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1709.626ml?\nAnswer: 1.709626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 > 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 0*o)*(0 + 0 + 3*o) + 201*o - 201*o + 75*o**2.\nAnswer: 69*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3662, 7384, 11106, 14828, 18550, 22272?\n\"Answer: 3722*f - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72591417 and 18819997.\nAnswer: 508139919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(-138)\/(-161) - (99358\/(-3010) - -15).\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-3)\/12). Suppose 4*t - t - c - 30 = 0, -m*t - c + 20 = 0. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*c**2 - 2*c + 274 wrt c.\nAnswer: 34*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.8505 to one dp.\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 p, and 1 j when three letters picked without replacement from jpjpppjcjjjpjjp?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 1.2. Let o = 20.6 - 20. Let d = k + o. What is the third smallest value in -0.5, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaafffffaaaaaaaaaaa. Give prob of sequence ffa.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j**2 - 6*j + 7. Let b(c) = c**2 - 2*c. Let r be b(3). Let g be z(r). Suppose 17 + g = 3*n. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101010 - -2?\nAnswer: 101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6099339 and 0.3.\nAnswer: 0.18298017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w - 48. Let v = -21 - w. Let q = v - -8. What is the nearest to 2 in q, -0.4, -5\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4396.732789 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2322110111110 - 2?\nAnswer: -2322110111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1369 + 2246. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 315377809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2786.9 kilometers in micrometers?\nAnswer: 2786900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 10*v - 8. Let i be n(-9). Let g = 26103 + -26102.7. What is the closest to i in g, 3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -158\/3, -0.3, 3\/7 in decreasing order.\nAnswer: 3\/7, -0.3, -158\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46950571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(19)*-5)**2 + sqrt(19) + ((sqrt(19) + 2)*6)**2).\nAnswer: -1303 - 145*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + (-6)\/(-15). Let l = x + 0. Suppose -2*g + 4 + 12 = l. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 17. Let x be p(-3). Let b = -98\/5 - x. What is the second smallest value in b, 0, 2\/9, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t - 2*t)*(4*t**4 + 4*t**4 + 5*t**4) + (2*t**3 - 2*t**3 + t**3)*(-t**2 + t**2 - 2*t**2) + 4*t**3 - t**5 - 4*t**3.\nAnswer: -55*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 4 = 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*(-16)\/((-448)\/63)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 2, p: 4, s: 2, o: 2, k: 1}. What is prob of sequence kphv?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-368)\/(-138))\/((4\/24)\/((-12)\/8)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + h + 0 + 0)*(-h + 2*h + 0*h) + (-3*h - 51 + 51)*(5*h - 4*h - 3*h) to a*h + l*h**2 + g and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*w + 76 = 4*w, 0 = -2*t - 3*w + 36. What is the greatest common factor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -41*q**2 - 7*q + 16. Let u(n) = -21*n**2 - 3*n + 7. Give 2*f(r) - 5*u(r).\nAnswer: 23*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - -1.05. Let s(k) = -k**3 + 9*k + 4. Let j be s(3). Let q be 0 - (-6)\/(j + 8). What is the biggest value in q, n, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1495718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:12 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f - 30 = -43*f. Suppose m - 1 + 4 = 5*w, f*w = m + 3. Which is bigger: w or -4\/105?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-9 - (-13 + 5))*-5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 - -205. Let m be ((-42)\/8)\/((-45)\/i). Solve y - 30 = m*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20735 and 25597?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16478.883us in days?\nAnswer: 0.0000001907278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 - 216*c + 844. Determine f(50).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-3)\/(-10))\/(6\/(-180)*138).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3957, -3727, -3497?\n\"Answer: 230*n - 4187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 3*a + a)*(-99 + 128*a**2 + 99).\nAnswer: -256*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -21. Suppose l*s = 2*s + 255. Suppose 0 = -k - 9 + s. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q**2 - 22*q - 7. Let s be x(3). Suppose 5*r + 10 = 0, -3 + 5 = -2*w + r. Sort -9, s, w in ascending order.\nAnswer: -9, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 + 23*r + 2. Let p(n) = -50*n + 45 + 43 - 41*n + 17*n**2 - 97. Give -9*m(o) - 2*p(o).\nAnswer: 2*o**2 - 25*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62528 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196 + 199. Suppose 4*q = -4*u + 3268, 0 = y*u + 3*q - 8*q - 2459. List the prime factors of u.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/334306050 and -163\/200583630.\nAnswer: 1002918150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggvgqvgh. Give prob of picking 2 g, 1 h, and 1 q.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 + 5*b**2 - 5. Let c be (-2 - -5) + (1 - -2). Let x be (-4)\/c - 15\/(-9). Let o(u) = u**3 + u**2 - 1. Calculate x*h(i) - 5*o(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**8*a**(8\/11) assuming a is positive.\nAnswer: a**(107\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - u. Let w(t) = -t - 4. Let q be ((-39)\/(-130))\/(12\/80). Calculate q*w(d) - 2*a(d).\nAnswer: -2*d**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-2 + sqrt(208))*-1 + -5 + sqrt(208) + 2 + sqrt(208))*-4*-4)**2 + -3.\nAnswer: -18432*sqrt(13) + 481533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -6*h**2\/13 + 20614*h\/13 + 6872\/13 = 0.\nAnswer: -1\/3, 3436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74773302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -40.23. Let x = l - 3.23. Which is the second biggest value? (a) 0.2 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 5, -75, -229, -481, -855, -1375?\nAnswer: -2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-24)\/9)\/((-3)\/27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 2*m - 1. Let s be d(-2). Suppose -c = -10*b + 10, 4*c - 4*b + 4 = 9*c. Solve -s*f + 0*f + 3 = c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -7*a**4\/12 + 7*a**3\/3 - 6611*a. Let u(y) = -2*y. Determine b(u(t)).\nAnswer: -28*t**2 - 28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4108\/11 + -374. Let g be ((-3 - 0) + 3)\/(-2). Suppose g = -21*p + 27*p. Is p at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 90962 = -6*t, -3*t - 2*o + 49882 = 4397. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 46. Suppose 0*h + k = -2*h. Let l be 15\/h - 14\/(-16). Which is the closest to 4\/3? (a) 1\/6 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7106493 is divided by 100.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 7 = 5*l, 4*m + 23 = -2*l + 3*l. What is the hundreds digit of m*(-7)\/(84\/1756)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2458 (base 9) to base 16.\nAnswer: -72b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -178, 1377 in descending order.\nAnswer: 1377, 16, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 10*o**2 + 55*o + 16. Let v be l(14). Which is the nearest to v? (a) -1\/6 (b) 0.2 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 565428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 + 5 = 0. Let g be 30 + (-42)\/7 + 1. Solve 26 = -5*x - 0*y + v*y, -g = 4*x - 3*y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.45 and 2.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**2 + 2*s - 2*s**2 - s in the form a*s + y + f*s**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 105899, 214157, 322415, 430673?\n\"Answer: 108258*w - 2359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 48 times -0.07766\nAnswer: -3.72768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7*q. Suppose 3*f - 19 - 11 = q. List the prime factors of 5*4*f\/20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + -0.1. Let a = -0.8 - w. What is the closest to 1 in 0.1, a, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 32 = 7*c - 11*c, 3*c - 16 = -5*z. What is the highest common divisor of c and 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1006765, 4027067, 9060897, 16108249, 25169117, 36243495, 49331377, 64432757?\nAnswer: 81547629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*s**4 + 40*s**4 + 25*s**4)*(3 - 2 + 0).\nAnswer: 107*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2345, 18200, 61345, 145424, 284081, 490960?\nAnswer: 779705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 4, j: 4, u: 1, v: 1, o: 7}. What is prob of sequence vj?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5381*u - 5384*u + 2 = 0, 5*u - 10 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -107013685*s**2*w - 147035246*s**2 wrt w?\nAnswer: -107013685*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(405) - (sqrt(405) - 2*sqrt(405))*-6 - sqrt(405)) + 4)**2 - (5*((-3*sqrt(405) - sqrt(405)) + sqrt(405))**2 + 2 + -1).\nAnswer: -3637 - 324*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2))**(14\/9)\/((k*k**(-1))\/k*k**2)*((k*k*k**(-8)*k*k)\/k*k*k**4\/k)\/(k\/(k*k**(2\/9))*k*k*k*k)**(-27) assuming k is positive.\nAnswer: k**(314\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**3 - 3*z**3 + 3 - 3 + 13 as n + b*z**3 + d*z**2 + o*z and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06543 + -248.93457. Which is the fourth smallest value? (a) -0.3 (b) 0.1 (c) r (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -955 + 1004. Let v(a) = a**2 - a - 5. Let m be v(6). Suppose 54*g = t*g + m. Solve 5 = -2*q - 2*r - 3, -g*q - 16 = r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -76016\/39, -2, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**3 + 22*t**3 + 25*t**3.\nAnswer: 25*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z - 7*z + z**3 + 0*z + 25 + 2*z - 14*z**2. Let i be r(14). Is -5 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f = -24*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 14 + 2 + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/60 - 11*l**4\/24 - 25*l**3\/2 - 1570*l**2. Determine f(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + i**3 - 4 + 2*i**2 + 3 + 2*i - 4 in the form f*i**2 + s*i + c*i**3 + o and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6561 * -221\nAnswer: -1449981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*w + 3711 = -162*w + 771 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -n + 15, 4*y + 2*n = -y + 40. Differentiate 24*v + 23*v - 54*v + 1 - y with respect to v.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68 - 43 - 20) + (0 - -1 - 25)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1507 + -1515. Suppose 2*m - 24 = -m. Let o be 2\/m + (-14)\/p. Solve -o*x + 4 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7689513 millilitres to litres.\nAnswer: 0.0007689513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9602*p**5 - 2*p - 1765 wrt p?\nAnswer: -192040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -173, -800, -1869, -3380, -5333?\n\"Answer: -221*v**2 + 36*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 21*q**2 + 78*q + 330. What is y(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + sqrt(75)*-1*-3))**2 + ((sqrt(432) + 0)*1)**2 + sqrt(432) + sqrt(432) + sqrt(432) + sqrt(432) + -2 + -3.\nAnswer: -2952*sqrt(3) + 17702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 - 8 = 0. Let g(o) = -o**3 - 2*o - 1. Let z = 7 + 0. What is the smallest common multiple of g(n) and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47182548 - -6307356.\nAnswer: 53489904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5257098?\nAnswer: 2, 3, 7, 11, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 2) + -30 + 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-1911772113596\nAnswer: -1911772113595.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3\/2, 0, -2.03, -0.2, -3.\nAnswer: -3, -2.03, -3\/2, -0.2, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -5*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5486*u - 300 = -5506*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5852*u - 76066. Calculate i(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/((-1344)\/(-20))*2\/(-5)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -19*j - 83. Let b be f(-5). Solve 2*a = -2*z, -b*a + 11*a + 2*z = -6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 7622835\/14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -476 + -94. Round q to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 = 13*k - 788. Solve 24*o - k*o + 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 108593396412.03\nAnswer: -108593396411.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.5 and 5?\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -84, -90, -110, -150, -216, -314?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34744363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-202)\/(-9))\/2 + 42\/(-189). Suppose l*t + t - 10524 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30680, -31066, -31686, -32540, -33628?\nAnswer: -34950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 5:05 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64836793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 3113, 2 in descending order.\nAnswer: 3113, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(33)*-5)\/sqrt(11))**2*1 + (sqrt(264)\/sqrt(8))\/sqrt(11) + sqrt(3456)\/sqrt(8).\nAnswer: 100 + 63*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q - 2. Let w(z) = 11*z - 4. Let m(n) = 7*n - 3. Let f(k) = q*m(k) - 5*w(k). Suppose 80 = x + 77. Determine f(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:31 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - m + 0*m + 1 + (0*m + 4*m - 3*m)*(-5 - 1 + 4) + 9*m - 11 + 11.\nAnswer: 10*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -41. Calculate the remainder when 20 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*4 + -6*2*sqrt(68))\/(((sqrt(20) - sqrt(720))*1)\/sqrt(5)) + 0.\nAnswer: 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2283 - 1343. Let r = 2325 - h. Let a = -8291\/6 + r. What is the common denominator of a and 40\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 16*f - 72*f - 6*f**3 + 4*f**3.\nAnswer: -f**3 - 88*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11.7 * -4\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -13 - -29 - 7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 438 divided by -270\nAnswer: -73\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 - 3*v + 1. Let y = -2 + -7. Let b be (y\/6)\/(1\/2). Is h(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3588*p**2 + 204 - 204 + 3*p - 4448*p**2.\nAnswer: -860*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s - 65. Let i = 20 - s. Suppose -3*o + 2*o = 3*u + 2, 2*u - 5*o + i = 0. Which is smaller: u or 2\/31?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*y - 36, y + 4*y + 2*s = 10. Suppose -y*i + 85 = i. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/(-246)*-3*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/8*408\/306)\/((-5)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20121001121 - 2211?\nAnswer: -20121011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 347074 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -60ee6?\nAnswer: 60eec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 59*g**2 + 6*g - 29. Calculate the least common multiple of 676 and m(3).\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10*v**3 + 4*v**2 - 4*v + 1. Let d(g) = -11*g**3 + 5*g**2 - 5*g + 1. Let q(t) = 1392*t - 2789. Let r be q(2). Give r*c(i) + 4*d(i).\nAnswer: 6*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101\/14 + 15\/2. Let x = -5.43 - -0.43. What is the closest to q in x, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.33391 + 0.297. Round m to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -4 + -3 + 7. Suppose -5*f - 3*d + 57 = -21, -2*d + p = 0. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 157 = 2*w. Let a = -14 - -10. Let x be (-40)\/(-6)*(-6)\/a. What is the greatest common divisor of w and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1422956 divided by 43\nAnswer: 33092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211 (base 3) to base 2.\nAnswer: -1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 - 1252 = -2*x - 3*k, 3*k = 2*x - 1446. Suppose -28*t + x = -25*t. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 3, -0.3, -1.65?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2078*h + 479*h + 514*h + 1088*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 38898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*x + 720, x + x + 4*p = -330. Let u = x - -322. Suppose -4*n + 7*n - u = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-116)\/(-174))\/(4\/4698)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -54.9. Which is the closest to -0.1? (a) d (b) -1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00052904 rounded to 6 dps?\nAnswer: 0.000529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 513.62973s in hours?\nAnswer: 0.142674925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3*m + 12 = 0, -17 = -3*z + 7*z - 5*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(4) + (sqrt(4) - (sqrt(4) - (sqrt(4) + sqrt(44)\/(3*sqrt(11)) + sqrt(4)) - sqrt(4)))))\/(sqrt(3) + sqrt(15)\/(sqrt(5)*-1) + sqrt(432)*-1).\nAnswer: -sqrt(7)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/143 + 300\/1001. Which is bigger: 1.14 or s?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k + 2*k)*(k**2 + 2*k**2 + 0*k**2) + (5*k**3 - 5*k**3 + k**3)*(1 + 1 + 0).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638.\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 22*j**2 + 95*j - 9. What is the thousands digit of q(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -42*d - 55. Let g(t) = -23*t - 30. Let n(r) = -6*f(r) + 11*g(r). Let p(k) be the first derivative of 5*k**3\/3 + 1. Give p(n(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 + p**2 - 2*p - 3. Let t be z(-1). Let l = -4 - -6. Let y(v) = 2 + 0 + v - 6 + v**l. Determine y(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 - 334*t + 2*t**3 + 3 - 332*t + 665*t to b*t**2 + f + q*t + y*t**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2491 - -2452. Which is the second biggest value? (a) -0.3 (b) -1 (c) x (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45 + 42880?\nAnswer: 42836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 1, d: 2, j: 1}. Give prob of picking 2 d and 2 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - v + v + 0*v to the form i*v + d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - l**2 - 1. Let u(h) = 7*h**3 + 17*h**2 + 24*h + 21. Let n(p) = u(p) + 5*y(p). Factor n(w).\nAnswer: 2*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 1140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + n + 6*n)*(2*n + 3 - 3)*(-1 + 0 - 1) to the form d + s*n + j*n**2 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -16 - (-14 + 11 - -27 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21897*d**3 - 2159737.\nAnswer: 65691*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -81565837470\nAnswer: 81565837473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 7) to base 6.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -501, -1008, -1515, -2022, -2529, -3036?\n\"Answer: -507*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 5 (c) -9.9 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = -3*w. Suppose 0 = 2*y - y + w. What is the lowest common multiple of (3\/y)\/((-6)\/32) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -514. Calculate the remainder when y is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*z = 6, -7*p + 9*p = -4*z + 12. Which is bigger: p or 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 8:29 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -3, -5161, -5.3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11866 - -11902. Let w be (2\/(-12))\/(2\/(-222)). Let i = -19 + w. Which is the biggest value? (a) r (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*t + 3. Put t, 3, -2 in ascending order.\nAnswer: -2, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {g: 2, i: 1, z: 1, e: 2, v: 1, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 0*k**2 + 0*k + k**3 - 3*k. Suppose m - 259 = 2*t, m + 14 = 15. Let i = t - -126. Give u(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 842.3 - 842. What is the closest to 1 in -2\/5, 2, d, 41?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**3 - w**2 + w + 1. Let x(l) = -21*l - 883. Let p be x(-42). Determine o(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 41.1. Let t = s + -16.1. Let j = 12 + t. Do 2 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -381*l - 20. Let w be h(-6). Let x be ((-6)\/(-4) + -1)\/((-11)\/w). Let k = -719\/7 - x. Is 8 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 6225 + 12484 = 6179 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 29 + -23 - (-19 - (4 + -2)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**4\/36 - o**3\/18 + 7*o. Let c(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 416737 - 416574. Suppose -2*r + 36 = -3*b + 5*b, 0 = -5*b + 5. Calculate the remainder when t is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3054, 3078, 3102, 3126, 3150, 3174?\n\"Answer: 24*c + 3030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24604\/116)\/(1\/(-1)). Let j = -212 - s. Let t = 38\/87 - j. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:25 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/169 or -6657?\nAnswer: -6657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.04 (b) 719 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 5*c**2 - 6*c + 34. Let n be r(5). Suppose u = o + 7, -2*u + n*o = 3*u - 34. Solve 1 + u = 7*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 130*v + 6630. Let m be a(-51). Suppose 5*y - 6*k + 2*k - 15 = 0, y = -5*k - 26. Let x be y*33\/24*1. Is x > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-9))\/((-4)\/6). Suppose 8 = -0*b + 4*b + 3*m, -b + q*m + 17 = 0. Let v = -2359 + 2365. Solve -7*o - v = -b*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -10. Suppose -m*s - 5*y + 2 = 6, -5*y = -5*s + 25. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + k**4 + 6*k**4 + (k**2 - k**2 - k**2)*(4*k + k**2 - 4*k) + 4*k**4 - k**4 - 4*k**4.\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 7657*v**2 - 3944*v**2 - 2*v. Let y = 187 - 188. Let n be h(y). Round n to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 114, 178, 260, 366, 502, 674, 888?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2693*t**2 - 57*t + 383. Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3858 = 29*u - 550. What is the remainder when u is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 13*g**2 + 10*g + 26. What is k(-13)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26983820 rounded to the nearest 10000?\nAnswer: 26980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2420 - 2422. Is -62\/75 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + y = -25, -2*u - 6 = -3*y - 21. What is the smallest common multiple of 5 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-496 + 306 + 236)*(j + 0*j + j)*(0 + 0 - 1).\nAnswer: -92*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + p = -5, -5*z + 10 = -2*z + 5*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -58. Suppose -5*i = -4*i - q, -c = -3*i + 18. Let p(w) = 3 - 6*w + 4*w + 4*w. Give p(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1385628 - -4?\nAnswer: 1385630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 26. Let u(j) be the second derivative of 0*j**2 + 1\/36*j**4 + 1\/18*j**3 - 10*j + g. Suppose u(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010428 rounded to 4 dps?\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**2. Let p(x) be the first derivative of 3*x**2 + 9 + 6 + 1 - 2*x**2. What is p(l(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/5, -0.3, 5, 0.476, 0.8 in ascending order.\nAnswer: -14\/5, -0.3, 0.476, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -6864111 at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 1, -6 in ascending order.\nAnswer: -6, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9081?\nAnswer: 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 179071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-9) - (-224)\/12. Suppose -z*o = -12*o - 14. Factor 3\/4*j**o - 1\/4*j**3 + 0 + 1\/4*j - 3\/4*j**4.\nAnswer: -j*(j - 1)*(j + 1)*(3*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149 + 3343\/22. What is the common denominator of -69\/16 and x?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4784\/31096*(12\/(-2))\/2\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4\/5 + 524*t**3\/5 - 16896*t**2\/5 - 17424*t\/5.\nAnswer: -4*t*(t - 66)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tys when three letters picked without replacement from {t: 1, x: 3, h: 1, y: 3, s: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhhmamahmhmhammmahm. What is prob of sequence mh?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3116536, -4.\nAnswer: -9, -4, 3116536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*u**4 + 3*u**4 + u**4)*((-2 - 4 + 7)*(-5 + 5 + 1) + 10 + 21 - 6) in the form r*u + x*u**2 + z + j*u**4 + p*u**3 and give j.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -0.6. Let j = -0.76 - u. Let h = j - 0.04. Sort 5\/4, h, -4.\nAnswer: -4, h, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 - 6*l**3 + 18*l**3 + l**3 - 50*l**3.\nAnswer: -33*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 27 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 3*y - 5. Suppose -5*v + 4*v = -2. Calculate the remainder when s(-2) is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6089 divide 58431160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-28)\/126 + (-974)\/(-252) + 1 and 5\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*t + 26*t + 21840. What are the prime factors of t?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*50.\nAnswer: -1850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 412095*l**2 + 8486785800*l - 178404282000.\nAnswer: 5*(l - 21)*(l + 41220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-11\/3)\/(v\/(v*v**(2\/29))))**(3\/19)\/(v*v\/v**(3\/7)*v*v\/(v\/v**(-3\/4))*(v**(-1))**(-1\/43)) assuming v is positive.\nAnswer: v**(-1600623\/663404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*z + u, 2*u - 4 = 0. Suppose z*r = r + 2. What is the smallest common multiple of 6\/15*(0 + 10) and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11426 divided by -1182.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + k = -36*b + 1295, b = -5*k + 319. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/7 (b) 0.013 (c) 3210 (d) -4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/3079 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.221 and 0.6?\nAnswer: 0.1326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -n - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 6 + 7)*(0 + 0 - 2)*(4 - 2*y - 4).\nAnswer: 52*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000505515 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 35 = -m. Let d = m - -46. Solve -y = -d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233010 + -1012123?\nAnswer: -1311133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*u + 4*u**2 + 605*u - 797*u.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303 - 11?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -1, -2, 10, -7, 4.\nAnswer: -7, -2, -1, 4, 10, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -50. Solve 0 = q*m - 5*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 18, 28, 34, 30, 10?\n\"Answer: -v**3 + 7*v**2 - 6*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9205)\/(-40) - (-2 - 1). Let m = -234 + n. What is the common denominator of m and -38\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -30*1*10\/16325. Let m = 36011\/5224 + o. What is the common denominator of -91\/2 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4 + 345*r**3 + 291045*r**2 - 875505*r + 584118 = 0.\nAnswer: -261, 1, 2, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 39364.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11588*q**2 - 13598*q**2 - 11660*q**2 + 36845*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4549 + -4544. Solve y*z = 2*h + 12, -4*z = -0*z - h - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -33*(8 - 4)\/4. Let t = i - -37. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2.17429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 3*o + 2*o + (-o + 1 - 1)*(-2 - 3 + 6) + o + 0*o + 2*o - 2*o + 0 + 0 + (-2*o + o + 3*o)*(3 - 2 - 3) - 3 + 13 - o + 3.\nAnswer: -3*o + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15797 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/162 and -37\/60.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2 + 150*k + 11. Let q(v) = -7*v**2 + 223*v + 16. What is 8*a(n) - 5*q(n)?\nAnswer: -5*n**2 + 85*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/2)*s*s)\/s**(-2\/15))**(10\/9) assuming s is positive.\nAnswer: s**(109\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 2, z: 2, t: 1, r: 1}. What is prob of sequence ty?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 29*m + 318. Let i be u(-11). Suppose 3*n - 4*n + 4 = 0. Put n, i, 30, 3 in ascending order.\nAnswer: i, 3, n, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32792427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.00848 + -8.82648. Let v = o - -9.1. Round v to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1836 and 77\/2.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.092? (a) -44 (b) -0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f - 2 - 6 + 5*f. Let j be v(-3). Let h(a) = -a**2 - 6*a + 1. List the prime factors of h(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 1181. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -9 - 26 - (-3 - -3)) + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -32, 6206, 28 in decreasing order.\nAnswer: 6206, 28, 5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*l - 11, t = -t + l + 22. Calculate the remainder when 24 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158067, 316102, 474137, 632172, 790207?\nAnswer: 948242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(84)*-6)\/(6*sqrt(24)\/sqrt(2)).\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 - 6*f. Let v be (-2)\/(-6)*15 - 6. Let t(n) be the first derivative of n**3\/3 + n**2\/2 + 1. Give v*d(j) - 5*t(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2. Let n(j) = -285*j**2 + 8*j. Let v(s) = -74385*s**2 + 2090*s. Let i(d) = 1045*n(d) - 4*v(d). What is u(i(t))?\nAnswer: -243675*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 696 divided by -58?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1094*b**2 + 12*b - 73. Is p(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15430*n - 13369*n = -35037 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - v - v + 118, 5*v - 118 = -2*h. Suppose -h = -7*w - 3. What is the least common multiple of w and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1748*w + 3498. Calculate d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 180445 at least as big as 180543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11208)\/30 - 4 - (-8)\/(-20). Let j = f - -396. Calculate the smallest common multiple of j and 33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018637756 rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1513 (base 16) to base 14.\nAnswer: 1d75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/5 + 3 + (-8)\/(-5). Suppose -v*y = 2*h - 26, -3*y - 4*h - h + 47 = 0. What is the highest common factor of y and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4456490167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(243)))**2 + ((1 + sqrt(108))**2 - (5 + (sqrt(12)\/sqrt(4))**2)).\nAnswer: 12*sqrt(3) + 1073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 14*z**3 + 3*z + 118*z**3 + 58*z**3.\nAnswer: 162*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*p + 9, 4*p - 6 = 2*p. Let k(v) = -2*v - 4*v + 3*v + 5*v + t. List the prime factors of k(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32285.\nAnswer: 5, 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (29 - (20 + 9)) + -6 - (-1 + -72)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*z - 2 = 0. What is the lowest common multiple of z\/8 + 9\/4 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**5 - 30*d**4 - 117*d**3 - 12*d**2 + 156*d = 0.\nAnswer: -2, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1285*-1841.3\nAnswer: 236.60705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 830 = 6*u - 1852. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.87472 to 2 dps.\nAnswer: -4.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 3*a + 39. What is c(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 23608.\nAnswer: 23608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-155)\/(-465))\/(6\/(-9)*(-10)\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 397522.35 + -465723\nAnswer: -68200.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000085013703 rounded to seven decimal places?\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**5 - 20*s**4 + 1056*s**3 - 6048*s**2 + 1728*s + 36288.\nAnswer: -4*(s - 6)**3*(s + 2)*(s + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 75618472*b + 357384581725924.\nAnswer: 4*(b + 9452309)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/583009 and -13\/63.\nAnswer: 5247081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000 + -11?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 - -110. What is the common denominator of (-6)\/t - (-2241)\/990 and -125\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozzz when four letters picked without replacement from {z: 6, d: 8, o: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, a: 3, f: 6, s: 4}. What is prob of picking 2 f and 2 s?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 + a**2 - a**2)*(-6 + 4 + 3) + 147 - 147 - 310*a**2 - 163*a**2 - 585*a**2.\nAnswer: -1053*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k = 36. Let h = -27 + 78. What is the remainder when h is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003318001 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t + 2*o - 13, 0 = -3*o + 6. Suppose 0 = l - 2*j + 7, 2*j - 16 = l - t*j. Let p(v) = 203*v**2 + v + 1. Is p(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**7\/70 + c**4\/6 + c**2 - 3. Let z(m) be the second derivative of y(m). What is the second derivative of z(n) wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*o + o. Suppose o = w - 7. Suppose 5*t + w = 265. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/((-7500)\/135)*2*2?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 0. Suppose o = y - 5*x - 3 - 8, 0 = -4*y + 2*x + 26. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/19296 or 0?\nAnswer: 1\/19296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8932?\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-29 + 29 - 14*h) + 11*h + 1 + 14*h - 14*h.\nAnswer: -17*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-60)\/(-16) + 62\/(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {w: 6, d: 6, b: 3, k: 2, s: 1, o: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 133274+0.3\nAnswer: 133274.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2246*q**5 - 8*q - 41?\nAnswer: -44920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(3\/3*(-52)\/26)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**2 - 6*q - 7*q**2 + 34*q**2 + 10*q - 3*q.\nAnswer: 42*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 730*(-127)\/6350*-5.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 + m - 1. Let i be z(1). Let p(y) = y**3 - 5*y**2 - 2*y + 7. Suppose 4*k + 0*k = 20. Let g be p(k). Put i, g, 4 in increasing order.\nAnswer: i, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p - 1. Let z(d) = 9*d - 3. What is -13*v(n) + 6*z(n)?\nAnswer: 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 310 times -1919\nAnswer: -594890","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 3569825461.9999717 + -3569825215. Let w = -247 + m. What is w rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 5538.\nAnswer: 22152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/7770 and 113\/11655.\nAnswer: 23310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70\/(-20)*(-2)\/7. Sort a, 0.03, -3\/5, 2 in increasing order.\nAnswer: -3\/5, 0.03, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.8 (b) 0.1 (c) -44 (d) 2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -92599 at most as big as 2212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 1 - ((41 - 73) + 32)) + -101\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -5) + (-5 - -3). Suppose 0*q - 3*q - 4*t = 59, -k*q = -5*t + 89. Let r be (-6)\/(-7) + q\/49. Is -1 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2 - 26*d - 8. Let s be c(-8). Suppose s*t - 244 - 180 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5*w = i + 89, -100*i + 296*i - 101*i - 94*i + 2*w - 32 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 180?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 7, 3, -17, -25, 0.\nAnswer: -25, -17, 0, 3, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12278.\nAnswer: 2, 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.253478703 rounded to four decimal places?\nAnswer: 1.2535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2938 is divided by 419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 5. Let b(q) be the second derivative of -3*q**3\/2 + 3*q**2\/2 + 40*q. Let h(r) = -4*r + 1. Let v(c) = -3*b(c) + 7*h(c). Give 2*d(s) + 5*v(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*k - 25, k = y - k - 5. Let c be 8 + 3\/(-2)*14\/21. Suppose 0 = -4*f - 4*t, 3*f + c*t - 3*t = -5. Sort y, -4, f, -3.\nAnswer: y, -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/30)\/((7 - 2)\/30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, -5, 3, 1446 in decreasing order.\nAnswer: 1446, 3, -5, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = u - 8, 2*u - 4*w + 40 = 7*u. Let m be ((-6)\/u)\/(2\/(-8)). Differentiate 3 + 2*f**3 - m + 2 wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589089.3 centuries in decades?\nAnswer: 5890893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 13 + -6 + (-64)\/(-8) + -22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.00000234 + -35. Round o to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -126 - 4?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10722 - -85729\/8. Let z be (-2)\/(-3) + (-12)\/(-56). Let n = -491\/126 - z. Calculate the common denominator of n and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1696 - -643. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivv when three letters picked without replacement from {r: 6, v: 3, i: 1, h: 1, q: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6534851.\nAnswer: 17, 384403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Let j(d) = g + 2*d - 4. Let k(o) be the first derivative of o**3 - 1. Give j(k(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 - -10) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 + 46. Let i = b + 7. Let z = i - -26.0006. Round z to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -31. List the prime factors of (-109)\/(0 - -1)*p.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/9 and -94\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 168\/9*(-5)\/4*-3. Let z = 145 - k. Calculate the highest common factor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 37 + 4*m - 34 - 45*m - 22*m + 14. Let q(g) = 21*g - 6. Give 4*o(b) + 11*q(b).\nAnswer: -21*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-2))\/5 - (-56)\/16. Let v(f) = -67 + 0*f + 3*f**2 - s*f + 82 - 7*f. Let p be v(10). Round p to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546*d + 549*d = 144. Calculate the remainder when 333 is divided by d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890079 plus -0.18?\nAnswer: 890078.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*i**3*x - 475*x wrt i?\nAnswer: 141*i**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73300.\nAnswer: 2, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-2 + 2)) + -1. Let h(d) = -3*d. Let t be h(-2). Let o be 623\/89 + (4\/(-8))\/(13\/178). What is the closest to t in w, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372778436687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 12:49 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -807*21.\nAnswer: -16947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*i - 0*o - 246, -4 = o. Let h = i - 21. Is ((-1)\/(1\/h))\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13\/438, -10, -0.86, 2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 11. Suppose 0 = -o + 17 + t. Let w = -30 + o. Calculate the remainder when 23 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 1, q: 4}. Give prob of picking 2 j and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 3*n + 7. Let w be p(5). Suppose -2*b + 3*x - 5*x = -10, w = 3*b + 4*x. Find k such that k - 4*k**2 + 4*k - 6*k + 0*k**3 - 3*k**b = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - u**2)*(0 + 1 - 3)*(10*u + 0*u + 12*u).\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.6 - -54. Which is smaller: 0.1 or j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**5)\/((g*g**(2\/7)*g*g*g)\/g)*((g**(-2\/5)*g)\/g)\/(g\/g**(-2\/5))*((g*g\/g**4)\/(g\/g**(1\/3)))**6 assuming g is positive.\nAnswer: g**(-528\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 285 and 2122145.\nAnswer: 604811325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165819 is divided by 23684?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 4*a**2 + 2*a**2)*(-2*a + a + 0*a + (4*a - a - 4*a)*(7 - 4 + 0)).\nAnswer: 8*a**3 + 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 135253122 (base 6) in base 15?\nAnswer: 39c53e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7.7 (b) -6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(8650 - 140*v - 8650) - 10*v - v + 2*v.\nAnswer: -289*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 r, and 1 p when three letters picked without replacement from fffcpcfprffrcrcb.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -10*r + 100. Let k be 76\/16 + (-2)\/(-16)*-6. Let c be (-3)\/(-6) - k\/8. Solve 5*s + 2*a = -r, -2*s + 0*s - a - 8 = c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*u = 0, 0*t - 5*u = -5*t + 25. Suppose -j = f - 71, 3*f = -2*j + 3*j + 221. Suppose 8*g = f - 17. Solve 22 = 5*w + t*q, -20 = 2*q - g*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/7)\/((-22)\/(-385)). Solve 0 = -2*d + n*d - 4*j + 3, j + 18 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -13*k**2. Let u(f) = 72*f**2. Suppose 0*d + 12 = 3*d. Suppose -2*r - 23 = -73. Suppose -d*h + r = h. Give h*u(q) + 28*w(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (15 - 16 - (3 - -1)) + -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z + 5. Let w(b) = 169*b. Calculate s(w(i)).\nAnswer: -676*i + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 2:52 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -14. Let u = 10.9 + r. Is -15 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188 and 10.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -40, 1, 0, 5, -1 in descending order.\nAnswer: 124, 5, 1, 0, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:49 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.8305 and 348.\nAnswer: 1333.014","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -3. Let n(c) = -22*c**3 + c**2 + c - 2. Let q be n(t). Let v(h) = 3*h + 1. Let f be v(5). What is the greatest common divisor of f and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44433*k + 15430*k - 33757*k - 42603*k)*(2 + 4 - 5) as g + d*k and give d.\nAnswer: -105363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/54073 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((f\/(f**(-5\/4)*f)*f)\/f)\/f)\/f)\/(f*f**(3\/11)))\/(f**2\/((f\/(f\/f**(-1\/5)*f))\/f)))**(-42))**(-18) assuming f is positive.\nAnswer: f**(-258741\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = 9*t - 116 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187175*a*b*r - 59421*a*r - 15*a - 7*b*r with respect to b.\nAnswer: 187175*a*r - 7*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 415773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7388735ml in litres?\nAnswer: 0.0007388735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 129*a**3 + 10*a**2 + 12*a - 5. What is the units digit of d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 + 2*t + 4. Suppose -3*k - 16 + 4 = 0. Let q be 4 + ((k - -2) + -12 - 0). Let h = q + 9. Let f(o) = 1. Calculate h*v(u) + 2*f(u).\nAnswer: -3*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -27, 95 in ascending order.\nAnswer: -27, -4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 433372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70533 - 352664\/5. Factor g*r**2 - 1\/5 + 0*r.\nAnswer: (r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 631 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -164. Let i = r + 468. What is the remainder when i is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5818470841 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170*n*w**2*z**3 + 36*n*w**2*z**2 + 3*n*z**3 + 57*n*z - w*z**3 - 2*w*z + z wrt w?\nAnswer: -340*n*z**3 + 72*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2968 and -1465792.\nAnswer: -1462824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*g**3*s*u + g**3 - 2*g**2*u + 14*g*s*u + 4*g*s - 51*g*u wrt s.\nAnswer: 37*g**3*u + 14*g*u + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 362005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mls when three letters picked without replacement from {l: 1, m: 2, s: 2, r: 1, o: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20172243 divided by 91\nAnswer: 221673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -10 - 8 + 25 - 12 - w**2 + 12*w. Suppose 3*o = -2*h + 23, -2*h - 6 = o - 27. Let b be z(h). Which is greater: 11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.49 times 0.1\nAnswer: 0.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - (-18 + 20) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*m - 214*m + 23*m - 26.\nAnswer: -15*m - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 2*h**3\/45 + 59*h**2\/15 + 596. Solve v(j) = 0.\nAnswer: -59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -b85?\nAnswer: b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1326.7065 months?\nAnswer: 1.10558875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8 + 2)\/48*2)\/(-1). What is the nearest to -1\/5 in 1, z, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*j - 14, -2*f + 4*f = 4*j + 4. Let u(w) = -14 - 26*w**2 + 24*w**2 + 0 + 27*w. Let y be u(f). Calculate the highest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 3*y**2\/2 + y - 3. What are the prime factors of f(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 6. Let v be j(-6). Suppose 2 = -v*d + d. Factor n**3 + n**4 - n - n**4 + d*n**2 - 2*n**4.\nAnswer: -n*(n - 1)*(n + 1)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4094 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10799 and 6.06?\nAnswer: -65441.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34021574 rounded to 2 dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**5 + 1455*y**4 - 66744*y**3 + 722304*y**2 = 0.\nAnswer: -528, 0, 19, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 0 - (-10)\/5. Solve -5*p + 4 + y = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 6*k**2 + 11*k - 3. Determine x(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1243623 + 2?\nAnswer: -1243621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**3 - 19*s**2 + 118*s - 131. Let t(w) = -76*w**3 - 208*w**2 + 1296*w - 1440. Let r(m) = -32*n(m) + 3*t(m). Let r(u) = 0. What is u?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, f: 3, g: 4, s: 2, e: 1, t: 6}. Give prob of sequence to.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -128.1851686 + 0.68\nAnswer: -127.5051686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 220*i - 1170. Let n be w(6). Solve 0 = -6*s + n - 174 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h - 53. Let x(f) = 54*f - 264. Calculate -14*i(a) + 3*x(a).\nAnswer: 8*a - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 1090*r**3\/3 + 538*r**2 + 581. What is the second derivative of l(z) wrt z?\nAnswer: 2180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 7 + 8)*(32 + 19*a - 32) - 2*a - 2*a + 6*a.\nAnswer: 249*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + t**2 + 6237*t**3 + 3889*t**3 - 77.\nAnswer: 10126*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**3 + 2*j**2 - j + 2. Let g = 786 - 710. What is the remainder when g is divided by x(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and (-10)\/(-5) + (562 - -45)?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -2*j + 20, -5*y + 186 = j + 206 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 2*w - 3. Let c be m(0). Suppose 19 = 2*l - 17. What is the remainder when l is divided by c + (-1)\/(3 + (-44)\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471955563*-1.\nAnswer: -471955563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74*3850864.\nAnswer: 284963936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*x - 21*x - 76. Factor -1\/2*n**2 + x*n - 2.\nAnswer: -(n - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -315 + 50?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*i + 19, i = 5*s - 4*i + 20. Suppose 7*c + 48 = 13. Sort s, c, -1 in decreasing order.\nAnswer: -1, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -176\/166995?\nAnswer: -176\/166995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 9*l + 99. Let w be n(-9). Do w and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1 (c) 0.8 (d) -1\/9 (e) 2\/7 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -50, -98, -166, -260, -386, -550?\n\"Answer: -m**3 - m**2 - 24*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b. Let d(a) = 2*a**2 + 4*a - 2. Suppose 3 = -5*f - 2. Let n(j) = f*d(j) + 4*z(j). What is the derivative of n(k) wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -343602*f**2 - 1008*f - 1512. Let g(p) = 3402*p**2 + 10*p + 15. Calculate 5*b(j) + 504*g(j).\nAnswer: -3402*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + z**2 + 1. Let b(m) = -3*m**2 + m - 7. Let i(p) = -p**3 + 3*p**2 - p + 8. Let t(x) = 4*b(x) + 3*i(x). Calculate -4*q(a) - t(a).\nAnswer: -a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -1302, -3, -0.1, 3, -1.1 in descending order.\nAnswer: 3, 0.14, -0.1, -1.1, -3, -1302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -31. Suppose -r*n + 3024 = 5*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 279, 199, 53, -171, -485, -901, -1431?\n\"Answer: -2*b**3 - 21*b**2 - 3*b + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = f - 37. Suppose 131 = 3*s - 79. Let g = f - s. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c**2 + 216*c**2 + 39*c**2.\nAnswer: 296*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-6)*(-28 + 25). Solve -o*j = -4*b - 13, -2*j + b = -6*j + 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4217085344?\nAnswer: 2, 29, 53, 179, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4651406?\nAnswer: 2, 2325703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -298552, -597215, -895882, -1194553?\n\"Answer: -2*s**2 - 298657*s + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000165287 rounded to six decimal places?\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 6:16 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22193 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {f: 10, g: 1, z: 1, r: 2, m: 3, h: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6)**(1\/7)*(l*((l*l**(2\/33))\/l)\/l)\/l**(12\/7))**(-28) assuming l is positive.\nAnswer: l**(736\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14311.\nAnswer: 11, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158 - -1016\/7. Let t be (372\/(-80))\/(315\/(-880)). Let m = t + s. Which is the smallest value? (a) m (b) -4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7810611, -15621221, -23431833, -31242447?\n\"Answer: -s**2 - 7810607*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = -5*h, -4*q + 13 = 2*h + 5. Put 9, q, 2, -2 in ascending order.\nAnswer: -2, 2, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/4 + 5*a**3\/3 - a**2 - 3*a + 1. Let q be z(4). Find the second derivative of -4*m + 0*m + m**q + 9*m wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 8 + 4. Suppose -x*l = l - 21. Solve 0 = -4*w - l*a - 6, 0 = a + 4*a + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u. Let m(l) = -44730060*l. Calculate c(m(j)).\nAnswer: 134190180*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.59 - -0.3. Let b = 0.51 + q. Let d = b - 16. What is d rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7831 - -1308?\nAnswer: 9039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(sqrt(51)\/((sqrt(3) - (2*sqrt(3) - sqrt(3))) + sqrt(3)) + sqrt(153)\/(1*sqrt(9))))**2 + -1.\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7310 by 3655.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:03 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/13)\/(l\/l**(-8\/9))*(l\/(l\/l**47))\/(l*l**(1\/7)))**23 assuming l is positive.\nAnswer: l**(829679\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 7\/6 (b) -238 (c) -2\/3 (d) -42 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-3) + 0 + 11. Let n be (6 + 9)*r\/6. Suppose -l + n = 5. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -614 - -12784469608.\nAnswer: 12784468994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -337 + 337. Suppose v = 15*b - 23*b + 168. Calculate the highest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/(5\/3). Let l = -0.07 - 0.43. Which is the nearest to u? (a) 0.5 (b) l (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 2*m + 3. Let n(s) = -3*s**2 + 7*s - 10. Let j(p) = -7*b(p) - 2*n(p). Let o(k) be the first derivative of j(k). Let i = 8 + -1. What is o(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2094 and 2\/15.\nAnswer: 10470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32490692 and 5132?\nAnswer: 32490692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 10*j**3 - 2*j**3)*(0*j + 2*j - 4*j) + 3*j**4 - 3*j**4 - 2*j**4 + (6*j - 4*j + j)*(-2*j + 2 - 2)*(6*j**2 - j**2 - 3*j**2).\nAnswer: -34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*b**3 + 16*b**3 + 20*b**3 - 21*b**2)*(0 - 3 + 2) as g*b**2 + z + s*b**3 + p*b and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 8*j + 10 = -4*r, -16 = 2*r - 4*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543756198 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*3\/81*-3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.4 in 4\/5, -5, 1.3, -1, 0.1?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggpg when four letters picked without replacement from {p: 7, g: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from ffcfvfmvcffmcffvc?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.9041 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.94 - -0.06. What is the smallest value in k, -5, 4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25.6 + -21. Let w = k - -0.4. What is the second smallest value in 4, 0, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5629?\nAnswer: 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 + 568*f - 1738*f + 588*f + 572*f + 172.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 289*g**3 + 564394*g**2 - 367829574*g.\nAnswer: 1734*g + 1128788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*a - 1, -4*a = 7*n - 4*n - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-105)\/(-14) + (-3)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -530 + -536344?\nAnswer: -540204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-1\/2)))**(-33))**(2\/81))**32 assuming q is positive.\nAnswer: q**(352\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 769 divide 8092956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 95.7898423 from -1.\nAnswer: -96.7898423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/4)\/((-6)\/(-24)). Let o(d) = 3*d**2 - 38*d + 28. Let j be o(12). Solve h - j = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*d + 24 = 603, 0 = 4*j - 4*d - 584. What is the remainder when j is divided by 80?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-3 + 1)) + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185499616*p**5 + 5*p**2 + 3298454*p.\nAnswer: -11129976960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*i - 80, -4*x = -5*x - 3*i - 1. What is the remainder when 26 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170962 is divided by 1301.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 30 + 13 = 93. Sort i, 285, 3 in increasing order.\nAnswer: 3, i, 285","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 20*t**2 + 47*t - 61. Let g be s(22). Solve 0 = 5*v - 5, 5 = -g*f + 3*v - 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2874 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.05 - 0.05. Let b(p) = p**2 + 4*p - 7. Let m be b(-6). Let s be 83\/7 - 1776\/148. Put s, m, x, 3 in increasing order.\nAnswer: s, x, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 1345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 - 4 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1\/4, 17, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-24)\/14)\/(26\/(-455)) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5*p - p - 2*p - 5*p as m*p + h and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529946097.\nAnswer: 3, 176648699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 6:11 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uivp when four letters picked without replacement from iuuuipipvu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcllz. Give prob of sequence ll.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -45143926.8 to the nearest 1000.\nAnswer: -45144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-1 + 3 - 1)*(-51 + 51 - 55*c)*(-4 + 3*c**2 + 2 + 11*c**2) as v + d*c**2 + g*c**3 + i*c and give g.\nAnswer: 1540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 52*w**3 + w + 1. Calculate z(-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 486 and 439314300?\nAnswer: 3953828700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 19 + 283*k - 77*k.\nAnswer: 206*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -21. What is the closest to -0.1 in 0, c, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5*y = 33, -3*y - 19 = g - 6*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 4:15 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6806 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (183 - 187 - (0 - -7 - 2)) + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/4)\/((-3)\/(-4))*64\/(-144)*21?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**6\/120 + 11*v**5\/30 + v**4\/12 + 61*v**3\/6 - 2*v**2 + 18*v. Calculate the remainder when 542 is divided by h(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 692 - 164 - 191 - 199 + 19*k - 138.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1132126711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**3 + 15*g**2 - 2*g - 7. Let r(f) = 6*f**3 + 15*f**2 - 2*f - 6. Let d(c) = 4*r(c) - 5*s(c). What is the second derivative of d(n) wrt n?\nAnswer: -6*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 2. Suppose -3*o + 8*o = 0. Suppose o = 2*r - 8 - 0. Let h be z(r). Solve -3*y = 2*u + 13, 0 = -y - u + h - 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36857525153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 21*s**2 + s + 23. Suppose 3*d - 4*z - 102 + 27 = 0, -4*z = 4*d - 72. Determine b(d).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/8 + 5401*b\/8 + 59895\/2.\nAnswer: -(b - 5445)*(b + 44)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/25*45\/(-6). Which is the second biggest value? (a) 4 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1231733 to four dps.\nAnswer: -0.1232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -830705?\nAnswer: 830706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23483 is divided by 11693?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13453.000078992 - -13453. Round y to 6 dps.\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 46. What is the remainder when 75 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 135430*m**3 + 2 - 216181*m**3 + 3*m**2 - 98973*m**3 - 6*m - 312275*m**3. Let b be y(1). What is b rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 2:58 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 2*b, 0 = -3*b - b + 8. Let q be (-2220)\/(-666)*(-12)\/(-10). What is the highest common divisor of c and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g - 5*o + 15, 3 = -g + 4*o. Let p = -8 - -6. Let y = 14 + -17. Sort y, g, p in decreasing order.\nAnswer: g, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -32, -1.\nAnswer: -32, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**3 + 2*u - 1. Let z be b(1). Let h = z - 1. Sort 4, -4, h in descending order.\nAnswer: 4, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -10. Suppose 0 = 4*p - 5*b - 120, -5*p + 0*p - g*b = -150. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -4 - 3)*4250. Round m to the nearest one hundred.\nAnswer: -25500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660.7 + 140.04236?\nAnswer: 1800.74236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3077295 (base 11) to base 8\nAnswer: -24547221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**4\/3 + u**3\/3 + 3*u**2. Let p be ((-2)\/(-5))\/((-10)\/50). What is w(p)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:52 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 86*((-2091)\/(-82) - 25)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2.2. Let y = t - 2. Let p be ((-27)\/(-36))\/(15\/(-16)). Sort y, 6, p in ascending order.\nAnswer: p, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17056.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*(y**(2\/7)\/y)\/y*y)\/y)\/y)\/y*y**3\/y)\/((y*y**(3\/2)*y)\/y*y*(y\/y**(-2))\/y*y) assuming y is positive.\nAnswer: y**(-101\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72.9951 - -73. Round a to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -610917, -610933, -610949, -610965?\n\"Answer: -16*l - 610901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 13. Suppose -2*n + 14 = o*n - k, 0 = -k - 4. Is n\/9 + 61\/9 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -70. Solve -2 = -h*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3200?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 8 = 0, -3*g - 10 = -5*s - 50 - 16 - 27 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 484497615 a multiple of 4830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 10:02 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.08 and -41852996944.\nAnswer: -41852996944.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 2*o + 8*o + 0*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 10*y + 10. Let z be d(-5). What is the common denominator of (-3)\/(-45)*(-258)\/(-8) and 6\/z + (-454)\/40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11331 - 2?\nAnswer: 11323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6241.11264s to weeks.\nAnswer: 0.0103193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**5 - 485*y**4 + 7315*y**3 + 85225*y**2 + 76750*y - 545000 = 0.\nAnswer: -109, -5, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 >= 326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s. Let x be ((-43)\/2795)\/(5\/(-50)). Which is the biggest value? (a) 6 (b) x (c) s (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 13*q**3\/6 + 156*q**2 + 2*q + 4. Let f be n(-24). Put 3, 45, -2, f in decreasing order.\nAnswer: 45, 3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*u**5 - 60*u**4 - 85*u**2 - 45*u + 75128 wrt u.\nAnswer: -280*u**3 - 720*u**2 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -10. Let h be 0\/((3\/3)\/1). Sort -0.2, x, h in ascending order.\nAnswer: -0.2, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-23)\/((c**(-3\/19)\/c)\/c))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 10*f + 3. Let h be a(-10). Suppose 5*d + 54 = l - 0*l, 4*l + h*d - 285 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9760790 = 23*v - 9763021 for v.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 0*x - 3 + 2 + 4*x + 0*x - 2*x + (3*x + 4*x - 2*x)*(16 - 46 - 21).\nAnswer: -251*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 384\/60*5 - (-44)\/20*5?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 18*m + 26. Calculate the remainder when 49 is divided by x(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545136 to the power of 1\/2, to the nearest integer?\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6348 in 4, -1\/7, -1\/10, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/918*2 - 20470\/621.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -52. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + 4 + sqrt(17) + sqrt(102)\/sqrt(6)*6)**2.\nAnswer: 64*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.2 - 6.2022. What is q rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15270 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.51\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*1\/(-2)*13. Let v(q) = 4*q**2 + 13*q - u*q. Let x(a) = -8*a. Determine x(v(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.460485 times 42?\nAnswer: 19.34037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17175.\nAnswer: 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n + 68*n + 64*n = 3696 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 12*s**3 + 15*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75400 and 1006200?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 5*h + 2. Let c be g(-5). Let s(l) = -3*l + 5*l**2 + 1 - 5*l**c + l**3. Let x be s(2). Let p(o) = -o + 7. Calculate p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2. Let i(s) = s**2 - 19064*s + 3. Determine i(w(c)).\nAnswer: c**4 - 19064*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Let k be x(5). Suppose 4*q - k = -q. Calculate the least common multiple of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 5. Let t be x(-5). Suppose t = -2*r - 8 + 36. Calculate the smallest common multiple of r and 11\/11*25*1 + -3.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-7.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1801 - 9381. Let j = 1884 - q. Suppose j = 6*z - 1762. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 394 = 121. Let m = 55 + z. Let h = -40 + m. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 y when three letters picked without replacement from {d: 2, w: 4, y: 2, j: 2, g: 4}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 16 - 68 = y, 0 = -4*f - 4*y + 360. Let x = -55 + f. 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 the fourth root of 152998172 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180 - -1612\/9. Let k(w) = -2*w**3 - 23*w**2 - 30*w. Let t be k(-10). Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**4\/4 + 5*d**3\/3 + 3*d - 1. Let c be k(5). Solve 0 = -c*q - 4*i + i + 6, 0 = 5*i - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -149 + 21. Suppose -2*a = -k - n, 2*a - 3*k = -2*a + 130. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1100) - (sqrt(1100) - -1*sqrt(1100)))\/sqrt(4) + -4)*1.\nAnswer: 4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 30. Suppose 4*j - 2*j - 8 = 0. Suppose -j*f = -7*f. Is c(f) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 7. Let z(k) = -26*k - 62. Let y(j) = -10*c(j) - z(j). Let g(b) = 3*b + 5. Calculate -8*g(m) - 5*y(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2326 - 1?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 7) to base 5.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -0.2.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01174 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1600363 and 0.5.\nAnswer: 800181.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = d, -3*d - 3*c - 12 + 3 = 0. Let q be ((-2)\/(-5))\/(d\/(-4)). Suppose -4\/5*v - q - 2\/5*v**2 = 0. What is v?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4988 - 2965. List the prime factors of t.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 10*m + 99. Calculate the highest common divisor of 176 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 11*z + 14. Let a be r(5). Let x be 2\/(-3) - 8\/(-3). Suppose -x*b - 1 = a. What is the closest to b in -2, -4\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270\/(144\/(-8))*(-2)\/70?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6234 and 1571.\nAnswer: 1571.6234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.1. Let t = -0.2 - -0.3. Let x = 0.2 + 0.3. What is the nearest to i in 2\/9, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 57645774 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38039220 divided by 27.\nAnswer: -1408860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3693 or -4?\nAnswer: -3693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:08 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 3. Let c be g(10). Suppose -c*t + t + 37032 = 0. Let n = 4345 - t. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 3\/13*i**2 - 2*i + 0 + 5\/39*i**3 + 1\/78*i**4 - 1\/130*i**5. Factor s(c).\nAnswer: -2*(c - 3)*(c + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*m + 4366 + 593 = 129 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -3)\/(-14 + 13). Solve -7*o - 9 - 12 = f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 11*t + 10. Let f be o(-10). Solve f = -0*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 58 = 21*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -699 - 3c?\nAnswer: -6d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**2\/2 + 9*t - 3. Let k be r(-4). Solve k*y = l - 20, 2*y = -0*l - 3*l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 37*b**2 + 3*b - 1. Let t be x(1). Solve 0 = 4*w + 43 - t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109690 divided by -21938.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 39 + 3478*l - 27.\nAnswer: 3478*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -69974, 4, 1 in decreasing order.\nAnswer: 4, 1, -5, -69974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18910 and 0.2.\nAnswer: 3782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -103, -368, -885, -1738, -3011, -4788?\nAnswer: -7153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152*y - 14381 = 54739 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3859 * -1.\nAnswer: 3859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 2, 130, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 3*n**2 + 0 + 1\/30*n**5 + 0*n**4 + 0*n + 0*n**3. Let r(o) be the second derivative of -3*o**3\/2 - 5*o. Give d(r(y)).\nAnswer: 162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 166 divided by -491\nAnswer: -166\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b - 24. Let v be p(7). Suppose -6*x = -3*x - 825. Calculate the greatest common factor of x and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16538 and 9236473?\nAnswer: 18472946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13541607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**10\/u**(-24)*u*u**12*u\/u**(-25) assuming u is positive.\nAnswer: u**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 21 (c) -0.17 (d) 587\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 5*a - 4*z - 88, 4*a - 2*z - 94 = 0. Find the third derivative of 117*w**4 - a*w**2 + 408*w**4 - 267*w**4 wrt w.\nAnswer: 6192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/495*-6)\/((-62)\/(-155)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 743.606703 seconds in weeks?\nAnswer: 0.0012295084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i. Let l(v) = 18*v. Let b(m) = -l(m) + 15*t(m). Let q(p) = p**2 + 17 - 17 - 8*p**2 - 3*p + 0*p. Give q(b(d)).\nAnswer: -63*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 + t**3 - 7*t**3 + t**3 - 24*t.\nAnswer: t**3 - 24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -20. Let q = -2.2 + 10.2. Let x = o - q. What is the third biggest value in -3\/2, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1 + 1 - 5*u - 4. Let t = -377 - -372. Let a(k) = k**3 - 9*k**2 - 68*k + 11. Let h be a(t). Let y(i) = -i - 1. What is h*n(z) - 6*y(z)?\nAnswer: z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 0, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from hekhkkehceccpkukheuk.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 8*t**2 + 5*t + 20. Let i be s(7). Calculate the lowest common multiple of 8 and ((-40)\/i)\/((-58)\/87).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -363 + 368. Solve -k = -f + 2, -3*k - 5*f + 16 = -s*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from vivvivvssvvvsvvsvvxi.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 2 + (-2 - 1). Let h be j\/(3 - 6 - -5). Solve -4*f = -5*i + 36, h*i + 24 = -f + 5*i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-5\/4))*z*z**4\/z)**34*(z\/(z**(1\/4)*z*z*z))**(-2\/17)\/(z**(2\/13)*z**(-1)) assuming z is positive.\nAnswer: z**(39694\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**5 + 266454*h**4 - 266428*h**4 - h**5 + 140*h**3 - 392*h**2 = 0.\nAnswer: -14, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 5:33 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -17*b + 1536. Is b a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090978 = -46*o + 1090150 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -2 (c) 2.605\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4 + 0*y + 0*y + 2*y - y. Let q = 3 + 0. Give g(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686\/9 not equal to 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*o**3 + 5 - 4 - 27*o**3 - 2*o**2 + 1 + 223*o**3 as k*o + v*o**3 + w*o**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110011101101000 (base 2) in base 4?\nAnswer: 132131220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4 - 141*n**3 + 600*n**2 - 612*n = 0. What is n?\nAnswer: -51, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6851 + 6926. Solve t*q = -485 - 115 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11464 and 308392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**5 + 29*z**4 + 21*z**3 - 21723*z**2?\nAnswer: -60*z**2 + 696*z + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*c = 10, -5 = 2*k + 3*c - 0. Solve 4 = o - j, 5*j + 22 = o + k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2 - 2)*((4 + 1 - 4)*(-2*r + 3*r - 2*r) + 0*r + 4*r - 2*r - 19 + 19 + 4*r).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14104740 to the power of 1\/2, to the nearest integer?\nAnswer: 3756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.11, 2\/13, -0.6 in decreasing order.\nAnswer: 5, 2\/13, -0.11, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3 - 14*z**2 - 82*z - 66 = 0.\nAnswer: -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = -5*o + 5*g + 30, o - 22 = -4*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 146164176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5100*k**2*o + 26*k*o + k + 378227*o with respect to k.\nAnswer: 10200*k*o + 26*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 450 (b) 133 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*t**3 - 65130*t**2 + 3736135*t + 681450 = 0 for t.\nAnswer: -1239, -2\/11, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus -0.38218?\nAnswer: 13.61782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-28085\nAnswer: 2808.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*h + 21. Let z = 9 + h. Put -2, 5, z in decreasing order.\nAnswer: 5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8*z + 3*z = 0, 2*j = -5*z. Let v(i) be the third derivative of 0*i**4 + 0*i + j*i**3 + 0 - 1\/120*i**5 - 4*i**2. Solve v(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/13 + 187550*a**2\/13 - 2063376*a\/13 - 7878024\/13 = 0. Calculate a.\nAnswer: -93786, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 20752?\nAnswer: -1\/20752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.7618711 microseconds to days.\nAnswer: 0.00000000027502165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*o**2 + 67*o**2 + 3*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 991 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*w + 200567 - 203822 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (252\/(-24))\/((-2)\/(-4)). What is the nearest to -1 in 2\/7, 0.03, 0.4, g?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*h**3 - 2*f*h**2 - 60*f*h + 17*h**3 wrt h?\nAnswer: -6*f + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370 and 18685.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 510 - 2541?\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*((c\/(c*(c\/(c\/(c\/c**0)))\/c))\/c)\/c*c*c*c)\/c)\/c)**20\/(c**(2\/5)*(c**(2\/7)*c)\/c)*(((c**(1\/3)\/c*c)\/c)\/c**(-1\/3))\/(c**0)**(-41) assuming c is positive.\nAnswer: c**(1993\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 1084888*u**3 - 73560288388*u**2 + 147123831456*u - 73562458176.\nAnswer: -4*(u - 1)**2*(u + 135612)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - (-1 + 0 + -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 168.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7943.168l in millilitres?\nAnswer: 7943168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/(-90))\/((-11)\/99)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 1 - -8)\/((-5)\/(-2)). Suppose 0 = i*p + 5*n - 83, n = 6*p - 7*p + 40. What is the remainder when p is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, j: 1, b: 4, h: 2}. Give prob of picking 1 b, 1 h, and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*x + 3661 = 840 - 532 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 108, 116, 122, 120, 104, 68, 6, -88?\n\"Answer: -h**3 + 5*h**2 + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0579, 2, 1.2, 12, 0.3, 134 in descending order.\nAnswer: 134, 12, 2, 1.2, 0.3, 0.0579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**6\/480 - p**5\/16 + p**4\/2 - 11*p**3\/6 - 101*p**2. Factor g(h).\nAnswer: (h - 11)*(h - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33381166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 168*x**3 - 21 + 655*x**3.\nAnswer: 823*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u - 1. Let c be a(-1). Let s(y) = -y**2 + 7*y - 7. Let t be s(5). Suppose -t*k + 8 = -13. Solve -c*q = -5 - k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -10*u**2 + 102*u - 13. Let y be 3\/(-5 - (-53)\/20*2). Let s be q(y). Solve -s*b + 20 = -11*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.005.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 13. Give d(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -123.\nAnswer: -5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -26.6. Let y = m - -4.6. Let u = -4.2 + 3.2. Is y not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -14. Let t = w + 18. Let k = 228 - 223. What is the smallest value in t, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5635*-2.6.\nAnswer: -14651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 + 9.5. Let p = z - 41.6. Let g = p + 30.4. Round g to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113922 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -36. Let a = 4 + 2. Suppose t = a - 2. Calculate the least common multiple of m and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**2 - 61*r**3 + 87*r**2 + 59*r**3 + 27*r**4 - 11*r**2 wrt r?\nAnswer: 648*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxqq when four letters picked without replacement from {n: 1, b: 1, h: 2, x: 4, q: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 7 + 1, 0 = 5*d + r - 88. Calculate the remainder when 35 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 5*x + 2*x + (2 - 2 - 2*x)*(0 - 2 + 4) + 93 - 93 + 6*x to s + n*x and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/210 and -41\/7103642?\nAnswer: 106554630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.27, 2, -3\/2, 3.3 in ascending order.\nAnswer: -3\/2, -0.27, 2, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 12. Let m(p) = -4*p + 3. Suppose -4*n + 2*r = 40 + 10, 3*n + 35 = r. Calculate the remainder when m(n) is divided by o(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34, -131, -316, -607, -1022, -1579, -2296, -3191?\n\"Answer: -3*o**3 - 26*o**2 + 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1922921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18547)\/1091*(0 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = 3. Suppose 0 = -6*g + 10 + 8. Suppose -62 = -2*p + h*n, 0*p + g*p - 4*n = 97. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -9\/7*y - 12\/7 + 9\/7*y**3 + 15\/7*y**2 - 3\/7*y**4 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -23 (b) 4.17 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4264676010 - -3?\nAnswer: -4264676005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 158347560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1483 is divided by 81.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in decades?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 = -4*t - 0*p, -p + 15 = 5*t. Find the third derivative of -10*i**t - 22*i**3 + 39*i**2 - 33*i**2 - 5*i**3 wrt i.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3546314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 - -39. Let g be (-7)\/49 + l\/(-7). Solve -2*q + 11 - 5 = -3*k, 35 = -5*q - g*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 100 (b) -4 (c) -158 (d) -0.2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - l - 1)*(-3*l**3 + 7*l**3 - 3*l**3) + 4*l**4 - 5*l**4 - 7*l**4.\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9272060 divided by 2?\nAnswer: -4636030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1512)\/(-105))\/8 + (-57)\/(-10). Find c such that -3 - 3\/2*c + 3\/2*c**3 - 9\/2*c**4 + j*c**2 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13637561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-6)\/(-1))\/((-6)\/(-8)) and 1*(0 + -4 + 18).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 303?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -343*f**3*u**2 - 3*f**3*u - f**3 + 13*f**2*u**2 - 780*f**2 + u wrt u.\nAnswer: -686*f**3 + 26*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - 187. Is -256 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1275 (b) 3\/16 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 173703781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42*37\/32116)\/((-9)\/12*-4).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 22855.\nAnswer: 2\/4571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.211597 millimeters to nanometers.\nAnswer: 9211597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 88\/131, 2\/269, -4?\nAnswer: 88\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -1415?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1\/10, 2, -2, 5\/6 in decreasing order.\nAnswer: 2, 5\/6, 2\/7, 1\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 153967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 6:37 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9 - 9\/135. What is the closest to 10 in 2, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(-2\/9)))**(-26) assuming n is positive.\nAnswer: n**(-286\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*t**3 + 2*f**2*t - 2*f*t + 54*t**4 - 10 wrt t?\nAnswer: 6*f**2*t + 648*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 4*r + 1. Let j be s(-2). Suppose z + 1 + j = 0. Let h(a) be the first derivative of a**2\/2 + 5*a - 957. Give h(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**2 - 269*v - 245. Calculate n(-53).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.7 rounded to zero decimal places?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-2\/5))\/(g*g\/(g\/(g**(-2)*g)))*(g*g\/(g**(-6)\/g))\/g*g\/(g*g**(1\/2)))\/((g**2*g)\/(g**(-1\/2)*g)*(g*g*g**(2\/7))\/g**(-3)) assuming g is positive.\nAnswer: g**(74\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2358*r**2 - r + 1. Let q be o(1). Suppose -37*a + 32*a = -10. Suppose 5*z + a*x = -q, -7*x = -5*z - 2*x - 2330. Round z to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*u + 286 - 286)*(4*u**2 + 0*u**2 - 3*u**2) + u**3 + 0*u**3 + 2*u**3 + (0*u - 3*u + 5*u)*(0 + 2*u**2 + 0).\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/21541 and 109\/26.\nAnswer: 43082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/12*-3*-6. Let v be (512\/(-24) - -3)\/(4\/(-12)). Put v, -2, x in descending order.\nAnswer: v, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.044 + 4.656. Let u = d + -0.7. Which is the nearest to 2\/5? (a) 1 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 72*d = -68*d - 4, 4*f - 112*d = -114*d + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 141\/(-27) - 8\/(-36). Let b be (-4)\/(-10)*(7 + 3). Suppose -2*y + 3*w + 11 = 3*y, -9 = -y + 4*w. Sort y, b, s.\nAnswer: s, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8050 - -18384. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 2*u + 3*u)*(3 + 17*u - 3) + u**2 + 0*u**2 + 0*u**2 + (-4 + 2*u + 4)*(2 - 2 + u) + 3*u**2 + u**2 - 3*u**2 + (-5*u + 2*u + u)*(0*u - u + 0*u).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - y + 24 = 0. Suppose -m + 16 = 4*d - 125, -5*m = y*d - 753. Suppose 0 = -i - 0*i + m. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14546785.\nAnswer: 5, 11, 264487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (9 - 23) - 32\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 616.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.4324 less than 0.0465?\nAnswer: -33.3859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3 + 72*h**2 - 108*h - 1080 = 0. Calculate h.\nAnswer: -3, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19881282.7174 take away -5?\nAnswer: -19881277.7174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 58*q**2 + q + 3. Determine g(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(475) + sqrt(475)) + sqrt(475))**2 - (-3*-2*sqrt(475))**2.\nAnswer: 13300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 1, 0.43184, -8, 4\/5 in increasing order.\nAnswer: -8, 2\/15, 0.43184, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dfdddfqdffffqffq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*2*sqrt(832) - (sqrt(832) + -5 + sqrt(832)*-1 + sqrt(832))) + -5)**2.\nAnswer: -14976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1. Let v(r) = -2*r + 6. Suppose -4*s + 7*s = 357. Let a = 118 - s. What is a*v(p) + 6*l(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*h**3*k**3 - 2*h**3*k**2*v - 62*h**3*v**4 + 7*h*k**3*v**3 - 2*k*v wrt v.\nAnswer: -744*h**3*v**2 + 42*h*k**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 5065.\nAnswer: 5064.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59356 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 1132*t**2 + 767*t**2 - 1536*t**2 as m*t**3 + y*t + f*t**2 + i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/6)\/((-6)\/(-8)). Suppose -g*r - 2*r = -1172. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9665827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Suppose -5*c + 2*d = -10, -5*c - 5*d + 4 = -3*c. Suppose 4*k + 4*o = -b*k - 24, 0 = 2*o + c. Let s(h) = 2*h + 7. Calculate s(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 7*x - 7. Suppose 5*g - 7 = -0*g + u, u - 1 = g. Suppose -g*o = -4 - 6. Suppose -z - 3*b - 2 = -9, 0 = z - o*b + 33. Determine c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*c - 34, -5*s = -s + c + 51. Let b = s - -18. Solve -3*g = y - 12, -g - 5*y + 0 = -b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fefeefefeefte. Give prob of sequence ffte.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322021132 - 1200?\nAnswer: -322022332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -96*w - 584. What is b(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 + -14dcc?\nAnswer: -15037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -693, -791, -1081, -1659, -2621?\nAnswer: -4063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 8. Let n be p\/1 - (-17 + 2). Solve 5*y - n = -2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4289357 * -3\nAnswer: -12868071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y + 9 - 15*y + 5*y - 3*y**2.\nAnswer: -3*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + 382*(-8)\/336)*(-34629)\/204. Factor -g*c**2 + 16*c + 1\/6.\nAnswer: -(c - 1)*(97*c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2997 - 3006. Let t(x) = 13*x**3 + 61*x**2 - 9*x + 9. Let i(f) = 3*f**3 + 15*f**2 - 2*f + 2. Give r*i(l) + 2*t(l).\nAnswer: -l**3 - 13*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15222 is divided by 406.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 6. Let b be ((-18)\/8)\/(9\/36). Let r be a(b). Suppose -r*f + 2*s = s + 3, -2*f + 4*s = 2. What is the closest to f in 0.4, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3444022 - -251?\nAnswer: -3443331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/936731 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17502.\nAnswer: 2, 3, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 6:26 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 = -4*x, x - 2 + 0 = -4*u. Let t = 117 - 111. Let b be 18\/(-27)*t\/4*-1. Is u <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 11:07 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -21 - 6 - 13.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20678.342 + -20682. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -267.91 - -268. Let m = -13.3 + 11.9. Is m equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21590.81 to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/(((-78)\/(-52))\/(1\/(-2))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 25*x**3 - 10*x**3 - 2*x**2 - 37*x - 4 + 37*x. Let h(m) = 7*m**3 - m**2 - 2. Calculate -13*h(a) + 6*z(a).\nAnswer: -a**3 + a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 27. Let b(c) = 14*c**2 + 1. Let d be b(-2). Suppose -2*i + a = -d. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148058 is divided by 229611.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(1\/2)\/w)\/w)**5)**(-26) assuming w is positive.\nAnswer: w**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22903562 is divided by 11451762?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3402165 divided by 1095\nAnswer: -3107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 30 (b) -1 (c) -0.3 (d) 0.069\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyyuuqyquuyyq. Give prob of picking 1 h, 1 q, 1 y, and 1 u.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 100100011?\nAnswer: -100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-16)\/160 - 116\/(-35).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9763 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4\/3 + 1364*r**3\/3 + 79664*r**2\/3 - 128651072*r\/3 - 431031040 = 0.\nAnswer: -276, -10, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 37\/56 - (-6 - 255\/(-40)). Sort -1\/2, h, 0.5 in increasing order.\nAnswer: -1\/2, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 1\/82, -1\/4, -4, -2?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*w - 3*w - 18 = 0, -5*w - 10 = 5*t. Let m be (t\/(-12))\/(4\/1284). Let q = m - -43. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -7, 52718\/11, 0.3, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249059650?\nAnswer: 2, 5, 7, 59, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**3 - 200*h**2 - 170*h + 1154. Calculate r(34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -19) + 3 + (-1 - -6) - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 0*r + 35. Let q = -6197 - -6198. Calculate the greatest common divisor of r and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x. Let c(d) = -3*d**2 - 3*d + 1. Suppose -5*j + 3*j + 19 = -3*h, 5*j - 16 = -3*h. Suppose b = j*b - 4. Calculate b*c(w) + 4*k(w).\nAnswer: w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -42*z - 107. Determine a(-8).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*l, 2*v + 2 = 5*l + 31 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25128 divided by -36\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2 - 5*r + 2. Let g(n) = 338*n**2 - 13*n + 10. Let k(p) = -38*p**2 + p - 1. Let b(j) = -g(j) - 9*k(j). What is 4*b(c) + 3*x(c)?\nAnswer: 7*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 3950 = -5*w - 3*n, -5*n - 10 = 0. What are the prime factors of w?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338*m**4\/7 - 2652*m**3\/7 + 1562*m**2\/7 + 2040*m + 1400.\nAnswer: 2*(m - 5)**2*(13*m + 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -230?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 20 = 4*s, g = -0*g + 2*s - 10. Let d(x) = -x**2 + 7*x - 4. Let r be d(6). Solve g = -2*v - 0*v - 5*f - 2, -20 = -4*v + r*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 + 5*a + 4. Let g(v) = v**2 + v + 1. Let f(i) = c(i) - 5*g(i). Let q be f(-1). Let u(p) = p**2 + 9*p - 15. What is the units digit of u(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/13? (a) -1 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/9)\/((-16)\/(-6)). Which is the closest to s? (a) 1\/11 (b) 3\/7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - 4*j + 7. Calculate the smallest common multiple of 2 and t(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + 2 + sqrt(720))**2*-3*3 + (sqrt(720) + -4 + -5*sqrt(720) + 3)**2)*4.\nAnswer: -57740 - 3072*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i. Let x(u) = -u**2 - 3*u. Let w(c) = -c. Let l(v) = -3*w(v) + x(v). Determine z(l(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5248 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeeewwwe. Give prob of picking 1 w and 1 e.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**4 + 15*p**3 + 171*p**2 + 285*p + 132 = 0?\nAnswer: -4, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06173, -2\/619, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 2*j + 30, -4*j + 17 = k + 2*k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q + 4*z = 28*q + 1344988, 2*q + 538015 = -5*z. Round q to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 117. Let q(r) = 4*r**2. What is b(q(c))?\nAnswer: 12*c**2 - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/14)\/(84\/(-392))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c + 5*p + 57, -5*p - 334 = 5*c - 409 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -273. Let f = j - -223. Solve -4*z - 4*d + 4 = -0*d, -f = -5*z + 2*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8245\/8 in -1\/5, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11318 - 11337.243. Let d = b - -9.1473. Let z = 10.1 + d. Round z to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 6*i + 4. Suppose 1 = -2*w - 7. Let b be r(w). List the prime factors of (b - -1)\/(2\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-2) + 86 + -51.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*n = -65*n + 184 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6268 + -6244. What is the smallest common multiple of b and 526?\nAnswer: 6312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + v - 3*v - 3 + 6*v**2.\nAnswer: 6*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 63139993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-10))\/((-1)\/(-75)). Calculate the greatest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.35231 and -1.118.\nAnswer: 0.39388258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/602*5\/1?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a century in months?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7735258 nanometers in micrometers?\nAnswer: 0.0007735258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/11 and -27\/30710.\nAnswer: 337810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 33*t**2. Let m(k) = 65*k**2 + k. Determine 3*m(q) - 5*u(q).\nAnswer: 30*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35702251 to the nearest integer?\nAnswer: 5975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + 1 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 5*l**2 - l + 5. Let w be (-150)\/(-39) + 4\/26. Give u(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64799420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6913 at least -6914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-90)*2)\/(4\/(-5)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22382 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 5. Let z(k) = -3*k - 1. Let y be z(g). Factor f**2 + 1 - 3*f**2 + f + f**y + 3*f**4 - f**3 - f**3 - 2*f**4.\nAnswer: (f - 1)**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 0.2, 219, -2, -5, -0.5, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 13 = -4*d. Let z = -55 + 57. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131060800 a multiple of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 44. Suppose 11 = -2*d + d, -42*m + 5*d + 63 = -44*m. Put -1, i, 5, m in decreasing order.\nAnswer: i, 5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -3\/5 (b) -2 (c) -0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqqeeqfc. What is prob of picking 1 c and 1 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 39645248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/5 and 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3031*z - 114 = 3038*z - 3*d, -2*z = -3*d + 24 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 480 and 4401000.\nAnswer: 17604000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 421376, 842748, 1264122, 1685498, 2106876, 2528256?\nAnswer: 2949638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*d = -23 + 423, x - 213 = -5*d. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5201*k**3 + 2*k**2 - 2. Is j(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39307 + -39307.043086. Let i = m + 0.043. What is i rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 4:45 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*s = -11, 0 = p + 6*s - s + 7. Let j be 0\/(-5) - 3\/(-1). Suppose x - 3*y - 8 = 2*y, p*y = -j*x + 6. Solve -2*m + x - 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhhh when four letters picked without replacement from {h: 9, x: 9}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -58905 less than or equal to -58905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 - -81\/2. Let y = 17707\/21 + -6836\/21. Let n = y + -1069\/2. What is the common denominator of n and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 12. Suppose -26*l + 8214 = 11*l. Let w(z) = -2*z**2 - l - 3*z**2 + 235 + 2*z**2 + 2*z**2. What is -4*f(x) + 3*w(x)?\nAnswer: x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 + -3)\/(-1) - (38 + -418) is divided by 178.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6360 divided by -1590?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/144 and -101\/38128.\nAnswer: 343152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -59*y**2 + 1533*y + 19. Give x(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 65.3359 decades?\nAnswer: 0.653359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2001 and 5467905?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*s = 20, -a - a = -s - 5. Suppose 18 = -3*w + 5*n, 0 = -3*w - 3*n - a - 18. What are the prime factors of 1*26*(-3)\/w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y + 864271*y**2 - 3*y**3 + 8*y - 432122*y**2 - 432149*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 155, 341, 599?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 55 = -340. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:00 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12362439331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -234419\/20 + 11725. What is the common denominator of c and -49\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/270)\/(((-4)\/2)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4938 - -7447. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 48*h + 208. What is the units digit of p(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 883714*c + 3. Let a be o(-7). Let f = a + 9585995. Round f to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 654 = -753. Calculate the remainder when 1672 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203 - 133. Calculate the highest common divisor of 196 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468.1594 litres to millilitres.\nAnswer: 468159.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y + 18 = 0. What is the highest common divisor of 63 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 104631 = 11*f - 5*k, -4*f - k = -418566. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 549898\/66429 - 3\/14762. Find the common denominator of l and 101\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 7 + 4 + 2*z + z**3 - 3*z**2. Let s be j(3). Let a = s - 6. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -217, -5, 2 in decreasing order.\nAnswer: 20, 2, -5, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 13*j**2 - 12*j + 4. Let r be a(12). Factor 12*f**4 + 162*f**3 - r*f - 22*f**2 - 2*f**4 - 170*f**3.\nAnswer: 2*f*(f - 2)*(f + 1)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208003119 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a919 (base 16) to base 10.\nAnswer: -43289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1350 by -150.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396809?\nAnswer: 7, 56687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.735825 months to years.\nAnswer: 1.56131875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*o - 114 = 53, -5*c + 209 = 4*o. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 4. Let i(n) = 2*n - 9. Let v(z) = 3*i(z) + 7*l(z). Let r = 101 - 104. Calculate v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39.79 and -9.445?\nAnswer: 49.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3\/3 + 1496176*b**2 - 419701305660*b - 42814722072904\/3 = 0. Calculate b.\nAnswer: -34, 561083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*j - 2*j**2 + 37*j**4 + 43*j**4 - 65*j**4 + 51*j wrt j?\nAnswer: 180*j**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*(-45)\/105*-9*(-5712)\/459.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -209*z. Let u(h) = 2*h. Determine u(y(v)).\nAnswer: -418*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {q: 3, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4*h = 4*c + 11, 4 = -h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.603 rounded to the nearest integer?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38275.056 - 38275. What is the second biggest value in c, 4\/7, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltwt when four letters picked without replacement from fwtfwwtlw?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**12\/j*j)\/j)*j\/(((j*j**(-6\/13))\/j)\/j))**(-1\/12)\/(j*j*j*j**(5\/6)*j*j*j\/j**(-12)*j*j*j)**(5\/19) assuming j is positive.\nAnswer: j**(-1264\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 210100 (base 4) in base 7?\nAnswer: 6523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1236 (b) 1\/193 (c) -5 (d) 0.4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.4, -12, -5\/3 in decreasing order.\nAnswer: -5\/3, -3.4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(2*(sqrt(72)\/sqrt(6) + sqrt(12) + sqrt(12))))**2 - (2*(1*sqrt(20) - sqrt(20)) + sqrt(20))\/sqrt(4).\nAnswer: -sqrt(5) + 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-8 + -9) - ((28 - -3) + -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562\/(-62) + (-694)\/(-10757).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 13\nAnswer: -17\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -95. Let c = -20 - f. Suppose -r = r - c. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 2*i**2 - i**2 + 2*i**2 - 2*i**2 - 2*i**2 + 3*i**2 + 2*i**2 - 3*i**2 + (-i - 1 + 1)*(i + 2*i - 5*i) + i - i - i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbw when three letters picked without replacement from {w: 2, b: 2, r: 1, d: 1, l: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 12*b - 18. Let n be y(10). Sort n, -0.4, 7.\nAnswer: -0.4, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*m - 50*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.036742 to three dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-197659 + -3)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18466 divided by 120.\nAnswer: -9233\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*8\/6*1)\/((1932\/(-385))\/(-138))?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) 2 (c) 0.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-8)*(-7*3 - (-22932)\/972)\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22629635*u**2 - 62604738*u wrt u?\nAnswer: -45259270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -4, 9\/2, 1.3 in descending order.\nAnswer: 9\/2, 1.3, 0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -604114 rounded to the nearest ten thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-47)*h))\/h)\/(h**(3\/10)*h) assuming h is positive.\nAnswer: h**(447\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40991?\nAnswer: 179, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfctntccttfw. Give prob of picking 1 w and 2 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 29*u**2 + 49*u - 140. Give w(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.83 + 0.8. Let w = -37.048 - -0.048. Let o = w + 40. Which is the nearest to 0? (a) o (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4798 + -47931\/10. Calculate the common denominator of m and -127\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n. Let a(r) = -5*r. Let f = 20 - 18. Calculate f*t(c) - 5*a(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3 + 7*n + n - 12 + 1.\nAnswer: 8*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0870791 and -9.6?\nAnswer: 9.6870791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 1 (c) -1 (d) 7 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 71022.\nAnswer: 142044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - (57*8\/(-24) - -1). Solve -32*i + 21 + n = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17194 - 2295. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k + 4*k + 20 = 0. Let g(w) be the third derivative of -1\/12*w**4 - 1\/6*w**3 - 1\/60*w**5 + w**2 + 1\/30*w**6 + 0 + 0*w. Give g(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5847*l**3 - 5*l**2 - 1243*l**3 + 3*l**2 - 12 + 12 to o*l + j*l**3 + k + i*l**2 and give j.\nAnswer: 4604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 35*o + 11. Let n be w(-19). What is the tens digit of 724\/14 - (3 - n\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564883 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Suppose -h = -b + 5*p - 3, 3*b + 4*p = 13. Suppose 2*s = 3*o - 4, -5*o + s = -b*s - 4. What is the smallest common multiple of o and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + j**3 - 2*j**4)*(9 - 9 + j).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1760 and 29322480.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 173 + 37. Let x = a + -40. Suppose -2\/3 - 7\/3*d**x - 3*d = 0. Calculate d.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -979903782, -1959807563, -2939711344, -3919615125, -4899518906?\n\"Answer: -979903781*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0 + 0*b**5 - 1\/300*b**6 + 0*b + 1\/525*b**7 + 0*b**4 + 25*b**2 + 0*b**3. Suppose o(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/5))**18*((t**(2\/3)\/t)\/t)**(-3\/7)*((t*t*t*t*t**(-2\/19)*t*t)\/(t\/t**12))**21 assuming t is positive.\nAnswer: t**(243497\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 1.1. Let z = 1\/14 + 3\/7. Let q = 40\/3 - 443\/33. Which is the closest to h? (a) z (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -35*l - 4. Determine c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/5)\/(v\/(v**(-1\/2)*v)*v)*(v**(1\/3)\/v*v)\/v*v\/((v\/(v\/((v\/(v**(3\/4)\/v))\/v)))\/v))**7)**(3\/16) assuming v is positive.\nAnswer: v**(-259\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-527)\/(-310) + 6\/(-5))\/((-8)\/(-3008)*-4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)*l)**(3\/34)\/(l*l*l*l**1*l**7) assuming l is positive.\nAnswer: l**(-185\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*k**3\/4 + 79*k**2\/4 + 7*k\/2 = 0. Calculate k.\nAnswer: -7, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 17 + 3)*(0*d + 0*d - d).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3))**(-9)\/(l**11\/l**(-38\/3)) assuming l is positive.\nAnswer: l**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*(14 - 18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -14*z**3 + 5*z**2. Let d(r) be the second derivative of 3*r**5\/4 - r**4\/2 - 506*r. What is 5*d(h) + 6*i(h)?\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -2*p - z + 49, 0 = -4*p - 5*z + 246. Let l be -1 + 0 + 10\/2. Suppose -l*q + p = -12. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 46.18. Let z = -0.32 + k. Let c = z + 0.1402. Round c to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2639908 = -16*x + 2640372 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -36. Suppose -2*o + 2*u - 24 = o, 5*u = 2*o + 5. Let m be (-34)\/(-6) + o\/15. Solve 3*k = -3*q + z, 4*q + q - m = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 146\/9 - 4\/18. Let l be (78\/9)\/(r\/(-102)). Let n = l - -55. Which is the closest to n? (a) -5 (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 355846 or -5\/3?\nAnswer: 355846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -6\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661*w + 14*w = 160*w + 71016 for w.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhtwhgh. Give prob of sequence gtwm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*j**2 - 5844*j**3 + 5844*j**3 - 12*j**5 + 0*j**5 - j**5 + 2*j**5 + (0*j**3 + 0*j**3 - j**3)*(-j**2 + 3*j**2 - 3*j**2).\nAnswer: -10*j**5 + 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22046 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**4 - 2*v**3 - 2*v**2 - v + 2. Let q(o) = -o**3 - o**2 + 1. Let r(d) = -n(d) + 2*q(d). Find the second derivative of r(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -6. Suppose -65 = -v*k + k. Suppose 0*q - 4*z = -2*q + 16, 3*z = -6. Calculate the remainder when k is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370\/200 - ((-32)\/(-20) - 1).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*x, 4*x + 1 = x - 2*o. Is 14\/15 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5873 - -5877. Solve -o*l + 28*m = 23*m + 8, 0 = -5*l - 2*m + 23 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**3 + 2*s**2 + s. Let p be r(-1). Suppose 13*h = p*h + 176. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1179248692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 5) to base 6.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1337934469 to the nearest integer?\nAnswer: 36578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 24*h**3 + 3*h - 3. Let n be k(1). Let s be -1*n + 2\/(-16)*2. Is s at most as big as -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -61246\nAnswer: 122492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.04, 1, 3, 0.18, 3\/67?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -10363*m**4\/4 - 4*m**3 - 5*m**2\/2 - 3*m + 3024. Find the third derivative of x(d) wrt d.\nAnswer: -62178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(((-5)\/15)\/((-2)\/(-6))). Let a(c) = 4*c**2 - 2*c + 1577. Is a(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/7)\/(24\/(-28)). Let t(l) = -3*l**3 - 2*l**2 + 1. Let w be t(1). Let u be ((-6)\/w)\/((-45)\/(-12)). What is the closest to u in -5, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 9*b**2 + 14*b + 4. Let r(v) = -v**3 - 9*v**2 - 13*v - 3. Let f(u) = 5*i(u) + 6*r(u). Give f(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5 - 4. Let o = a - -5. Suppose -4*t - 53 = -5*t. Calculate the remainder when t is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 8*o + 4*f + 38, -438*f = -5*o - 440*f - 37 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/20)\/(62*44\/156860).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 3627 = 2*b + 7*w, -3*b + w + 5460 = 0. What are the prime factors of b?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udooudhodd. What is prob of sequence odu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13012 (base 4) in base 2?\nAnswer: -111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*n - 8*j - 4, 0 = n - 5*j - 17 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.2. Let p = 35 - 34. Let z be (-30)\/50*(-90)\/(-27). Put p, r, z in descending order.\nAnswer: p, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7 = -2*i. Let p(r) = 7*r**3 + r**2 - r. Calculate p(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -279*x**2 - 3*x + 76502?\nAnswer: -558*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 15204?\nAnswer: 60816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 5*n**2 + 4*n + 6. Let l be t(6). Let f(c) = -c**2 - 5*c - 1. Calculate f(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.281442 millennia in years?\nAnswer: 8281.442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.46505\nAnswer: -2.32525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 132886 divided by -66443\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 570 + -571. What is the nearest to 33 in -3, y, -5\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2624001 + -3?\nAnswer: 2623776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 7, 0.341, 0.2, 0, 1441 in increasing order.\nAnswer: 0, 0.12, 0.2, 0.341, 7, 1441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 27, -2, -2100.\nAnswer: -2100, -27, -2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 9:16 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/9)\/s*s*s**(-14\/3)*s**(-5)\/(s\/(s*s\/s**(-1\/5))) assuming s is positive.\nAnswer: s**(-391\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (6 + 54)*(0 + (-77)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2123*u**3 + 10 - 3135*u**3.\nAnswer: -5258*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 293206 by -34.\nAnswer: -146603\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 1. Let i(c) = 3*c**2 - 8*c + 7. Let w(k) = i(k) + 6*s(k). Let b(n) = -n**2 - 10*n - 8. Let j be b(-1). Determine w(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 6*s + 2*s + (0 - 2*s + 0)*(10 - 26 - 14) + (3 + 2 - 6)*(-4*s + 3*s + 4*s) - 2 + 2*s - 4 + 4 in the form n*s + q and give n.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**2 + 18*t + 4. Let s be i(2). Solve c - 3 = 0, 3*n - n - s = -2*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 less than 22169444?\nAnswer: 22169443.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 99 = -3*k, -5*k - 59 = d + 124. Let b = 70 + k. Calculate the remainder when b is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2\/7 - 108*u = 0. Calculate u.\nAnswer: 0, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 1, w: 1, d: 1, l: 1, v: 1}. Give prob of picking 1 d and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -6\/5 + 1086\/5*m**2 - 143*m = 0?\nAnswer: -3\/362, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6900 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**4\/12 + j**3\/6 - 10*j**2. Let m be o(1). Solve 8*n - m*n = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -29 + 0 + 35.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 19*c**5\/60 - 3*c**4\/4 + 16*c**2. Find the second derivative of s(i) wrt i.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.027*96.036\nAnswer: 2.592972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 241.272.\nAnswer: 2895.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 110774*w + 3987216.\nAnswer: (w + 36)*(w + 221512)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3085 <= -0.003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*d - 22, -3*d - 14 = 5*n + 21. Which is the nearest to 2? (a) n (b) 5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56*z**2 - z - 2 - 46*z**2 + 85*z**2 + z**4)*((1 + 3 - 6)*(2 + 1 - 2) + 0 + 2 - 4)*(-2 - 4 + 48) as v*z**4 + j + u*z**2 + s*z + d*z**3 and give v.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 15. Let z(c) = c**3 + 4*c**2 - 5*c - 2. Let p be z(g). Which is bigger: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001925 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 786*d**4 + 3*d**2 + 0*d**2 - 789*d**4 + 2*d**3 to the form m*d + r*d**4 + i*d**3 + h*d**2 + c and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 12*k**2 - 9*k - 48. Let x be h(13). Solve p - 3*d + 12 = 2*p, -x*p - d - 7 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 + -8 + 0 - (-6 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 94010 and 94017 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -461, -930, -1413, -1916, -2445, -3006?\n\"Answer: -a**3 - a**2 - 459*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 2*g**2 - 2*g - 30. Let r be v(0). Let o = 29 + r. Let c(q) = -264*q**3 + q**2 + 2*q + 1. Is c(o) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 356941.8 millennia?\nAnswer: 3569418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13698 is divided by 2663?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -109*m - 154. Let c(g) = -223*g - 308. Let t(w) = -3*c(w) + 5*y(w). What is the derivative of t(x) wrt x?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1724490 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 11 - 9 = 0, 0 = -3*p - 3*i + 18. Let k be (3 + 1)\/4*3. Solve k = o - p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -3\/4 (c) 138 (d) -4 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/14))\/g*g*g**(-8\/5)\/g)\/(g*g**(1\/4))**(-5) assuming g is positive.\nAnswer: g**(661\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Suppose -f*x + q + 65 = 0, x - q - 35 = -0*q. Let m = x - 2. Calculate the greatest common divisor of m and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-4) - 12) + 3. Let a be 3\/y + 20\/6. Determine v so that -3*v + 8*v**2 + a*v**5 - 2*v**2 - 5*v**4 - v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15419 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36664, 36696, 36728, 36760, 36792, 36824?\n\"Answer: 32*g + 36632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2653, 5428, 8191, 10936, 13657, 16348?\nAnswer: 19003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -18. Is y > -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 536116 and 58972760?\nAnswer: 58972760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1800000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 12:45 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from {x: 1, r: 11, l: 7}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose -5*j - 10 = 0, 5*g + 5*j = 7*j + 24. Solve 0*y - g*y + 12 = a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(468) + 5.\nAnswer: 1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -32.21. Let x = 6.59 - 6. Let g = c + x. What is g rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-14)*(-5 + (-370)\/(-50))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -41*p**2 - 20. Let x(z) = 13*z**2 + 6. Let l(q) = -3*s(q) - 10*x(q). Let b(y) = 58*y - 2. Determine b(l(k)).\nAnswer: -406*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from {u: 5, x: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 41*x - 110. Let b(h) = -20*h + 56. Suppose 25*d = 28*d + 3*f - 27, 3*d - 11 = f. Let q(a) = d*b(a) + 3*l(a). Differentiate q(z) with respect to z.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1428*n**2 + 2912580*n - 2912580*n)*(-3*n - n + n) + (-n + 0*n + 2*n)*(-2*n + 2*n**2 + 2*n) + 2*n**3 + n - n.\nAnswer: 4288*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 5*d = -100. Let a = -34 + d. Suppose 3*q - a = 4*v - 0*v, -4*v = -q. Solve -6 - q = -2*z + o, -z + o = -9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3 = u, 0*u - u = 3*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33\/10 - 13\/4. Let h(u) be the second derivative of u**2 + 0*u**4 + 0 - 2*u + 0*u**3 - o*u**5. What is the derivative of h(t) wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523, -1135, -2793, -6019, -11335, -19263, -30325?\nAnswer: -45043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6256 and 3968.\nAnswer: 1551488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -54, -80, -106?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 5*q + g, 4 - 13 = 3*g. Let y be ((-25)\/(-5))\/(15\/q). Let z be y\/45 - 17\/15. Which is the third smallest value? (a) z (b) -25 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.16 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**3 + 0*q**3 - 6*q**3 + (0*q**2 + 5*q**2 - 3*q**2)*(4 + q - 4) - 2*q**3 + 5*q**3 - 2*q**3 - q**3 + 0*q**3 + 5*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 13. Let r be (0\/1 - -3) + -4. Sort -4\/3, r, k in ascending order.\nAnswer: -4\/3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 69*n - 484. Let z be h(7). Which is the closest to 0? (a) 0.1 (b) z (c) 1\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -11, -46, -117, -236, -415, -666?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -188900153 and 254.\nAnswer: -188899899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/147 and 29\/801?\nAnswer: 39249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -238, -178, -118, -58, 2, 62?\n\"Answer: 60*r - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.01, -1\/3, -3, -32\/19?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 51*l**2 - 250*l + 116. Does 16 divide r(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/15 (b) 0.3 (c) 1\/6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*r**2 + 24*r**3 + 1 - 162*r**2 as z*r**3 + a*r + u + y*r**2 and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -899, -6665, -22139, -52175, -101627, -175349, -278195, -415019?\n\"Answer: -809*o**3 - 103*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + 1 + 1 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 608*j**4*m**2 - 205*j*m**3 + 32845*m**3 wrt j?\nAnswer: 2432*j**3*m**2 - 205*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 6*h**5\/5 + 5*h**2 + 24. Find the second derivative of y(m) wrt m.\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272802579?\nAnswer: 3, 7, 1571, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.94101 + 0.05899. What is the closest to 0.1 in -5, h, -61, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-16)*w**(3\/7))\/(w**6*w*w**9))**(2\/15) assuming w is positive.\nAnswer: w**(-442\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 3*o + 4*o)*(-2 - 13*o + 33*o - 12*o - 4*o + 0*o + o + (-4*o + 4*o - o)*(0 - 2 + 0) - 4 - o + 4) to g*o + z + t*o**2 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 924264.6 centuries?\nAnswer: 92426.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-49)\/(-28) + (-3)\/(-12). Let w be (-2 - -3) + -1 + f. Solve w*r + 1 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1121\/2 - 513. Suppose 0 = z + 108 - 107. Calculate the common denominator of z\/3*990\/(-70) and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2101000313 (base 4) to base 7\nAnswer: 5022464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-3)*(-12)\/24)\/(-13*(-7)\/546)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/51*2516\/(2294\/62).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 475 and 11?\nAnswer: 5225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 32, 8, -1, -3, -2 in decreasing order.\nAnswer: 116, 32, 8, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1072560 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-102)*(-3)\/2*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + g**3 + 0*g**3 + 0*g + 0*g + 2*g**3 + g**3 + 1 - 1 + (2*g**2 - 2 + 2)*(g + 2 - 2) + g**2 + 4*g**3 - g**2 - 2*g**3 - 3*g**3 + 3*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 2133?\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -179, -432, -781, -1226?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 6. Let d be b(-7). Let x(m) = 7*m - 2. What is x(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -682 - -709.93. Let z = n + -28. Let p = 110 - 114. Sort p, 3\/2, z in increasing order.\nAnswer: p, z, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1363804 by 340951.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -111 + 47 + 153 + -238 - (1 + -2 + -11).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12291\/482*8\/102?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1291.7 * 47.51.\nAnswer: -61368.667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, 2, -6.\nAnswer: -168, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1528190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-18)*(-24)\/440*5. Let f = w - -31\/165. Factor -2\/5*o + 0 - f*o**2.\nAnswer: -2*o*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.85543 + 16731224.14457. Let y = 16731337.00053 - m. Let s = y - 103. Round s to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.366124 and -613211.\nAnswer: -613214.366124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 - 2*o + 13*o**3 + 2*o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4247479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*n - n + 19 = 0, -3 = -2*a + 5*n. Suppose -y = -4*x + a, -3 = -2*x + 2*y - 1. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*b**2 + 212*b**2 + 225*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.6 + 20.4. Do i and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -973, -62, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -333, -2068, -5205, -9738, -15661, -22968, -31653?\n\"Answer: u**3 - 707*u**2 + 379*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(162)*-6*1.\nAnswer: 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1453b (base 15) to base 11\nAnswer: -4507a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 10:41 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128 + 128 + c)*(6 + 5 - 5)*(-3 - 2 + 3).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -14081053 > -126729478\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(144585\/30)*301\/172\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 35*k - 77 = 0. Let z = -57 - k. Calculate the highest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 5*t + 8. Let j be z(8). Let i be -5 + (1136995 + 0)*16\/j. Round i to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/450 - (3*-1)\/((-1800)\/48).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8*k = 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -227d - -1?\nAnswer: -227c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1662264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012556 rounded to 6 dps?\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = 10*h + 26. Solve 0 = 2*t - p, -p + 3*p - 12 = -h*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + -1)**2 - sqrt(13) - (-2*sqrt(13) + 3))*5.\nAnswer: -55*sqrt(13) + 2330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Suppose -j + 3 = -0*j - y*d, -2*j - 4*d - 4 = 0. Let l = -13 - -10. What is the closest to j in -0.1, -1\/5, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 233978 + -165902. What are the prime factors of n?\nAnswer: 2, 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 7. Let s be o(-3). What is the remainder when 7\/s*2*28 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -17.9, -0.169, 0.4?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 1863439.\nAnswer: -6\/1863439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -884*u + 4. Let t(n) = -4428*n + 23. Calculate -22*b(s) + 4*t(s).\nAnswer: 1736*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 108.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 363\/19 < 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 1, b: 1, v: 3, k: 4, n: 2}. What is prob of sequence mvv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(78) + -4*sqrt(78)*-4 + sqrt(78)))\/((3*sqrt(30)*-2)\/sqrt(5)).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (sqrt(112) + -1)**2) + (sqrt(28)\/sqrt(2))\/sqrt(2).\nAnswer: -113 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i = 37*i + 2411. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/77 - 7\/(49\/(-21078)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b - 33. Let l be j(8). Suppose -l*w + 3*w + 192 = 0. Let y = 58 - w. Solve 3*v - v + y = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 98\/21)\/(-3 + 4). Let 0 - h*p - 1\/3*p**2 = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -449113.1 rounded to the nearest one hundred?\nAnswer: -449100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 - 2*g**4 + 5*g**4)*(149 - 149 - 18*g + (13*g - 6*g + 11*g)*(-5 - 8 + 4)).\nAnswer: -360*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 225 = -159. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.144481mg in nanograms?\nAnswer: 7144481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 9 - ((12 - 6) + 16 - 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25146 + -103?\nAnswer: 25043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -68*b**2 + 38. Let r(f) = -27*f**2 + 15. Let w(m) = -12*r(m) + 5*t(m). Differentiate w(l) wrt l.\nAnswer: -32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 4*(-5)\/(-20) - -25. Let d(f) = 6*f**2 - 98*f + 56. Is d(y) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 8)*(3 - 2 + 0)*(-52*u**3 + 37*u**3 + 158*u**3).\nAnswer: 1859*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000069818 to 7 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 34, -6, 3.\nAnswer: -6, 3, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-6))\/((-1)\/(-4)). Let z = -27.6 + 27.7. Which is the nearest to 1\/5? (a) m (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5286396 tonnes to kilograms.\nAnswer: 528.6396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 592 - 588. Suppose 30 + 118 = 3*j - o*l, 8 = 4*l. Solve j*s = 53*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68402?\nAnswer: 2, 23, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -18, 4*d + 7*h - 14568 = 5*h. Which is greater: d or 3638?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 210\/24 - 4 - 1\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44220 or 44223?\nAnswer: 44223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 107 and -0.281.\nAnswer: -30.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 + -3. Let j = 5 - 5.1. What is the nearest to j in i, 3, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 613635.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -7*p**4\/12 - p**2\/2 + 3*p. What is the derivative of y(u) wrt u?\nAnswer: -14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -183? (a) -4\/3 (b) -1.3 (c) -0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144429\/56 - 2578. Calculate the common denominator of f and 19\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/30)\/((1\/1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39388309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9234745 divided by -1846949.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -35534 (base 15) to base 5\nAnswer: -20414144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 + 67 = 3*h + 5*h + 284 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -17*u**7\/35 + 17*u**4\/12 - u**3\/3 + 29*u**2. What is the second derivative of j(w) wrt w?\nAnswer: -1224*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -15*g + 90. Suppose -3*j - 18 = -2*d + 3*d, -j - g = -d. Let i(c) = -7*c - 38. Let f be i(j). What is the greatest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27\/7 - 23\/7. Let h(u) be the first derivative of 0*u**3 - 5 + 4\/35*u**5 + 2\/7*u**4 - o*u**2 - 4\/7*u. Suppose h(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/17 + 4064*c**3\/17 - 90070*c**2\/17 + 627876*c\/17 - 1330992\/17 = 0 for c.\nAnswer: -2054, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 295 and (120\/(-42))\/(2\/28*-1)?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 5)*(6 - o - 6) + o - o - 4*o to the form t*o + g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 929099 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.36 - 10.56. Let m = -9.1612 - s. Round m to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -5533.2\nAnswer: 11066.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373370469?\nAnswer: 3, 71, 1752913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 - -4 - (-4)\/(-14). Which is the nearest to 0? (a) -0.2 (b) t (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*k + 12 = -0*k, -5*s + 4*k + 16 = 0. Sort s, 4, 8 in ascending order.\nAnswer: s, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561125*h**3 - 749726650*h**2 + 85038205*h - 2411480 = 0. Calculate h.\nAnswer: 19\/335, 1336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + c - 3*i = -8 + 21, 2*c - 10 = 18*i + 2*i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 327*h - 9. Let b be g(11). Suppose 13636 + b = 8*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17435209 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14241 (base 5) to base 16\nAnswer: 4ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/45)\/(-1)*-34*(-5)\/(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*f - 106*f = 3*w - 305468, f - 8*w - 61128 = 0. What are the prime factors of f?\nAnswer: 2, 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-9\/5))\/w*(w**9*w)\/w*w)**(-1\/4) assuming w is positive.\nAnswer: w**(-41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138363 = 13*n - 8264. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**3\/6 - 3*y**2\/2 + 3*y. Let l be x(6). Suppose 0 = o - l - 2. Solve -2*c + o*k + 25 = 0, c + k - 12 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from jdjhxxx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 + u + 12. Let k be q(-6). Suppose k*p = 658 - 88. Suppose -p = -11*j + 213. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88704266897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g. Let w(q) be the third derivative of -q**6\/360 + q**4\/24 - 2*q**2. Let a(x) be the second derivative of w(x). What is d(a(o))?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqg when three letters picked without replacement from {q: 3, g: 8}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4496 + -6660. Let d = -5 + 4. Is (252\/(-72))\/(d*(-2)\/m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 21390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16228, 32457, 48696, 64951, 81228, 97533?\nAnswer: 113872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 7:56 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(88\/(-3))*((-95)\/15 + 6)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 1 - 2 + 7*p)*(-4 - p**3 + 4).\nAnswer: -3*p**4 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-22) - ((-810)\/(-165) - 5))*(-2)\/68?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - -28. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, x: 5, r: 1, h: 1, c: 6, s: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-4))\/(1\/4). Let i(n) = n + 1. Let g be i(t). Let f = 32145 + -32142. Solve g*p - f*p - 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*f - 125, 3*f + 103 = 4*n + 6*f. Solve -3*p + 12 = 0, -4*p + n = -2*m - m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*k + 8*k - 17*k to m*k + w and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**2 - 9*n**2 + 25*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.6, 2, 173\/4, -1.\nAnswer: -1, -0.6, 0, 2, 173\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34848429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.335954t in micrograms?\nAnswer: 9335954000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-14)\/(i**(-13)\/i*i))**(1\/21))**(28\/5) assuming i is positive.\nAnswer: i**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 114?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, 8739, 7 in descending order.\nAnswer: 8739, 8, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -284\/3 or -96?\nAnswer: -284\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 10*l**2 + 2*l - 12. Let u be n(10). Let t(w) = -w**3 + 8*w**2 - w + 16. Let b be t(u). What is the units digit of 69 - -1 - (-6 + b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19467 divided by -4.\nAnswer: -19467\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(-12)\/(-192)*8. Suppose 4*m = -0*m + 16. Find the third derivative of -27*s**m + 47*s - 47*s + 19*s**p wrt s.\nAnswer: -648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t + 81*t - 38512 = -100*t. What is the closest to t in -3, -4, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h = h - 14094. Let b = -485 + h. Solve -6*q + 23 = -b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*s**6 - 5*s**6 - 8*s**2 + 2*s**2 wrt s.\nAnswer: -1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000342915426 to 7 decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10882 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6358 and 1870.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108390283?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-8\/7)*g**(-34)*(g**(-1\/2)*g*g)\/(g**(-6\/19)\/g) assuming g is positive.\nAnswer: g**(-8599\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152 = -3*a - 3*u, 0*u + 4*u = -2*a + 774. List the prime factors of a.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 634957653?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 36737260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 1 - 8*h**2 + 8*h**2)*(2*h - 4*h + h).\nAnswer: 4*h**5 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -55906*(0 - -8)\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cqqcqqq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021 (base 3) to base 2.\nAnswer: -111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97654188381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 284 and 976812.\nAnswer: 69353652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 976.14 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = 5*b - 4*b, 5*b + 3*h = 10. Suppose b*y - 5*y = -15. Factor -s + 18*s**3 + 2*s + 4*s**4 + 2*s + 8*s**4 + 12*s**2 + 3*s**y.\nAnswer: 3*s*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12 = l, 2*l = -2*l + 3*d + 14. Let y = 292 + -291. Which is bigger: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 5 + (17 - -13)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 8. Calculate the smallest common multiple of a(0) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132967?\nAnswer: 132967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 3\/8 (c) 1916671 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5619, 11238, 16855, 22470?\nAnswer: 28083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 19. Sort -5, t, 13.\nAnswer: -5, t, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.171993 rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55291, -55299, -55307, -55315, -55323, -55331?\nAnswer: -55339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2107 = 288*p - 197 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1300 and 418444?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 247 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 475022 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + 106.5. Let w = -105 + x. Let l = -10.5 - -11. What is the closest to w in 2, l, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (9 - 15) + 16 - (26 - 44)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16, 4, 114, 362, 796, 1464, 2414?\n\"Answer: 8*h**3 - 3*h**2 - 27*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007856 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*f + 2 + 1 = 0, -2*z + 6 = 5*f. Calculate the remainder when 111 is divided by -3 + (1 - -34) - (0 + z).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3 - 1 + 3. Suppose 2*b - 29 + 9 = 0. Suppose 0 = k + 3*o - b, 0 = 5*k + 2*o - 11. Let c(t) = 3*t - 4. Determine k*c(w) - 6*j(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(54) + sqrt(216)\/sqrt(4))\/sqrt(6) + sqrt(108)\/(sqrt(12) - sqrt(12)*2))*-6)\/(sqrt(18)\/sqrt(6)*-4 - 6*(sqrt(12)\/sqrt(4) - sqrt(3))).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*u. Suppose y - 12 = j, 5*y - 3*j - 60 = -0*y. Suppose -3*p = 4*i - 21, 3*i = -p - 0*p + 12. Solve 0 = p*t + y, u*d + 8 = 4*d + 2*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16870872 to four dps.\nAnswer: 0.1687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:51 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kouoonoonnooonknkno. Give prob of sequence oon.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2681*r + 759. Let c(t) = -10729*t + 3029. Let u(z) = -6*c(z) + 23*g(z). Find the first derivative of u(b) wrt b.\nAnswer: 2711","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100420 - 34?\nAnswer: 100331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0)**(-30)\/(z**(-2\/7)\/z**(2\/9))*(z*z**(-1)*z)**(32\/3)*(z\/(z\/z**(2\/5)))**(-25\/4) assuming z is positive.\nAnswer: z**(-2687\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2379044 and 464.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 3) to base 15.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31757, 32981, 35025, 37889, 41573, 46077, 51401?\n\"Answer: 410*s**2 - 6*s + 31353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1225, -1224, -1223, -1222?\n\"Answer: f - 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327 + 153 = 464*t - 1376 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10) - 5723\/1180)*(-1000)\/75?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 4\/7, -190\/13, -7 in descending order.\nAnswer: 116, 4\/7, -7, -190\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1)\/k*k)\/k)\/(k*k\/((k**5\/k*k*k)\/k*k)))\/(k**0\/k**(-1)) assuming k is positive.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 + 1 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8215387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = -6*q + q + 5*j, 4909*q - 4904*q = -4*j - 128 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 6 - 8*h + 5*h to the form j + y*h and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-42) + (255\/42 - -17)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgjggjjgdggdpjapg. Give prob of picking 1 j, 1 g, 1 a, and 1 z.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + z - 43, 4*f - 5*z = -10*z - 154. Suppose 3*a - 2*u = 2*a + 857, a = -u + 842. Calculate the common denominator of f and 2\/6 - a\/(-105).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1224490 by 83.\nAnswer: 1224490\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291130422 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0*m + 10. Suppose i - 3*z - 16 = -z, 0 = -m*i - 5*z - 13. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**(-41))**49 assuming u is positive.\nAnswer: u**4018","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/3 and 10*1\/((-6)\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 2*k**7 - 310*k**6\/3 + 7486*k**5\/5 - 2028*k**4 - 432*k**3 + 13057*k. Solve w(l) = 0 for l.\nAnswer: -2\/21, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -0.4, 118, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 56, 4, 26, 3\/8, 20\/7.\nAnswer: 3\/8, 0.4, 20\/7, 4, 26, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -i. Solve l + 23 = 5*j, 3*j = 3*l - i*j + 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4008041896 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -587 divided by 6.\nAnswer: -587\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, q: 10}. What is prob of sequence qkk?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 479.7 + -480. Let k(g) = 2*g - 9. Let m be k(6). Which is the fourth smallest value? (a) m (b) 4 (c) -1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*f + 3342, 2009 = 3*n - 2*f - 0*f. Suppose n - 73 = 4*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 108 - 86) + (-6 - -4) + -76?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36732238 divided by -125366.\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59.7 - 76. Let x = s - 4.7. Let l = 21.0272 + x. What is l rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 4*s - 5. Let f be z(-3). Suppose 0 = 3*d + 2*n - 2536, -5*d + 4224 = -17*n + 21*n. What is the greatest common divisor of d and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.9999841. Round m to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14370 - -98189. Is j 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 112300?\nAnswer: 2, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3 - 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2057)*4 - (sqrt(2057) + 1 + -2))*-4)**2.\nAnswer: 2464*sqrt(17) + 1612704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19613536, 19613537, 19613538?\n\"Answer: v + 19613535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + q + 345 = -q, -2*q - 1374 = -4*y. Calculate the remainder when y is divided by (40\/(-32) + -6)*(-1 - 11).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w + 49. Let f = 5 - 14. Let d be p(f). Suppose -7*g + 193 = -d. Calculate the highest common divisor of g and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2. Suppose -392 = -108*n - 97*n + 18. Let x(k) be the second derivative of -33*k + 0*k**n + 0 - 5\/6*k**3. Determine p(x(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459808819?\nAnswer: 7, 17, 229, 53569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -13*r - 1\/6*r**3 - 7*r**2 + 0. Give w(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 - 1.6. What is the nearest to -2 in m, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r + 3. Let j be a(0). Determine d so that 5*d**2 - 5*d**4 - 287 - 4*d**5 + d + 287 + 3*d**j = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 1476*m\/5 - 42896\/5.\nAnswer: 2*(m - 28)*(m + 766)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -132012100 (base 4) to base 11\nAnswer: -84693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + 1 + (-15 - 9) + 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4229*a - 517 = -4276*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: -100011 (base 2) to base 14\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -7*t**6\/40 + t**3\/3 + 4*t**2 + 12. Let s(v) be the second derivative of x(v). Differentiate s(l) with respect to l.\nAnswer: -63*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1346)\/3365)\/(6\/15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17523 and 5487.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.039888 - 9\nAnswer: -9.039888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 198911.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -223 - -226. Suppose -4*x = z*n - 112, -4*x + 32*n + 84 = 28*n. Solve -g + 2*a - 5 = 0, g - 6*g - 2*a = x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28230263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - z - 10 = 0, 5*s = 6*z - 3*z - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(171) + sqrt(171) + 5 + 6*sqrt(171)*-4)**2*-3*1.\nAnswer: -248439 + 2772*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(((-27)\/30)\/3). Suppose -t = -6*i + i. Suppose 3*x = -2*w + 29, x + 0*x = i*w - 33. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/20)\/((-6)\/(-30)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40260 and 1376526?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/74 in -41, 6, -0.3, -4\/7, -17, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = h - 0*h. What is the third smallest value in -1\/3, h, 1, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*(-147)\/(8161734\/(-142))\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0 - 8. Suppose 0 = -4*u + 5*w + 37, -f*w = 3*u + w + 16. Let p = 37\/2 - 21. What is the closest to u in p, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4613 - -4612.999999451. Round d to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.25 - -0.75. Which is the third smallest value? (a) z (b) 1\/4 (c) 1\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14959299\/1574 - -9504. Let r = v - -38587\/12592. What is the common denominator of -113\/10 and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4804*w + 32. Let h(x) = -2882400*x - 19216. Determine -2*h(t) - 1201*j(t).\nAnswer: -4804*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 831049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -e2e (base 15) in base 8?\nAnswer: -6172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145696 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 15*s - 15. Let t be y(-6). Let q = -9 + t. Calculate the greatest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 7 - 3 + 10*z**3 - 5 + z**4 in the form j*z**3 + u + l*z**4 + t*z**2 + c*z and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*a*k**2*u + 10*a*k*s + 7199*a*u - 776*k**2*s - k**2 + 2*k*s*u + 6*k*u - 42*s + 2*u wrt a?\nAnswer: -34*k**2*u + 10*k*s + 7199*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 48371 divided by -309\nAnswer: -48371\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 48, 1, 0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 505 divided by -5.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - s. Let a(j) = -1805*j. Give a(b(c)).\nAnswer: -5415*c**2 + 1805*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -728 - -723.91. Let n = l + 4.7. Round n to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1, -36, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 0.0711.\nAnswer: -0.0711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - t - 54 = 0, -2*t + 23 = 5*l + 13*l - 73 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 9375555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 (base 7) in base 12?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/16)\/((-19896)\/14922).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -179.\nAnswer: -19\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(612) + 0.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 + 2*a**2 + 13*a - 4. Let s(v) = -5*v**3 - 4*v**2 - 25*v + 7. Calculate 4*s(g) + 7*t(g).\nAnswer: g**3 - 2*g**2 - 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -778*f - 26359. Calculate v(-34).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from hraehehhar.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0208 + 0.4208. Suppose 2*h = 6*h - 8. What is the closest to 5 in h, v, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 12 (b) 1 (c) -2\/5 (d) -5\/2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1119054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240817477?\nAnswer: 41, 223, 26339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + -3)*(-2)\/(-4). Let q(p) = 8*p + 5*p**3 + 7 - n*p**3 - 2*p**3 + 8*p**2. Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/9 - (2\/(-6) - -1). Let q(m) = -2*m + 4. Calculate q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1713*i + z = 1714*i + 6, -2*i = -3*z + 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -10. Suppose -20 = -5*v + 2*q - 4, 22 = k*v - 4*q. Suppose 5*m - 3*z + 2 = 0, -2*m - 2 = -v*z + 2. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (135\/(-27))\/(2\/2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -6. What is the highest common factor of 3 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - h - 1 = 0, 15*a + 3*h = 20*a - 27. Suppose 2*j - 3*o = a, 9 = 4*j - 5*o + 2. Solve 5*u - j*u - 10 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = -22*x + 5*u + 12, 5*x - 26 = 4*u. Solve -3*s + 5 = 5*k, -6*s + x*k - 18 = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + f + 58. Let t be j(0). Let g = t + -41. Is g > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 e when three letters picked without replacement from {o: 2, e: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1470, 4\/7, -2\/7, 7\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 873.7285 + -874. What is a rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1.697, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 3, -5, -156 in decreasing order.\nAnswer: 3, -5, -18, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-32) + (-30)\/(-8). Suppose h - 3*w = 18, 4*h + y*w + 8 = -0*w. Suppose 3*u - h*i = 5*u - 13, -i = 2*u - 15. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 11, v: 1, w: 6}. What is prob of sequence vdw?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 37*a**2 - 268*a + 53. Give q(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 3*c**5\/2 + c**4\/12 + 17*c**3\/3 - 12*c - 3. Find the second derivative of n(g) wrt g.\nAnswer: 180*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*u**4 + 9*u - 9*u)*(2 + 2 - 1) in the form m*u + y*u**3 + q*u**4 + z + o*u**2 and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 1411248.\nAnswer: 1, 3, 1411248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 - (-14 + 26 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 7*m = -5*n + 50, -2*n + 4*m + 28 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 858791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 15. Suppose -s*u - 3*c + 87 + 12 = 0, 2*c - 42 = -2*u. Let g be (38400\/u)\/((-2)\/(-22125)). Round g to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 544*k + 546*k = 11, k = a + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -439 - -0.09181.\nAnswer: -438.90819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a = 0. Suppose 110 = -a*o + 5*o. Suppose o = 2*w - 0*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, 47, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-121)\/(-22))\/(1\/2). Suppose 4*v - 5*v = -s. What is the smallest common multiple of 7 and v?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29736*v**3 + 356646*v**2?\nAnswer: -178416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-238)\/(-63) - 4) + (-16)\/9. Let f(a) = -14*a - 15. What is the remainder when 89 is divided by f(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23, 42, 77, 134, 219, 338, 497?\n\"Answer: x**3 + 2*x**2 + 6*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from jsjssjsojqojhsjos.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*t - 11309 - 2501 = -246 + 1583 for t.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6137 and 1083?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40.2 + -40. Suppose -g + 0*u - 4*u = -1, 0 = -g + 4*u - 7. Which is the nearest to 0? (a) g (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95 by 31.\nAnswer: -95\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -4. Suppose -i + p = -1. Let s be (-16 - 1)*(1 - i). Calculate the greatest common divisor of 119 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22644 (base 8) to base 9\nAnswer: 14186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/(-12))\/(7\/(-21)). Solve 0 = m*o + 10 + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + q - 1 + q**3 + 0 - 6 + 2*q**2 in the form c*q**2 + y*q**3 + l + p*q and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-1100)*-5)\/(1\/(-4)). What is the closest to -0.1 in -21, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-440)\/16*(68\/(-10) - 0). Suppose -5*p + 933 = 4*b, -4*b - a - 203 = -2*p. Are p and 191 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389 = -2614865*n + 2614884*n + 618 for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.43, -5, 0.2, 10 in increasing order.\nAnswer: -5, -0.43, 0.2, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 - ((-32)\/(-4) + 0). Solve w*q - 15 = -3*u - 0*u, 0 = -3*q - 5*u + 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4228216.\nAnswer: 2, 528527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -21 (b) 33 (c) -3 (d) -1\/4 (e) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-25) - 2\/10. Suppose -2*x + 22 - 262 = g. Let q = -35 - x. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -501 + 13525\/27. Put 3, l, 4, 0.3 in decreasing order.\nAnswer: 4, 3, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*m + 3 - 3 + 49*m in the form c*m + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwvvvwvgwwvgvwgvvwww. What is prob of picking 1 v and 1 g?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6 - 0. Suppose 0 = -2*t - u + 35. What is the common denominator of ((-26)\/t)\/((-36)\/(-80)) and -59\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppa when three letters picked without replacement from apapaa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -796526*j**6 - 1076*j**2 - 187?\nAnswer: -95583120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -167, -267, -347, -401, -423, -407, -347?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 0.2 (b) -0.1 (c) 0.3 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26642 by -2.\nAnswer: -13321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/((-12)\/(-1840)*23)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) - (-143)\/156. Factor 4\/3*p**3 + z*p**2 + 2\/3*p**4 + 0*p + 0.\nAnswer: 2*p**2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = b + 4*i + 1, 0 = 3*i. Suppose t - 2*x = b, t + 3*x - 17 = 6*x. Solve -8 = w - t*u, -u = -w + 3*w + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*j - 9 - 25, 3*j - 18 = -4*g. Suppose 4*v - v - 4*m = g, -2*v + 8 = -4*m. Let q(h) = -11*h + 1. Determine q(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 3:24 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**7\/70 + 5*b**3\/6 + 7*b**2 + 6*b. Let k(v) be the first derivative of j(v). Differentiate k(g) wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*a + 4*u, -a + 14 = -2*u - 2. Suppose g = -16 + a. Solve 2 - 10 = g*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71.6*0.5846\nAnswer: -41.85736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135436 is divided by 915?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(45\/48) - 4\/(-20). Let u = -11057\/9 - -1233. Find the common denominator of u and a + -1*43\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 9469 = -y - 9445, 138 = 6*a - 8*a + 5*y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-4 - (7 + -15 + 0))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2, 13\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-168)\/54 + 3)*-9. Which is the nearest to g? (a) 2\/7 (b) 0.4 (c) 14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 3*n**3 - n**2 - n + 13041 - 13047 to the form d*n**2 + x + s*n + j*n**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2806901 (base 10) to base 13.\nAnswer: -7737b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*v - 6, 4*b + 2*v - 5 = -15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2126)\/1728 - ((-158)\/(-54) - 3) and -9\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/791 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -796 times 3.4\nAnswer: -2706.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*3 - sqrt(1100)) + -5.\nAnswer: -5 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/28)\/((108\/(-32))\/9)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 60\/(-24))*(1 - -34)*(-84)\/90?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1853667*u**3*v**3 + 249*u**3*v + 1290*v wrt v?\nAnswer: -11122002*u**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50*(-1)\/(20\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 32*r**5\/15 - 68*r**4\/3 + 214*r**3\/3 - 136*r**2\/3 + 32*r\/3 + 1. Factor y(c).\nAnswer: 2*(c - 4)**2*(4*c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 13*v - 7*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 12:05 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1828 = 5*p + 1668. Calculate the remainder when 110 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 6 (c) -0.6 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2632430 + 2632430 + 7*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 354 or 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.2 + -35. Let i = -1.1 + o. Which is the third smallest value? (a) 6 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/40)\/(12\/(-30)). Which is the nearest to u? (a) -5 (b) 0.3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - q**2 - 3*q - 1. Let r be b(2). Let f = -14 - r. Find the third derivative of 3*v**5 + 2*v**5 + 7*v**f - 35*v**2 wrt v.\nAnswer: 720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45 + -171155?\nAnswer: -17119a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1640 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*l - 12. Let k be (-2 + l)\/(14\/(-4)). Let h = -2 - -1. Which is the closest to k? (a) h (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**3 + c**2 - 3*c + 2. Let p be y(1). Suppose 0 = p*v - 8*t + 3*t - 210, -v + 22 = 3*t. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzftzftzfzztiz. What is prob of sequence ifzz?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25969 - -26343. What is the remainder when j is divided by 132?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 3*t - 123. Calculate the remainder when t is divided by (22 - 9) + 1 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1871293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 2*s + 2. Let w be (70\/(-4))\/(-7)*2. Let r be w + (-3)\/((-15)\/10). Suppose -5 = -4*u + r. Give y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) -2 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233 - -221. Let q = p - 314. Suppose 3*z - q = -z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 27. Suppose 5*m + 2*h - 26 = k, -5*m = -h + 5 - 22. Solve 0*d + 14 = 4*d + n, 2*n - m = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41610.7 + -38655. What is i rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/531997?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*b = -51 + 10, -61 = 5*s - 3*b. Let j(v) = -9 - 6 - 17*v**2 + 11*v + 4. Let m(c) = -6*c**2 + 4*c - 4. Calculate s*m(g) + 4*j(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -22. Suppose 20 = x*i, 3*p = -0*p + 5*i - 31. Let h = 3 - 1. Sort h, p, -6 in decreasing order.\nAnswer: h, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-2) + 1 + -10 + 4. Let f(l) be the first derivative of -1\/3*l**3 - z*l**2 + 2 - 2*l. Factor f(w).\nAnswer: -(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43738 at most as big as -131215\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/50 + (-22)\/(-5). Let r(t) = -6*t**2 - 5*t**2 - n*t**3 + 0*t**3 + 3*t**3 + 3. Let a be r(-11). Solve -h + a*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38409 by -1.\nAnswer: -38409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(-6)\/9*(-569)\/4. Let a = l + 896. Is (a\/(-15))\/((-3)\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7766, -1\/11, -2\/447.\nAnswer: -1\/11, -2\/447, 0.7766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*a - 4*w - 40, -2*w = -2*a + 18. Let b be (-9)\/a + 535\/30. Let 0 + b*x**3 + 4\/3*x + 28\/3*x**2 = 0. Calculate x.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*b**3 - 149*b**3 - 49*b**3 + 4*b + 52*b**3.\nAnswer: -292*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18435737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-141329)\/(-124))\/97)\/(5\/40)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4369*y = -2753*y + 470052 for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-644978 + 644978 - 32268*x)*(-x - 3 + 3) to u*x**2 + g*x + t and give u.\nAnswer: 32268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 16\/275395?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31858020?\nAnswer: 2, 3, 5, 176989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**5 - a**4*c + 39*a**3*c + 2*a**2*c - 55*a*c wrt a?\nAnswer: 60*a**2 - 24*a*c + 234*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004185 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4949 + 8420. What is the greatest common factor of n and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - 20. Let v = 42 + q. Put v, 4, 2 in decreasing order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*r - 2*r = 883, 2*r + 8 = 0. Suppose 47 = l + a. Let t = l + 278. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10077878.\nAnswer: 2, 5038939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23 * 6748.59.\nAnswer: 1552.1757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -4*l - 7*l + 37184. List the prime factors of l.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8003 - -8007. Let o = -5 + 5.4. What is the third smallest value in v, o, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83358.7ml in litres?\nAnswer: 83.3587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 37 = 2*z, 7*p + 25 = 129777*z - 129778*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {x: 3, j: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/2)*d*d**(2\/7))**(2\/15)*((d*d\/((d\/(d**(2\/7)*d))\/d))\/(d\/d**(-2\/11)))**(-8\/5) assuming d is positive.\nAnswer: d**(-815\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8687 and 20111?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -158, -225, -274, -299?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -3107, -3\/5, 0.5 in decreasing order.\nAnswer: 0.5, -3\/5, -45, -3107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7559*u**3 + 9506*u - 94864 + 4816*u - 324*u**2 + 7561*u**3 = 0. Calculate u.\nAnswer: 8, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 3*z**2 + 2*z - 4. Let w be p(3). Let l be 18\/12*(-1 + 33\/9). Find the third derivative of -a**w + 27*a**l + 32*a**2 - 52*a**4 wrt a.\nAnswer: -600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/145 - -856\/1015. Sort f, 42, 5 in descending order.\nAnswer: 42, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -3\/7, 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.062368 to 4 dps.\nAnswer: 0.0624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1998.253 - 0.747. Let u = 953 + m. Let g = u - -1045.999999481. What is g rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.26 + 5.26. Let i = -0.6 + 0.1. Which is the nearest to z? (a) i (b) 0.14 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6123*n - 5842*n + 4035*n)*(6 - 3 - 2)*(1 - 2 - 2 + (0 + 3 - 1)*(1 - 1 + 2)) as a + i*n and give i.\nAnswer: -7930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (-41 + 32)) + (-2 - -40) + 58.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*126\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 492 and 55596?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - (24 + -6)) + (2 - 3 - -5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*2*(12 - (-1936)\/(-160)). Let k = 2 + 0. Which is the nearest to -4? (a) k (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**5\/40 + 7*b**4\/24 - 2*b**3\/3 - 4*b**2 - b - 7. Factor p(g).\nAnswer: -(g - 4)**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -550 or -548?\nAnswer: -548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuu. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 267102353*v - 232763131 wrt v?\nAnswer: 267102353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11235 is divided by 11185.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -44\/3*h**3 + 0*h**5 + 0*h**4 - 9 + 0*h**2 + 0*h - 1\/2*h**6. Find the third derivative of c(j) wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -92 (c) 2\/7 (d) -1215\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*g + 512*g - 261*g = 986 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 = -2, -21 = -z + 4*v. Suppose -p = z - 2. Calculate the highest common divisor of 10 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40*(((-3)\/(-12))\/(91\/156))\/((-12)\/63)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 1)*(70*t + 43*t - 25*t)*(-2*t**2 + 2*t**2 + t**2) to the form g*t**2 + x*t + c*t**3 + a and give c.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-292)\/16 - (-2)\/8. Let j = 13 + u. Suppose z = 1 - 5. Put j, 1, z in increasing order.\nAnswer: j, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1606552, 3213099, 4819646, 6426193?\nAnswer: 8032740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 11)*(4*g + 2*g**3 - 4*g)*(-26 - 8 + 10)*(-3 - 1 + 3) + 0*g**3 + 3*g**3 - g**3.\nAnswer: -430*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 59 - (33 + -22 - -4).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-4) - 2)\/(6\/28). Suppose -5*v + 4*i = 20, -13 - j = -3*v - 4*i. Suppose -6*w - 3*t + 9 = -8*w, v = -2*w + 5*t - 19. Solve -w*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2351\/13 + 181. Let z = 0 + 1. What is the nearest to z in 5, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*u + 15*u + 6*u - u - 1 + 1 + (0 + 3 - 1)*(0*u - u + 3*u) + u + 0*u + 0*u - 3*u - u + u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b - 4*b + 9 + 301*b**2 - 287*b**2. Let g(u) = 3*u**2 + u - 1. Let m be g(1). What are the prime factors of q(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + -3 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79826 and 96693?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/8)*t**(-1\/8))\/(t\/t**(-14)*t*(t\/(t*t\/((t\/(t*t**(-7)*t))\/t)*t*t*t))\/t) assuming t is positive.\nAnswer: t**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260306 is divided by 377?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j + 3*p - 34 = 0, -j = -3*p - 10. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2315573 not equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -f - 14, 5*f - 8*h + 4*h - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 8, 6\/11, -137, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, y: 4, f: 3, z: 2, j: 1}. Give prob of sequence ffy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 286.9 + -286. Let h = -2.1 - d. Is -0.42 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by 2\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -97*f - 478. Let l be c(-5). Solve g - 2*r = l, 3*g + 0*r - 17 = 5*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 16*y**2 - 61*y + 68. What is b(19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n**2. Let g = -601 - -3607\/6. Let w(y) be the second derivative of 0*y**2 + 0 + 0*y**3 - 3*y + g*y**4. Determine t(w(f)).\nAnswer: -52*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49060.9, 0.5, -1 in descending order.\nAnswer: 0.5, -1, -49060.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3\/5 + 581*q**2 + 1359473*q\/5 + 148121367\/5 = 0.\nAnswer: -211, 3327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 i when three letters picked without replacement from {i: 4, l: 3, g: 13}.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 154330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/2*294\/(-8). Let z be 1 - 2 - r\/(-148). Let h = -6211\/740 + z. What is the common denominator of 45\/7 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1395*f + 34904. Let o be y(-25). Let p be 58\/(3\/(3\/2)). Is o >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197767 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + l - 4, 3*g - 2*l - 31 = -19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -6157448?\nAnswer: -6157459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:10 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24.4 + 49776.31\nAnswer: 49800.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from {g: 3, b: 1, q: 2, o: 2, x: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -2106*y**4 - 7916*y**3\/3 - 9121. What is the third derivative of d(r) wrt r?\nAnswer: -50544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9563 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -14*j. Let c(s) be the first derivative of -s**6\/120 + 118*s**3\/3 - 71. Let h(w) be the third derivative of c(w). Determine v(h(r)).\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s + 5*v + 1033, -5*s = -4*v + 2566. Let k = s + 222. Let n = k - -503. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(98) + (sqrt(98) - sqrt(98)*-1))**2 - (sqrt(450) + 1*sqrt(162)).\nAnswer: -24*sqrt(2) + 4410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*y - 32*y - 30*y**2 - 15 + 141*y as i + q*y + t*y**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 30*g - 12*g - 47 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 4, 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3) + 3 + (sqrt(27)\/(1*sqrt(9)))**2 + (6*(sqrt(3) - -3*sqrt(3)*1))**2.\nAnswer: -sqrt(3) + 1734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a**3 - 4*a + 4. Suppose 61*x = 52*x. Let m(u) = -2*u + 2*u + 7*u**3 - 5 + x*u + 5*u. Give -5*d(n) - 4*m(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5930*x - 2040*x - 1787*x.\nAnswer: -9757*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 8*c + 10*c - 12*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -356*r + 11 - 17 + 354*r to the form k + z*r and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 6)*(-22*t**4 + 80*t**4 - 38*t**4) - 35288*t**2 + 1158*t**4 + 35288*t**2.\nAnswer: 1198*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -452*f + 82737. What is w(183)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 704 + -702. Suppose -80\/7*l**3 + 32\/7*l**4 - 72\/7 + 12*l - 4\/7*l**5 + 40\/7*l**t = 0. Calculate l.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220222 - 21122?\nAnswer: 122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-52) + (-42735)\/(-10582). Solve 3*i - 93*b + 24 = -96*b, 0 = 3*i + c*b + 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-2) + (-6)\/12. Let q = 3 - -2. Let s be 14\/(-35) - 2\/(-5). Sort -4, h, s, q in decreasing order.\nAnswer: q, s, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-30))\/1*55\/88?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 149915, 300347, 450779?\n\"Answer: 150432*d - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g*g*g**(-12\/13))\/g))*g)\/((g**(1\/2)*g*g)\/g)*(g*g*g**(-6)\/g*g*g)\/g*(g*g**18)\/g assuming g is positive.\nAnswer: g**(353\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, t: 4, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -215*d**2 - 39145*d + 116550.\nAnswer: -5*(d + 185)*(43*d - 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 28. Let y(z) = -5*z - 55. Let x(b) = b + 10. Let h(i) = 22*x(i) + 4*y(i). Determine r(h(q)).\nAnswer: -8*q**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 5*y**2 + 2*y - 6. Let m be l(5). Let h(s) = 3*s + 4 - 1 - 2. Calculate the remainder when 38 is divided by h(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3392 is divided by 374?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 2 = 28. Suppose -r + 11 = -5*b + 2, 0 = -5*r + b + 21. What is the third derivative of 3*u**r + u**2 + 2*u**a - 9*u**2 wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 45*b + 18. Let v be m(10). Suppose -81*j + 72*j = v. Is j < -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 3, 0 in descending order.\nAnswer: 3, 0, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:08 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*r, -301*r = 2*b - 309*r - 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 7, 9 = -3173*d + 3177*d - 3*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.4, 1\/6, 4, 2\/15, 123, 579?\nAnswer: 579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-2)*8\/10. Let j = 8.98 - -1.12. Let i = 10.2 - j. Which is the nearest to -2\/7? (a) 1 (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5601, 11201, 16801, 22401?\nAnswer: 28001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45552 and 1456.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -16*r**2 - 899*r - 58. Let k be y(-56). Suppose -3*z - 24 + 189 = 0. Calculate the greatest common factor of z and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 10. Let g be x(4). Suppose g*u = 19 - 55. Is 2 a factor of ((-3)\/(-2))\/(u\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/72*6)\/(1\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 12420*m**4 + 5290*m**2 + 69. Let v(h) = 1242*h**4 + 529*h**2 + 7. Let z(i) = -7*b(i) + 69*v(i). What is the third derivative of z(s) wrt s?\nAnswer: -29808*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u**2 - u - 2*u**2 + u. Let j(b) = 12*b. Let m(f) = -56*f. Let p(z) = -24*j(z) - 5*m(z). Determine w(p(r)).\nAnswer: 256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y - 3*i + 3, 4*i = 2*y + 4. Suppose 10*d - 25 - 5 = y. Solve 4*z = -4*w, 2*z - d*z - 6 = -2*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1202 = 4*u + 2*i - 418, 4*i = 4*u - 1644. List the prime factors of u.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1323*z + 5638. Calculate y(5).\nAnswer: -977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*v + 827 + 200, w = 5*v + 365. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o - 4. Solve 3*m + w = -12, 0 = -0*m + 4*m - o*w + 32 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w**2 - 20*w - w**2)*(8 + 0 + 6) + (2 - 4 + 1)*(-3*w**2 + 2*w**2 + 0*w**2).\nAnswer: -27*w**2 - 280*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/1253 + 3004\/103999. Let i = -18412963\/249 + 73948. Let o = i - g. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36662, -36661, -36660, -36659?\nAnswer: -36658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00237341 to 5 decimal places.\nAnswer: 0.00237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227505412.\nAnswer: 2, 7, 19, 121439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17455753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**4 - 9 + 6*z + 11 - 5*z**4 - 99*z**3 + 107*z**3 to f*z**2 + x + s*z**3 + a*z + d*z**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-1) - (4 - 3). Suppose -i*h - 2*g = -7, 6*h - 2*h - 2*g = 20. Let n = 0.051 - 0.051. Which is the biggest value? (a) h (b) -2\/13 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 5, i: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 + 37*p - 6*p**4 - 169*p**2 + 7*p + 344*p**2 - 163*p**2 to v + x*p**3 + g*p + f*p**2 + k*p**4 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -0.09, -1001776\/3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -73*v**2 + 88*v**2 + 83*v**2. Let l(t) = t. Determine c(l(m)).\nAnswer: 98*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-15) + (-14)\/(-6). Suppose 0 = 12*w - 13*w + 5. Suppose -k - w*k + 36 = 0. What is the greatest common divisor of p and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*y + 2*y**2 + 19*y - y**4 - 3 + 18*y as p*y**3 + i*y**2 + b + s*y**4 + c*y and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 61*v = 135. Let k = 39 - 16. Put k, -2, 1, v in decreasing order.\nAnswer: k, 1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrxogoouuxxuuxiuux. Give prob of sequence uoo.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 - 0)*1\/1. Let m be (-2)\/(-11) - (-53)\/y. Suppose -m*d - z + 135 = 0, 0*z + 5*z = 4*d - 137. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 - 0 - (6 + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1403*d + 7021. Give f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 3605 in ascending order.\nAnswer: -1, 0, 3605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -40*i + 120. Let f be y(3). Solve -4*w = -3*x - 31, f*x - 9 = x - w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232664 divided by 144.\nAnswer: -29083\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/129 - -1873\/36894. Let n = 2072\/429 - w. Calculate the common denominator of 53\/4 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5507402 + 23?\nAnswer: 22.4492598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u. Let c(p) = 35*p - 204. What is i(c(v))?\nAnswer: 245*v - 1428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/120 and -181\/1680.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + h = 6*h - 15, 8 = 2*x - h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10003120 + 2213?\nAnswer: 10005333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from csscs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 45 = 25. Suppose i = -5*j + 4*j - 2, 0 = 3*i + 12. Calculate the lowest common multiple of v and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*(12 + 35 + -43) - 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 3*r**2 - 5*r. List the prime factors of p(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1567566, 1567564, 1567562?\nAnswer: 1567560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -0*h - h - 2*y, -5*h + 2*y + 825 = 0. Suppose -a = -6*a + h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let p(r) = 2*r - 2. Suppose -6*u + 21 = 9. Suppose 5*d - 20 = 5*k, -u*k = -3*d - d + 16. Let a be 16\/d - 1*3. Give a*p(q) + 3*g(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7 and 27.05?\nAnswer: 73.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - s**5 + 4 + (-15 + 15 + 7*s**2)*(0*s**3 + 2*s**3 - 4*s**3 + (0 + 0 - s)*(0*s**2 + 0*s**2 + 4*s**2) + s**3 + 4 - 4).\nAnswer: -36*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/30 + 1\/(-5). Suppose 13*l = 17*l. Suppose -2*o - 6 = l, 4*o + 27 - 7 = -2*r. Sort z, r, 1.\nAnswer: r, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3320*n + 368515. Determine z(111).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 36 = 4*o, 3*q - 16 = -q. Suppose o*h = 4*h + 56. Solve 5*i + h = 5*z + 3, -2*i - 3 = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 2:03 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*m - 53, 3*z + 2*z + 37 = 3*m. Suppose -m*q + 14*q = 4*r - 932, 3*q - 672 = -3*r. Does 76 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -310*s**2 - s - 5. Let k(t) = 2*t. Calculate q(k(u)).\nAnswer: -1240*u**2 - 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -18306*z + 91650. Give h(5).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 295463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 11 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 3461*j**3\/6 - 2611*j**2\/2 - 3691*j. What is the first derivative of g(u) wrt u?\nAnswer: 3461","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + 3*((3*(sqrt(225) - (sqrt(225)*-1 + sqrt(225))))\/sqrt(5))\/(-4*sqrt(36)\/sqrt(4)*1)))**2.\nAnswer: 324*sqrt(5) + 4221\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 2:19 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 500 + -492. Let g be 4\/18 + (-8330)\/(-18). Suppose 5*y + 143 - g = 0. What is the greatest common factor of y and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*k - 730 + 730 - 291*k)*(1 + 0 - 3).\nAnswer: 658*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 15*u**2 - 14*u + 14. Let s be t(14). Suppose 3*c - 50 = c. Suppose -5*w = -a - s, 0 = 2*a + 4*w - c - 17. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**5 - 3010*b**4 - 91485*b**3 - 162000*b**2 + 256500*b = 0. Calculate b.\nAnswer: -570, -30, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (4 + -5 - 0) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**3\/6 + 9*i**2\/2 + 2*i. Let o be z(-4). Suppose 5*b + s = o, 7 = -4*b - 2*s - s. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -23. What is the smallest value in l, -1\/2, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(1900)) - (sqrt(1900) - (sqrt(1900)*1*-3 + sqrt(1900)))**2.\nAnswer: -17088 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**3\/2 + 9*a. Let v(w) = -39*w + 3. Let d(c) = 39*c - 2. Let l(x) = -3*d(x) - 2*v(x). Give 27*i(g) - 2*l(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13631958 is divided by 818.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -267080 divided by -5\nAnswer: 53416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -1b176?\nAnswer: 1b170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**8)\/g)\/g)\/(g*g**(1\/10))*(g**(2\/3)*g)**(-2\/127) assuming g is positive.\nAnswer: g**(-38581\/3810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(117)*3 + sqrt(26)\/sqrt(2) + -1 + (sqrt(637) - (sqrt(637) - (-2*sqrt(637) - sqrt(637))))**2.\nAnswer: 10*sqrt(13) + 5735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/12*(-1050)\/(-7). Suppose -z = -5, -3*o = -o - z - 45. Is o greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8670780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5323, -5331, -5339, -5347?\n\"Answer: -8*r - 5315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*6\/4*1\/3. Differentiate -3 + 14*f**2 - 34*f**l + 20 + 2 wrt f.\nAnswer: -40*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -0.3. Let f = 0.1 - h. Which is the nearest to -1? (a) f (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 7*f**2 - 6*f - 5. Determine q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44912107?\nAnswer: 44912107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*h*i + 6*a**2*i**3 + 3*a*h**2*i + 2*a*h*i**3 + h**2*i**2 + 157*h**2*i wrt i.\nAnswer: 36*a**2*i + 12*a*h*i + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 303840378 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1)*f\/((f**(-2)\/f)\/f))\/(f\/(f*((f\/f**(1\/3))\/f)\/f*f*f)*f*f**(-7\/4)))**8)**(-2\/53) assuming f is positive.\nAnswer: f**(-260\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 5*s**2 - 4*s - 2. Let t(b) = 6*b**3 + 24*b**2 - 20*b - 10. Let z(p) = 11*g(p) - 2*t(p). Let u be z(6). Let k = u - 7. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694869.\nAnswer: 3, 7, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-1)*(-7 + 6). Solve l*m + 25 = 2*c + c, 4*m + 20 = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 0*z + 20374 = -5*w + 20324, 53 = -5*z - 4*w for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (1 + -84 + 0). Suppose -3*d - 87 = 3*n, n + z = -3*d - n. Let f = -6 - d. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 3*r)*((-90 + 90 - 27*r)*(-1 - 6 + 1) - 4*r + 3*r + 0*r) in the form a + y*r + b*r**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74\/3 or 183?\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1124a2 (base 11) to base 14.\nAnswer: 49302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78*p*r**2*u**3 - p*u**3 - 3*r**2*u**2 + 532*u**3 wrt p.\nAnswer: 78*r**2*u**3 - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -119 - (3 - (72 - 83 - (-2 + -2)))?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -39*o - 8. Let n be g(-1). Let w = -35 + n. Let p(d) = d - 5. Let h(a) = 2. Determine w*p(q) - 10*h(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdldllllllllll. Give prob of sequence lddl.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11169 + 19008. Calculate the greatest common divisor of d and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 44*p**2 + 20*p - 5*p + 124*p**2.\nAnswer: 168*p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83194894 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z**2 + 59*z - 30. What are the prime factors of l(-15)?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 9:52 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(33)\/(sqrt(15)\/sqrt(5))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + 16 + -29\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -35*s**2 - 13. Let k(i) = 10*i**2. Determine g(k(x)).\nAnswer: -3500*x**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0514 and -680939153.\nAnswer: -680939153.0514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(((-120)\/16)\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1737*k - 4. Let g(r) = -1741*r + 3. What is 4*g(t) + 3*l(t)?\nAnswer: -1753*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20104307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 0*z - 9 + 1\/2*z**2. Let j(m) = -24*m**2. What is j(p(n))?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17097 - -119677\/7. What is the third smallest value in q, 0, -5, 5, -4.8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114 + 1.4060573\nAnswer: 115.4060573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**3*w**5 - 1842*i**3*w**2 - i**2*w**2 - 1653*w**6 wrt w?\nAnswer: -300*i**3*w**2 - 198360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2\/3, 139\/2, -3.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 18. Solve 2*s + f*s = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1226 and -36?\nAnswer: 36.1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4002.7 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + 203*z**3 + 226*z**3 - 104*z**3.\nAnswer: 327*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/21234199 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*f = -770, 0*h - 5*f + 764 = 3*h. Let j = 4775 + -4939. Let p = h + j. Calculate the greatest common factor of 47 and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14*o**2 - o + 1. Let a be i(-1). Let h be a\/(-78) - 0 - 126\/(-26). Solve 0 = w - h*w - 2*y - 14, -5*w = 2*y + 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1969334 - 3?\nAnswer: 1969331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117307 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10833 and 218073.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**5\/20 + s**3 - 28*s**2. Let g(t) be the third derivative of t**5\/60 - t**3\/6 - 3*t**2. Calculate -6*g(i) - r(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-78)\/(-65))\/(1\/15). Solve -3*t + d = -2*y, 2*t + y = 6*y + 23 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 19*v**2 - 19*v - 87. Let l be w(20). Put -1, -5, 5, l in decreasing order.\nAnswer: 5, -1, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 8*m**2 - 2*m - 19. Suppose -27 = -23*f + 20*f. Let u be x(f). What is the greatest common divisor of 110 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1076296, -1076978, -1077660?\nAnswer: -1078342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 36 (b) -5 (c) 2 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -74*(30\/(-4) - -5). Let h = z + -97. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47408 divided by 5926.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (12 + -33 + 8)) + 32?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/u**(4\/5))*u*u**(2\/35) assuming u is positive.\nAnswer: u**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10\/199 - 2099\/1791. Calculate the common denominator of t and -43\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2726796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13600532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15345 and 13784265?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 47\/((-705)\/(-450)) + -10 - 10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4 = -4*d + 7*d, -3*d - p = -8. Let w be (d - (-624)\/(-20)) + 8\/(-10). Which is smaller: w or -22?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 932.0299965 + -932. Let u = 0.03 - v. Round u to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 + 2*d + 9. Let v be q(-4). Suppose 0 = -n - 272 + v. What is n rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -4, 0.136, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -327, -16, -85 in ascending order.\nAnswer: -327, -85, -16, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/175)\/((-256)\/448)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3840) + sqrt(3840)*1 - sqrt(3840))\/(sqrt(12) + -2*sqrt(588)).\nAnswer: -8*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**2\/3 + 351*m - 17388 = 0. What is m?\nAnswer: -252, 207\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 - 4 = 0. Let n(h) = i*h - h - 7 + 20. Let d be n(-9). Let m(l) = l**3 + 6*l**2 + 4*l + 1. Determine m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, u: 3, p: 4}. What is prob of picking 1 x, 2 u, and 1 p?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((8\/2)\/(-8))\/((-5)\/1740). Let o = -179 + z. Which is the closest to 1\/4? (a) o (b) -1 (c) -1\/8 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33400 divided by -835.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 4*z**3 + 2*z - 5*z**2 + 6*z**3 to w*z**3 + y + u*z + g*z**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -129\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34023 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 11*a + 1. Calculate s(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3 - 58246376*j**2 - 116492758*j - 58246380 = 0?\nAnswer: -1, 29123190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 9, -4, -0.5, 6\/5, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 48 = 2*y - 108, 210 = 3*a - 3*y. Suppose 6872 = -41*b + 2731. Let k = b + a. Is -27 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:25 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022220012 - 2?\nAnswer: 1022220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40542095.\nAnswer: 5, 11, 737129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 637 = -63. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 486, 752?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, b: 3}. Give prob of picking 1 r and 2 b.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 65*f**2 + f + 1. What is the units digit of r(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 18989*d + 13779*d + 10169*d - 2)*(d**3 + 0*d**3 - 3*d**3) - 2*d**4 + 0*d**4 + 3*d**4.\nAnswer: -9917*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5390*p**2 - 65505*p + 65505*p in the form i + y*p**2 + h*p and give y.\nAnswer: -5390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23529 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(42\/408)*-2. Let g be 17\/((-960)\/d - 7). Is g smaller than 289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15508, 10327, 5144, -41, -5228, -10417?\nAnswer: -15608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**5\/60 + y**4\/3 + 7*y**3\/2 - 21*y**2. Determine x(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 + (-5)\/60*4. Solve w - 18 = -2*h + 3*w, h + 5*w + 21 = k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215 divided by 3\nAnswer: -215\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - n - 80 = 0, 0*q + n = 5*q - 206. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 11. Let y = 0.2 - 0. Let s = -0.3 + y. Which is the nearest to -1? (a) s (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*x = -18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -401, -1710, -4449, -9134?\nAnswer: -16281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*c + 48*c - 29*c + 5*y - 5, 4*y = 8*c + 32 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 3\/2 (c) 77\/578\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 2, z: 1, e: 2, t: 1}. Give prob of sequence es.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/40 - o**5\/15 + o**4\/8 - 2*o**3\/3 - 3*o**2. What is the remainder when g(3) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 476 = 3*s - s, 0 = -2*s + 5*k + 471. What is the highest common divisor of 31 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 197 * 6.\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -201949\/18 + 11216. Find the common denominator of j and -3 + 334\/(-96)*-2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*i = -1723 + 365 - 4076 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148762.\nAnswer: 2, 74381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * -0.150744.\nAnswer: -2.713392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h**3 + 2*h**2 + 15*h + 6. Let i(d) = 13*d**3 - 3*d**2 - 17*d - 5. Let t(k) = -3*i(k) - 4*r(k). Factor t(w).\nAnswer: (w - 3)*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**7\/70 + s**6\/20 - s**4\/4 - s**3\/2 + 14*s**2. Solve l(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011001 - -10110010?\nAnswer: 10000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 9 - 4) + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*m + 3 = -0*m, 5*m = 4*n - 27. Let d = 5 - n. Let c(o) = -o**3 + 4*o**2 - 3*o. Let k be c(d). Are 3 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/((-6)\/(-27))*4. Calculate the remainder when 27 is divided by 40\/k*(-6)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2438446, -0.3, -0.2, -3\/2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -138. Let h = y - -125. Solve -13*r + 6 = -h*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-488)\/732*(-7)\/3?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9db34 - -2?\nAnswer: -9db32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 11. Give m(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 1b5560?\nAnswer: 1b5558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 3. Let g be y(-1). Let l be (((-9)\/33)\/(-3))\/g. Which is the second biggest value? (a) -1\/2 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*g + 418*g + 1183*g - 287496 = -338*g for g.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 j when three letters picked without replacement from {s: 2, j: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + 34. Let d = -4 + 7. Suppose 0*l = -d*l + y. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 424 and 440.\nAnswer: 23320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/20 + 39\/130. Suppose 6*b - 5607 - 1647 = f. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*((-63)\/(-105)*(-5)\/6)\/((-15)\/(-3)).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + y**2 + 3. Let a be f(4). Does 4 divide ((-132)\/(-10))\/(a\/(-150))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + -41. Suppose 11*q - q - 200 = 0. Solve -q = 5*m + 4*p, 0*m - 5*m + 15 = -z*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f - 40. Let c be x(-10). Suppose -c + 40 = 6*n. Calculate the remainder when 14 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -602 - -598. Which is the third smallest value? (a) -1\/17 (b) -2\/3 (c) -0.04 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 84218280?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010011100000011 (base 2) to base 11.\nAnswer: 96a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5 + 19*t**4 + t**3 - 19*t**2 = 0. Calculate t.\nAnswer: -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -14*h - 2. Let c be o(5). Suppose 35 = -5*l - 4*q, -l + 1 = 2*l - 2*q. What is the tens digit of c\/3*l\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22aa + -17?\nAnswer: 2293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 17 = -4*x + 5, -2*x + 2*j = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -1\/12*h**3 + 0 + 1\/32*h**4 + 1\/120*h**5 - 1\/160*h**6 + 0*h + 4*h**2. Factor c(a).\nAnswer: -(a - 1)*(a + 1)*(3*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + 10*b**2 - 16*b - 7. Let v(p) = -p**2 + 13*p - 29. Let s be v(9). Let i be n(s). What are the prime factors of 2\/3 + i\/(-33)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.392 + -20.492. Which is the closest to -11.2? (a) t (b) 1\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 1)*(-1 + l + 1 + (0*l + l + 2*l)*(-5 + 2 + 5) + 4*l - 3*l + l) to g*l + a and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -154711 (base 12) to base 9\nAnswer: -608384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -22. Let r be n\/2*(-2)\/(-15). Let w = 181 - 723\/4. What is the third smallest value in w, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6626477.\nAnswer: 11, 13, 149, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 212\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 < -17\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73976*q - 73742*q + 147019*q.\nAnswer: -699*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20022900 divided by 66743\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 4, 0, 14, -3051?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4339 + 4340. Solve -4*b - 5*h + p = -6*b, 0 = -3*b + 5*h - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086627355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13103323202 (base 4) to base 10\nAnswer: 1916642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - c - 3, 5*g - 4*c - 3 = 0. Suppose -3*h + 27 = g*l + 3, 25 = 5*l + 2*h. Solve 3 = -l*u - 3, -2*f + 2*u = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 5.48397.\nAnswer: -1.645191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.899256 rounded to 1 dp?\nAnswer: -152.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 6*c**2 + 0*c**2)*(0*c - 3*c - c)*(-4*c + 2*c + 3*c + (-3 - 3 + 4)*(-2*c + 3*c + 0*c) + 85 - 85 + 44*c).\nAnswer: -516*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 401010 (base 5) in base 9?\nAnswer: 18283","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53743, 53746, 53749?\n\"Answer: 3*f + 53740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -24, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 + 2*j**2 - 4*j**2)*(-8549*j + 44 - 23 + 8536*j + 7) in the form y*j**2 + z*j + s*j**3 + o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87603 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 191, 434, 737, 1106, 1547, 2066, 2669, 3362?\n\"Answer: q**3 + 24*q**2 + 164*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-22)\/(-6))\/(3\/45) - 0 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119535 and 10920.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155 - 155.00057. What is o rounded to 5 dps?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 221.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -15*y. Let m be q(-2). Suppose a - 19 = m. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1, -2\/6919, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 59*w + 375. Calculate y(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 2. Let o be w(-2). Suppose 4*x = -4*r + 48, o*x - 5*x = 3*r - 44. What are the prime factors of (r\/6)\/((-5)\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103668359.\nAnswer: 3, 15083, 24391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 0 + 0*z**2 + 0*z**3 + 0*z - 2\/3*z**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3663 + -3663. Solve -4*m - 3519 + 3527 = f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Let s = -3 - x. Suppose s = -2*q + 5*q - 9. Let w(a) = -a**3 + 4*a**2 - 4*a + 2. Calculate w(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349474 is divided by 173793?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1729954942 from 41911.\nAnswer: -1729913031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -407200576 - -2628329?\nAnswer: -404572247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 834.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91174 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**4\/4 + 10*y**3\/3 - 11*y**2\/2 + 14*y - 790. Determine q(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15220050 - 4334?\nAnswer: -15224424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 1, -24, -2, -4, -8, 15 in decreasing order.\nAnswer: 15, 1, -2, -4, -8, -24, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1003094 (base 10) to base 12\nAnswer: -4045b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 380 - 267. Calculate the remainder when a is divided by (0 - -10) + (-14 - -17).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*g + 285 = -259, 0 = 4*q + 2*g - 434. Suppose -121*s + 6409 = -q*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10336 + 23829. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -37. Let d be 4 - (z - -1 - -2). Solve -3 = 3*p, -3 = -d*x - 4*p + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - -2 - ((-150)\/7)\/((-96)\/(-3360)). What is the greatest common factor of k and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.01399mm in nanometers?\nAnswer: 16013990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 897, 903, 911, 921?\n\"Answer: m**2 + 3*m + 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*o - 671*o + 2080*o + 214 = 686*o + 2*n, o = 5*n - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131d628 (base 14) to base 15.\nAnswer: -c2153d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.147 (b) 3\/3706 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1\/2944, 4?\nAnswer: 1\/2944","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 8076.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 4*d + 2*d - 6 + 4*d. Let o = 197 + -197. Calculate m(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -300 - -306. Let p = -27 + 22. What is the nearest to -1 in 0, d, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934 times 0.2?\nAnswer: 386.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*k + 24. Let i(u) = k*u - 7*u + 3*u**2 - u + u. Let y(f) = 16*f**2 - 6*f + 37 - 37. Calculate -11*i(b) + 2*y(b).\nAnswer: -b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 301 = 2*q + 24, -4*q + 5*d - 645 = 0. Let i = q + 157. Solve 15\/7*t**3 + 6\/7*t**i + 12\/7*t**4 + 0*t + 3\/7*t**5 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 22 = 3*p + 3*z, 5*z = -2*p - 26. Let y be -3*1 - 40\/p. Solve -3*x = y*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 15*d**2 + 40*d + 28. Determine v(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 13, u: 3}. Give prob of picking 3 v.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 5*r + 4*r)*(-653*r**2 + 450*r**2 + 7790*r**2) + (r**2 - 3*r + 3*r)*(4 + r - 4) - 3*r**3 + 4*r**3 + 0*r**3 + 3*r**3 + 0*r**3 - r**3.\nAnswer: 7591*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*y + 36 = 0. What is the greatest common factor of y and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2. Let t(o) = 3*o**2 + 10*o. Give l(t(x)).\nAnswer: 9*x**4 + 60*x**3 + 100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1077480676 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20\/6977 (b) -3 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 766504\/1657 or 464?\nAnswer: 766504\/1657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/3 + (10\/15)\/(-2). Calculate the highest common divisor of 10 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzsxzgxqxxggzxu. Give prob of sequence zux.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 70 - 62*u)*(0*u + 2*u**2 + 0*u).\nAnswer: -124*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u + 3*g = -0*u - 24*u - 146, -18*g + 316 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -12. Solve 0 = y*m - 8*o + 10*o - 16, -15 = -3*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -12508*r + 175115. What is l(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (20 + -124 + (-2)\/(-1)). Suppose a = -5*r + n - 6, -5 = r + 5*a. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 + -112. Find the third derivative of 72*s**4 + s**4 + p*s**4 + 50 - 20*s**4 - 2*s**2 wrt s.\nAnswer: 3456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7437849 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 126940 from -12079.\nAnswer: -139019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -190, -284, -376, -466, -554, -640?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -54*g + 467. Determine r(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-14)*u*u**18)\/(u**9*u*u*u\/(u**(-24)*u)*u) assuming u is positive.\nAnswer: u**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d - 3*c + 5, d - 5*c = -3. Let p be -1*(-6 + 2 + 3) + 1. Solve -s - 4 = -a, -d*a - 3*a = -p*s - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 24*c - 24. Let r(p) = 5*p - 5. Suppose 2586 - 8788 = 14*l. Let d = -429 - l. Give d*r(g) - 3*z(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**5\/7 - 12844*j**4\/7 + 10303616*j**3\/7 + 1694368*j**2 - 1244046144*j\/7 + 4828329792\/7 = 0. What is j?\nAnswer: -13, 6, 1606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1000401.02 and -0.1369.\nAnswer: 1000400.8831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (308946\/(-224688))\/(11\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 26. Suppose v = 3*y - 4*g - 22, y + g = -0*g + 5. Suppose -5*t + y*t = 2. Sort t, -0.7, -1.\nAnswer: -1, -0.7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 319*m**2 + 13085*m + 234. Calculate p(-41).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6248 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*h*q**2*v - b*h + 2*b*q**2 + 9*b*v + h*q**2*v + h*q*v - 2*h*v - 12*q**2 wrt b.\nAnswer: 2*h*q**2*v - h + 2*q**2 + 9*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - a288?\nAnswer: -a27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 5)*(-2 + 1 + 3)*(46*t + 23*t - 19*t) in the form v + y*t and give y.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10212001232 (base 4) to base 16\nAnswer: -12606e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 4*r - 24, 0 = 9*x - 3*r - r - 29 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/5, 4.3, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 600 and 57?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.23 and -3870.\nAnswer: 4760.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -1 + 4\/3*h**3 + 0*h + 0*h**2. Let g be j(-1). Which is the third biggest value? (a) g (b) 2\/13 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(66)\/(sqrt(24)\/sqrt(4))*2.\nAnswer: -1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 - -8.79. Let j = 8 - u. Which is the smallest value? (a) 0.2 (b) j (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = -5*y, 2*y + 5 = -3*c + 3*y. Let q be (-3)\/c*24\/18. Put 4, q, -5 in decreasing order.\nAnswer: 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0 - -1) + 0)*2. Let t(y) = 12*y - 17. Suppose -5*s - 5*b + 5 = 0, 2*b = 4*s - 22 - 6. Let i(a) = 8*a - 11. Let n(l) = s*t(l) - 8*i(l). What is n(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2087, -4173, -6261, -8351, -10443, -12537?\n\"Answer: -z**2 - 2083*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-10)*(-3 - -1). Solve 0 = -w*z - 2*z + h - 27, 0 = -3*z + 4*h - 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22001 (base 6) to base 5.\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:40 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {r: 2, p: 6, v: 1, z: 2, x: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 33. Solve -o*t + 0 = -10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**3 - 15*i**2 - 4*i + 4. Let t be a(4). Is -4 + (-133)\/(-28) - (-12649)\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 - 3 - -4 - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*m**2 - 14*m**2 + 21*m**2)*(2*m - 3*m + 2*m)*(0*m + 4*m - 5 + 0*m) to the form v*m + k*m**2 + i + s*m**4 + q*m**3 and give s.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 1:26 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, l: 1, w: 2, z: 1, d: 1}. What is prob of picking 1 l and 1 o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 3*g + 1, -4*r = -3*g + 8. Let t(b) = 14*b + 2. Let y(d) = -59*d - 3. Let x(s) = s + 3. Let z(k) = 6*x(k) - 3*y(k). Determine r*z(w) + 27*t(w).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - 5) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 2*c + 28. Calculate v(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2741 = -178*h - 249 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 176567 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*v + 1)*(-3 + 3 - 3*v)*(-v - 9*v + 9*v + (1 - 1 - 2)*(2*v - v + v) + 3*v - 2*v - 2*v - 3*v + 3*v + 2*v).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 - 68. Suppose 0 = -21*v + 7*v + 182. Let h = v + 6. What is the remainder when r is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 21*h + 1. What is the units digit of w(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-3)\/3 - -7246*2. Is (2\/(-1))\/(l\/2072 + -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 188?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*r*x**2 + r*x - r + 20*x**3 - 107*x wrt x.\nAnswer: 20*r + 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -37*u + 38*u. Suppose -q = r - 17, -4*r + 6*q + u = 2*q. Let v be r\/63 - (1580\/(-18))\/1. Calculate the highest common factor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-40)*21*6\/(-9)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:46 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/3 - 5 - (-38)\/(-57).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z - 1 = -2*l, 9 = 2*z - 3*l. Determine w so that 2*w**3 - w**4 + w**z - 3*w**3 + w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28316, -56867, -85428, -114005, -142604, -171231?\n\"Answer: -f**3 + f**2 - 28547*f + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.0507, 1, 1483, 3, 4 in descending order.\nAnswer: 1483, 4, 3, 1, 0.0507, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.41 - -0.41. Let f = o - -51.3. What is the nearest to -0.1 in f, 1, 11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6672 + 6721. What is the greatest common factor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2 - 181*q + 1765. Calculate f(-38).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/(-25))\/(35\/85)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/262020 and -83\/18422388.\nAnswer: 1013231340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-3)\/(-12))\/((-4)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28593 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 217308?\nAnswer: -1\/72436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - d - 7 = -6*g, 33 = 2*g + 5*d. Let k be ((-3)\/2)\/((-2)\/g). Solve -k*f - 2*f = -10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2 - 3. Let a(y) = -4*y**2 + 2. Let b(h) = 6*a(h) + 4*v(h). Let w(t) = t**2. Give w(b(s)).\nAnswer: 64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*-4*(2 + -4 + -1 + sqrt(200) + 4))**2.\nAnswer: 1920*sqrt(2) + 12944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l + 3. Let t be o(0). Let s(d) = 5*d**3 + 3*d**2 + 5*d - 5. Does 21 divide s(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by (8\/14)\/(-2) - (-142)\/7?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50868659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t + 48 - 132 - 48 - 12.\nAnswer: -24*t - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3381 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: Is 1705048661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44 + 45)*(5 + -1). Suppose 0 = 2*k + 10, 2 - 3 = -b - k. Solve b*w - t = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*z - 15 = -0*z, 41 = 5*a + 4*z. Let x be 20\/6 + (-4)\/(-6). Solve -x*f = -f - a*b + 15, 4*f = -5*b - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u)**43\/(u**(-3))**44 assuming u is positive.\nAnswer: u**(-169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (600\/35)\/(-6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + 17. Let a be n(-7). Let f(m) = 2*m**2 + m. What is the remainder when f(a) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*o - 72*o - 4*u = 60, 5*o = -3*u + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4 - 154*h**3 - 1142*h**2 - 2646*h - 1656 = 0. What is h?\nAnswer: -69, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + 0*s)*(2*s + 3*s - 7*s) - 2*s**2 - s**2 + 0*s**2 + (-4*s + 2*s + s)*(2*s + 0 + 0).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, 43, 174, 433, 862, 1503, 2398, 3589?\n\"Answer: 7*k**3 + k**2 - 7*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6*n - 165. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 21. Let d(a) = -a**3 + 2*a**2 + 7*a - 6. What is d(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*m**3 + 3*m**4 + 2*m**2 - 3*m**2 + m**2 + 4*m**4 + (65 - 65 - 35*m**2)*(-2*m**2 + 2 - 2) as j*m + l*m**2 + x*m**4 + r + n*m**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than -2.451?\nAnswer: -10.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60404403.\nAnswer: 3, 20134801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3576 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1585327, 3170667, 4756007, 6341347?\nAnswer: 7926687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*(3 - (-23)\/(-2)). Suppose -4*i = -5*u - 86, -6*i - 3*u + g = -2*i. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = -66. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2. Let s(r) = 3*r**2. Let k(m) = 3*h(m) - s(m). Let l(y) = 15*y. Calculate k(l(v)).\nAnswer: 675*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - m**2 + 9*m - 3704. What is u(0)?\nAnswer: -3704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -7 (c) -2\/3 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w - 44. Let s(v) = -3*v + 22. Let u(i) = -3*q(i) - 7*s(i). Let m(r) = 2*r**2 - 4*r**2 + r**2. What is u(m(b))?\nAnswer: -3*b**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -79.02*-31682\nAnswer: 2503511.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 25. Let g be (-7)\/(-7)*1*c. Let q(b) = -38*b**2 - 236*b - 43. Let x be q(-6). Solve 4*u = -3*n - x, 5*u = g*n - 3*n - 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -280, -284, -300, -334, -392, -480?\n\"Answer: -n**3 + 3*n - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 2*p**3\/3 - p**2\/2 + 5*p. Let d be v(1). Find the third derivative of u**2 + 10*u**3 - 4*u**2 - 5*u**d wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3\/11, 0.1, 0.5, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 9*b - 12. Let s be d(9). Let x = 12 + s. Suppose -3*h - 13 = -m - 0, h + 4 = x. Are -4\/9 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4. Let m(l) = -729*l + 14580. Give 7290*i(j) + 2*m(j).\nAnswer: -1458*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16d6db - -3?\nAnswer: -16d6d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5463, -10980, -16497, -22014?\nAnswer: -27531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/61014?\nAnswer: 1\/61014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1251280*i**2 - i - 2018807?\nAnswer: -2502560*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -29*l**7\/280 - 9*l**4\/4 + 91*l**3\/3 - 43. Let p(u) be the third derivative of k(u). Differentiate p(s) with respect to s.\nAnswer: -261*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*g - 12 = 0. Let a be -1 - -2 - g - -1. Let m be (1 - (-4)\/(-16)) + 57\/a. Solve m = 2*t + 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -436*y**5\/5 - 92*y**2 + 5*y - 429. What is the second derivative of m(j) wrt j?\nAnswer: -5232*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -596, -592, -588, -584?\n\"Answer: 4*k - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 30 = 5*f, -16 = 2*f - u - 3*u. Let j(n) = 6*n**f + 3 - 8 - 2*n**2. Let x(g) = -4*g**2 + 4. Let h(i) = -5*j(i) - 6*x(i). Give h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d**3 - 2*d**2 + 2*d - 1. Let v = 0 + -3. Let n be (-4)\/6*(-9)\/v. Let h be (-12)\/(-8) - (-1)\/n. What is c(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 = 3*d. Suppose h - d*j - 106 = -h, 3*j - 6 = 0. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.0174km in millimeters?\nAnswer: 10017400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - (0 - 5)) + 0. Let u(d) = -4 - 6 + b + 10 - 2*d. Give u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1691671055?\nAnswer: 5, 193, 349, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 465.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5 (b) 2\/13 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 256, 487, 720, 955, 1192?\n\"Answer: t**2 + 228*t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.4029 and -0.74.\nAnswer: 2.518146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddho when four letters picked without replacement from {h: 7, z: 5, o: 1, d: 3}?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 - (3 + (1 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 0.4, -1.322?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*w - 28. Let z be ((-3)\/3 - 3)\/(-2). Suppose 2*r - z*n - 22 = -2*r, 5*n + 25 = 0. What is the remainder when w is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**31)**9 assuming l is positive.\nAnswer: l**(-186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((570\/12)\/5 - 10)*-62?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -120212 (base 3) to base 2\nAnswer: -110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/137 + 9667\/1370. What is the common denominator of l and -101\/44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25556018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2305.21 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -254*p**2. Let s(f) = 475*f. Give c(s(w)).\nAnswer: -57308750*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46291 - -187833\/4. Let c(v) = 5*v**2 - 25*v - 89. Let i be c(-10). Let k = z - i. Which is bigger: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w + 1330 = 36*w + 132*w. Put -74, w, 2 in decreasing order.\nAnswer: w, 2, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1724 - -3?\nAnswer: -1721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82004)\/1026 + (103 - 23).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 25. Calculate the remainder when -3 + 0 + 6 - -50 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 455140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3013.997254 + 3014. What is b rounded to four dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98798.15 decades in millennia?\nAnswer: 987.9815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -1639*i + 1635*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2975)\/306 - -10 - (-2)\/(-4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**3\/6 - 2*m**2 + m. Let k be r(-5). Let b = k + 14. Solve 4 = -b*a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.069 * 73658.\nAnswer: 5082.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/2 + b**4 + 20*b. What is the third derivative of f(z) wrt z?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3806 or 3815?\nAnswer: 3806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*s - 2, -2*s = -2*w - 6*s + 4. Suppose m = 5*k - 14, -5*k = m - 6 - w. Let a(i) = 4*i - i - k*i. Let c(g) = g. Give a(c(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 - 6*c**2 - 6*c - 2. Let g(h) = h**2 - 6*h - 3. Let w be g(6). What is the tens digit of y(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 5*z + 1. Let v be y(7). Suppose 63 - 3 = 5*b. What is the remainder when (-4)\/(-10) - (-699)\/v is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 43*t + 30. Let z be d(-39). Let a(s) = 3*s**2 - z*s + 186*s. Let q(n) be the first derivative of -2*n**2 - 1. Calculate q(a(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29\/102 + 2\/17. Suppose 46 = 2*v + t, -t = -791*v + 786*v + 108. Which is the nearest to 0? (a) -0.3 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 13, n: 5}. Give prob of sequence kkn.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1294 + 360. What is the smallest common multiple of 16 and j?\nAnswer: 13232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703.979 micrometers to centimeters.\nAnswer: 0.0703979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02263757 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0 + 1\/12*a**4 + 11\/60*a**5 + 0*a - 1\/70*a**7 - 34*a**2 + 0*a**6 + 5\/3*a**3. Find the second derivative of f(t) wrt t.\nAnswer: -36*t**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 8 = 5*b + 14*x - 15*x, 2*b + 10*x + 48 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/3 - 17\/15. Let y = -57 - -21. Let t = 42 + y. Which is the smallest value? (a) t (b) -1\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 2*l - 95. Let j be g(-9). Solve -j + 4 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -19.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 5:20 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y = -23*y + 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/20378030 and -35\/126343786?\nAnswer: 631718930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/(-60) - 7\/(70\/(-25)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.1 - -11.1. Which is the second smallest value? (a) 2 (b) 24 (c) p (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18.1 and 3255564926?\nAnswer: 3255564907.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from {n: 2, v: 1, k: 14}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*q + 24. Suppose -10 = -3*w + 26. Calculate the highest common factor of q and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -348 (base 10) to base 14\nAnswer: -1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 + -3. Let n = -51214 - -51217. Which is the second biggest value? (a) 2\/19 (b) u (c) n (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -34*u. Let s(p) = 106*p**2. What is f(s(c))?\nAnswer: -3604*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*f = 5*t - 173*f - 20, 4*t - 4*f - 28 = 0 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 24) + (-26 - -64)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12 = -2*i. Let m be 105006\/i + -1 + 3. Round m to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3386*m**2 + 4*m + 11431. Let d(g) = -3389*g**2 + 5*g + 11435. Let p(i) = -3*d(i) + 4*v(i). What is the first derivative of p(s) wrt s?\nAnswer: -6754*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19237116 and 19.\nAnswer: 365505204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -40, 4.\nAnswer: -40, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 19*r + 19. Let t(w) = -9*w - 10. Let a(o) = 6*s(o) + 11*t(o). Calculate the remainder when a(5) is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 998, 2011, 3026, 4043, 5062, 6083, 7106?\n\"Answer: b**2 + 1010*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1285 - 264. Suppose 7*h = d + 148. What are the prime factors of h?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 8, q: 4}. What is prob of picking 2 s, 1 q, and 1 l?\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8a9 - 2?\nAnswer: -8ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1279541254 and -33\/10?\nAnswer: 6397706270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1822.4+-4\nAnswer: 1818.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13138 + -13141. Put -173\/7, n, 0, -1\/4 in increasing order.\nAnswer: -173\/7, n, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -632 and -0.22.\nAnswer: 139.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 410876, 410912, 410972, 411056, 411164, 411296, 411452?\nAnswer: 411632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 + 3*d - 25. Let f be w(3). Solve q - 5 = f*s, q + 4*s + 5 = -14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7. Suppose 0 = -s*n - n. Let d(u) = -u + 10. Determine d(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531559 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186255*h + 372512*h - 186251*h - 735)*(2 - 2 + 2*h).\nAnswer: 12*h**2 - 1470*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1013 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 u when three letters picked without replacement from {p: 1, j: 2, h: 1, u: 2, a: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(252))*5)**2.\nAnswer: -600*sqrt(7) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 6:43 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 7:23 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8501*l + 61142 = -210890 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 2*y + 4. Let g(h) = -5*h**2 + 4*h - 7*h**2 - 12*h + 4*h + 5*h**2 - 7. What is 3*g(f) + 5*n(f)?\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.84 + 2.84. Let w = 3.08 + -0.08. What is the smallest value in w, s, 6\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/(-6)*5\/(-30) + 3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(110))\/sqrt(11))\/(sqrt(5) + (sqrt(5) - (2*sqrt(605) + sqrt(5)))).\nAnswer: -sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6693.845l?\nAnswer: 6693845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/414 and 13\/18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -20*v**2 - 2*v - 14. Let a(k) = -7*k**2 - k - 5. Let j be -3 - (294\/21 - 1*6). Calculate j*a(d) + 4*p(d).\nAnswer: -3*d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260 = 559*n - 629*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38216209 is divided by 1140?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6419 and 6664.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03808 and 1.2.\nAnswer: -0.045696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31190813 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3399125 and 2485?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 6*i - 1. Let g be (-34)\/6 - (-5)\/(-15). Let f be a(g). Let s = 3 - f. Solve s = y - 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -474415 and -0.061.\nAnswer: 28939.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 187.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0*w + 5*w)*(2 - 4*w - 2) - w**2 - w**2 + 0*w**2 + (4*w + 0*w - 5*w)*(5 - 5 - w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**3 - 81 + 81.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-109)\/(-5) + 4\/20. Is 12 a factor of l - 0*(1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(6960\/16501) - (-72)\/(-90).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65\/8, -0.2, 14 in increasing order.\nAnswer: -65\/8, -0.2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.012 + -1.562. Let h = n + 1.5. Let k = h + 2.05. Which is the nearest to -1\/3? (a) 1\/6 (b) 3\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 6. Let v = 40 - 35. Determine a(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/25 + (-122)\/10. Is -12 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2 - 856974*c + 61200369723 = 0. What is c?\nAnswer: 142829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*l - 5, -4*l - 26 = -2*v + 4. Suppose 5*j + 12 = -3*r, 3*r = 2*j - v - 7. Find the second derivative of -4*p + 25*p + j*p + 37*p**3 wrt p.\nAnswer: 222*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1203912573 + 18725.\nAnswer: 1203931298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1648417.\nAnswer: 1648417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -436.19\nAnswer: 52.3428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -831\nAnswer: 10803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 9*l - 12*l + 13, -3*l - 5*p + 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(1\/(-3)) - 3. Is 16 a factor of (-138)\/(-4) - d\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -868 + 1022. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*s = 14, 3*p - 9 = p - s. Suppose 12 = 7*h - p*h. Determine t, given that h*t**4 + 4*t**2 + 8*t**3 - t + t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -21*g**2. Let k(u) = 14*u. Determine k(q(m)).\nAnswer: -294*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 10*u + 7*u = -6*u + 27, 51 = -6*k + 3*u for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 42*h**2 + 46*h - 126. Let u be w(43). Which is the closest to -1? (a) -2\/13 (b) u (c) -18\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (-220)\/(-32) + -17)*(0 - -22).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 5) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83398.257 rounded to the nearest ten?\nAnswer: 83400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 x when three letters picked without replacement from bxbtbxbbbbbbxbbb?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m + 2. Let u(v) = 11*v + 4. Suppose -5*d = -4*d + 7. Let w = d + 11. Determine w*u(j) - 9*p(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227676371?\nAnswer: 13, 17513567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/(648\/243).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/20 + (-180)\/(-1800). Let z = 1 - 4. What is the closest to -1 in n, z, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828627293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/9 - 12799*t\/9.\nAnswer: t*(t - 12799)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-87*q**3 - 119*q**3 + 42*q**3)*(5 - 2 - 1)*(3 - 1 + 5) to the form v + g*q**3 + w*q + k*q**2 and give g.\nAnswer: -2296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 3*d**3 - 2*d**3)*(4*d - 4*d - d**2) + (3 - 3*d**4 - 3)*(-2*d + 3 - 3).\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -3 (c) 10\/11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76452726331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 35*g - 396. What is the greatest common divisor of g and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 882331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -62.7148.\nAnswer: -61.7148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f - 28 = -4*z + 13*f, 5*z - 9 = -3*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44221459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, 7, 7, -7, -41, -101, -193?\n\"Answer: -l**3 + 2*l**2 + 9*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3702, 7449, 11196, 14943, 18690?\n\"Answer: 3747*w - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s - 3. Let h be v(-2). Let p = 9 + h. What is the first derivative of -8*b**3 + p - 6 + 8 + 0 wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 - 5*u + 14. Let s = 980 - 685. Calculate the remainder when s is divided by t(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16306831?\nAnswer: 3089, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2 + 4*a - 15*a + 4 + 2. Let p be m(4). Let y = -27 - p. Round y to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + 2 + 2 + 13. Suppose -i*o + 3858 = -355. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -83, -152, -215, -278, -347, -428, -527, -650?\n\"Answer: -j**3 + 9*j**2 - 89*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 6, 4, 5 in increasing order.\nAnswer: -98, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/4568 and 103\/82224?\nAnswer: 82224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 13*a - 121*a)*(-17 + 2 + 2)*(2*a + 2*a - 2*a) + (2 - 2 + 2*a + (5 - 4 - 3)*(a - 4*a + 2*a))*(-2*a + 2*a + 2*a).\nAnswer: 3414*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l - 3*l - 3*l + (2 + 1 - 1)*(0*l - 3*l + 5*l) - 2*l - 2*l + 6*l + 86*l - 22*l - 24*l.\nAnswer: 35*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3081 and 304025891.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16*-348*86\/16512\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 224 and 0.2.\nAnswer: 44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 310728059\/750 - 414304. Find the common denominator of x and -71\/2.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide -7*((-10999)\/(-7))\/(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 25. Let n be l(9). Suppose 6*t - n = 7. Let m(d) = -11*d**3 - 2*d**2 - d. Let h be m(-1). Solve 4*w = -2*b + h, 3*w + 3*b - t = 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 59, 66, 73, 80?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545816 is divided by 182.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -235584, -471120, -706656, -942192?\n\"Answer: -235536*d - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 0*g**3 + 0*g**5 + 0*g**4 + 0*g + 0 + 1\/360*g**6 + 3*g**2. Suppose d(k) = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-22) + 2\/4. Let j = -4.70161 + -0.06939. Let b = j - 0.229. What is the biggest value in b, 4, -2\/3, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.12 - 52.38. Let p = -50 - w. Let q = p - 3.3. What is the nearest to q in -5, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3*n + 6, 5*n - 36 = -n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2 and 23\/3840.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 15, b: 4}. What is prob of sequence bbq?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4341 (base 10) in base 11?\nAnswer: 3297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6544*o = 6696*o - 7600 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -258 + 28?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/9? (a) -5 (b) 2 (c) 149 (d) -22\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 12454559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1303413377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a67a (base 13) in base 3?\nAnswer: -102022220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -334 - -1002255?\nAnswer: 1001621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/52 and -71\/21320?\nAnswer: 21320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i + 71 = 5*d, i + 79 = 5*d. Let t be (-4)\/(-10) - (-69)\/d. What are the prime factors of 3*t + (-3 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)*q**(1\/3)\/q*(q*q*q**1)**(-33) assuming q is positive.\nAnswer: q**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2, -4.3, 4, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -226985, -226989, -226993, -226997, -227001?\n\"Answer: -4*j - 226981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/7 - 84*d - 1773\/7.\nAnswer: (d - 591)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 4:07 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -853 - -858. Suppose -3*p + s + 15 = -2*p, 0 = -p - t*s + 9. What is the greatest common factor of p and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 82. Let a(i) = 4*i + 0 + z + 3 + 1. Suppose 0 = -5*b + r + 3 - 19, 2*b - 4*r - 8 = 0. Calculate a(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 422, 428, 436, 446, 458?\n\"Answer: z**2 + 3*z + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 181259 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4978, -19934, -44858, -79750, -124610?\nAnswer: -179438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 2, j: 1, z: 1, n: 2, w: 2}. What is prob of picking 1 j and 1 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y + 30*y = 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 21*w**2 - 20*w + 5. Let v be u(-20). Sort v, -3, 0 in increasing order.\nAnswer: -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 1. Let w be b(-3). Suppose w*k - 16 = 0, 4*i + 0*k = k. What is the third derivative of -2 - 17*t**2 + 28*t**3 + i + 1 wrt t?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) - (-10)\/4. Let y be ((-2604)\/18)\/(u\/(-3)). Suppose -5*k = -3*g - y, 0*g + g - 89 = -2*k. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1255 = 8*j - 9*j. Suppose -2*l + 323 = 5*c - 212, 5*l - 4*c = j. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008158135 to four decimal places.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 8, 223, 5.\nAnswer: 4, 5, 7, 8, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 623 and 22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 - -3.9. What is the closest to 2\/3 in -8, s, -3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*u**3 + 53*u**3 + 3*u**3 + 67*u**3 + 54*u**3 - 289*u**3 + 59*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*s**3 + 9\/5*s**2 - 6\/5*s + 0.\nAnswer: -3*s*(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f**2 - 17470*f + 17471. What is z(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2. Suppose 0 = -p - 9 + 11. Let i(l) = 16*l**2 - 10*l**p - 9*l**2. Calculate i(x(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*u + 3*f + 2, -5 = -5*f. Let k = -1 + 5. Suppose k*r + 12 = -0*r. Put r, 5, u in increasing order.\nAnswer: r, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-8 + -9 - -13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1187 = 5*b - 1683. Suppose 369*g - b = 367*g. Does 35 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 + 0*m + 0*m)*(-2*m + 2*m**2 + 2*m) + (-m + m + 9*m)*(3 + 2*m**4 + 3 - 5).\nAnswer: 24*m**5 + 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5 + 1. Let v = 1 - l. Suppose r + 5 = 3*u, -r + 2*u + 5 = 4*u. Solve 0 = -v*n + 2*p + 3*p + r, -n - 1 = -3*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 711897*v**2 + 1483238.\nAnswer: 1423794*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2723003 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 120 = -s. Let t be 9912\/s + (-6)\/15. Round t to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7825860*u**5 + 1576645*u?\nAnswer: -156517200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*(w\/(w*w*w*w**(2\/49))*w*w)\/w*w)**(-1\/55)\/((w**0)**22\/(w*w**(-1\/3))**44) assuming w is positive.\nAnswer: w**(21614\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1512 + t**4 + 19*t + 229*t + 3*t**4 + 50*t wrt t?\nAnswer: 16*t**3 + 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*(-88)\/(-33)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163544757*u**4 + 119174987*u?\nAnswer: 1962537084*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqdqqqdqqqqdqqqq. What is prob of picking 3 q?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4934694 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**19*q*q\/(q\/(q*q**0*q)) assuming q is positive.\nAnswer: q**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**7\/70 - t**6\/20 + 19*t**5\/60 + 5135*t**4\/24 + 647*t**2 - t. What is the second derivative of c(k) wrt k?\nAnswer: -36*k**2 - 36*k + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 5:50 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 9*r**2 + 11*r - 21. Let h = -154 - -162. Let o be q(h). Determine v, given that 2\/19*v**4 + 0*v**2 - 4\/19*v + 4\/19*v**o - 2\/19 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000205372 to seven dps.\nAnswer: -0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**3 + 101*p**2 + 75*p - 151. Give z(-15).\nAnswer: 1199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 517181 or 3103079\/6?\nAnswer: 517181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k = -52*k + q + 10, 0 = 9*k - 2*q - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 3 + -1 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxxhxxxhxxhxxx. Give prob of picking 1 h and 1 x.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3\/5 + 6*y**2 - 552*y\/5 + 104 = 0?\nAnswer: -26, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 289100 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**5 - 52*l**4 - 14168*l**2 - 70912*l + 304 wrt l.\nAnswer: 60*l**3 - 624*l**2 - 28336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3161*o**2 + 30*o + 28. Is b(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((1 - -8) + (109 - 150))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -38129, 136\/11 in decreasing order.\nAnswer: 136\/11, -1, -38129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*((-1 - 1 - 4)*(-1 + 0 + 3) + 0 + 0 - 1)*(0 + 0 - 3*g**2).\nAnswer: -78*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 2969*y**2 + 2202255*y + 2205225.\nAnswer: (y - 1485)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/138 and -103\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + h - 2*g - 3782, -2*g + 958 = h. Let z = h + -279. Let r = z - 415. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 8:08 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -14*o - o. Which is bigger: 2\/35 or o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 1. Let z(h) = 8*h - 16. Let r(i) = -18*o(i) - 2*z(i). Let j be r(-12). What are the prime factors of (6\/3 + -4)*55\/j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 - 282 = 3*v. What is the remainder when 21 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = -16. Let y = b - 6. Solve y*g = -a + 6, -3*a + 3*g = g + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(6\/(-10)) - (-78 - -4). Let p = 142 - q. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 14*o - 4. Solve 5*m + 1 = -o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92736 divided by -4.\nAnswer: -23184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11898 - 11889. Let y(l) = -l**2 + 19*l - 15. What is y(j)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*a + 16. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15 + -0.68. Let p = u + 0.43. Sort p, -4, -2\/7.\nAnswer: -4, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*(sqrt(143) - (sqrt(143) - sqrt(143)*1)) + sqrt(143))*1)\/((sqrt(99)*5 + sqrt(11))*-2*5).\nAnswer: 3*sqrt(13)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(68) + 1 - sqrt(68))*5)**2 + 5*(sqrt(68) + 0)**2).\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2))**(21\/4)\/(u\/(u**(-2\/5)\/u*u))**23)**(6\/29))**(-44) assuming u is positive.\nAnswer: u**(49434\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -23*h + 173. Let u(o) = 8*o - 59. Calculate -8*u(z) - 3*y(z).\nAnswer: 5*z - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*t - 1)*(t + 2*t - 5*t) + 7*t**2 - 17*t**2 - 28*t**2 + (-7*t + 8*t + 6*t)*(5*t - 2*t - t).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 2051?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 9. Suppose -3*g - 4*p = -0*g + c, p = g. Let k = 1 - g. What is the remainder when 5 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 698 = 11*a, -5*s + 5*a + 593 = -1197. What is the least common multiple of 24 and s?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9365 > -194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1338812 and 29156?\nAnswer: 49536044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 44. Let c(p) = -p - 15. Give 17*c(q) + 6*u(q).\nAnswer: q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130 - 4 - (384 - 340)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -734*p - 120 = -740*p. Solve -p = 10*i - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 n when four letters picked without replacement from {x: 4, n: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -24. What is the fourth biggest value in -3, 0.3, 3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22\/45 - 1\/9. Let h = -16.49 + -1.61. Let r = 18 + h. What is the nearest to r in -0.4, -3\/7, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5487156 litres to millilitres.\nAnswer: 548.7156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-8) - -4 - 1\/(-4). Let p(k) = -k**2 + 6*k. Give p(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1 = 2*t - 3, -4*t + 17 = c. Let g(m) = 2*m**2 - 11*m + 8. Let u(a) = a**2 - 7*a + 5. Let k(b) = -5*g(b) + 8*u(b). Determine k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g + 2*g**2)*(122*g + 14*g + 6*g).\nAnswer: 284*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 447 (b) 44 (c) -2 (d) -1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/(-15))\/(1\/(-3)). Let k be m - -1 - (-2 - 0). Let j(q) = 2*q - 9. List the prime factors of j(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1485 and 663070320.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*b = -m - 47*b + 5, 0 = 5*m - 3*b - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (240 - 211) + -1 + 55 - 9\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6132 a factor of 929329128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 374*k**6 + 53*k**2 + 2*k wrt k?\nAnswer: 44880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1324 + -1395 + 208 + 2\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-120)\/(-45)*(-9)\/(-12). Solve t*k - 3*q = 6, k = -k - 5*q - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - 3*p + 4*p)*(4*p - 32*p - 1 + 16*p + (0 + p + 0)*(0 + 6 + 0)) as k*p + c + o*p**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54328530 and 14?\nAnswer: 380299710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, 1078, 2903, 5460, 8749, 12770?\n\"Answer: 366*f**2 - 5*f - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-4\/3)\/((v\/(v\/v**(16\/7)*v))\/v**(-8)))**47 assuming v is positive.\nAnswer: v**(-10481\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7699334, 7699331, 7699328, 7699325?\nAnswer: 7699322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 8. What is the least common multiple of p(-4) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 250*q**2 - 753*q + 1444. Give x(-253).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, 0, 2.2, 4?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0233 and 40218.\nAnswer: 40218.0233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**5\/8 + 15*x**4\/4 - 267*x**3\/8 + 177*x**2\/4 + 33*x - 48 = 0.\nAnswer: -16, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-4 + sqrt(204) + sqrt(204))*1*2)\/((sqrt(108) + sqrt(108)*3 - sqrt(108))*5 - sqrt(108)).\nAnswer: -2*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -691\/154 - -101\/14. Find c, given that -14\/11*c**2 - v*c - 18\/11 - 2\/11*c**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 11*m + 13. Determine f(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102.6 - 103. Which is the nearest to 0.1? (a) 0.02 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8*j + 160. Let m be d(20). Suppose -p - 2*i = -52 - 63, p + 3*i - 116 = m. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvvvttt. What is prob of picking 1 v and 2 t?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:38 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -8*y + 3*y. Suppose y*a - 1325 = 4*m, 2*m = -7*a + 4*a + 1331. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2533341*s - 2533321*s + 1140 for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2387608302 less than 0.1?\nAnswer: 2387608302.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 99096210 a multiple of 1410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26498, 52922, 79274, 105554, 131762, 157898, 183962?\nAnswer: 209954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**7\/7560 + q**6\/240 + 37*q**4\/12 + 2*q + 10. Let i(f) be the third derivative of j(f). Factor i(a).\nAnswer: a*(a + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/455 and 107\/38950170.\nAnswer: 506352210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -1089*w**5 + 596442*w**4 - 51617470*w**3 - 8876276800*w**2 - 2686217625*w - 203411250 = 0. Calculate w.\nAnswer: -82, -5\/33, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 5*n**2 - 22*n - 17. Is q(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:09 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.095322 * -18.\nAnswer: 37.715796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-13 - (6 - 13))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9376 greater than or equal to 7208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - d - 4 + 3*d)*(-19 - 9 + 14) - 3 - 3*d + 3)*(-6*d**3 + 4*d**3 + d**3) to the form t*d**4 + q*d**2 + v*d**3 + o + y*d and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -476677430*d**5 + 123497*d - 1491?\nAnswer: -9533548600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4364804984?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23287506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10481.1 - 10481. Sort f, -7\/5, -31 in ascending order.\nAnswer: -31, -7\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 8, 3, -90 in descending order.\nAnswer: 8, 3, -10, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.096297+-4491\nAnswer: -4491.096297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, q: 4}. What is prob of sequence qqw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5054, -10112, -15170?\nAnswer: -20228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87659167 a multiple of 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - -27. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/5)\/((-4)\/20*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9541 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 + 5 = 0. Suppose 2*a - 3*i - 24 = 0, m*a - i + 3*i = 23. Let b = 2 + a. What is the highest common factor of b and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1082 - -1082. Do -1\/171 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5 - 909*r**4 + 47160*r**3 - 697848*r**2 + 560880*r + 1306800 = 0. Calculate r.\nAnswer: -1, 2, 30, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18768 = 5*z - 2*h, -3*h + 2*h = z + 3755. Let n = 15117\/4 + z. Let w = n + -25. Which is the third biggest value? (a) 0 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146 + -115. Let a = x + -35. Suppose c = 8 - 7. Put 0, c, a in descending order.\nAnswer: c, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - a - 5247 = 0, 4*a = 4*u - 6003 - 1001. Calculate the highest common divisor of 92 and u.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -11, 2, 1\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Suppose 4*a - 3*a + 3 = 0, 5*r = b*a + 52. Let m = 31 - 9. Calculate the remainder when m is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 170266*z - 526459?\nAnswer: 170266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3 + 429*p**2 - 28278*p + 272376 = 0.\nAnswer: -194, 12, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = t - 4*d, t + 4*d = 6*t - 41. Suppose 5*f + t*o - 25 = 0, -f + 9 = -2*o + 1. Let h = -10 - -13. What is the greatest common factor of h and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(1584) - (2 + sqrt(77)\/sqrt(7) - sqrt(11)).\nAnswer: -48*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 612*i. Let y(b) = -19*b**2. What is v(y(u))?\nAnswer: -11628*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8797.146nm?\nAnswer: 0.0008797146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 + -27 - 20) + 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1976)\/(-195))\/19*5\/12.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3513359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81674959*n - 4 - 81674965*n - n**3 + 163349924*n.\nAnswer: -n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k + 18. Let z be (-3 - -3)\/4 + 0 + 6. Is a(z) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**0)**33\/(f*f*f\/((f**4\/f)\/f)*f*f*f*f**(-9)))**(-7\/4))**(-38) assuming f is positive.\nAnswer: f**(665\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 88610307.3 and -113.\nAnswer: 88610194.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 122. Is (-171)\/(-6)*v\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.5 (b) -1\/313 (c) 10 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 53*b**2 - 115*b - 25. Is 182 a factor of n(-51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 6.7. Which is the nearest to 2\/7? (a) g (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 20352*x + 103751. What is h(-5)?\nAnswer: 1991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 321732 = -1048697. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + f + 3524 = 1263, 0 = -5*q - 3*f + 5680. Suppose q + 150 = b. Suppose -3*a - 526 = -h, -3*h - a + b + 275 = 0. Round h to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-440)\/(-330)*(-6)\/28?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1243, 1242, 1241?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (25\/(-15) + 5)\/(2\/24) is divided by 79\/7 + (-4)\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 21 (b) 4 (c) -2 (d) 0.1 (e) 1\/7 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 3*k + 3. Let y be m(2). Suppose 5*w - 2*q - 613 + 36 = 0, -3*w - q = -344. Suppose y*t = 10*t - w. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431914870?\nAnswer: 2, 5, 143191487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*d - 3*y, 0 = -4*d + 3*y + 8. Suppose -d*k - 669 = -5*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3 = 4*a - 3*m + 9, 4 = 2*a + 75*m - 69*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**4\/2 + 63*d**3\/2 + 4419*d**2\/2 + 8637*d\/2 + 2142 = 0.\nAnswer: -28, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -264 - -261. Which is the nearest to -0.17? (a) -4 (b) 0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*k - 54, -4*k + 72 = 4*p - 0*k. Calculate the remainder when 35 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 11:52 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.18 + -29.982. Let d = 3 + n. Round d to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.81287 decades to millennia.\nAnswer: 0.7581287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444049441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*c + 101*c + 104*c - 347*c.\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 3 in increasing order.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*z + 2, 2*z = 10061*i - 10066*i + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30431 a multiple of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.3 - 3.358. Let p = -4.058 - d. Which is the closest to -1\/4? (a) 4 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= 170\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*(-10)\/20. Which is the closest to -0.4? (a) 1 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(2*(1 + sqrt(405)) + 5)**2 + -2.\nAnswer: 756*sqrt(5) + 5001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 580576303 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-2 + 1 + 0)*(0 - 2 - 4)*(-399*r + 118 - 61 - 53).\nAnswer: 2394*r - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7)*1)*-1 + sqrt(7) + (sqrt(175) + 0 + sqrt(175) - sqrt(175)) + sqrt(112) + 3 + -2 - (-1*3*sqrt(70))\/(1*sqrt(810)).\nAnswer: 1 + 25*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.821\nAnswer: 0.0821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**5 - 108*b**5 + 3 + 216*b**5 - 195*b**5 - 128*b - 446*b**5 - b**4 wrt b.\nAnswer: -10700*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.839481 + 421\nAnswer: 417.160519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5524200091 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l - 9. Let z be 2\/l + 17\/3. Solve z*u = 8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**2 + 0*b**2 + 2*b**2)*(1003 - 153 - 21).\nAnswer: -4145*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*f + 840 = 212*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*250\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -2, -110950, -1, 2, 0, -3 in descending order.\nAnswer: 33, 2, 0, -1, -2, -3, -110950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let w(i) = -i + 135347017. What is m(w(v))?\nAnswer: 2*v - 270694034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/12*(-20)\/(-15). Let z = -113 - -115. Which is the nearest to z? (a) -5 (b) -3\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 7*r - 8. Let v(k) = 2*k**3 - 4*k**2 - 17*k - 15. Let o(c) = c**3 - 3*c**2 - 16*c - 15. Let a(w) = 4*o(w) - 3*v(w). Give 6*a(i) - 11*x(i).\nAnswer: -i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1640682 and 828.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -0*o + o. Suppose 7 = -16*c + o. Solve -2*v - 2*l - 12 = 0, v - 4*l - c = -4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:50 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, t: 4}. What is prob of sequence tt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**3 - 2*h**2 + 1. Let m be i(1). Suppose -m*v - 2*v = 225. Let g = 149 + v. What is the greatest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 + 32c?\nAnswer: 30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njfjqjfifjqfqjfq. Give prob of picking 1 i, 1 q, and 1 n.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7)**43 assuming g is positive.\nAnswer: g**301","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163\/36 + -3\/4. Let l = 1484 + -3041\/2. Find the common denominator of l and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 8 = -3*r. Let p be (-10)\/r*6\/1. Suppose -x - 3*u = -6*x + 18, 4*x - p*u - 16 = 0. Solve -2*o + 3*w = x, -3 = -5*o - 3*w - 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpp when three letters picked without replacement from {h: 3, l: 7, p: 8}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/2*(-2)\/(-5). Let f be -9*(-4)\/6 - 10\/5. Let j = -1 - -1. What is the smallest value in w, f, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 minus 11.761199677?\nAnswer: -246.761199677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-728)\/168)\/((-178932)\/558)?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/127183, 6 in descending order.\nAnswer: 6, 0.5, 3\/127183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3369\/4 - -842. What is the closest to 0.1 in 2\/9, 6.4, 2\/13, l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77552475.\nAnswer: 3, 5, 7, 11, 13, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(12)\/sqrt(324) - sqrt(3)).\nAnswer: 8*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 89 + 103 = 0. Suppose 3*v + 0*v = f. Calculate the remainder when v is divided by ((-1)\/(-2))\/((-4)\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 497226 and 1738?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 29 = -193. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -1\/24*q**4 - 283*q + 0 + q**2 + 1\/3*q**3. Determine p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -8. Let v be (h\/(-4))\/((-72)\/(-3)). Are -1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 o, and 1 a when four letters picked without replacement from aoooaeeooooo.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2059, -4115, -6193, -8293?\nAnswer: -10415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-2 + 2)*-6.\nAnswer: -12 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 278 = -2*m + 4*a, -737 = -5*m + 2*a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 310 * -0.0816.\nAnswer: -25.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:47 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 4 + -6 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 60a1c5?\nAnswer: 60a1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-nine fifths of a micrometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - 2*v. Let r(a) = -a - 8. Let n be r(-7). Let o be 30\/18 - n\/3. Calculate the remainder when 47 is divided by x(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -528, -586, -644?\n\"Answer: -58*n - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 187016364 divided by 657?\nAnswer: 284652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36642.\nAnswer: 2, 3, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1059*h**2. Let z(r) = 5*r. Determine z(w(g)).\nAnswer: 5295*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:09 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Let b be 24\/(-4) - -2 - 1. Let y be b\/15 - 3\/(-3). Sort y, -0.5, n in decreasing order.\nAnswer: n, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -48*z - 13*z**2 + 23*z**2 - 11*z**2 + 48*z. Let h(x) be the second derivative of -x**3 - x. What is h(r(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -a - 44. Suppose a*y = -15, -2*y - y + 1503 = 3*q. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 1510*r = 1495*r - 60, -o + 5*r = -0*r - 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) 0.4 (c) -1\/15 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*o + 2*o - 1814059 = 0, 3*o + 2721096 = -3*s. Let g = 107027 + s. Round g to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32\/27 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164922806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*m**3\/2 - 81138*m**2 + 598355847*m\/2 + 489781161 = 0. Calculate m.\nAnswer: -18\/11, 7377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87143.68 grams in micrograms?\nAnswer: 87143680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/298)\/((-5)\/20). Let f = -161\/894 - k. Suppose 0*s - 6 = -3*s. Put 6, f, s, -0.2 in decreasing order.\nAnswer: 6, s, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/17 greater than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.12702ug to milligrams.\nAnswer: 0.00612702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 17, 5 in increasing order.\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 4469*u**3 + 2*u + 4 + 8*u + 0*u**2 - 2.\nAnswer: 4469*u**3 + u**2 + 10*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11130012 + 3?\nAnswer: -11130003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 950544731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35751.68 kilograms in milligrams?\nAnswer: 35751680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*r + 24, 2*r + 2*r + 3*p - 7 = 0. Suppose 9*b = 11*b - r. Solve -b*s = 4 - 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34840 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.373563 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3.6. Let x = 0.0159 + -91.2159. Let t = 91 + x. Which is the nearest to t? (a) -2 (b) -3\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 6) in base 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 2*t**3 - 12*t**2 - t**3 + 16. Suppose 22 = 5*q - 33. What is the units digit of k(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 68 = 5*u, -4*z = 156*u + 22575 - 22047 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.9291 + -2.9291. Let b = -0.01 + -0.99. What is the nearest to p in b, 3\/2, -3, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d**2 + 242*d**2 + 291*d**2.\nAnswer: 490*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 636 and 8398168.\nAnswer: 25194504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 91*i**3 + i**2 + 225*i + 225. Give d(-1).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-7 - -9) - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76008 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 333 + 32440514?\nAnswer: 32441251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -386136764 from -24.877.\nAnswer: 386136739.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 826663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 19 - 48*i**2 + 8*i - 113 + 12 + 26*i**2. Let n(z) = 2*z**2 + 1. Let y(l) = -10*n(l) - t(l). What is the derivative of y(v) wrt v?\nAnswer: 4*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/((sqrt(4) + (sqrt(196) - sqrt(4) - sqrt(4)))*-1) + 2*sqrt(325)*-5)**2.\nAnswer: 1177813\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) - (-21)\/6. Suppose -u*f + 2100659 = -6379345. Let o be f\/2 + (-1)\/2. Round o to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 + -136?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2094325 is divided by 1300?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**(-3\/16))\/i*i))\/(((i\/(i*i*i*i**12))\/i)\/i*i))\/((i\/(i*i\/(((i**30\/i*i*i)\/i)\/i)))\/i**(5\/2)) assuming i is positive.\nAnswer: i**(-165\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 6*r + 2 - 8*r**2 - 6*r**3 - 2*r. Suppose 9*k = -4 - 59. Let h(y) = -5*y**3 - 7*y**2 - 6*y + 2. Calculate k*h(o) + 6*f(o).\nAnswer: -o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 53\/9)*(-1 + 7). Suppose 0 = 11*p - 3*p + 16. Sort p, g, 0.13, 1\/4.\nAnswer: p, 0.13, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 142595.\nAnswer: 1140760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*n**3 + 15*n**2*p**2 + 84*n*p**2 - 3*n wrt n?\nAnswer: -78*n + 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d - d)*(d**2 + 0*d**2 - 2*d**2) + 0*d**3 + d**3 + 4*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0206908 minus -1?\nAnswer: 1.0206908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwrcrcchccwc. Give prob of picking 1 c and 1 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 20*v**2 + 3*v - 43. Calculate c(20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1079162 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -1\/10, 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 844498*-7\nAnswer: -5911486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*q*y**2 - 1587*q*y - 7*q - 4*y**2 - y - 14088 wrt y?\nAnswer: 22*q*y - 1587*q - 8*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 11:46 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-84)\/8*12\/(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 106*r + 1663. What is q(-16)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 13*m**2 + 7*m - 2. Let o(w) = 28*w**2 + 12*w - 3. Determine -3*o(t) + 5*y(t).\nAnswer: -19*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.16 (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgkkgckkgggcgggmggkm. What is prob of sequence cgg?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90789.\nAnswer: 3, 53, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 5 + 31\/(-6))\/(112\/2912)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114573, 114851, 115129, 115407, 115685?\nAnswer: 115963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6*-1)\/(-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 100 = -7*v. What is the greatest common factor of v and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312616.3mm in nanometers?\nAnswer: 312616300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7463 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 1*(0 + sqrt(1573)) + -2*sqrt(1573) + -4 + sqrt(1573))*6 - 3*(-3 + -2*sqrt(1573)*-1))**2 + 4.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -10634?\nAnswer: 10630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351152 is divided by 175501?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:53 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 4)*(-6)\/2. Let o = -6 - p. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -235a6 - -4?\nAnswer: -235a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 24\/(-84) - (2 + 2692\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 175\/10*-45*36. What are the prime factors of 4\/(-14) - r\/98?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 7 - 3)*(-1 + 0 - 1)*(-4*a - a**2 + 4*a) + (2 + 8 - 3)*(-5*a**2 + 13 - 13) + 3*a**2 - 6*a**2 + 4*a**2 in the form z*a**2 + w + q*a and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:32 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 86 = -4*z, 6*z - 61 = j + 66. Let w(x) = -13*x + 3. Let g be w(-3). Determine q, given that -2*q**2 - z*q + g*q - 2 - 25*q = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 105 + 9*u**3 + 55.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.85561 and 14.862.\nAnswer: 21.71761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 15*n**2 - 64*n + 7. Let u = -619 + 627. Let k be o(u). Is -57 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18000?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39356, 39357, 39358, 39359, 39360, 39361?\n\"Answer: j + 39355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.453.\nAnswer: 0.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 329 - 257. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.383 times -705?\nAnswer: 270.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6807 - -47646\/7. What is the fourth smallest value in -1.4, -9, -3, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6*2 + 1)*-1. Suppose -3*r = 4*s - 5 - 2, 2*s = r + n. Let m be (-24)\/(-9) - 1\/r. Solve -5*v = -a + m, 2*a + 6 = 4*a - v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177005 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 36 = -5*z. Suppose -z = 5*t - 8*t. Solve -b + 3*b + t = -f, -4 = -f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {k: 8, c: 3, b: 7}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l. Let i(k) = -3*k**2 + 6*k + 6. Let s(v) = 7*v**2 - 13*v - 13. Let c(z) = 13*i(z) + 6*s(z). Determine w(c(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a (base 13) in base 2?\nAnswer: -1110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(150)*-1 + 2*5*sqrt(6))\/(-1*sqrt(242)*-5*-4).\nAnswer: -3*sqrt(3)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 9*t**2 + 7*t**2 + 2 - 2*t**2 as y*t**2 + g + c*t and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1136*r**5 + 10968*r - 10968*r - r**5 - r**2 + r**2 + 4*r**5 - 6*r**5 + 4*r**5 + (-3*r - r + 2*r)*(2*r**4 - r**2 + r**2) - 2*r**5 - 2*r**2 + 2*r**2.\nAnswer: 1131*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 24.4202057\nAnswer: 2.44202057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1321*k**4 + 15*k**3 - 7*k - 1322891?\nAnswer: -5284*k**3 + 45*k**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*o + 13 = 10, -2*h - o + 1 = 0. Put 3, 12, h, 5 in ascending order.\nAnswer: h, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -s + 2*x + 8, 2*x = -4. Suppose -5*q + s - 5 = 0. Which is bigger: 2\/87 or q?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1176+4\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 89981659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(1 + sqrt(300)).\nAnswer: 7 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373 + 0*l**2 + 93*l**4 + 165*l**6 - 18 + 2*l**2 - 92*l**4 wrt l?\nAnswer: 19800*l**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 5:17 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -3)*-3 + 3. Let t = y + -9. Solve 7*u - 3*u = -t*k - 19, -9 = -u + 2*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208767 is divided by 96?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 49?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(4\/6)\/(18\/27). Suppose -20 = -7*c + p*c. What is the highest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 678.67302 and 682.18?\nAnswer: 3.50698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 18. Suppose o - 2 - r = -v, -18 = 3*o - 3*v. Which is the closest to o? (a) -0.4 (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250641263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.1. Let l = 89 - 94.1. Let j = -8.1 - l. What is the third smallest value in x, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:34 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3))**(7\/6))**22 assuming r is positive.\nAnswer: r**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1665 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3807 divided by -7.\nAnswer: 3807\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 125 + 7*k**3 + 127 + k - k**2 to t + m*k**2 + i*k**3 + v*k and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 16*f - 11. Let h be p(1). Let u(g) = 3*g**3 + g**2 + 2*g - 4. Let l(i) = -7*i**3 - 2*i**2 - 5*i + 9. Calculate h*u(v) + 2*l(v).\nAnswer: v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.7 - -8. Let h be (1 - 1)*(-3)\/6. What is the third biggest value in -0.4, x, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.495 and -6373?\nAnswer: 6373.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18425230?\nAnswer: 2, 5, 1842523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.88*-1.39.\nAnswer: 6.7832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.3. Let y = 1.1 + -1.2. What is the second biggest value in y, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u - u + 4*u)*(1 + 2 - 2)*(539 + 33 + 1234) to z + s*u and give s.\nAnswer: -1806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4)*(-1 + 26\/6). Suppose 6*y - m*y = -7*y. Let r(w) = w - 17. What is r(y)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 5 - 1 + 5 + 65*l + 528*l to g*l + k and give g.\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/6 + 2*g + 21. Let w(z) = 2*z + 54. Give m(w(f)).\nAnswer: 8*f**2 + 432*f + 5832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -3517, -0.1, -2\/3 in descending order.\nAnswer: 2\/3, -0.1, -2\/3, -3517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -374 divided by -20?\nAnswer: 187\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/((-5220)\/(-58)))\/((-53)\/2).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - o - 1. Let z(t) be the third derivative of t**5\/30 + t**4\/6 + t**3 - 304*t**2. Calculate -3*d(c) - z(c).\nAnswer: c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111100 (base 3) in base 9?\nAnswer: -31440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -322 - -325. What is the greatest common divisor of b and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-1)\/(-3) + (-2)\/(-3). Let l be ((-5)\/(-4) + (-2)\/8)*k. What is the second biggest value in l, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*u = -9, 3*u = 3*a - 3 - 24. Suppose 130 = -a*o + 9*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = -3. Suppose -2 = 2*w - 3*w. Factor -q*j**3 + 4*j**3 - j**w + 0*j**2.\nAnswer: j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = -25*v. Let r(f) be the second derivative of v + 1\/100*f**5 + 1\/60*f**4 + 0*f**2 - 9*f + 0*f**3. Factor r(t).\nAnswer: t**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/9*(54\/(-84))\/((-24)\/1512).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Let l = p + -1. Let x = 17 - 16.9. Which is the smallest value? (a) x (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p + 2 = 28*p. Is (p - 2)\/3 - -233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 13 + 1 = 0. Let o be t + (2 - -31)*-22. Let z = 1070 + o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30777819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858316255.\nAnswer: 5, 12653, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from yyhyyshss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddddqdddqddd. What is prob of picking 2 q?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)*j)**(5\/4))**(-23)*((j**(1\/3))**(-9))**(-5) assuming j is positive.\nAnswer: j**(405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27902?\nAnswer: 2, 7, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1\/611, -1\/4?\nAnswer: 1\/611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 335 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) 1.02 (c) -2 (d) 2\/595\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 120061.\nAnswer: 360183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -w + 3*j, 3*w + 3*j = 6*w - 24. Suppose w*s = -6 + 10. Which is smaller: -2\/51 or s?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54629 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 15*u**5 - 852*u**4 + 5781*u**3 + 192696*u**2 = 0.\nAnswer: -56\/5, 0, 31, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10835.\nAnswer: 5, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 126 = -434. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 0*o = -21. Calculate the common denominator of o - -273*28\/(-2208) and 1\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 13*k**2 + 5*k + 5. Let n(c) = 4*c**3 + 53*c**2 + 22*c + 19. Let l(h) = 2*n(h) - 9*r(h). What is l(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*f*m**4 - 4*f*m**3 + f*m**2 - 5211*f*m - f + 69*m**4 + m**3 - 3*m**2 wrt m.\nAnswer: -312*f*m - 24*f + 1656*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**4 + 7730*t**3 + 756145*t**2 + 18745480*t - 19509360 = 0. What is t?\nAnswer: -1443, -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5334289 is divided by 5927.\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6*q + 11589. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-7)\/49*(-2 - (-88)\/45).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**2 - 16*y - 186. Give x(3).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1000010110001010 (base 2) to base 3\nAnswer: -1201220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-3)\/12)*10. Suppose 5*s - j = -0*s. Let y = s - 3. Solve 0 = 2*w + 4, -2*w - 20 = y*t + 3*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -0.3, -3, 11706\/11, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 6579739.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145.76021 + 146.05. What is n rounded to three dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3127\/3 + 34553\/33. Is 5 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:37 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549, 522, 495, 468, 441?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -38622.50655 to the nearest 10.\nAnswer: -38620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19750, 19703, 19622, 19507, 19358?\nAnswer: 19175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 + 97 = -52*d. Let w(q) = -2*q**2 - 2*q + 1. Let l be w(-2). What is the nearest to -0.03 in 0, l, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 90*o**2 + 366*o + 12. Determine m(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is 11209812 to the power of 1\/2, to the nearest integer?\nAnswer: 3348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(1\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 2*x**2 + 2*x + 2. Let u(p) = p**3 - 3*p**2 + 3*p + 3. Suppose -m - 3*z - 2*z = 4, -5*z + 20 = 5*m. Give m*r(y) - 4*u(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 185 - 195 = -4*t, 5*t = -2*c - 13. Let b be 10\/6 - (-6)\/(-9). Let o = 1 + b. Put t, o, 4 in descending order.\nAnswer: 4, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*b + 2*b. Let s(d) = -2*d**3 - 2*d - 26. Let o be s(b). Is -27 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 2. Let y be p(11). Let o be (8\/y)\/((-2)\/(-10)). Suppose -9 = -k - o*k + v, -19 = -5*k + 3*v. Solve 2 + 2 = k*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*y**2\/3 - 2428*y + 7312\/3.\nAnswer: -4*(y - 1)*(7*y + 1828)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/35 + (-103796)\/35. What are the prime factors of (-220)\/(-66)*t\/(-10)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 592\/(-7) - (-52)\/91. Let c be (-1)\/(-4) + k\/16. Put -3, c, 1 in descending order.\nAnswer: 1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/82) - (-33)\/(2541\/55)*7\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w - 4. Let l(b) = -9*b + 4. Let m(o) = 3*l(o) + 2*y(o). Let f be m(1). What is the units digit of 52\/1*(-8 + 5)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50130 + 3?\nAnswer: 50133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -210 + -17541?\nAnswer: -17751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(44)\/sqrt(64).\nAnswer: sqrt(11)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*t - 3*t. Let j be ((-9)\/(-2))\/(t\/2). Let d(i) = -i**2 + 11*i - 17. Let n be d(j). Which is the smallest value? (a) 4 (b) -2\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and ((-52)\/12 + 5)*42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668244258555 - 668244258555 - 4*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a + 33. Let u be o(11). Let p(j) = j**3 - 1. Give p(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*g = 4, -o - 5*g = -3*g - 6. Suppose o*v - 20 = -0*v. Suppose -v = -m - 2. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.79142 grams to micrograms.\nAnswer: 1791420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 4*n + 3. Let w be k(4). Let l be (2 + -4)\/(-8) + (-794)\/8. Let p = l + 694\/7. Put 4, w, p in increasing order.\nAnswer: p, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 556389600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waw when three letters picked without replacement from awwwcwwcciwiaaww?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 10:25 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16235 (base 8) to base 15\nAnswer: 2285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95982)\/1882 - 514\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, e: 7, p: 2, k: 1, m: 2}. What is prob of sequence pk?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.175 to zero dps.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.4 + 1.6. Let p = 11.9999369 - k. Round p to 6 dps.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 - 3 = 0. Let i = -7 - -36. Calculate the lowest common multiple of n and i.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, 0.5, -4, 6\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -367*d - 369. Let y be o(-1). Put 4, 1, y, 2, 3 in decreasing order.\nAnswer: 4, 3, 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5775491, -5775476, -5775461, -5775446?\n\"Answer: 15*d - 5775506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 22 = -4*s, 0 = -2*n - 4*s + 44 - 8. Suppose -w + 22 = 2*w - 2*j, -j = -4*w + 31. Calculate the lowest common multiple of n and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, r: 2, k: 4}. Give prob of sequence kx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 10:06 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.45 less than -11961?\nAnswer: -11962.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/443 > -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (62\/4 + -1)\/(7\/448)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 57. Suppose -262 = 12*m - c*m. Is m a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -1\/4, -31, 5, -3\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/119661265 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*j = -317*j + 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1045 - -1047. Which is the nearest to 0.2? (a) s (b) -0.06 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 409*o - 835*o + 14 + 4*o**2 + 418*o. Calculate s(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -33 - 58*p**2 - 6762*p + 2*p**3 + 13593*p - 6774*p + 2 + 0*p**3. Give w(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 16*j - 19. Let l be a(17). Put 5, l, -3 in decreasing order.\nAnswer: 5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:38 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r**3\/3 + 28*r**2 - 1120*r\/3 - 396 = 0. Calculate r.\nAnswer: -11, -1, 27\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 97*l**2 - 69*l**2 - 30*l**2. Let j(n) = -51*n**2. Determine u(j(f)).\nAnswer: -5202*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3\/653, -1\/11, -64?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*k - 135, 78 - 25 = 2*m - 3*k. What is the remainder when 108 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -4c?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let x(s) be the second derivative of -5*s**4\/6 + 16*s**2 + s - 89. Calculate x(k(l)).\nAnswer: -10*l**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-24)*-72*-5*(-3)\/(-18).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12246635.\nAnswer: 5, 2449327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 1\/4 + 0*f**2 + 1\/8*f**3 - 3\/8*f = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/((x\/(x\/(x\/(x\/(x*x**4)))))\/x*x)))\/x)\/x)\/((x\/(x\/((x*x*x**(-18))\/x))*x)\/x) assuming x is positive.\nAnswer: x**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 428935 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162553 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 6 - 17 + 20*t**2.\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318881 + 20778*y - 318881.\nAnswer: 20778*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:23 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3443613*f**2 + 3*f + 118263?\nAnswer: 6887226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 24. Let y = o + -8. Suppose 0 = a + 3*v - y - 29, -4*v = -12. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-1) - 36\/(-6). Solve 5*d + s*y = 20, 3*d + 4*y = -y + 28 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 116.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-2970)\/2508)\/45)\/(((-4)\/8*-2)\/(-4))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**4\/12 - 3*x**3\/2 + 5*x**2 + 167*x. What is j(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 15*h**2 - 10*h + 48. Let m be g(-14). Let c be 3 + m - (-3 + 2). Sort 3, 14, c in ascending order.\nAnswer: c, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219.3*-2.\nAnswer: -438.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1.7 (b) 0 (c) -2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12505, 24626, 36747, 48868, 60989, 73110?\n\"Answer: 12121*y + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -u + 14. Suppose u*p - 5*o - 405 = 3*p, 0 = 3*p - 2*o - 414. What is the highest common divisor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220.4 + -221.957. Let b = z + 1.11. Round b to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29872 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 432941, 865884, 1298827, 1731770, 2164713?\n\"Answer: 432943*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1949739)\/(-77) + (0 - (-8)\/(-28)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (41 + 6 + (-13 - (-3 + 2)))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -14, 29, 112, 247?\n\"Answer: 2*a**3 + 2*a**2 - 5*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 81631642 and -3.4.\nAnswer: 81631638.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 27 = -23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.9 + -24. Let f = z + -0.4. Sort 0.2, -4, f in decreasing order.\nAnswer: f, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 8:33 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from agsxpaj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9075 - 2222 - 2220 + 11*d**3 - 2411 - 2222.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/47226 and -111\/64090.\nAnswer: 89021010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 2. Let r be a(5). Let o(j) = -208*j - 664. Let y(q) = 11*q + 35. Let f(n) = 3*o(n) + 56*y(n). What is the lowest common multiple of f(r) and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqvb when four letters picked without replacement from {q: 3, f: 3, p: 1, v: 1, b: 6}.\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/i**(-1\/5)*i)*i**(-5))**46 assuming i is positive.\nAnswer: i**(-1196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*x + 128*x = -145. Let z be (-2)\/(-8) + 919\/4. Let p = x + z. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366461159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2273*c*q - 1951*c*v + c + 2*q*v wrt v?\nAnswer: -1951*c + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - 10) + (-6)\/(-30). Which is the nearest to w? (a) -0.4 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/20487 and -87\/4?\nAnswer: 81948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*b = 11 + 6, m + 3*b = -9. Suppose 0 = -17*n + 11*n + 14568. Suppose -s = -3*y + n, -m*s = -5*y - s + 4047. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.044 + -0.144. What is the closest to 1\/4 in 6, 2\/7, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 467. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 - 3*f**2 + 939*f + 4. Let p(k) = -4*k**3 - 4*k**2 + 939*k + 5. Calculate 5*p(d) - 6*v(d).\nAnswer: -2*d**3 - 2*d**2 - 939*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 271748 plus -7.06648?\nAnswer: 271740.93352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24342\/151 smaller than 162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*k - 3*k**3 + 3*k**4 + 95*k + k**2 as r*k**4 + s + g*k + o*k**3 + v*k**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*r = -548, -2*r = -3*j - 2*j + 684. Suppose i = 5*g + 2*i - 82, 0 = -2*i - 6. Calculate the greatest common factor of j and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**3 - 2416*u**2 - 486160*u - 32590848 = 0.\nAnswer: -206, -192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/20*(-32)\/(-24)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (-11 - (-17 + 13))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:57 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10598 and 2072.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 7.6. Which is the closest to 1? (a) 0 (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 4*l**2 + 140*l + 4. Let o be w(-14). Sort 6, 12, -6, o in ascending order.\nAnswer: -6, o, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.2 + -10. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 62 + 8*k - 7*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-36) - (-2170)\/45. Suppose -2*q + z = 2*o - 4*q, -4*q - 16 = 0. What is the third derivative of 21 - 22*u**2 - 21 - o*u**5 wrt u?\nAnswer: -1200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45199882 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.018 - -30.982. Let j = -92 - h. Let i = -123.063 - j. Round i to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3187878990 rounded to the nearest 100000?\nAnswer: -3187900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 15 + 27. Suppose 7*k + 41 - t = 0. Let u(b) = 10*b**3 - 6*b**2 - 6*b - 7. Let s(r) = -9*r**3 + 5*r**2 + 5*r + 6. Calculate k*u(g) - 6*s(g).\nAnswer: 4*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (120 - 12*w**3 - 120)*(2 - 3 + 2) + (2*w - 2*w - w)*(-w**2 + 0*w + 0*w) in the form q + k*w**2 + y*w + p*w**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 3:27 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 10 + 11 + 7 + 4813*c.\nAnswer: 4813*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6238.\nAnswer: 2, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 - 5*o\/3.\nAnswer: o*(o - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -4 (c) 0 (d) -41577\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**7\/42 + 5*x**4\/24 + 6*x**2. Find the second derivative of h(q) wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866160765 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2973 + 376*g - 1485 - 1488 to h + m*g and give m.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3739330*o*t*w + 2*o*t + 2*o + 292*t + 1217 wrt w.\nAnswer: -3739330*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -82, -211, -424, -751, -1222?\n\"Answer: -5*x**3 + 3*x**2 - 49*x + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5 + 5991*u**4 + 17946*u**3 - 12*u**2 - 23928*u = 0 for u.\nAnswer: -1994, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14659596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 4*k - 2. Let i be ((-84)\/(-15))\/((-1)\/(-5)). Suppose o + 1 = 2*n + 14, 2*n - 4*o + i = 0. Does 5 divide m(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -44. Suppose d = -5*p + 15. Solve 0 = -p*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*i + 6*i + 464 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.52 to 0 decimal places.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + ((sqrt(5) + 1 + -5)*5 - 6*(1*sqrt(125))**2)).\nAnswer: -5*sqrt(5) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 50*u**2 + 361*u - 6680. What is the remainder when v(17) is divided by 214?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 692040 by 1460.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + a. Suppose 2*c - 5*c - 39 = a. Let d(g) = g**2 + 11*g + 17. List the prime factors of d(c).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by -432.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14515 (base 13) in base 14?\nAnswer: -dcd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-5429\nAnswer: -2171.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 6 + -6 - (-23 - -49)) + -4\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 0.7928916358?\nAnswer: 3.2071083642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002727623083 to six dps.\nAnswer: 0.002728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/5)*n**(-2\/9) assuming n is positive.\nAnswer: n**(17\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 0.02. Let k = -0.01 + g. Let l = k - 0.0552. Round l to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76462861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 1. Let k(q) = -2*q**2 - 3. Let n(i) = i**3 + 10*i**2 - 10*i + 10. Let t be n(-11). Determine t*k(c) - 3*m(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -9 (c) 0.4 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9473, -18943, -28411, -37877, -47341?\nAnswer: -56803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(102)\/(sqrt(12)\/sqrt(2)) - sqrt(17))*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 283730 - 3688480\/13. Suppose -48\/13 - c*k + 2\/13*k**2 = 0. Calculate k.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 155 = -5*i. Let g = i + -19. Let a(t) = t**2 - 12*t + 3. Let z be a(g). Solve z*x - 12 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5106 and 130?\nAnswer: 331890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/132910 and -16\/66455.\nAnswer: 132910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 101486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74361, 148719, 223077, 297435, 371793, 446151?\nAnswer: 520509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 42 + -9 - 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(-1\/6)*f)\/f*f**(-8)*f)**(5\/9))**(1\/57) assuming f is positive.\nAnswer: f**(-185\/3078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 954463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i - 4. Let p(g) be the third derivative of 7*g**4\/24 + 7*g**3\/6 + 36*g**2 + 2. Give 5*l(j) + 2*p(j).\nAnswer: -j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**3 - 2*u**2 - 4. Give l(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 150188666 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12.965741*0.2\nAnswer: 2.5931482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-14)\/(-18)*663\/(-68) and 23\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -1 + 3\/(-1). Let r be ((-5 - t) + 4)*13. Solve 0 = -5*m - 3 + r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112020, -223918, -335816, -447714, -559612, -671510?\nAnswer: -783408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*p + 2323*p = -1770*p + 130248 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68765677.\nAnswer: 68765677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 30*s - 29*s + 470, -2*s + 282 = 3*g. Is 474\/5 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 16*l**2 - 11*l + 11. Let q = 29 - 7. Let a(d) = -3*d**2 + 2*d - 2. Let y(z) = q*a(z) + 4*u(z). Let s(p) = -6*p - 4*p + 9*p. Calculate s(y(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 20*s - 16*s - 5, 2*g - 4*s + 10 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + m + 74266 - 74266.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-2 + 4 + -1 - 6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*b = -595*b - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 47 = -b, -28*k + 29*k = 3*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 - 467 = 82*f + 336. Let j = 18 + -12. Suppose j = o + 1. Put f, o, -2 in descending order.\nAnswer: o, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -45. Suppose 3*l + 3 = -3*s, 0 = -3*l - 7 - 5. Suppose -s*h = 2*d + h - p, d - h - 1 = 0. What is the nearest to -1 in 2, 4, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 (base 7) in base 13?\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -105*w**3 - w**2. Let i be o(-1). Let s be (i\/39)\/(2\/(-12)). What is the tens digit of -4*2*122\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**5 - 330*k**4 + 3365*k**3 + 22680*k**2 + 39380*k + 20400 = 0?\nAnswer: -2, -1, 20, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6*h + 10*h = -2, 4*m + h - 6 = 0. Suppose 2*w + 34 = 4*w + c, -2*w - 4*c + 28 = 0. Let x be 3 + (w\/(-2))\/3. Put -3, m, x in descending order.\nAnswer: m, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 5*r + 8. Let f be v(8). Suppose 0*x + 165 = -5*x. Let l be ((-22)\/x)\/((-2)\/(-42)). Calculate the greatest common factor of f and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4510 + 4524 = x, 10 = 5*x + 2*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4. Let z = x + 7. Solve -v + z = -3*l, 4*l = -v - v + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:13 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.732904 to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735436 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-d - 2 + 2) - 127*d + 233*d - 2 - 118*d)*((-4 + 4 + 2)*(-8*d**3 + 6 - 6) + d**3 - d**3 - d**3).\nAnswer: 238*d**4 + 34*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2897*n + 2888*n = 216 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -4384.\nAnswer: -4386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 5*p**4\/12 + 235*p**3\/6 + 115*p**2 + 58*p. Solve o(f) = 0.\nAnswer: -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -125849561.\nAnswer: -4\/125849561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*s - 246*s = 4*x - 34, 4*x + 2*s - 24 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453 + 8321*u - 453.\nAnswer: 8321*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uktkktztzzttt. What is prob of sequence zkk?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -277695 divided by -2?\nAnswer: 277695\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -13*d + 2. What is the units digit of f(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 276, 1, 4.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002446968 rounded to seven decimal places?\nAnswer: -0.0002447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 6*s**2 + 6*s. Let c be b(4). Let f = -9 - c. Calculate the common denominator of 87\/22 and 0 + (f - 126\/(-40)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 + 11*u**2 - 39*u + 8. Let v be r(-8). Suppose g - 2*i - 28 = v, g - 116 = -3*g + 4*i. Is 30 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626187281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than -1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -11 - (-3 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(468) + (1 + sqrt(468))*6 + -5 + 3.\nAnswer: 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9981 divided by 2\nAnswer: -9981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 873800 a multiple of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -14350?\nAnswer: -14353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 2*r - 2*r + (-3 - 1 + 6)*(2 - 2 - 2*r))*(83 - 3*r - 41 - 43)*(-5*r + 2*r + 2*r) to k*r**3 + w + n*r**2 + h*r and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/7049 and 79\/10070.\nAnswer: 70490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:18 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 112, 154, 188, 214, 232, 242?\n\"Answer: -4*x**2 + 62*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2396030595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 - s**2 + 4*s**2 - 2*s**2 - s**2 - s**2 + 9 - 9 - s**2 + s**2 + 0*s + 0*s + (-s + 4*s - 4*s)*(-s - 1 + 1) + 0*s**2 + s**2 - 4*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/110 + (-832)\/(-22). Let x = n + -37. Calculate the lowest common multiple of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8797143662 minus 0.3?\nAnswer: -8797143662.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 5*d**2 - d - 1. Let y be m(-5). Suppose u - y*k = -0*u + 15, -3 = -2*u - k. Suppose u*s + 78 = 2*c, -79 = -3*c + s - 6*s. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 537426 and 1530069.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (181\/724)\/((-124)\/32)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 43*w**5\/60 + w**2. Let g(a) be the first derivative of 55 + 0*a**2 + 0*a + 1\/3*a**3. What is g(u(c))?\nAnswer: 1849*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 51295 + -58824?\nAnswer: -7529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1411 is divided by 175?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k - 8 - 14 + 25)*(1 - 1 - 3) as j + a*k and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -5.05. Let l = 0.002828 + 4.126072. Let p = l - o. What is p rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 46. Let j be p(-8). Let v be (249 - -1)*(j\/12 + -4). Let s = v - -2440. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/33 (b) 2\/7 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 0 - (4 + -10) - 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((64 - -3) + 1). Let f = x + 132. Suppose 4*u + 3*n - f = 0, -2*u = -4*n - 5 + 1. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 + 14*k**2 - 13*k + 34. Determine n(3).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -1\/30*d**5 + 32\/35*d**7 + 0*d + d**2 - 79 + 1\/60*d**6 + 0*d**4 - 19\/6*d**3. What is the third derivative of v(x) wrt x?\nAnswer: 4608*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 - 63*n**2 - 401*n - 12. What is f(-5)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from {b: 7, u: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(504)*-2)\/sqrt(9) + (sqrt(560) - ((sqrt(560) - 1*sqrt(560)) + sqrt(560) - sqrt(560)))\/sqrt(10))*4)\/(2*sqrt(64)\/(sqrt(32)*-3 - sqrt(8))).\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 7*v + 8. Let p be l(-7). What is the greatest common factor of 62 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 10*a + 11. Let v be b(8). Let k be (-22)\/v - 24\/(-40). Suppose z + 2*y + 22 = 3*z, -y = -k. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*t*v**3 + 15*t*v**2 + 1199*t*v + 3*t - 2*v**3 - 2*v**2 + 2*v - 2 wrt v.\nAnswer: -600*t*v + 30*t - 12*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 512, -5, 182 in decreasing order.\nAnswer: 512, 182, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050621 rounded to three decimal places?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21984370 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:48 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwcw when four letters picked without replacement from eccecwcwc.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2. Let q(s) be the first derivative of 415*s**2\/2 + 238. Give q(h(r)).\nAnswer: 2075*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1523 * -2.331\nAnswer: -3550.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (19 + 0 + -6 - (6 + -123))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6988 less than 0.87?\nAnswer: -2.8288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*m - 34*m - 230. Suppose 5*k - 379 = 4*g - m, -4*k - 371 = 5*g. Let j = g - -76. Solve j = -4*l + 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.2, -0.2, 3758?\nAnswer: 3758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 15 - 27)*(5*b + 5*b - 4*b) + (-3 - 3 + 4)*(0*b - 4*b + 2*b).\nAnswer: 118*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 70*u + 1514. What is b(-22)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 + 2*k**2 + 4*k - 9. Let g be x(4). Calculate the highest common divisor of 21 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 22\/3 (b) 8\/5 (c) 0.04 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11102912 to the nearest integer?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-27)*3*(-6)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3724, 14952, 33652, 59812, 93420?\n\"Answer: -2*r**3 + 3748*r**2 - 2*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 6*o**2 - 5*o + 2. Give x(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 846 + -5.9\nAnswer: 840.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -161*z - 957. Let c(f) = 12*f**2 + 2*f - 1. What is the remainder when c(-2) is divided by w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-690*z - 202*z + 1706*z).\nAnswer: -814*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -23*u - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 10 + 2)*(659 + 89*g**3 - 659) to p*g**3 + q + s*g**2 + r*g and give p.\nAnswer: 979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8562804 litres?\nAnswer: 856.2804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 4*u + 22372 = -7*u. Which is greater: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2 - 0) + -4 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18082*n**3 + 2*n**2 + 4*n + 2389730 with respect to n.\nAnswer: 54246*n**2 + 4*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18064*o**2*t - 106*o**2 - 74 with respect to t.\nAnswer: -18064*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.9. Suppose -7 = -4*u - 3*g, -4*g = 4*u + 6 - 10. Let w be 2\/(-6) - (-2)\/6. Put u, o, w in decreasing order.\nAnswer: u, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/464 and -17\/794542?\nAnswer: 6356336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-144)*(-10)\/3.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -21*s + 0*s + s - 2*s**2 = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = h - 19. Is h greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*w + 11*w + 12*w - 63. Let d(a) = 2*a**3 + 13*a**2 - 3*a + 9. Give d(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 15*h - 8. Let t(j) = j**3 - j**2 + j + 2. Let a be t(2). Let g be o(a). Solve g*c = 2*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8094 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(539))*2)**2.\nAnswer: -112*sqrt(11) + 2172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 + 9*t**2 + 3*t. Let j(y) = -16*y**3 - 46*y**2 - 14*y - 1. Let u(a) = 2*j(a) + 11*n(a). Let g(f) = f. Let v be g(-5). Is u(v) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 6:22 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - o + 32 = 31, 4*o - 20 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + f - 2*f)*(-17 + 28*f + 17) + f**2 - 3*f**2 + 0*f**2 in the form h*f + b*f**2 + w and give b.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41591248 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1710 + 5 - 1 - -5. What is the highest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m - 4*v + 22, 2*v - 16 = -4*m. Let u(o) = o + 2 - o**m - 5 + 4. Let i(w) = 2*w - 2*w - 3 + 6*w**2 - 3*w. Give -i(g) - 4*u(g).\nAnswer: -2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 76c62a?\nAnswer: -76c629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*x - 235, 2433*x - 2432*x - 101 = 4*r. Calculate the smallest common multiple of x and 510.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**3\/5 + 167304*s**2\/5 - 1537668*s + 6851920 = 0?\nAnswer: 5, 41, 41780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/300 and -67\/63?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 + 26 + 17547*v - 35092*v + 2*v**2 + 17545*v in the form m*v**2 + d*v + k and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5 + 6 + 7 + 7 + 11*j**4 wrt j?\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1136384, 2272756, 3409128, 4545500?\n\"Answer: 1136372*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1676\/877?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -29*j**2 - 378*j + 853. Determine c(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 3*p**2 + 2001*p - 6005. Calculate r(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*x - 1406 = 706 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = 16. Let j be 91\/(-26)*2\/m. Let d be j\/3 + (-144)\/(-54). Which is the second smallest value? (a) d (b) 4 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1012197\/7 + 144335. Let z = n + 265. Factor z*b + 0 + 3\/7*b**2 - 3\/7*b**3 - 3\/7*b**4.\nAnswer: -3*b*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 4621188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 2*c**3 + c - 2*c + 3*c. Let z be b(-2). Let t(u) = u**3 - 5*u**2 + 4*u. What is t(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222 - 2*g + g**2 + 222 + g**3 - g**4 to the form q*g**4 + r*g**3 + c + d*g**2 + f*g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 2*b**2 - b - 2. Determine a(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 3, -58, -143, -252, -385, -542?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/3893136 and -74\/186069?\nAnswer: 50610768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -2\/17, 1\/3, -321?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 129937017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 1730535*m + 17304850.\nAnswer: 5*(m + 10)*(m + 346097)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 22) + 12 + -9 - -63?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(-6 + 50\/8). Find the third derivative of 14*m**2 + 54*m**v + 12*m**2 + 19*m**2 - 20*m**2 - 39*m**3 wrt m.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 2*f + f + f. Let g(a) = a**2 + 2*a. Determine g(r) - 4*u(r).\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (6 - 39 - (-62 - -59))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**3*n**2 + 384*h**3*n + 11*h**2*n + 394*h*n + 2*n**2 wrt h.\nAnswer: -36*n**2 + 2304*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152 or -148?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 34576*c - 34596*c - 100, 2*j + 19 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 2\/3, -195.3, -6\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -19\/2*v**2 + 0*v + 103. Let d(s) = -8*s**2. Determine y(d(h)).\nAnswer: 152*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181 + -108. Let o = q + -46. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skb when three letters picked without replacement from {d: 6, s: 1, k: 1, b: 3, o: 3}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78108?\nAnswer: 2, 3, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/350)\/((9\/(-12))\/(460\/16))?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, -7, -2.5, -0.3, -24\/11?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*u - 10 - 7 = 0, -n + 2*u = 5. Let k(m) be the second derivative of 0*m**n + 0 + 8*m + 5\/12*m**4 + 0*m**2. Let p(x) = x**2. Determine k(p(c)).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*u + 49*u + 48. Solve -14 = 2*r + u*t, 3*r = -0*r + 5*t + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/36*-3*-57. Let m = 24 - p. Suppose k + 56 = m*k. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 59?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14\/5 - 121\/45. Let s be ((-42)\/6 + 5)*3\/21. What is the closest to b in s, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 5, -5, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -180?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(50)*-6)**2 - sqrt(12)\/((sqrt(6) + (sqrt(96) - sqrt(6)) + sqrt(6))*1).\nAnswer: -sqrt(2)\/5 + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 - 5*o**2 + 2*o**2 - o**2 + 4*o**2 - 2*o**2 + (-o + 3*o - o)*(5*o - 3*o - o))*(0 - o**2 + 0) to r*o**4 + z*o**2 + g + a*o + s*o**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*c - 21*c - 1223 + 143 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -97*c + 117. Let u(z) = -34*z + 39. Let b(j) = -6*m(j) + 17*u(j). Is b(26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/7 + 69*o**2\/7 - 264*o\/7 + 260\/7.\nAnswer: -(o - 65)*(o - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(143)\/(-1*sqrt(275)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/7, -18, 0, 114\/17.\nAnswer: -18, 0, 4\/7, 5, 114\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -481, -1017, -1611, -2269, -2997, -3801?\n\"Answer: -u**3 - 23*u**2 - 460*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 32*c**2 + 30*c - 27. Let x be p(-31). Find the third derivative of -3 + 70*u**x + 7*u**2 - 9*u**2 - 16*u**4 - 1 wrt u.\nAnswer: 1296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 + 2*x**3 - 31*x**3 + (-3*x**2 + 3*x**2 + 2*x**2)*(0 + 2*x + 0) + 4*x**3 + x**3 - 2*x**2 + 0*x**2.\nAnswer: -17*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -364 times 5\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 75\/65 + 0 - (0 - -1)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 275, 289 in decreasing order.\nAnswer: 289, 275, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 - 3 = 2*y, -4*q + 5 = 3*y. Suppose -51 = -q*l + 54. What is the units digit of (-6)\/(-9)*1*l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, s: 6, y: 4, g: 4, f: 3}. What is prob of sequence fs?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - -79?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103.34234 rounded to the nearest integer?\nAnswer: -2103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 57. What is f(14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65\/10 + 5 + 2\/4 and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026179 to six decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 525932184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i + 148. Calculate b(14).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 + 275\/15)\/(4 - 5) and -67\/600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Suppose m*x + 1 - 5 = 0. Calculate the least common multiple of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2 - 8*f + 3. Let b be m(3). Let x be b\/8 - (-102)\/(-72). What is the nearest to -2\/7 in x, 4, -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Suppose 1 = -i*z + 5*l, 0 = -4*z - l + 6*l + 2. Solve -15 = -0*t + z*t + x, x + 3 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -p - 7. Let r be (4\/3)\/(-8 + p). Which is the nearest to 0.1? (a) 2\/11 (b) r (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -409 - -5?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167 - 497\/3. Let y(w) = w**2 - 4*w + 4. Let x be y(3). Which is smaller: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23648 and 530416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*a**3 - 4*a**3 - 2*a**2 - 2*a**4 - 276 - 30*a**3 + 0*a**2 to the form f*a + m*a**2 + o*a**4 + u*a**3 + c and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/108*-9*(-42)\/((-7)\/1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2122648.\nAnswer: 2, 11, 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 166\/3812*(-1232)\/429. Let a = i - 3\/953. Let v = 1\/39 - a. What is the second smallest value in 1, 1\/3, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 2*m**2 + 9 - m**2. Let z(q) = q**3 - 12*q**2 - q + 10. Let t be z(12). Suppose -35 = -5*n + 10. Let o(w) = w**2 + 2. Give n*o(a) + t*y(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140051 + -100?\nAnswer: 135551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22*((-9)\/(-2))\/((-990)\/(-880))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 11, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 461*p**2 + 30*p - 96. Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/864 and -111\/532.\nAnswer: 114912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/10)\/(4*21\/70)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0, -1196, -6 in increasing order.\nAnswer: -1196, -6, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -590365, -1180884, -1771403, -2361922, -2952441, -3542960?\n\"Answer: -590519*c + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750 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 j(b) = 21*b**3 + 123*b**2 + 102*b + 18. Let k(h) = 126*h**3 + 740*h**2 + 610*h + 107. Let r(m) = 37*j(m) - 6*k(m). Factor r(o).\nAnswer: 3*(o + 1)*(o + 4)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, m: 2}. What is prob of picking 1 m and 3 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 1876096?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/(-2))\/(7\/14). Let x = 13 - z. Let d = x + 4. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p**2 + p**2 - 3*p**2)*(2*p + 0*p + 0*p) - 3*p**3 + p**2 - p**2)*(4 + 5*p**2 - 4 + (12*p - 3*p + 3*p)*(-4*p - 5 + 5)).\nAnswer: 43*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 359475 + 703046.\nAnswer: 1062521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 646932 divided by -638.\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*c - 8 = 0, -v - 5*c - 10 = v. Suppose -4*n + 1 + 435 = v. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/372 and 73\/172?\nAnswer: 15996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86707 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 40. Let y = -148 - -151. Suppose -c + w = 4*m, c = 2*m + y*c - 2. Solve -m*n - 3*t = 7, 3*n - 3*t + 5*t = -4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*f + 14*f = 5505 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20440)\/(-144) - 3)*-1*3. Let x = 416 + t. Which is the second biggest value? (a) -8 (b) -0.19 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 35353.\nAnswer: -5\/35353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12855?\nAnswer: 3, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29609 less than -1?\nAnswer: -29610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 15*c**2 - 14*c - 29. Let h be k(16). Solve 0*f = 3*f - h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 2*d**2 - 6*d - 7. Let t be i(5). Let g = t - 10. Let c = g - 24. Solve -c*l - 2 = -14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2374*u**3 - 142*u + 13202. Let i(t) = -593*t**3 - 37*t + 3300. Let d(f) = 23*i(f) - 6*l(f). Differentiate d(v) with respect to v.\nAnswer: 1815*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2. Let d(b) = b + 4*b**2 + 16 + 3*b - 20 - 5*b**2. Let v(k) = 10*k**2 - 35*k + 35. Let o(r) = -35*d(r) - 4*v(r). Calculate o(j(y)).\nAnswer: -80*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 2*g + g)*(5*g + g - 4*g)*(-4*g - 142 + 142) to the form z + o*g + a*g**3 + l*g**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1 - (-25 + 35 + -19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 1, 2\/79, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1794573, -7178279, -16151121, -28713099?\n\"Answer: -1794568*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-472)\/(-14) - (-4)\/14. Find the first derivative of -37 - 5*s**3 + s**3 + t wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/4 + 7401*r**2\/4 + 210309*r + 413215 = 0.\nAnswer: -110, -2, 7513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (3 - (6 + -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000018234546 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n\/(n**(-5)\/n)*n)*n)*n*n)\/(n\/(n\/((n*n*n*n**(-10)\/n)\/n*n*n*n)))*n**(-4)\/n*n**(2\/9) assuming n is positive.\nAnswer: n**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33175.\nAnswer: 5, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12372859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31094784 is divided by 764.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 3*j**2 - 3*j - 5. Let h(o) = -4*o**3 + 10*o**2 - 10*o - 16. Let p(v) = 3*h(v) - 10*q(v). Let r(t) = -t + 4. Let u be r(6). What is p(u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 367, 744, 1341, 2230, 3483, 5172, 7369?\nAnswer: 10146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, -1051, -2862, -5407, -8692, -12723?\nAnswer: -17506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -4) + (-165 - -179 - (0 - -8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -10*d + 18. Calculate the least common multiple of 14 and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (36 - (3 - 0)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -16 (c) -478 (d) 1 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfkvkfjffvvffvjfvv. Give prob of sequence jv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 5*g**6\/24 + g**5\/2 + 5*g**4\/16 + 1. Factor f(t).\nAnswer: 5*t**3*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123654363.\nAnswer: 3, 7, 1619, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 14*q**2 - 429*q - 82. What is s(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/17*(12 - 14) + 66\/(-272). Which is the closest to -1? (a) 2\/23 (b) -3 (c) q (d) 1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - (-1)\/2)*-154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -24. Let u = k - 7. Let i = 1.8 + -0.8. What is the closest to 0.1 in -2, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 5, t: 2, h: 3, s: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + ((-4)\/(-4) - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13651083 to the power of 1\/2, to the nearest integer?\nAnswer: 3695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79\/270 or -1?\nAnswer: 79\/270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16230575*y**3 - 19555960*y.\nAnswer: -97383450*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - u**2 - 2*u - 10. Let d be (3 - 2)*7*1. Let n be o(d). Round n to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3166 at most -15823\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 8. Let o be r(8). Put 2, -1, o in descending order.\nAnswer: 2, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 22*y**2 + 2*y. Let d be t(-2). Suppose 5*b + d = 3*a, -2*a = -2*b + a - 39. Let j = 26 + b. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3345600 divided by 669120\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*-6*(-12)\/90.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 306\/10 + ((-39)\/5)\/13. Is 35 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4590 = -0*d - 55*d + 10*d. Put 0, d, -0.1 in descending order.\nAnswer: d, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/120 + 2*o**5\/15 - 5*o**4\/8 + 13*o**3\/6 - 31*o**2. Let b be t(6). Is -3 - ((-40)\/b)\/(2\/(-263)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 4*q**2 - q - 7. Let f be c(-5). Let z = -16056 - -16054. Sort f, 1, z in decreasing order.\nAnswer: 1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 3237?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -14. Let w be t\/(-2)*12\/45. Let z = w + 8\/5. Put 3\/7, 0.3, z in increasing order.\nAnswer: 0.3, z, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -187 + 49. Let i = -35 + s. Let j = i - -182.3. What is j rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, and 1 n when three letters picked without replacement from {n: 3, h: 3, f: 1, d: 1, s: 6}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 4 (c) 75 (d) -1 (e) 580 (f) -0.1 (g) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*n - 8*v + 12*v, 0 = -3*n + 5*v - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 392196 by 161.\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 98, 93, 94, 101, 114, 133?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2223 divided by 2223.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00088632 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000001100001 (base 2) in base 5?\nAnswer: -231124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/2 of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -122*p + 12948. Give w(107).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613 - 15 = n. Is n\/6*336\/(-32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 101. List the prime factors of y.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndfcdnqnnqcnqnq. What is prob of sequence ccfd?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**5 + 3523075*w**4 - 827472845750*w**3 + 64784228208913850*w**2 - 129565974013382725*w + 64782573273791555.\nAnswer: -5*(w - 234871)**3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(187)*2)\/sqrt(11) + (sqrt(17) - sqrt(136)\/(sqrt(8) - (sqrt(8) + sqrt(8)*2))) + -5)**2.\nAnswer: -55*sqrt(17) + 2157\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/685 and -4\/215775.\nAnswer: 215775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103733 and 19306?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 33, -1, -12, 1, 2.\nAnswer: -12, -3, -1, 1, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 27*h - 58. Let q be s(12). Let p be 1\/(-3) - 34\/6. Let v(o) = 4*o + 1. Let j(x) = -15*x - 4. Calculate p*j(t) + q*v(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 29 - 1 = -5*y, -30 = -5*y + 5*j. Suppose 0 = -5*p + 56 - y. Let f be (90\/(-25))\/((-1)\/(p\/3)). Calculate the highest common divisor of 96 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -8. Suppose -4*u = -u - 3. Let s = v + u. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*r - 730 + 2149 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2907 and 63963690.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/3 + 26*d**3\/3 + 116*d**2\/3 + 72*d + 48.\nAnswer: 2*(d + 2)**2*(d + 3)*(d + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6434027 or -6434021?\nAnswer: -6434027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3686, -3686, -3688, -3692?\n\"Answer: -i**2 + 3*i - 3688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5 + 4*s**4 - 8*s**3 - 10*s**2 + 23*s - 10 = 0. What is s?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(52) + (sqrt(13) + -1 - sqrt(13))*-6 + 4)**2 + (-1 + sqrt(1872) + (sqrt(130)\/(sqrt(10)*1))**2)*2.\nAnswer: -72*sqrt(13) + 376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2. Let n(b) = 14385424*b**2. Calculate o(n(r)).\nAnswer: 1448582965618432*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 612 - -1561. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.4 (c) 0.101 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 - -210. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/16 and -2 + -1 - (4 + 724\/(-56))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 237640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 25*v + 77. Give c(22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10618.7 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let h(g) = -1846*g**2. Give h(w(l)).\nAnswer: -7384*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q. Let m(l) = 9*l + 1730*l**2 - 3457*l**2 + 1733*l**2. Give x(m(f)).\nAnswer: -18*f**2 - 27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1854.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/(-180))\/(((-24)\/(-300)*-15)\/(1\/(-9)))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 146 = 116. Let y(g) = -16*g**3 + 2*g**2 - 2*g - 2. Let h(b) = -32*b**3 + 5*b**2 - 5*b - 5. What is k*h(v) - 5*y(v)?\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/9)*g)**7 assuming g is positive.\nAnswer: g**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, i: 2, y: 4, b: 2, a: 1}. What is prob of picking 1 b, 1 i, and 1 m?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-37122)\/(-15) + 5*(-8)\/(-200)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p**2. Let j be (-3)\/10*-6 + 2\/10. Let s(i) = -42*i**j + 52*i**2 - 19*i**2. What is s(o(x))?\nAnswer: -576*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 137 = 4*i - 13, 4*i - 32 = 2*z. Let a be -1 + -3*z\/75. Let c be 16\/320 - 703\/(-740). Is c >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1167, -1, -1\/5, 1, 5.\nAnswer: -1167, -1, -1\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 47, 101, 193, 335, 539, 817?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1937.1222 times 0.4\nAnswer: -774.84888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (8 - (-8 + 8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1036.4 + 1036. What is the closest to 5 in 0.019, v, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46707 is divided by 2605.\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine quarters of a year?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -4, -2, -20532, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-3) + (-16)\/(-33) and -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 5*n - 2. Let k be f(-5). Let u = 576 - 576.1. Which is the closest to u? (a) -4 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-72)\/(-10)*20\/6. Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2395*y - 1518*y - 0 - 0 - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:04 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -22*g - 551. Is y(-85) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 370*a - 748.\nAnswer: 2*(a - 187)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-10))\/(3\/((-105)\/14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + w - 178. What is the remainder when p(-21) is divided by 227?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -7.1. Let r = -0.3 - t. Which is the third biggest value? (a) r (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3690\/17712*12\/(-200).\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 + 13375*h**2 - 1639510*h - 6772360 = 0.\nAnswer: -4, 133, 2546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 514814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*h + 14 = 0, -3*v + 5*h = -v + 6. Suppose v*k + 1630 = 4*k. Suppose -z - 4*z = -k. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483269 is divided by 905?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 71.04066 minutes?\nAnswer: 4262439600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (52\/(-12))\/((-3)\/(-9)). Which is the biggest value? (a) -2 (b) t (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (77*(-10)\/70)\/(-2*(-1)\/(-4))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}