{"text":"Question: Let d(f) = 2*f**2 + 10*f + 13. Let t be d(-9). Suppose -434 = 5*j - 4*l - 148, -5*l + 53 = -j. Let x = t + j. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*n + 0*n - 2*n - 20 + 0*n to m*n + l and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -0.2  (c) 7314  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/560 and 73\/240?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 36597403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3574 + 22*i - 3574 - 24*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-143*v**4 - 4896*v**2 - v**3 + 4896*v**2)*(9 - 31 - 8).\nAnswer: 4290*v**4 + 30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = z - 10. Suppose 5*r + 5*a = 300, -a - 3*a = -z*r + 291. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, -4, 32 in decreasing order.\nAnswer: 32, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 3*v**2. Suppose 55*m = 54*m + 2. Let f(d) be the first derivative of 2 + 0*d**m + 0*d + 2\/3*d**3. Give s(f(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5448798 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t + 84 = 14*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 - (-129 - 0\/(-2)). Let o(i) = i**2 + s + i**3 - i + 4*i - 2*i. Is o(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 2\/9  (b) -1\/2  (c) -0.114  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 + 0.5. Let l = -592 + 1778\/3. Which is the third biggest value?  (a) k  (b) 2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1666, -1696, -1726, -1756, -1786?\nAnswer: -1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -660*g**2 + 3291*g + 45.\nAnswer: -3*(g - 5)*(220*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 116100544 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 32141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 78 + 82350?\nAnswer: 82428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 106 + 13 = 0. Suppose 3*m = r - 2. Solve -3*d + 4*v + 0*v + 22 = 0, -m*v = 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 87172 and 14430?\nAnswer: 16998540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1294649.\nAnswer: 1294649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 18 = 2*p. Let x be ((-12)\/(-9))\/(p\/9). Let u = 2 + x. Solve u*b - 27 = -b + 4*l, 0 = b + 5*l + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -3*l + 2. Let v(d) = 2*d - 1. Let f(y) = -y**2 - 10*y - 20. Let j be f(-8). Determine j*v(t) - 3*q(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36554046 (base 7) to base 10.\nAnswer: 3273969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4589543 to the power of 1\/2, to the nearest integer?\nAnswer: 2142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 52*u + 69 = 51*u, -9*j - 2*u + 192 = 0 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 601 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 42 + -208\/5. Determine u, given that 0 - 2\/5*u**3 - o*u + 4\/5*u**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3*j + 206 = 0, 5*j - 84 = 5*o - 284. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(242) + -1 + sqrt(6)\/(sqrt(363) - -2*sqrt(363)))**2.\nAnswer: 728*sqrt(2)\/11 + 274793\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-210)\/9*(-21)\/(-6). Let p = 81 + w. Which is the nearest to -1\/4?  (a) p  (b) -0.5  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/49*(-270)\/(-180)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 27*z - 31 + 166 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, x: 2}. What is prob of picking 2 x and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(50)*-1)\/(sqrt(80)\/(sqrt(8) - 3*sqrt(8))) - (sqrt(60)\/(sqrt(24)\/sqrt(2)*6) + (sqrt(110)\/sqrt(2)*3)\/sqrt(11))**2.\nAnswer: -1805\/36 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 682 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 11:38 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 511?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 385 and 665?\nAnswer: 7315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2157)\/(-21))\/1 - (140\/49)\/(-10). Calculate the highest common factor of 721 and l.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-64)\/80)*92\/(-299).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of n**4\/6 + 2*n**3\/3 + 21*n. Factor j(q).\nAnswer: 2*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vqccvccqvbqc. Give prob of sequence qv.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 5:56 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 805123546 is divided by 534?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 299705\/330 - 1\/(-6). Let n = p + -910. Find the common denominator of n and -2 - 564\/(-220) - (-12)\/15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 1782?\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - 41910710441.\nAnswer: -41910710446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7.93549 nanograms?\nAnswer: 0.00000793549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 174848539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1022864 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 252 and 436?\nAnswer: 27468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 34 + -29. Suppose -9*i + 4*i = j*a + 10, -5*a = 25. Suppose -x + 19 = f, -f = i*f - 5*x - 121. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5\/4  (b) -0.5  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 5*c - 3*c + 6, -5*n = 5*c + 15. Suppose -4*b - 2*f + f - 7 = n, -5*b - 11 = -f. Sort 20, b, 2 in ascending order.\nAnswer: b, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of 1\/10*v**6 - 1\/6*v**4 + 0 + 3*v + 0*v**2 - 1\/20*v**5 + 0*v**3. Solve h(w) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.53 + 3.53. Which is the second smallest value?  (a) 2  (b) 1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10 + 42255?\nAnswer: 42265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 138248170*x**5 - 136462332*x**2.\nAnswer: 8294890200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 3*p = -4, -81 = h + 5*p - 121. Solve 0 = -5*z - u + 17 - 10, 13 = -z - h*u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = 3*j - 13, 4*f + 4*j + 4 = -0*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 227714588?\nAnswer: 2, 56928647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 27.1814 to one decimal place.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 1383 + 2*g - 775*g**3 + 1325 - 2832 - 2*g. Let b(d) = -31*d**3 - 5. What is -124*b(r) + 5*j(r)?\nAnswer: -31*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - -2 - 2\/(-5). Let s = 1.6 + 0.4. Which is the nearest to y?  (a) -1\/4  (b) s  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 145 - ((-78384)\/(-1794) - -101).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*m - 3. Solve m*x - 2 = 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.7294706l?\nAnswer: 729.4706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**5 + 12066*w**4 - 18022434*w**3 - 532189042*w**2 - 992191788*w = 0 for w.\nAnswer: -27, -2, 0, 3031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -5*k**3 - 6*k**2 - 4. Let p(q) = 9*q**3 + 11*q**2 + 7. Let w = -3 - -7. Suppose -26 = -4*l + l - m, -20 = -4*m. Determine l*r(g) + w*p(g).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -3*l**2 + 6*l. Let x(r) = -r**2 - r. Calculate w(n) - 2*x(n).\nAnswer: -n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of 5*g**4\/12 + 5*g**3\/9 - 5*g**2\/6 - 5*g\/3 - 17. Factor f(y).\nAnswer: 5*(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58246 (base 9) to base 6.\nAnswer: 455453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 47.38 - 56. Let v = 8.63 + b. Sort v, -0.07, -2 in descending order.\nAnswer: v, -0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*i - 5*i - i)*(0*i - 3*i + 4*i) + 4*i**2 + i**2 - 3*i**2 + (-6*i - 4*i + 3*i)*(23 - 23 + 8*i) in the form w + g*i**2 + u*i and give g.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*t - t**2 + t**3 + 0*t - 3*t**3 + 8*t - 1 to the form r + p*t**3 + m*t**2 + n*t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*n**3 - 181782*n**2 + 10995052.\nAnswer: -12*n**2 - 363564*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/2136999 and 34\/437.\nAnswer: 40602981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -208334*k*p**4 - 310*k*p**2 - k*p - 3*k + 3*p**4 + 16*p wrt p?\nAnswer: -5000016*k*p + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -3*l**2 + 1032*l - 77589 = 0?\nAnswer: 111, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12056834*x**2 - 73060*x - 31 wrt x?\nAnswer: 24113668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 834214983600 and 0.24.\nAnswer: 834214983600.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + -4. Let j = g + -1. Let h = -1.14 + j. What is h rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11301 (base 6) in base 11?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 3*f**4\/4 - 867*f**3\/2 + 18765*f**2\/4 - 15309*f\/2 = 0.\nAnswer: 0, 2, 9, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u - 1. Suppose -2*w - 4 + 18 = 0. Let r be x(w). Does 2 divide (8\/(-3) - -3)*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34100 divided by -329\nAnswer: 34100\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 897582485 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 3*f - 9. Suppose -18 = -2*x - 6. Let g be q(x). Solve -1 = -5*j + g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 456145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -108905 + 4094368.\nAnswer: 3985463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 0) + 120\/(-72).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2044300 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -117*d**5\/2 + 11697*d**4\/4 + 114171*d**3 - 3059547*d**2\/4 + 639525*d + 8325 = 0.\nAnswer: -30, -1\/78, 1, 5, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, 0.2, 4, 2467 in decreasing order.\nAnswer: 2467, 4, 3, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 366920 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82*436.\nAnswer: -35752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40)\/92*(-8367)\/13945?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 5*f = -3233 + 379, 1901 = 2*q - 5*f. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - 11030230121?\nAnswer: -11030230131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15 and ((-8)\/((-200)\/165))\/(2\/10).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**13\/j*j))**37 assuming j is positive.\nAnswer: j**(-444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of 2 - 1\/8*c**4 + 5\/6*c**3 - 3\/2*c**2 + 0*c. Let u(x) be the second derivative of f(x). Determine u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = h + 12. Let d = h + 5. Solve -3*j = 4*b + d, -b - 2*b - 21 = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -1  (c) -536  (d) -21.34  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1\/8, 1, -0.2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-64)\/(-12) + -5)*6. Solve 5*i - 8 = 5*j + k, -2*j - 18 = 5*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -398 + 398.2. Which is the fourth smallest value?  (a) y  (b) 0  (c) -4  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 186349 divided by 186349.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 69210?\nAnswer: 1\/34605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6611 and -60.92.\nAnswer: 402742.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6104?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1616\/(-505) - (-2)\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 2*l - 20, l + 3*s = -l + 12. Suppose -8*n + l = -7*n. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -323411 (base 5) in base 13?\nAnswer: -5094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, q: 1, z: 1, s: 4, y: 1}. Give prob of sequence yz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*u - 7*u + 2*u)*(-38 + 38 - u)*(4*u + 7*u**2 - 4*u) - 2*u**4 - u**4 - 2*u**4 to the form g*u + m*u**3 + y*u**2 + w*u**4 + l and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 231345 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 6763 = 5*g, 5*g + 10*n = 8*n + 6781. Let y = g + -627367\/463. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2234, -8520, -18884, -33326, -51846, -74444, -101120?\n\"Answer: -2039*z**2 - 169*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/36 - 896\/(-18). Suppose 4*v - 34 - p = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*w + 350 = -32*w + 38*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -116163923, -232327851, -348491783, -464655719, -580819659, -696983603?\n\"Answer: -2*z**2 - 116163922*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 3:38 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 2\/11, 1, -13\/21 in ascending order.\nAnswer: -13\/21, 2\/11, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l - 8. Give p(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 25537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -234 + 232 - (-2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = a + 170. Let v(g) = g**2 + 21*g + 89. Calculate the remainder when a is divided by v(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18109 + 1006 = 3402*q - 3064 + 23383 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-8)\/12)\/(6\/9). Let h(v) = -65*v - 1. Let a be h(j). What is the remainder when 42 is divided by a\/6 - 1\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/63*77)\/((-1)\/(-3)) + 52.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -0*u - 2*u + 2*r, -4*r + 4 = 3*u. Let h = u + -8. List the prime factors of (7 - h)*(-2)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76948.\nAnswer: 2, 19237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 162 and 360.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**3 - 33 + 23 - 57 - o**3.\nAnswer: 2*o**3 - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = 4*a + t, 3*a = 2*a + 5*t - 27. Sort -5, -3, a in decreasing order.\nAnswer: -3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 5*u + 157 = 0, -2*n + 3*u + 52 - 1 = 0. Suppose -18 = 3*x + n. Let z = -2.79 + 2.39. Sort z, x, -2 in descending order.\nAnswer: z, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 430701525 a multiple of 6225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2541 + 411 = -239*f + 977 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -960633.0138 - -960486. Let s = 23.7 + 123.3. Let w = s + o. Round w to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 54 + -45. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*y + 1393 - 1468 = 0. Suppose -4*o = -o - 5*x + 13, 2*o = x + 3. What is the derivative of 51 - 80 + 10*r**y + 4*r - o*r wrt r?\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**2. Let a(d) be the first derivative of 7*d**6\/360 - d**3\/3 + 2. Let p(c) be the third derivative of a(c). Determine p(q(s)).\nAnswer: 28*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 PM and 6:48 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c - 4. Let a be f(3). Let x = a - -8. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -33, 11, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 114 + -227\/2. Let o = -294 - -294. Which is the closest to -13?  (a) 3  (b) o  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000004135009941 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 27669 + -4980481\/180. Calculate the common denominator of r and -31\/280.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d + 4. Let v be p(0). What is the greatest common divisor of v and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1690903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 44515415 - -400?\nAnswer: 44520215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2)*(5*v + 11*v - 24*v + (3*v + 2*v - 4*v)*(3 - 3 + 1)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -5*y**2 + 28925*y = 0.\nAnswer: 0, 5785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4254.795 rounded to the nearest 10?\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v + 16. Let a be j(-12). Solve a*h = -0 - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 5*d + 30, 4*r - 5*d = 6*r + 16. Let b = 6 - 3. Sort b, r, 1\/4.\nAnswer: 1\/4, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1901640 and 1855?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 4*u + 4 = 0, u - 1 = 2*a - 0. Let l be 3 + (a\/1)\/(-1). Let z = -728 - -758. Calculate the highest common factor of z and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 737668 = -182*j + 740580 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1242 - 5?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -2. Let o = j - 4. Suppose -5 + 50 = o*a. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*n + 0*n + 0*n)*(-349*n - 3*n**2 - 2*n**3 + 484*n + 2*n**2) in the form i*n**3 + f*n + r + a*n**4 + p*n**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 500672 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -621 divided by 2.\nAnswer: -621\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 734981759*k**3 - 1186*k**2 - 163186 wrt k?\nAnswer: 4409890554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of m**6\/3 - 2*m**5\/5 + 20. Find w such that t(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-11)\/44 - 0) + 3710\/(-8). Let g = i - -477. Calculate the remainder when 296 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of v**7\/105 - v**6\/20 + v**5\/30 + v**4\/4 - 2*v**3\/3 - 21*v**2\/2 + 10*v. Let c(d) be the first derivative of o(d). Factor c(x).\nAnswer: 2*(x - 2)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 3, c: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 7:02 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 - -23332?\nAnswer: 23322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -408 + 413. Solve b = 2*f + 5*v, 0 = 2*f + 4*v - 2 - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/25 and -34\/5?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 PM and 7:03 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 3*i - 96 = 0, 3*i + 2*i - 164 = -4*k. Suppose k = -4*q - 4*z, q + 10 = -2*z - 0. Let h = q - -20. Solve -4*r + r = h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 43*w**2 - 216*w**3 + 111*w**3 + 103*w**3 - 5 - 2*w**4 + w to the form v*w**4 + y*w**3 + d*w**2 + c + t*w and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -14520220 (base 6) to base 5\nAnswer: -112224431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from coootuxmoxo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Is 191 a factor of 17878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 3*f - 10 - 5*f + 9. Let h be w(-1). Solve -h + 3 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21 + -43.388865808.\nAnswer: -22.388865808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3310218*g**3*w - 2107285*g**2*w - g**2 + 9 wrt g?\nAnswer: 19861308*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 48*x - 17. Let w(o) = 3*o - 2*o + 0*o. Let i(n) = -q(n) - 4*w(n). Is i(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -65 + 64.2. Let c = 3 - 5. Let p = -2 + c. What is the third biggest value in p, z, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - o + 30 = m, 5*m = -o + 154. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4500 - 4518. Sort a, 2, -3, -2.\nAnswer: a, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5680 (base 13) in base 6?\nAnswer: 132011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25 + -5. Suppose -44 = -3*c + 4*q, 0*q = -5*c - 4*q + n. Suppose -v + c = -0*m + 3*m, -5*m = 5*v. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3*q + 250 = 0, w + w = 3*q - 545. Let v = 486 + w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 3*r**2 - 4*r. Let v be b(4). Suppose -5*d = -2*p + 15, v = 5*d - 8 + 3. Suppose -4*z - 5 = 4*g - 3*z, p = -2*z. Solve q - 4 = -g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 15*s**2 - 34*s + 17. What is the units digit of d(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 701 + 139 = 4*p. Suppose -2*a = -5*w - 0*a + p, -w + 15 = 5*a. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(36)\/sqrt(2))\/sqrt(6))**2 - (sqrt(27)\/(sqrt(324) + 1*sqrt(324)))**2.\nAnswer: 10*sqrt(3) + 1343\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38754 divided by 9.\nAnswer: -4306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 - 51 = 2*u. Let v be 2 + (u - -2) - (-140)\/(-50). Put 5, 0.1, v in ascending order.\nAnswer: v, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6076718 or 6076715?\nAnswer: 6076715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of i**4\/24 + 25*i**2 + 28. Let u = 15 + -22. Give g(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -6. Let j(q) = -8*q - q + 4*q - 14*q**2 + q. Let a(w) = -w**2. Let y(r) = c*j(r) + 5*a(r). What is the second derivative of y(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-22)*1\/(-2). Let y be (-4)\/(-50)*5 + (-184)\/(-40). What is the biggest value in -3, 0.3, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 11 - 11 = x, -2*l + 18 = -5*x. Put -8, x, -4 in increasing order.\nAnswer: -8, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + 0*r + 0*r + 2*r - 2*r + 2*r + (2 + 1 - 1)*(-1 + 1 + 2*r))*(19*r + 18*r - 3*r).\nAnswer: 170*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2117423671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 + g - 18. Let c be n(-4). Let x be ((-2)\/(-4) - 0)*(22 - c). What is x rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1810055, 3620109, 5430163, 7240217, 9050271, 10860325?\nAnswer: 12670379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = 9*t - 4. What is the common denominator of ((-12)\/36)\/(t\/186) and -83\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(108\/(-66)))\/((-19)\/(-57))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (30\/(-8))\/(57\/(-380)). Let g = 0 + y. Solve -g = -4*q - q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -10. Suppose 0 = -n*z + 12221 - 3701. Suppose -3*g = -0*g + z. What is g rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21156551 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6109 by 1.\nAnswer: 6109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13050 by 2610.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 812  (b) -1  (c) -2  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 32607 - 284721 = 2*s, -3*h + 476034 = 4*s. What is h rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -5*q - 27. Let p be d(-6). Solve -5*y = -p*w, 8*y + 3*w - 30 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -2*h + 46617, 0 = -234*j + 239*j + 35. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9170.139 micrograms to nanograms.\nAnswer: 9170139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2243*k - f - 34 = 2240*k, 55*f = 5*k + 9*f - 234 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - -20 - (59 - 37).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - (4 - 0))*-1. Let 0*r**2 - r + 2\/3 + 1\/3*r**z = 0. Calculate r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 9*w**2. Let v(g) = -12105*g. Calculate u(v(k)).\nAnswer: 1318779225*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1906493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 355 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 146989118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -222.00097 - -222. Round o to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, x: 3, g: 5, w: 1}. What is prob of picking 2 g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13085?  (a) -0.1  (b) -2  (c) 12  (d) 4  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r + 3*r + 25106*r**2 - 12547*r**2 - 12547*r**2 - 6*r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53421.\nAnswer: 3, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.186 take away 3.1368?\nAnswer: -4.3228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -516, -510, -502, -492, -480, -466, -450?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 10 = -h. Suppose 0 = -h*b + 2*b + 12. Factor 0*i**3 + 0 - 2\/7*i**5 + 2\/7*i - 4\/7*i**b + 4\/7*i**2.\nAnswer: -2*i*(i - 1)*(i + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, t: 1, b: 3, l: 1, k: 2}. Give prob of picking 1 t and 2 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 0*r + 3\/5*r**3 + 0 - 3\/5*r**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 6247*t + 89793. What is f(-14)?\nAnswer: 2335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 - (-29 - (-15 + 28 - 41))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 366, 324, 260, 168, 42, -124, -336?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 28 = -3*i, z + 1 - 5 = -2*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uk when two letters picked without replacement from llutkubbukbb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2257978 and 372.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 118*h - 1363. Determine s(16).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + n + 6 = 0, 0 = 3*i - 6*n + n - 6. Solve -2*x = -4*f - 4, -i*f = -f + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/15 and 108\/(-20) - -5 - (-1352)\/180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 211*s - 78*s - 63*s - 69*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2376 = -12*q + 156. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2*r**3 - 21*r**2 + 9*r - 1. Calculate c(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -82.02 - -84. Let y = m + 0.02. Let c = -2.7 - -2.7. What is the second biggest value in y, c, 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 5*k**2 - 6*k - 6. Let g(u) = -u**2 + u + 1. Let p be 48\/(-10)*100\/(-6). Let q be 10\/(-65) - p\/(-13). Determine q*g(w) + h(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r + 4, -5*x + 5*r - 2*r + 46 = 0. Let l = -4 + 6. Calculate the lowest common multiple of l and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 857 = -y + 32433, 4*a - 2*y - 33284 = 0. Does 30 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q - 2. Let z be f(-3). Let d be (-3)\/(-12)*1 - 134\/(-8). Solve -4*m = 5*w - 10 - z, -d = w - 4*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (11 + 126\/(-12))\/(4\/1624). Which is smaller: u or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 minus 7996?\nAnswer: -7996.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 33379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - l - 34, -5*l + 7 = -18. Let h = 27 - f. 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: Calculate prob of picking 1 n and 2 m when three letters picked without replacement from {s: 5, m: 3, n: 3, q: 9}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1572*j + 70*j**2 - 17*j**3 + 7*j**3 - 22*j wrt j?\nAnswer: -60*j + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3345*q + 48516 + 108699 = 0 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 347 divide 25843172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - m**2 - m - 1. Let r(v) = 8*v**3 + 736*v**2 - 12*v - 12. Let a(k) = -12*q(k) + r(k). Determine c so that a(c) = 0.\nAnswer: 0, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-4 - 1 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132377 is divided by 471?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14080 and 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25348\/29 + 874. What is the second biggest value in -5, 0.9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o**4\/5 - 159004*o**3\/5 + 1053639982*o**2\/5 - 561757600*o + 1404288008\/5 = 0. What is o?\nAnswer: 2\/3, 2, 13249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 5*r = -35, -4*r + 7 = -0*u + u. Let f = u - 7. Factor -1\/2*s**2 + f + 1\/4*s**3 + 1\/4*s.\nAnswer: s*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(1008) - sqrt(1008)*1))**2 + 4*-2*sqrt(343).\nAnswer: -56*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {g: 1, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -126, -109, -80, -39, 14, 79?\n\"Answer: 6*u**2 - u - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.16 and -76.\nAnswer: -12.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19\/216 + 553\/1080. What is the nearest to -2 in -4, 3\/8, 4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-48)\/168 + (-592)\/(-14). Let l be b\/77 - 230\/(-22). Which is smaller: l or 14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -74586 (base 12) in base 11?\nAnswer: -a4958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21 + -16. Let o be -4 - -7 - (2 - f). Suppose -3*v = r - 57, -o*r + r + 335 = 5*v. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 109 + -100. Put 0.5, n, -1\/4 in increasing order.\nAnswer: -1\/4, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + h - 3*q = -10, -h = -4*q + 4. Solve -15 = 2*c - h*n - 5, -2*c - 8 = -3*n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 0)*15*15\/45?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2735\/3 - -936. What is the common denominator of 11\/9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13 + -11. Suppose 2*o = c*l - 59 - 67, 276 = 4*l + 4*o. What is the remainder when l is divided by 17\/((3\/1)\/3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1*(sqrt(612) + -2*sqrt(612))**2 - ((sqrt(612)*-1 - sqrt(612)) + 2 + -3*(sqrt(612) + -1 + sqrt(612)))**2.\nAnswer: -39809 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {l: 16, a: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + (-7 - 3) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 - 12*n**2 + 13*n - 2. Let u be m(-13). Let v(w) = 10*w**3 - 2. Let g(r) = -r**3 - r**2 + 1. Let a(t) = u*g(t) - v(t). Let a(h) = 0. What is h?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-24 - -4) + -32 + 42\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 115817.6ml in litres?\nAnswer: 115.8176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - sqrt(931))*-6)**2 + sqrt(19) + sqrt(19) + 3 + sqrt(19) + 1 + -3.\nAnswer: 3*sqrt(19) + 24625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 70 - 71. Let t be ((-3)\/(-12))\/((-12)\/(-32)). What is the closest to x in -0.5, 2\/9, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**3 - 32*q**2 + 76*q - 48.\nAnswer: 4*(q - 4)*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7ca3 + 2?\nAnswer: -7ca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7\/9 - 140\/99. Let h = -2\/55 - v. Which is the nearest to 0?  (a) -1\/2  (b) 2\/11  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 34, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1213875 less than 2045065.4?\nAnswer: 831190.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4\/9  (b) -9  (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 275, 253, 219, 173, 115, 45, -37?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 - -30. Let d(u) = -26*u - 15. Let z be d(-7). Suppose z - 32 = 5*o. Calculate the remainder when o is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2 - 13952408*a + 24333711124808.\nAnswer: 2*(a - 3488102)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -937.453102 less than 2448?\nAnswer: 3385.453102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -6*m - 5. Let r(y) = -4*y - 3. Let g = -2 + -6. What is g*r(z) + 5*q(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3 + 32*m**2 + 641*m - 16872.\nAnswer: -(m - 37)*(m - 19)*(m + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4\/3  (b) -2\/11  (c) -0.07  (d) 0  (e) 10331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -31*y**9\/63 - y**6\/60 + 1261*y**5\/20 + 3261*y**2. What is the third derivative of a(k) wrt k?\nAnswer: -29760*k**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 217, 230, 243, 256, 269?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-3))\/((-3)\/((-36)\/16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/720 and 91\/240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -5, -22, 0, 209, 3 in ascending order.\nAnswer: -34, -22, -5, 0, 3, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/6080 and 7\/4.\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 0*d - 2*d - 220, 20 = 4*d. Let w = s - 161. Let k = 78 + w. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 362218 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 AM and 8:47 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -298, -560, -1058, -1798, -2786?\n\"Answer: -q**3 - 112*q**2 + 81*q - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 - 2*i**2 - i - 4. Let j be 13\/4 + (-1)\/4. Let t be w(j). Suppose 6*u - 8 = 2*u. Solve -t - 2 = -u*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 31120 and 198?\nAnswer: 3080880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-126 - (28 - 78)) + 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/3 - 25\/(-3). Let q be (-376 - -1)*(-12)\/(-5). Let r be ((-16)\/6)\/(h\/q). Round r to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 92 - -368. Suppose 4*r = 4*l + c, 2*l - 3*l - 3 = 0. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 7*k**2 + 1. Calculate the least common multiple of 223 and s(1).\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-130)\/(-52) + (354\/12)\/(3 - 4). Let t(y) = y**3 + 29*y**2 + 60*y + 38. Determine t(c).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 0.2  (c) 0.5  (d) 0  (e) -0.083\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4372875 and 726.\nAnswer: 1058235750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 28800226 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -14\/1247077 and 53\/65?\nAnswer: 6235385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 92*y. Let q(u) be the first derivative of 1 + u**3 + 13 + 1 + 9 + 0*u**3. Calculate q(d(x)).\nAnswer: 25392*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 100 + -70. Let g = -60 - -91. Suppose 17 = 2*o - 0*o - 3*l, -4*o + g = -3*l. Solve 4*d + 15 = o*d, i = -2*z + 4*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/4, -2, 19, -3\/2, 3\/5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 (base 12) in base 9?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3683 and 381.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/11 + ((-78)\/396)\/13. Which is the second biggest value?  (a) -5  (b) -1\/3  (c) t  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 4 - 2 + (-3 + 3 + 2)*(5 - 4 - 3) + 1 + 4 - 4 + 4 - 4 + 3 - 4 + 3 + 3)*(1 - 1 - 10*x) in the form z + k*x and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes before 11:16 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1385420 and 13854200.\nAnswer: 13854200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2\/19, 2, 0.8, 89889 in descending order.\nAnswer: 89889, 5, 2, 0.8, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -226 + 307. Suppose n*u + 2152 = 89*u. What is the remainder when u is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 17 = -0*g + 5*i, i = 2*g + 1. Let a be g\/(-4)*(9 - 7). What is the highest common factor of 4 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 AM and 6:50 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + a7?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -679 at least -455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10.4 + 10. What is the biggest value in 4\/3, j, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.58  (b) -6  (c) 2  (d) 4  (e) -1  (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-13190)\/(-333) + (-6)\/(-9). Let c be ((-15)\/(540\/(-2896)))\/(2*-1). Let y = c + o. Is y at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5389 divided by 2.\nAnswer: 5389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -238 + 238 - 17*d + 7*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -10*r**3 - 15*r - 15. Let g(j) = -j**3 + 9*j**2 + 2*j - 3. Let i be g(9). Let v(c) = 2*c + c**3 + 6*c + 37 + 8*c - 15*c - 36. Give i*v(q) + w(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.6 + -0.4. Let n = z - -1.5. Let i = 0.575 + n. Round i to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/10*70\/(-7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19283594 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26 - 25.987. What is q rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 477787426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*j**2 + 43*j**2 - 79*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 66\/4*12\/9. Let a be 4\/w + 38160\/176. Suppose f - a = 4*k, -3*f - f + 842 = -3*k. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + 10. Find the second derivative of 3*l**3 + 2*l + 12 - f wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*k**5\/7 - 86*k**4\/7 + 6978*k**3\/7 - 42300*k**2\/7 - 16848*k\/7 = 0. What is k?\nAnswer: -26, -3\/8, 0, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23312 and 1128.\nAnswer: 69936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/2225079 and 58\/203965575?\nAnswer: 611896725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -4*(((1*sqrt(225))\/sqrt(5) - sqrt(45)) + 1 + sqrt(4500) + sqrt(360)\/(sqrt(32)\/sqrt(4)) + 2) + 1)**2.\nAnswer: 2904*sqrt(5) + 87241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j**3 - 4*j**2 + 12*j = 0. What is j?\nAnswer: -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 478034 is divided by 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 513 - 5933 - 321 = 53*c + 619 for c.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b - 71 = 25. Suppose -b*z + 822 = -6*z. Is z*(3 + 0) - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 500382 is divided by 187.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1977647?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 6, -8, -155?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 3*v - 4 - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 3 - 2 - (6 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4398, -8993, -13588, -18183?\n\"Answer: -4595*h + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 231 by 77.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7601*j**3 - 14832*j**2.\nAnswer: -45606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 8 - 36. Suppose -y - y = -x. Let z be 63\/y + 2\/(-1). Which is the biggest value?  (a) 2\/9  (b) 2\/3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of 1\/60*d**5 + 12*d**2 + 0 + 0*d + 0*d**4 + 0*d**3. Let n(x) = 8*x + 3 - 3. Calculate b(n(i)).\nAnswer: 64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11034 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: Let c be 3*-1 - (16 + -26). Let i be (-18)\/42 + 1522\/c. Calculate the highest common divisor of i and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 30\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*v - 3*z, -2*v + 6*z + 10 = z. Suppose -3*q = -4*q + 5, -5*r + q + 5 = v. Is r at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 169 - k**3 - 169 - 3*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 131 - 115145?\nAnswer: -115014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 - 12. Suppose -9*o - 6 = -i*o. Let l be o*4\/12 - 1. Which is smaller: l or 7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -55, 0.06, 0?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -233, -1181, -3577, -8141, -15593, -26653?\nAnswer: -42041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2*z**2 + 11*z. Let d(y) = -y. What is -2*d(n) - m(n)?\nAnswer: 2*n**2 - 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -5*w + 8999, 3614 = 2*w - 2*o - 2*o. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 - 17. What is the units digit of ((-18)\/c)\/((-5)\/(-25))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 197 + 3. What is the second smallest value in -5, r, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/8 + 27499*h\/4 + 178659.\nAnswer: (h + 26)*(h + 54972)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 8*p - 6. Suppose 4*r = -t + 2*t - 52, -170 = -4*t - p*r. Suppose 3*l = 30 + 3. What is the greatest common factor of l and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m - 14. Let g(n) = 1. Suppose 564*l - 1161 + 325 = 856. Give l*g(p) + i(p).\nAnswer: -2*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1606*k + 214725 = 350*k - 2377*k + 770*k for k.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30482854 to the nearest integer?\nAnswer: 5521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 + 26. Let g be 3\/(-6)*(-2)\/(-5). Which is the third smallest value?  (a) 1  (b) g  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 0 + sqrt(22)\/sqrt(2) + 3 - ((sqrt(1584) + -2)*-6 + 3))**2.\nAnswer: -2190*sqrt(11) + 58844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -19?  (a) -18  (b) -32  (c) 0.4  (d) 1614\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*y**2 - 292922445*y + 73230612.\nAnswer: -3*(y + 24410204)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 0. Let p = 4.5 - f. Let v = p - -4. Sort -4, 0.4, v in decreasing order.\nAnswer: v, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -9*g + 22. Calculate the smallest common multiple of c(0) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*j + 4, 3*j - 11 = -4*h. Solve -5*g + h = 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 280213?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -65, -145, -237, -341?\n\"Answer: -6*m**2 - 62*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -2, 4, -41 in decreasing order.\nAnswer: 5, 4, 2, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**3 + 196*q**2 + 1279*q + 248.\nAnswer: (q + 8)*(q + 31)*(5*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -425 by -56.\nAnswer: 425\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 271 = -5*r, 495*r + 548*r + p = 2098 + 967 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 2*p**2 + 4*p - 1. What is the least common multiple of s(3) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 3*l + 13974. Let y = 118132 - 177474. Let t = l + y. Round t to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -3*n + 16 - 1, -4*n + 9 = -z. Suppose 3*h + 3*g = 189, 5*g + 294 = 5*h + z*g. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -331\/4 or 138?\nAnswer: -331\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73, -114, -167, -238, -333, -458, -619, -822?\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1421943790*p**2 - 327030179 wrt p?\nAnswer: -2843887580*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/((-17)\/15 - (-2)\/15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 times 0.31?\nAnswer: 25.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u - 5*u + 4*u)*(-2*u + 2*u + 2*u) + (-u - 4 + 4)*(-4*u - 3*u + 5*u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 77 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*o**3 + 2455*o - 2508*o + 42*o**4 - 48*o**4)*(o - 2*o + 0*o).\nAnswer: 6*o**5 - 5*o**4 + 53*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2206 by 2.\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16 - -7. Let x = -6 - v. Determine t, given that -t**2 - 2*t**3 + 2*t - 3*t**4 + t**4 + x*t**4 + 0*t**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 7 - 169*x**3 + 7 + 172*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 2*u = 97, -130 = -0*n + 4*n + 3*u. Let v(x) = -x**2 - 30*x + 33. Let m be v(n). Solve m*g + g = -9, 5*g + 30 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 6*n = y - 9, 0 = -5*n - 5. Suppose -12*z + 89 = 29. Suppose -y*w = z - 29. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*z - 642 = 590. Solve 5*d - z = 5*o - 6, o = -3*d - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of -p**7\/420 - p**5\/40 + p**4\/24 + 29*p**3\/3 + 37*p**2. Let m(z) be the first derivative of y(z). Determine m(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -31 - -31.00048. What is a rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -472a30 (base 12) in base 14?\nAnswer: -21b5d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) -4  (c) -6  (d) -3\/7  (e) 75  (f) 309\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 5*f + 3*s, -5*f + 2*s + 10 = -2*f. What is the second derivative of -7*h - 13*h**4 - 9*h**f + 25*h**4 - 7*h**4 wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 - 14. Let l = b + 14. Suppose 3*x - 4*x + 15 = w, 3*x - l*w - 5 = 0. Round x to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z + 10. Let r be m(-10). Let a(s) be the second derivative of -1\/12*s**4 + s - 1\/3*s**3 + 0 + r*s**2. Find t such that a(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32521*p**2 + 4*p + 1867*p**2 - 14458*p**2 + 5504*p**2.\nAnswer: -39608*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(76)\/(sqrt(20)\/sqrt(5)) + sqrt(19) - sqrt(19)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(21)*-1)\/sqrt(7).\nAnswer: -5 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 9*g**2 - 17*g + 152. Let t be q(9). Let f = -1 + -2. Sort f, t, -4, -14.\nAnswer: -14, -4, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 212295 and 0.2?\nAnswer: 42459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + (-1)\/((-1)\/5). Suppose -29*u = -30*u - 3. Sort 4, u, i in descending order.\nAnswer: i, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4}. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -82, -0.5, 189, -1?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000325729575 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(55)\/sqrt(5) + (sqrt(176) + 2)**2.\nAnswer: 17*sqrt(11) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 1*sqrt(1900)*4 + -1 - (-5 + 5*2*sqrt(1900) + 2).\nAnswer: -60*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*6\/(-12) + 11\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/(-644)*-14*644\/(-16464)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(605) + sqrt(605))**2*-5*-6*1.\nAnswer: -2640*sqrt(5) + 72720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -400 - -526. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6209614 divided by -14?\nAnswer: -3104807\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 39 - 3 = 0. Solve 3*v - 2*m - m - b = 0, -3*v + 14 = -4*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 49, -4, -8, -1, 273, -3, 3 in increasing order.\nAnswer: -8, -4, -3, -1, 3, 49, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-8)\/(-48))\/(-3*5\/(-24)). Let t = b - 3\/5. What is the nearest to -0.3 in -0.4, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 f when three letters picked without replacement from {e: 1, p: 3, s: 4, l: 1, q: 4, f: 2}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-2)*(-1 - -1). Let d = 12 + -7. Suppose 0 = -d*y + 4*r + 431, -y + 3*r + 7 + 88 = q. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from lcciozlz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) -0.081  (b) -2  (c) 1  (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 419*f*k**3*q**3 + 93*f*k**3*q + 497*f*k*q + f*k - f*q**3 + 6*f*q**2 + k**3*q**2 + 2*k**2 wrt k.\nAnswer: 2514*f*q**3 + 558*f*q + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -23*u**2 - 19*u - 6. Let i(h) = -45*h**2 - 38*h - 11. Let v(g) = 11*c(g) - 6*i(g). What is the second derivative of v(f) wrt f?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 126*j**2 - 2. Is p(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**10*((w*w**(2\/15))\/w)\/w)\/(w\/w**4)**(-37) assuming w is positive.\nAnswer: w**(-1528\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 1373*f - 1374*f + 12 - 13. Let j(g) be the second derivative of g**4\/12 + 5*g**3\/6 + 5*g**2\/2 - g. Determine j(q) + 3*x(q).\nAnswer: q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 + 2*t - 2. Let d be b(4). Let o be (-12)\/30 + (-194)\/d. Solve -2*f = 5*q - 16, -f - 5 = 4*q - o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-1*(0 + sqrt(11)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 7*p - 7 = -6*p, 3*h - 5*p = 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 PM and 1:01 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 11 + 5*l + 7602*l**2 + 7606*l**2 - 15209*l**2 + 5. Give m(-9).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -9*d**3 + 44*d**2 - 80*d + 4. Let v(b) = -19*b**3 + 89*b**2 - 160*b + 9. Suppose 0*o - 9 = -o. Let t(s) = o*z(s) - 4*v(s). Let t(k) = 0. What is k?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -33*r + 1653. Give q(51).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 0*z + 4*z + 10 = 0, 2*z = -3*j - 12. Suppose 7 = -5*o - 8. Put -1, j, o in descending order.\nAnswer: -1, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-5 - -1) - ((8 - 14) + 11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3887234 to the nearest integer?\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 241*u**3 - 66*u**3 + 47*u**3.\nAnswer: 222*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*x + 2637 = 73*x + 205 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 - 10. Solve 8 = -2*s + w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f - 5*f + 276 = -3*t, 2*f + 159 = -4*t - 276 + 93 for t.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 1637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -2*s**2\/15 - 4924*s\/15 - 3030722\/15 = 0.\nAnswer: -1231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g - 1 + 1)*(1 - 2*g - 1) + 2*g**2 + 0*g**2 + 0*g**2 + 2*g**2 + 0*g**2 - g**2 + (0*g + g - 3*g)*(-4*g + 5*g + g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3904, 3902, 3900, 3898, 3896, 3894?\nAnswer: 3892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 divided by 5895075.\nAnswer: 7\/1179015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 569476519668 - -346.\nAnswer: 569476520014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 11:37 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 l when three letters picked without replacement from {l: 9, s: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -47*s**3 - 2631*s**2 + 78*s + 1241. Determine k(-56).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/9, 0, -15, -6\/5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3959 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*t + 199 = -193 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-6))\/(((-31304)\/(-70))\/(-43)*10\/(-72))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 10911\/7804, 2\/7, -0.1 in ascending order.\nAnswer: -0.1, 2\/7, 0.5, 10911\/7804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002032 to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.935 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1332, -1334, -1336, -1338, -1340?\nAnswer: -1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*a - 1435 - 956 = -116 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least -2004\/8161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 + -1 + 0\/(-1). Let m be (-1873*(-3)\/(0 - 3))\/(-4). Let d = m + -463. Is d bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 5:20 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p**(-4\/19)*p*p**(-3\/8) assuming p is positive.\nAnswer: p**(215\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/5  (b) -4  (c) -0.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 287822677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 7*c + 1. Let n be (-2 + 4)*(-42)\/(-12). Determine m(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 8*p + 8 = 0. Factor 20*j + 22*j**2 - 12*j**p - 4 + 12*j**3 - 38*j**2.\nAnswer: 4*(j - 1)**2*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -497  (b) -0.5  (c) -0.16  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 30\/9 - (-6)\/(-18). Let z be (-2 - 2) + p + 5. Solve 2*g - 2 = -z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 + 21. Suppose -13*q + 16 = -m*q. Is 5 a factor of 50\/q*66\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-21)\/84 - 26\/(-8). Let b be (-561)\/(-154) + 1\/((-2)\/1). Is i at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 7:00 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 38425292 less than -0.06780893?\nAnswer: -38425292.06780893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -123 - -148.4. Let a = q + 0.6. Which is bigger: -1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 199\/3 + -67. Sort -1, -3, b in decreasing order.\nAnswer: b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -53*v - 16. Let f be m(-3). Let r = -52 + f. What are the prime factors of r?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - 5. Let z be (-9)\/n - 6\/21. Let h be 0 + 0 + 2\/15. Which is the nearest to z?  (a) -4\/9  (b) h  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10926 + (57\/9 + -5)\/(2\/(-9)). What is the greatest common divisor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*d**2*f**3*j - 10*d**2*f**3 - 13*d**2*f*j - 2*d**2*f - 2*d**2*j - 111*d*f**2*j + 17*f**3*j wrt f?\nAnswer: 84*d**2*j - 60*d**2 + 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 364 a factor of 179516644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3678 divided by 2\nAnswer: -1839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 8:08 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -4*x - 0, -5*x + 14 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -126375 + 0.3?\nAnswer: -126374.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.21 + -0.09. Which is the nearest to -1?  (a) p  (b) -3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 2*k - 3 - 4*k - k + 4*k + (1 + 0 - 2)*(4 - 4 + 2*k) - 3*k + k + k + (8*k - 17*k - 15*k)*((3 - 2 - 4)*(2 - 3 - 1) + 1 - 2 - 2).\nAnswer: -74*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 4*u - 12 = 0, 1 = 3*p + u - 8. Let o be (-3)\/(-6 + p) + 4. Suppose 0 = 3*k + 6, -k = o*s + 3*k - 2447. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 998*a**3 + 1006*a**3 + 4 - 2019*a**3.\nAnswer: -15*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + -87738?\nAnswer: -8773c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (82*-2 - -5)*(-603)\/(-1809)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1306.7 + -1306.7. Which is the smallest value?  (a) 0.042  (b) -9  (c) 5  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1493, -2984, -4475, -5966?\n\"Answer: -1491*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 4219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 + 217 - 40 - 42 - 44 - 37*y - 48.\nAnswer: -37*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 2*w - 1394, -5*s - 3*w + 3020 + 467 = 0. What is the common denominator of 71\/6 and 3\/(-15) - s\/(-40)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 150348, 3, 9 in decreasing order.\nAnswer: 150348, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 32 - 95 = 0. Let p = t - -25. Let z be p\/8*(0 + -2). Let i(u) = 18*u**2 + u. Determine i(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-3)\/s*s**(1\/4)*s*s)\/(s**(1\/4))**(-5))\/(((s*s**(-1))\/s)**18)**(-1\/40) assuming s is positive.\nAnswer: s**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25 - 510 + 121)*(-3 + 3 - 1)*(-1 + 1 + c).\nAnswer: 414*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7 - 30\/(-6)) + 3. Let m be (42 + -43)\/(t\/(-3)). Solve -2*x + 3*w = 13, m*w = -0*x + 4*x + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16818 - 16788. Calculate the remainder when 7499 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 37*(-20)\/(-5) - -3. Is ((-8)\/20 + w\/(-10))*-14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.41143 - 0.38857. Which is the fourth biggest value?  (a) -0.5  (b) -185  (c) j  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2*h + 14. Calculate the lowest common multiple of 6 and f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -28*z - 4. Let q be b(0). Let p(x) = -x**2 - 2*x - 2. Calculate p(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 take away 1.7610390041?\nAnswer: -23.7610390041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xvuv when four letters picked without replacement from xsxvwvuxyvyx.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 303 - 299 = 0, 3*m = -12*n + 13*n + 25 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 247 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 584\/(-219)*(-1)\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -4 + ((sqrt(198)*-3 + sqrt(198) - sqrt(198))\/sqrt(11))\/sqrt(6) + -3 + sqrt(3) + sqrt(147) + 5)*2)**2.\nAnswer: -80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 31129 + -4?\nAnswer: 31125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -133 + 75. Let t = -102 - b. Round t to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 711513029 to the power of 1\/3, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(640)*4 - (sqrt(80)*3)\/sqrt(2))\/((-3*sqrt(8) - sqrt(8))*-1 - sqrt(512)*-2).\nAnswer: 13*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -567, 12 in descending order.\nAnswer: 12, 1, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 425 or 427?\nAnswer: 425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -2*o + 11. Let s be j(7). Let w = 8 - s. Let u = -564 + 582. Solve -3*x = -c - w, c - 2 = 4*x - u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5721543, 11443083, 17164623, 22886163, 28607703, 34329243?\n\"Answer: 5721540*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -58, -50, -50, -58?\n\"Answer: -4*w**2 + 20*w - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 3*b**3\/4 + 53091*b**2\/4 - 451707*b\/2 = 0.\nAnswer: -17714, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 8 + 1 = -2*n, 0 = 4*v + n - 12. Let h(f) = -v + 0*f**3 - f**3 + 3*f**2 - f**2 + 3*f**2 - 5*f. What is h(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -3*z - 15. Let s be f(-10). Let n be ((-12)\/10)\/(-1*s\/400). What is the third derivative of -n*y**4 - 5*y**4 + 0 + 31*y**2 + 0 wrt y?\nAnswer: -888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(7\/4))*h*h\/h**(-1))\/(h**(-3))**(-1\/22) assuming h is positive.\nAnswer: h**(49\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of a**5\/20 + a**4\/3 + a**3\/2 + 2*a**2 + 5*a. Let m be r(-3). Suppose 0 = -v - m*v + 120. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -1.1  (b) -0.1  (c) -1\/5  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/1 + 34\/1. Which is smaller: 39 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g - 52 + 84 + 17*g - 37 in the form c + n*g and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2*o - 44 = 0, -16*u - 3*o = -14*u - 116. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -21398 and 9760922?\nAnswer: 9782320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*2*sqrt(77) - sqrt(77))\/(sqrt(11) + sqrt(44)*3) - (-4 + (sqrt(847) + 0 + (sqrt(847)*4)**2 + sqrt(847) - sqrt(847))).\nAnswer: -13548 - 68*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 349618201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbzbbgtbtztz. What is prob of picking 1 z, 2 t, and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d - 4*d + d)*(-1 + 3 - 3).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1865.14 + -1887.8879. Let f = i + 22.87. What is f rounded to 3 decimal places?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3625 - -3630. Solve 0 = 3*g + 6, -3*g + 18 = n*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 84499280 to the nearest 100000.\nAnswer: 84500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -2\/3, 1\/10, -1241?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - o - 4 = 0. Let y be 405\/21 - 8\/28. Suppose o + y = v. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from okwwwswwooss. What is prob of sequence oss?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 3*f + 26. Let s = 3 + -6. Let c = f + s. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*v - 5 = 25*v + l, -3*l = -5*v + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -12817*c + 5. Let z be j(1). Let d = 18557 + z. Suppose 4*a = -2*w - 153 + 4003, 3*w - 4*a = d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 5*q - 10, 0 = -5*q - 7 + 2. Suppose -10 = r - 3*w, -r - w + p*w = 12. List the prime factors of ((-4)\/(-6))\/(r\/(-114)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000436338925 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**2 + 12266*s - 37613689 = 0 for s.\nAnswer: 6133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/18*(-456)\/2660*66.\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24190.\nAnswer: 2, 5, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y**2 + 47*y + 72. Let v = -31 + 44. Calculate the remainder when v is divided by m(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/1 + -31 + -1. Let d = -6 - h. Suppose 3*z - 6*z = -d. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13 in -0.5, -1, -5\/12, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 7*h + 534 = -3*h, 6 = -2*h. Let p = g - 87. Suppose 8 = -4*t, -4*t + 16 = -n + p. Calculate the remainder when n is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((5 - 2 - 2)*(-5 + 4 - 1) - 49 - 87 - 122)*(2*o**2 - 2*o + 2*o) to l*o + q*o**2 + m and give q.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 + 14. What is the third derivative of 6*a**g - 3*a**2 - 3*a**2 + 5*a**2 wrt a?\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*p**3 - 69261*p + 27508?\nAnswer: -6*p**2 - 69261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 3*g**2 + g - 4. Let f be w(3). Is 11 a factor of f - (0 - 4 - 41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -5*z + 523, -309 = -z - 2*z + 3*r. Let p be (11\/88)\/(6\/z). Let q = -17\/6 + p. Which is the second biggest value?  (a) -1  (b) q  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/5 in 61, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3926.825 decades to years.\nAnswer: 39268.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -4*u**2 + 127*u + 24. Let y be j(31). 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: Suppose -2*g = 3*g + 15. Let k be g\/2*((-98)\/21 + 5). Let s = 0.05 - -0.45. Sort s, 4, k in decreasing order.\nAnswer: 4, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(sqrt(5) + sqrt(45)\/sqrt(9)) + (sqrt(18)*-2)**2.\nAnswer: sqrt(2)\/2 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 167710061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/208 and 45\/632.\nAnswer: 16432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-124)\/1550 + (1754\/50 - 3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 - w - 13683. Calculate j(-128).\nAnswer: 2829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 14 + 62. Is w\/(-40) + 5534\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-7)\/28*-8 - ((-399)\/(-86) - 3) and 91\/324?\nAnswer: 13932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 48 - 8 = 0. Let y be 4\/6 - g\/12. Suppose 0 = -2*n - 4*r + 16, -4*r = y*n - 9*r - 32. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t + 6. Let p(s) be the second derivative of s**3\/3 + 7*s**2\/2 + s. Let b(f) = -7*k(f) + 6*p(f). Let a(l) = -2*l**2. Determine a(b(v)).\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7.09 - 0.09. Let y = 6 - q. Let m = 6 + y. What is the smallest value in -4, m, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -179097 divided by 3?\nAnswer: -59699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -12*v**2 - 4. Let i(l) = 4*l. Calculate q(i(w)).\nAnswer: -192*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + 4*d**2 + 2*d - 5. Calculate j(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 h, and 1 u when three letters picked without replacement from nffhnunonnanaaunn?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19220 + 10852 = -22*m + 1340. Is -1303 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x - 11. Let u be w(-8). Let j = -14 - u. Suppose j*q - 106 = 189. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -130, -250, -370, -490, -610?\n\"Answer: -120*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.10952 + -79177\nAnswer: -79176.89048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*g = 3*m - 27*g - 601, 4*m = 5*g + 805. What is the remainder when 406 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.3  (b) 7  (c) -61  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 15440  (b) 10  (c) 18  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7 - -224a?\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 23408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (10\/(-8))\/((-13)\/52). Suppose 329 = -3*o + 3*h - c*h, -4*h = 3*o + 325. Let f = -71 - o. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1389 + -919. Let n = d - 138. List the prime factors of n.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11.819 + 16.819. Let m = -0.2 + 2.2. Let t = -2.01 + 0.01. Sort m, l, 4, t.\nAnswer: t, m, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v - v - 3*v + (1 - 3 - 2)*(-3*v + v + 3*v))*(v + v - 3*v) - 4 + 4 + 2*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z - 11*z + 6*z + (-2 + 4 - 1)*(8*z - z - z))*(-4*z**2 + 4*z**2 - z**2) + 2*z**3 + z**3 - 5*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4900379611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*-3*(sqrt(156) - 2*sqrt(156)*1))\/((5*(sqrt(588) - -2*sqrt(588)) + sqrt(588))*-3))**2.\nAnswer: 13\/12544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -1181*a - 1185*a + 623*a - 566*a - 778*a as y + l*a and give l.\nAnswer: -3087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 5*v**3 - 4*v**2 + 7*v - 7. Let y(d) = 2*d**2 + 3 + 5*d + 0*d - 4*d - 4*d - 2*d**3. Determine -3*x(g) - 7*y(g).\nAnswer: -g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*j + 27*j = 356. Let o be ((-156)\/(-780))\/(6\/j + 0). Factor o*w**2 - 44\/15*w + 242\/15.\nAnswer: 2*(w - 11)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(85)\/(sqrt(5) - sqrt(80)*1)*4 + (1 + 2*sqrt(2448) + 1)**2 + 5.\nAnswer: 284*sqrt(17)\/3 + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -29 + 9. Suppose -5*h + 5 + 38 = 4*u, 50 = 5*u + r*h. Which is smaller: u or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 6*(4 + -1*5*(sqrt(720) + 0)).\nAnswer: -360*sqrt(5) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 233 - 138. Suppose f = -3*p + 8*p. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 32*k + 36. Determine i(2).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*z**4 + 2*z**4 - 4*z**4 + (-3*z**3 + 3*z**3 + 6*z**3 + (z - z - z)*(-4*z**2 + 3*z**2 - z**2))*(-8*z + 4*z + 6*z - 3).\nAnswer: 8*z**4 - 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 28\/7*-3*(-2)\/8. Let q(f) = 4*f**2 + f. Let p(a) = 12*a**2 + 3*a - 1. Let z(h) = -2*p(h) + 7*q(h). Let j be z(2). Solve c = -x*c + j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 225 + -231. What is the hundreds digit of -6*(-3)\/n*(-548)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that v**3\/5 + 32534*v**2\/5 - 65071*v\/5 + 32536\/5 = 0.\nAnswer: -32536, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/3038 and 41\/1813.\nAnswer: 112406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/4  (b) 24.43  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -5*p**2 + 5*p + 4. Suppose 6 = 3*l - l. Suppose l*f = -2*f - 5. Let n be f - ((1 - -1) + -9). Let o(j) = -j**2 + j + 1. Give n*o(g) - q(g).\nAnswer: -g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 t when three letters picked without replacement from tptt.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 98 + -167. Let b = g + 110. What is the remainder when b is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 144 = -6*q, -2*s = 19*q - 778 + 1278 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38, 143, 318, 563, 878, 1263, 1718?\nAnswer: 2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 1 = 4*k - 33, m + 2*k = 11. Which is the closest to 0.2?  (a) -75  (b) 0.1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13403*o**4 + 365*o**3 + 68289*o**2 + 35.\nAnswer: 321672*o + 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 6*q**3 + 15*q**2 - q - 1. Let l be b(-4). Let h = l - -190. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 - 7*h**2 + 3*h - 16. Let l be c(7). Sort -1\/5, -3\/7, -2, l in descending order.\nAnswer: l, -1\/5, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 - 64*h**2 - 605*h + 328. Calculate v(-53).\nAnswer: 1494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(-v**3 + 5*v - 5*v) - 3*v**3 - 3*v + 7*v**3 - 2*v**3 + 5*v**3 - 2*v**3 - v**3 + (4*v**2 - 3*v**2 - 2*v**2)*(0 - 2*v + 0).\nAnswer: 8*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g - 18. Let x be q(-11). Suppose d - x = 21. Let j = 27 - d. What is the lowest common multiple of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**2 + 23*t - 18. Give a(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -567098 - 5*j + 567098 - 7*j**2. Let i(l) = -l - 2. Let r be i(-5). Let d(n) = -4*n**2 - 3*n. Give r*z(c) - 5*d(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, b: 7, u: 5}. Give prob of picking 2 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-69)\/(-462) + 1443\/10582?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 8*y**2 - 9*y + 5. Let i be k(-9). Suppose i*b - 4*o - 710 = 2783, -5*b + 2*o + 3489 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + 30. Let x(y) = y**3 + 2*y**2 - 3*y + 4. Calculate the least common multiple of x(2) and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**3\/4 + 409*c**2 + 29040*c - 122688 = 0. What is c?\nAnswer: -72, 4, 1704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11193 + 705170\/63. What is the common denominator of y and 9\/85?\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 6 + 4)*(-5*a + 4*a**2 + 5*a)*(-a**2 - 2 + 11 + 3).\nAnswer: -8*a**4 + 96*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of -1\/6*s**3 - 3\/2*s**2 + 1\/12*s**4 + s - 22. What is n(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 - 11*o + 11. Suppose -3 = n - 13. Let k be s(n). Which is greater: 1\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -78 + 81.7. Let o = b - 4. Let f = 5.6 - 6. What is the closest to 2 in o, 3\/8, f?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 83680568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -2*q - 8. Let j = -5 + 7. Let k be -11 - j*(-3)\/6. What are the prime factors of g(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-10 - -3 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -5*t - 2*h + 17, -3*t - 4*h = -14. Solve 2*j + t*c + 2 = 3*c, -14 = 4*j + c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*z**3 + 3*z**3 - 20*z**3 - 20*z**3.\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-17) + 15521\/(-3179)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0027882 to 5 dps.\nAnswer: 0.00279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 36355?\nAnswer: 36360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 2438*x - 2439*x + 9, -4*s - 72 = 8*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(4\/(-6)) + -9. Suppose 259 = 27*r - 25*r + 3*b, 3*r + 3*b - 390 = 0. Let l = r - d. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112346233?\nAnswer: 112346233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m - 6*m**2 + 2*m + 2*m**2)*(-3 - 6 + 3 + (3 + 0 - 4)*(-4 + 2 + 0) + 6 - 1 + 1).\nAnswer: -8*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -115933 or -115932?\nAnswer: -115933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15 and 673150.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of o**6\/18 - o**5\/6 - 5*o**4\/12 + 20*o**3\/9 - 10*o**2\/3 - 11*o + 10. Factor l(b).\nAnswer: 5*(b - 2)*(b - 1)**2*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 657 - -2189964.423.\nAnswer: 2190621.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(-15)*((-650)\/20)\/13.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*z = -15*z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -138\/55 + 54\/11. What is the biggest value in 5\/2, s, -3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 149 + 2922. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.04 + 0.03999916. Round r to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.8 + -0.2. Let s = -645 + 646.35. Let h = -1.25 + s. Which is the nearest to 1\/5?  (a) d  (b) -2\/7  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 8 + 28 = a, a = b - 4. Suppose 9*z - b*z + 310 = 0. Let j = 167 + z. Calculate the remainder when j is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -33958.335 to the nearest 100.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -3\/11, 0.3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - 1808\/(-64)) + (-6 - (-378)\/56).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2272 + 2268. Put u, 1, 5, -104 in descending order.\nAnswer: 5, 1, u, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1267398)\/(-9603) - 48 - 84\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 28 - 4. Let n be (-16)\/18*v\/(-8). Let b be -2 + 1\/(1\/2). Is b at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.564 - 0.164. What is the nearest to 0.1 in 0.11, y, 9?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/6)\/(1\/(-2)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**3\/2 - 3*v**2\/2 + 3*v + 4 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 207084849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -39*p - 120. What is the hundreds digit of y(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44290910 to the power of 1\/3, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 33 - 13, 5*r - 22 = -p. Suppose -3 = 2*q + 3*z, 3*q - p = z - 1. Solve k - 2 + q = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 645 and 1438866?\nAnswer: 7194330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 3374*q**2 + 3649*q**2 + 3650*q**2 - 14319*q**2 + 3644*q**2 + 1.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 != 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/28)\/(32\/(-112)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - sqrt(117)*-3)*4.\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6255.\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 59\/105 - (-2)\/(-15). Let v(c) = c**3 - 6 + 2*c**3 - 4*c**3 - c - 5*c**2. Let g be v(-5). Is d >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/13 + 81942\/39 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i + 2*i + 993*i**2 - 4*i - 743*i**2 in the form t*i + c*i**2 + f and give c.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -64, 108, 394, 794, 1308, 1936?\n\"Answer: 57*q**2 + q - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 4 + -5 + (5 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-28)\/(-12))*(-234)\/(-1040)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8278334.\nAnswer: 2, 197, 21011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3597 + (8 - (-21)\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 4 = -s, 0 = 2*i + 3*s - 16. Suppose -i*a = -21 + 1. Put a, -1, -3 in increasing order.\nAnswer: -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.9, 0.1, 7236, 2, -1 in ascending order.\nAnswer: -1, 0.1, 1.9, 2, 7236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddjjdjq. Give prob of sequence qddd.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5451?\nAnswer: 3, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of -t**4\/12 - 20*t. Let q(x) = -8*x**2. Calculate w(q(b)).\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3320*1.\nAnswer: -3320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1602782.\nAnswer: 2, 43, 18637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 - 4*b**2 + b. Let j be c(4). What is the second derivative of t + 2*t**5 + 5*t**5 - j*t**5 wrt t?\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -o**8\/336 + o**4\/8 - o**2 + 1. Let k(w) be the second derivative of v(w). Find the second derivative of k(n) wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a09512 (base 12) to base 3.\nAnswer: -101022221200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 - k**2 - k + 99. Give o(0).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/972 and -1\/198.\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of p**2 - 320. Let o(k) = -6*k**2 + 81*k. What is b(o(a))?\nAnswer: -12*a**2 + 162*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-10)\/w*w\/(w**(1\/3)\/w)*w**(-4)*w**(-8) assuming w is positive.\nAnswer: w**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -2 + -2 + 8 + (-2 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.173582 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 - 7*m**2 + 7*m + 3. Give n(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(420)\/(sqrt(10)*-2) + sqrt(42) + (sqrt(6048)*2 - sqrt(6048) - sqrt(6048)) + sqrt(6048))\/((1*-1*sqrt(66) - sqrt(66))\/(sqrt(704) + sqrt(704)*2)).\nAnswer: -150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 smaller than 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2*f - 275 = 2*w, 3*f - 5*w = 165. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 677 divide 4330769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11 - -21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + 145. What is the remainder when d is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -24 - 56. Suppose -2*h + v = 3*s, -4*h + 2*h = s - 12. Calculate the least common multiple of 7 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-34))\/(52439\/(-43486))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -272 times 0.0714976?\nAnswer: -19.4473472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of -23*c**6\/40 + c**5\/30 + c**4\/24 + 9*c**2. Let z be d(-1). Calculate the highest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 112204032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8\/3271 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(1539) + -4*sqrt(1539) + -5 + sqrt(1539) + (1 + sqrt(1539) + -2 - sqrt(1539))*-1 + 2)**2.\nAnswer: 144*sqrt(19) + 6172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80830 is divided by 8973.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42500 and 4488?\nAnswer: 2805000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 422 + -240. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 4*w = 0. Let d be 3 + -3 - (-2 + w). Suppose 2*a + c - 1 - 3 = 0, 0 = -d*a + c + 4. What is the smallest common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 586 less than 9981\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30 + -18. Let z be (-8)\/f*(-3 - 0). Which is the nearest to 0?  (a) 0  (b) z  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = -4*d + 33, -49343*d - 42 = -49348*d - 2*w for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 61 or 2476\/41?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -1. Let j = -8114 + 24341\/3. What is the nearest to 1 in 1, u, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3933605253 to the nearest integer?\nAnswer: 62718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 72 and 1344?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34 + 33. Which is the biggest value?  (a) 3\/5  (b) q  (c) 2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1431*t**3 + 1 - 1434*t**3 - 1.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204) + -4*sqrt(204))*4)\/(sqrt(84)\/sqrt(7)*6)*-6*2.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 16, x: 2}. What is prob of sequence xhh?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 4*h = -1000 - 506, 2*h = -4*l + 2982. Let j = 1681 - 2021. Let r = j + l. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231404 (base 8) in base 4?\nAnswer: 103030010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.49 and -27356.\nAnswer: -13404.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 2*c - 36. Suppose 9*b - c = 9. Suppose 0*f + 2*f = -b*d, 5*d + 25 = 5*f. Solve 0 = r + 4*h + 3, -13 = -f*r - 0*h - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29 + (48 - 102) + -19\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10*0.1375\nAnswer: 1.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - j - 1 + (2 - 1 + 0)*(-148*j - 127*j - 409*j).\nAnswer: -685*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-165*p - 31 + 10 + 22)*(1 + 0*p**2 + 1 + 2*p**2).\nAnswer: -330*p**3 + 2*p**2 - 330*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1099\/3 or 365?\nAnswer: 1099\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*3*5*sqrt(2057) + (-5*sqrt(1377) - 5*sqrt(136)\/sqrt(8)).\nAnswer: -875*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -5*b**2 + 293*b + 1062. Give s(62).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -d + 4. Suppose 10*u - h + 12 = 5*u, u + 4*h = -d. Let o(a) = -3*a**2 + 1 - a**3 + 1 + 2. Calculate o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.7*-33222\nAnswer: 222587.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 126\/(-1197) - 22\/(-209). Factor b + 2\/3*h + 1\/9*h**2.\nAnswer: h*(h + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -46043 + 5?\nAnswer: -46037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i**2 - 787*i - 147 = 0. What is i?\nAnswer: -49, -3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1072462.\nAnswer: 2, 17, 31543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 + 13*d + 4. Let k be s(10). Let l be (-4)\/k + (-6)\/(-51). Let y(m) = m + 79. Is y(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 967, 3895, 8773, 15601, 24379?\nAnswer: 35107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, d: 4, v: 1, y: 3, b: 2, h: 1}. Give prob of sequence by.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 128*g - 96. Let v(n) = 6634*n - 4991. What is -155*m(k) + 3*v(k)?\nAnswer: 62*k - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/7 at least as big as -5026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7048303?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 28*z + 3. Suppose 8*c + 20 = 3*c. Let t be k(c). Let l = 655\/6 + t. Is 0 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2*p + 12 = 0, -2*p = 2*a - 20 + 6. Suppose -62 = -a*r - 4*i, -4*r - 5*i = -r - 96. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30870 by 1029.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -30. Let d = -16 + v. Is 112 + d\/(-3)*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -54460, -218222, -491160, -873274?\n\"Answer: -54588*f**2 + 2*f + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -i**6 + 947*i**4 - 157*i**2 wrt i?\nAnswer: -120*i**3 + 22728*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1334786 is divided by 364.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**3\/9 + 26932*j**2\/9 - 4179338*j\/9 + 1384136\/3 = 0. What is j?\nAnswer: 1, 156, 13309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -117*n*q**2 + 212*n*q + 9*n + 4*q**2 - 9*q - 599977 wrt q?\nAnswer: -234*n*q + 212*n + 8*q - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2916831*m**6 - 7898339*m**2?\nAnswer: -350019720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8228805 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -2 - (-3 + -11 - -17)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -631400 + -422?\nAnswer: -632122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + l**3 + l**3 - 3*l**3)*(12 - 12 - 8*l).\nAnswer: 8*l**4 - 40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 676755.2 nanograms in kilograms?\nAnswer: 0.0000006767552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 + 1\/(-11)*43. Sort 4\/5, 4\/7, q in descending order.\nAnswer: 4\/5, 4\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8283034 to the nearest integer?\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 divided by 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c**3 + 70*c**2 - 458*c + 1839. What is m(28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -8*l - 16. Let b(v) = -7*v - 17. Let u(n) = 3*b(n) - 4*w(n). What is the first derivative of u(y) wrt y?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence udt when three letters picked without replacement from ubduytduttyttdtu.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 298532 and 31980?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*p - 22*p - 6*p)*(-31 - 18 - 44).\nAnswer: 3348*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*p - 2*p**4 + 2\/3*p**5 + 2*p**3 + 0 - 2\/3*p**2.\nAnswer: 2*p**2*(p - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 5574.2.\nAnswer: -557.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 902408447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52803.22nm to millimeters.\nAnswer: 0.05280322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 23 + (-82 - -151) + -86\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-7)*f*f\/(f**(-5)*f))\/(((f*f*(((f**(-2\/13)*f)\/f)\/f)\/f*f)\/f)\/f**(2\/5)) assuming f is positive.\nAnswer: f**(-29\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8847 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (1741\/(-3))\/(5\/(-15)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**5 - 8653*h**4\/5 + 493177*h**3\/5 - 2760511*h**2\/5 - 407428*h + 1225196\/5 = 0. Calculate h.\nAnswer: -1786, -1, 2\/5, 7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-7) + 18\/14. What is the closest to -0.3 in t, -0.3, 10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-4\/5)*c)\/(c**(-5)*c)*((c*(c**(-3\/10)\/c)\/c)\/c)\/(c\/c**13) assuming c is positive.\nAnswer: c**(139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-20)*(24\/(-4))\/(-2)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 297 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/14 - (-297)\/(-574). Let r = -2\/2419339 - 2888690192\/694350293. Let q = r - a. Find the common denominator of q and 11\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.2 and -0.533759442.\nAnswer: -0.333759442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 - r + 7 - 2*r**2 + 13)*(r + 2*r + 3 + 0).\nAnswer: -6*r**3 - 9*r**2 - 6*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*n**3 + 70*n**2 - 47*n**2 - 23*n**2.\nAnswer: 55*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + -2. Let i be (-12)\/(-90) + 2\/10. Put 1, p, i in decreasing order.\nAnswer: 1, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 47878.968.\nAnswer: -9575.7936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 5 = 2*y + 4*o, -5*y + 4*o = 20. Is 22 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -32809956 at most -32809953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91) - (sqrt(91) + -1*sqrt(91)*2))\/((-1*sqrt(49))\/sqrt(7)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y - 6 = 2. Let a(l) = 11*l + 2. Let f be a(y). Calculate the remainder when 34 is divided by 0\/(-5) + (f - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-31)*(t**(5\/8)*t)\/t)**(-43) assuming t is positive.\nAnswer: t**(10449\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 34*k**3\/11 + 70*k**2\/11 - 98*k\/11 - 6\/11 = 0. What is k?\nAnswer: -3, -1\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 4*j + 23, 425*j + 50 = 420*j - 2*p for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2. Let i(d) = 85359*d. Calculate t(i(r)).\nAnswer: 7286158881*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -f**3 + 15048*f**2 - 480327*f - 2777960 = 0.\nAnswer: -5, 37, 15016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67611?\nAnswer: 3, 31, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of c**2\/2 + 5*c + 1. What is the smallest common multiple of 44\/6 + 1\/(-3) and y(4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 161 divide 1896996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21333222 - -1?\nAnswer: 21333223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 85 - -50. Let d be (4\/(-14))\/((-5)\/(-35)). Let i be d\/(-4) - (5565\/(-14))\/15. What is the highest common divisor of q and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34404 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 172 = -35*m. Suppose -2*r + 4 = -3*h + 1, 18 = m*r - 2*h. Suppose 4*i - 5*d - 23 - 42 = 0, 3*i + 4*d = 10. Solve -i*o + r*o = 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -25*h**2 - 8*h - 12. Let m(d) = -18*d**2 - 6*d - 9. Determine -2*b(f) + 3*m(f).\nAnswer: -4*f**2 - 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 2. Suppose 2*s = 11 - r. Suppose 4*h + s*q + 476020 = 0, h + 2*q + 42376 = -76632. What is h rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 10*o**2 - 75*o + 770. Calculate the lowest common multiple of 1155 and y(11).\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103941 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*o - 5*o - 2 - 6 + (0 + 1 + 0)*(-o + o + 2*o) to the form p + r*o and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7 - -3*8\/(-6). Suppose -x*a - a = -88. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -4*g - 10. Let f be j(-4). Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 19 = c, 20*q = 18*q + 4*c - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -23568.5575 rounded to the nearest 10?\nAnswer: -23570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/2144 and 1\/40.\nAnswer: 10720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3274.2 - -3581. Let n = v - 307. Sort 0, 2\/11, 4\/7, n in descending order.\nAnswer: 4\/7, 2\/11, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (464\/(-87))\/(1\/(-3)). Let s be (-18)\/(-24) + (3 - (-212)\/m). Let i(p) = -2*p**2 + 36*p - 7. Calculate the lowest common multiple of i(s) and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 + z**3)*(-2*z**2 + 0 + 0) + z - z**5 - z)*(4 - 3 + 1 - 1 + 4 - 6 - 3 + 1 + 3 + (1 + 0 + 0)*(4 - 5 - 1) + 2 - 3 + 0 + 3 + 2 - 3 + 2 - 1 - 6).\nAnswer: 18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3759 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5 is divided by 1*-2*(1 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*h + 59 + 97 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.37 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -70 - -72. Let t(w) = 3*w**2 + 11*w**2 - 8*w**j. Let b(m) = -4*m**2. What is t(b(h))?\nAnswer: 96*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 AM and 3:06 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -3*n - 1. What is b(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 194 + -199. Let i be -1*-1*(x + (2 - -4)). Let v(u) = -u**2 + u - 1. Let m(t) = -6*t**2 + 8*t - 5. What is i*m(b) - 5*v(b)?\nAnswer: -b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -168*b**2*d**3 + 3104*b**2*d - 4*b**2 - b*d**2 + 2*b - 2*d**3 + 14*d**2 + 2*d wrt d.\nAnswer: -1008*b**2*d - 2*b - 12*d + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(112)*2*5 + (-6*(sqrt(112) - (sqrt(112) - (sqrt(112) + 1))) + sqrt(112) - (2 + sqrt(112) + 0)))*-5 + -1)**2.\nAnswer: 102960*sqrt(7) + 12198321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 86.2027 and -545.75.\nAnswer: -459.5473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 - 5*z**2 - 1. Calculate k(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 982372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 24 in 3, -0.022, -2.359?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -86344.40807 to the nearest one thousand.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -ab6b8 (base 13) to base 8\nAnswer: -1137236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 176\/96 + 4*15\/(-36)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 45 = -5*g - k, -5*g + 40 = 4*k. Solve 1\/3*p**3 + 0*p + 0*p**2 - 1\/3*p**g + 0 = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2071123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence udu when three letters picked without replacement from {d: 4, u: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 445155 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 0*x - 7 + 7 - 2*x. What is the units digit of t(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + (sqrt(1377)*-2*-2 - (sqrt(1377) + -5 + 1 + sqrt(1377))) + 0 + -4 + 4)*-6)**2.\nAnswer: 10368*sqrt(17) + 200592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from lvshvsvhlssvvihlhw.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 432766?\nAnswer: 2, 151, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -434*h - 115. What is the tens digit of q(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 106 + -108. Let b be g + 2 + 8 + (-8)\/(-2). What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*s**6 + 1862*s**4 - 9*s**3 - 19*s**2 - 88813*s.\nAnswer: 240*s**3 + 44688*s - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, 21, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 8:57 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11643511 and 10585010?\nAnswer: 116435110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25323 divided by 50.\nAnswer: 25323\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - 20*z**2 + 85*z + 1337. What is y(-21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67243 is divided by 61?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 47466 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: Suppose u + 3 = 5*k, 2*u = 4*k - k + 1. Solve -u*y + 16 = 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17454*o**3 - 3 - 8708*o**3 + 727*o**4 - 133*o - 8746*o**3 wrt o.\nAnswer: 8724*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -3*s + 7 + 87, -149 = -5*s + d. Suppose 0 = 28*z - s*z - 10. Which is smaller: 3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yo when two letters picked without replacement from dhodydh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 5*t**3 - 2*t**2 + 3*t - 18. Let y be x(3). Calculate the greatest common factor of y and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, -1\/4, 1\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -47986*z + 18843.\nAnswer: -47986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 197809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 1341 divide 7984314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**4 + 4*i**4 - 4*i**4 + (-2 + 2 - 2*i**4)*(2 - 2 - 2) + 5*i**3 - 5*i**3 - i**4 + (4 - 3 - 2)*(0*i**4 - i**4 - i**4).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a - 3. Let v be o(-5). Let x(k) = -12*k**3 + 1. Let c be x(v). Let w be 2 - c - 2 - 18\/(-18). What is w rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 5*s - 741 = 3405, -2*m + 4*s + 4164 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 15, -4\/3, -3201, -0.3, -2, -5, 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m + 11*m + 144 = 0. Let z = m - 45. Suppose -5*w + 4*c + 15 = -c, z*c + 3 = 2*w. Solve -5 - w = 5*t + 2*g, -3*t = -5*g + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-1)\/(0\/(-2) - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 3\/2, -4, 100, -1\/2 in ascending order.\nAnswer: -4, -1\/2, 3\/2, 23, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 - -1)\/(3\/(-87)). Suppose -4*k = -7*k + z. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-15 - -5) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rsfrwfffrwrwfrfrrss. Give prob of sequence rrrw.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 - -20. Suppose -2*x = m*w - 472, 4*w + x = -w + 1192. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147430 is divided by 5113?\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(-6)\/(-45)*(29 - (-333487)\/(-11468)).\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 9*g + 1. Let t(m) = 62*m - 121. Let y be t(2). What is f(y)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108*z**2 - 2*z**2 + 12*z**2 - 19*z**2 - 77 + 77.\nAnswer: -117*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 2*r - 4*r - 12, 0 = 3*v - r - 1. Let o be -13*((-5)\/v + -4). Let q = -11 - o. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((30625\/450)\/(-175))\/((-64)\/72)?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-28)\/(-8))\/((-1)\/(-4)*-2). Let o = -41 - -24. Let r = o - -15. Sort b, -5, r in descending order.\nAnswer: r, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1739000 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**13*w)**(-16)\/(w**13*w)**(2\/35) assuming w is positive.\nAnswer: w**(-1204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + -4)*2\/4. Let h = 1565 - 1564. What is the nearest to h in -1, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**0)**(-2\/3)*s\/(s**(-7)*s)*s**(-3)\/s)**(2\/31) assuming s is positive.\nAnswer: s**(6\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 57 - -51. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.9302, -0.07, 29, -2, 1\/5.\nAnswer: -2, -0.07, 1\/5, 1.9302, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -3*o**4\/5 + 6*o**3 + 123*o**2\/5 - 1206*o\/5 - 1296\/5 = 0.\nAnswer: -6, -1, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {x: 1, t: 1, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that g**4\/9 + 2102*g**3\/9 - 68227*g**2\/9 + 130144*g\/9 - 21340\/3 = 0.\nAnswer: -2134, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 60 - -2?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/6)\/y**7)**44 assuming y is positive.\nAnswer: y**(-946\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(4\/(-2))*76\/(-76).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 19*n + 94. Which is the third biggest value?  (a) n  (b) -0.08  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 4)*(-5*g**2 + g - g)*(11 + 1 + 7)*(7*g**2 + 9*g**2 + 4*g**2).\nAnswer: 7600*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3197992*k**4*n**2 - 3*k**2*n**2 + 6255462*n**2 + n wrt k.\nAnswer: -12791968*k**3*n**2 - 6*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, 10758859 in decreasing order.\nAnswer: 10758859, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*u**4 - 1065*u**3 + 8781*u**2 + 24957*u - 32670 = 0. Calculate u.\nAnswer: -363, -3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*q - 3*q + 3*q + 2*q + 2*q - 6*q - 1 + 1 - q + (0 - 1 + 0)*(2*q - 2 + 2) + 1 - q - 1 - 1 + q + 1)*(5*q**4 + 55 - 55) + q**5 + 0*q**5 - 3*q**5.\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6020 and 1.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 19*s**2 - 35*s + 1. Let k be o(-17). Suppose -h - k = -36. Which is the third biggest value?  (a) 2  (b) 0.1  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -11*c + 5. Let k(q) = -6*q + 3. Let g(o) = 3*i(o) - 5*k(o). What is g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 - 9 + 4 + 7*l - 2*l**2. Let q be r(6). Let s be (-2 - q)*75\/(-9). Solve 5*y + 0 - s = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7)\/(28\/432)*2\/(-3). Suppose -4*n = 4*k - 428, 2*k - 4*n - 124 = t. Let f = k - -159. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**1\/o)**34*o*o\/o**2*o\/((o**(-5)*o)\/o) assuming o is positive.\nAnswer: o**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 5, 106, -5, -3.\nAnswer: -5, -4, -3, 4, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0175489785 to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -12, -3, 6, 15, 24?\n\"Answer: 9*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*m - 244 = -886 - 1600 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 5:29 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1326*s**5 + 275*s + 221*s + 276*s + 240*s wrt s.\nAnswer: -26520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 0*g = 0. Suppose g*q - 2*q + p + 7 = 0, -q = 4*p - 8. Factor j**3 - j**2 - q + 4 + j**4 - j**5.\nAnswer: -j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + 3. Calculate the remainder when q is divided by 3\/2 - 6\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3360 = -10*x - 5*d + 3305, 2*d = -10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (20\/150)\/(4\/(-6)). Let t = -11 + 107\/10. Which is the second biggest value?  (a) i  (b) t  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -53757358.7 rounded to the nearest one million?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 509290087 to the power of 1\/2, to the nearest integer?\nAnswer: 22567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 - 6)*(-3 + 0 + 1)*(-14*g + 10*g + 6*g + 78).\nAnswer: -4*g - 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 + 53*a - 5. Suppose 0 = 22*h - 43*h - 1197. Is v(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.34 + -43.66. Let b = x + 51. Let n = -7.00002 + b. Round n to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.0074  (b) -4.8  (c) -8.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 + 13*j**2 - 10*j + 7. Let s be a(10). Suppose 3*q = 3*g + s, -q + 5*g - 110 = -3*q. Suppose 2*r - q = -13. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 16 - 10 = 0. Are -14 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + -8.4. Let k = -0.37 - d. Let v = k - -0.07. Is 0 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4599599, 4599599, 4599601, 4599605, 4599611, 4599619, 4599629?\n\"Answer: l**2 - 3*l + 4599601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000883274 rounded to 6 dps?\nAnswer: -0.000883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 5016*k - 1311. Let c(r) = -23*r + 6. Let d(i) = -874*c(i) - 4*v(i). Let n(t) = -187*t**2. Calculate n(d(b)).\nAnswer: -270028*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 84785 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: Calculate the smallest common multiple of 7215 and 268953.\nAnswer: 17481945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25983558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -352*t + 7832 - 7832 + 118*t as d + u*t and give u.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11001517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 1*sqrt(272) - (sqrt(816)\/sqrt(3) + sqrt(1088)*-1)**2) + 0.\nAnswer: -276 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*b = -26*b + 25. Let p be -1*2\/b*(-7810)\/(-44). Is p < -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 4*b**2 - 5*b + 1. Let q be i(-5). What is the second smallest value in -4, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 5*p - 1. Let u be (-3)\/(-6) + 177\/6. Suppose -12 = 2*y - 2*b, 4*b + 11 - u = -y. Let l be t(y). Which is smaller: l or -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2508961879\/4470 + 561289. Find the common denominator of o and -17\/2682.\nAnswer: 13410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 660, 4, -0.1, -4 in descending order.\nAnswer: 660, 4, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of i**5\/20 - 7*i**4\/12 + 4*i**3\/3 - 5*i**2\/2 + 30*i. Calculate u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 17, j: 2}. What is prob of sequence mj?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**4\/2 + 11*m**3\/2 - 33*m**2\/2 + 37*m\/2 - 7.\nAnswer: -(m - 7)*(m - 2)*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28 - 28. Suppose 58 = 4*c - 2*r, s = -3*r + 1 + 2. What is the remainder when 117 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2 + 13833848*m - 27667680.\nAnswer: -4*(m - 3458460)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -79, -239, -545, -1045, -1787, -2819?\nAnswer: -4189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f**2 - 6*f + 14*f**2 + 0*f**2 - 27*f**2 as i*f**2 + k*f + u and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 + 3*t**3 - 2*t**3 - 2*t + 3*t. Let b(v) = 2*v**3 + 14*v**2 - v - 8. Let o be b(-7). Let f(z) = 2*z**3 + 5*z**2 + 5*z. What is o*f(l) + 5*y(l)?\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(-2))**(2\/73)*(z\/z**(-9))\/z**10)**(-43))**(-10\/13) assuming z is positive.\nAnswer: z**(-1720\/949)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3 - 68450*h**2 - 4*h + 273800.\nAnswer: (h - 68450)*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -3 + 2*s + 3. Let o(z) be the first derivative of z**5\/60 - 12*z**2 + 11. Let g(f) be the second derivative of o(f). Calculate n(g(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -116 + 109 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8a + 47?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21013 + 1102223?\nAnswer: 1123302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000136 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 + 4*t**2 - 5*t. Suppose 40 = -6*j + 52. Suppose -j*d - 10*d = -36. Let y(s) = -3*s**2 + 4*s. Give d*z(i) + 4*y(i).\nAnswer: 3*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(3\/2)*j**(1\/9))**(-21) assuming j is positive.\nAnswer: j**(-203\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-1)*(-44)\/66. Let c be 3\/(-6) - (-46)\/g. What is the derivative of -r**2 + 16 - 14 + r**2 - c*r**4 wrt r?\nAnswer: -44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 30*n**3 + 3*n**2 - 2*n + 14. Is b(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 10:51 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-60)*-3*3\/6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-9) + -115*(-2)\/30. Let j be -3 + 8\/2 + 1. Suppose -j*y + 15 = y. Solve -3*n - p = -3*o + 2*o, -y*n = 4*o - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1979\/205590 + -1\/1869. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 80 and (-969)\/(-51) - (0 + 7).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of -w**2 + 2. Let v(y) = 16*y**2. Calculate r(v(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6480488 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 201\/7 + (-2)\/(-7). Let q = -12 + h. Suppose -5*n + 4*n + q = 0. Calculate the remainder when 49 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**2 + 5*s**2 - 7*s**2 + 4*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -48 + 69. What is the highest common divisor of 147 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f = 4*d + f + 19, -5*f = -4*d - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 183 - 39. Let y = -63 - c. Solve -5*i + y = -2*i - 3*v, 3*i + 7 = -5*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ucm when three letters picked without replacement from uemewemeec.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + 0 + -1 - -3. Suppose 4*v = v + 2*h + 37, u*v = h + 51. Suppose -51*r + 52*r = 45. What is the remainder when r is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 - 4. Let t(n) = -2*n**2 - 9*n + 2. Let g(z) = 3*z**2 + 15*z - 5. Let w(y) = -3*g(y) - 5*t(y). What is 5*a(o) + 4*w(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 3*u + 19, -3*l - l = 4*u - 28. Solve 25 = -5*w - 5*h, l*w = -h - 2 - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2779 - -5477. Let h = 3990 - d. What are the prime factors of h?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34444375?\nAnswer: 5, 7, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - u**2 + 1. Let p be d(0). Let x be -2 + (2 - (p + -1)). Suppose x = -2*i + 3*i. Solve 2*j - 3*a + 8 = -i*j, -3*j + 3 = 3*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8539, 8579, 8619, 8659, 8699, 8739?\nAnswer: 8779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9118490938.\nAnswer: 2, 29, 41, 61, 62861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*c**3\/5 + 36*c**2\/5 + 37*c\/5 - 6\/5.\nAnswer: -(c - 6)*(c + 1)*(7*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 154282405 to the power of 1\/2, to the nearest integer?\nAnswer: 12421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (130\/52)\/(2\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -78*s**3 + 78*s**3 - 5*s - 2*s**5 + (s**2 + 3*s**2 - 2*s**2)*(-5*s**2 + 3*s**3 + 5*s**2).\nAnswer: 4*s**5 - 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 154 - 6*h**3 - 322655*h**2 + 322655*h**2 to u*h**3 + n + o*h + i*h**2 and give n.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 83945 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (8\/(-22) - 0) + 2 and -7\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 2 - 12. Let w(n) = -5*n - 3 - 3*n + h - 3. Let t be w(-4). 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 y = 29 - 11. Calculate the remainder when y is divided by ((-28)\/(-4) - -1) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180 a factor of 18305998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-24)\/16 + 73\/54)*-3. Let l(x) = 2*x**3 + 2*x + 1. Let j be l(-1). What is the closest to d in -2\/5, j, -5\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 3*u = 12, 3*s - 4 = -0*s - u. Let d(t) be the third derivative of t**5\/60 + t**4\/24 + 7*t**3\/3 + t**2. What is the tens digit of d(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1037, 1003, 953, 887, 805?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 0*n + 10 = 2*n, -14 = -4*p + 2*n. Let c = 4 - p. Solve 4*b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2546 = 11168*a - 11034*a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -11*s**3 - 14*s**2 - 15. Is a(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3962 and 18228266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from foooufuufefueufoeofw. What is prob of sequence ou?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmk when three letters picked without replacement from bmmbmbkm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 2*k. Let p(s) be the first derivative of 0*s**2 - 5 + 4*s + 11\/6*s**3. Let t(z) be the first derivative of p(z). Calculate t(c(r)).\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -722.81 - -723. Sort 1, s, 0 in decreasing order.\nAnswer: 1, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 20 = -4*w. Let k be (2 - 4)*6\/w. Is k at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by 55.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9591\/95 or -101?\nAnswer: -9591\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + -15. Let d(k) = -k**3 - 4*k**2 + k - 2. Let j be d(c). Calculate the remainder when 11 is divided by (-2 + (-3)\/(-2))*j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (86 - (26 + 30)) + -18\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*t + 696959 = 53122. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3\/5  (b) -26\/7  (c) 61  (d) 12\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5*5\/((-25)\/(-2)). Suppose -10 = i*y - 0*y + 2*o, -3*o - 15 = -2*y. Suppose -r**4 + 0 + y*r**3 - 1\/2*r + r**2 + 1\/2*r**5 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from vvm?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = k - 0. Let y(j) = -j**2 - 6*j + 6. Is y(k) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -2*o + 7, o - 6*o = 3*s - 45. What is the greatest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 172?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 57 = 5*v, 4*j = 19 - 3. Solve 2*z = -p + z + v, -4*z + 26 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**4 - f - 1. Let p(v) = 56*v**4 + 5*v**3 - 52*v**2 + 2*v + 4. Let n(q) = 2*b(q) + p(q). Find the third derivative of n(h) wrt h.\nAnswer: 1392*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*q + 5*j, 2*q - 3*j - 6 + 0 = 0. Let k = 9 - 9. Suppose 0 = -k*f + 3*f - 6. Solve q*y = -f*y + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 14 = -5*n - 1, -2*n = -5*x + 33. Suppose 2*t = -x*b + 18, 4*b - t - 2*t + 4 = 0. Solve -10 = b*q - 5*v, 0 = -3*q + 2*q + v + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -180*f - 12*f**2 + 9*f**2 + 180*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-26)\/(-28))\/(10\/90) and -77\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1243 - -1243. Which is bigger: -890 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 121 - -226146?\nAnswer: 226300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 975 and 556257000?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -9*g**3 - 33*g. Let f(q) = -28*q**3 - 98*q. Let x(l) = 11*a(l) - 4*f(l). What is the second derivative of x(w) wrt w?\nAnswer: 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 6*q = p - 14, 3 = -3*p + 3*q. Suppose -2*s + 8 = 3*l, 3*s - s - 12 = -p*l. Let n be s\/4 - 6\/(-12). Solve -3*c + 17 = 5*d, d + c = n*d - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.5 - -0.3. Let m = 57451 + -57451. Which is the second smallest value?  (a) -1  (b) m  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*c + 3 + 57. Let d be ((-2)\/c)\/((-13)\/(-130)). Suppose -178 = -d*q + 4*a - a, -3*a = -3*q + 273. List the prime factors of q.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-198*l + 278*l - 80*l + 5*l**3 + 29*l**3)*(l**2 - 3 + 3).\nAnswer: 34*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -406.6 + 406.5. Which is the closest to 0.01?  (a) l  (b) 1  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (135\/36)\/(1\/4). Let j = d - 13. Solve 0 = -j*h + 4*t - 6, 3*h + 3 = -4*t - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 86*r. Let c(n) = 4*n**2. What is h(c(k))?\nAnswer: 344*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10733786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 24 = -3*t, 0 = 4*t - 0*b + 3*b + 27. Suppose -3*x - 2 = k, 5*k + 11 = 3*x + 1. Suppose x = -3*m + 6*m. Do t and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {h: 6, z: 1, s: 2, j: 5, w: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 144, 64, -76, -312, -680, -1216?\n\"Answer: -6*i**3 + 6*i**2 - 56*i + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of 11*x**4\/12 - x**2\/2 - 9*x + 1. Let a(f) = f**2. Calculate q(a(v)).\nAnswer: 11*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 14*j**2 + 5*j - 8. Let t be ((-36)\/(-16))\/(12\/32) + -3. List the prime factors of c(t).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -440.5 - -316.44. Let z = -159 + 33. Let j = l - z. What is j rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -14069, -14076, -14089, -14108, -14133?\n\"Answer: -3*s**2 + 2*s - 14068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -649*z**2 + 331*z**2 + 315*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5786491132?\nAnswer: 2, 1453, 995611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -42 - -64. Let l = 3306898\/5 - 661380. What is the second smallest value in -0.2, x, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5643, 22903, 51771, 92247?\nAnswer: 144331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-175)\/(-42)*6\/(-20)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-seven fifths of a kilogram in grams?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*g + 80 - 8 = 0. Let w be 54\/10 + ((-48)\/30)\/g. Solve -t = -4*j - 6*t + 10, 0 = -w*j - 4*t + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -21\/2*d**3 + 3\/2*d**4 + 24*d + 0 + 12*d**2 = 0. Calculate d.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 - 6*v - 4. Let r be k(-4). Let y(c) = -1. Let a(q) = q - 6. Let z = -2 - -1. Let g(t) = z*a(t) + 6*y(t). Calculate g(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 526218482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -13, -3, 11, 18 in ascending order.\nAnswer: -13, -6, -3, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + -7. Let t = 9 + r. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7\/11 + 13\/55. Let j be (426\/6 - -5)*1. Let s = j - 77. Which is greater: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7  (b) -0.33  (c) 5  (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*m + 321*m + 134 = -177*m - 2362 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -600*p**2 + 156*p**2 + 59*p**2 - 275*p**2.\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-272)\/(-816))\/((-1)\/3). Let h = 3 + -16\/5. Suppose 0 = r - 5*s + 15, 5*r + 22 = -2*s + 1. What is the third biggest value in 4, o, h, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.4 + 1.5. Let x = -1.900088 + s. What is x rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -72 - -79. Suppose x*s - 5*s + 388 = q, 4*s + 8 = 0. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*694\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39 (base 10) to base 5.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -97*a - a**2 - 69*a + 166*a. Let z(c) = c - 2334. What is z(p(q))?\nAnswer: -q**2 - 2334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 55, 9, 136, 2 in ascending order.\nAnswer: -5, 2, 9, 55, 136","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 65 - 77)*(-2*m - 24*m - 6*m).\nAnswer: 4800*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/150*5)\/((-6)\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 - 25*w**2 - 44*w + 48. Let i be l(-23). Calculate the greatest common factor of 4 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-266)\/(-21) + 2\/6. Suppose -4*t + z + x = 0, 7 + 3 = -2*z. Solve 0 = -2*j + 6*j - 3*u - t, 2*j - 10 = -3*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -525 - -535.984. Round y to 1 dp.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7.0206 < 3.117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 282994048*w**3 + 87868038*w**2 wrt w.\nAnswer: 1697964288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-3\/5)*n)\/n**(6\/7))\/(n**(-4)*n**(-10\/7)) assuming n is positive.\nAnswer: n**(209\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 110*-33*(-6)\/990.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 26*i + 10. Let b(s) = 25*s + 10. Let y(f) = 4*b(f) - 3*q(f). Let n(t) = -53 + 0*t + 171 - 58 - 59 + t + 0*t. What is 10*n(u) - y(u)?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 0. Let i = 152 - 159. Put -3, i, -1, z in descending order.\nAnswer: z, -1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(7) + 1) + 2 - 4*sqrt(21)\/(sqrt(3) - sqrt(48)).\nAnswer: 3 + 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/3 of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -1. Let p(y) = -2*y**3 - y + 28. What is 5*f(k) + p(k)?\nAnswer: -2*k**3 - k + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -a**5\/60 + 5*a**4\/8 - 35*a**3\/6 + 2*a**2 + 38. What is the derivative of u(r) wrt r?\nAnswer: -2*r + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 4 = j + 4*m, j + 4*m = 2. Let c be (6\/(-10))\/((-2)\/j). Solve c*q - 19 = -l - 8, 0 = q - l - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28 + 20. Let n = 1 + 0. Let u = 14101 + -42305\/3. Sort r, u, -4, n in decreasing order.\nAnswer: n, u, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, 0.099942, 0 in descending order.\nAnswer: 48, 0.099942, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -13\/2, -5, -1, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g**2 + 8*g + 10. Let s be (0\/2)\/(-4) + 2. Calculate the least common multiple of c(-4) and s\/5 - (-704)\/40.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**2 - 2*p - 1. Let x be f(-1). Suppose -x*c = 84 - 214. Let a = 32 - 19. What is the highest common divisor of c and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1211084249 to the nearest integer?\nAnswer: 34801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 696, -3, 2, 5, -5.\nAnswer: -5, -3, 2, 5, 696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -834 = -7*o + 573. Find the common denominator of o\/2*(-14)\/(-693) and 52\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -20?  (a) -1\/6  (b) -5  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 - 13*w**2 + 14*w + 9. Let u be y(-14). Let a(i) = 7*i - u*i + 0*i. Let f(t) = 12*t**2. Determine a(f(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2417881685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 20034250 (base 6) to base 3\nAnswer: 1001200122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 5*h**2 - 7*h - 5. Let a be (-1)\/(((-3)\/(-2))\/(2 - -19)). Let k be (34\/119 - (-102)\/a) + 1. Give q(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9864 by -411.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*x + 4*x - w - 5, 2*x - 14 = -5*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 - 191*l + 1234. Calculate x(6).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 6 = 19. Let n(f) = u - 5 + 7*f - 4 + 0*f - 1. What is n(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/8)\/((-3)\/10)*1794\/585*-3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (36\/(-14))\/6*-7. Is 4 a factor of (-2)\/((-11)\/(-4) - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/4*(-780)\/50. Let f(i) = -8*i**3 + 2*i**2 + u*i**3 + 25*i**3 - i. What is the tens digit of f(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = 7*i - 24, 8 + 6 = 4*i - 5*v - 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from vmmvyvmuvmmmum.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9c25c3 + -1?\nAnswer: -9c25c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = 4*f + p - 0*p, 2*f - 5*p = 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330*c - 323*c = 420. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6154)\/(-340) - (-8)\/(-80)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 28*p**2 - 2427*p - 432. Give y(87).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from uincuccciicuccucnic?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 51374568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-46)\/84*-14 + 2\/6. Let j(i) = 4*i - 39. Let v(n) = -13*n + 118. Let a(y) = -7*j(y) - 2*v(y). What is the remainder when a(f) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of 5\/2*d**3 - 3*d**2 + 0 + 15*d. Does 12 divide j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 + 9*q**2 + 2*q - 19. What is u(-11)?\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggc when three letters picked without replacement from egceccgc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 1166643000 to the nearest 1000000.\nAnswer: 1167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2)\/(l**2*l))**(-41\/4)*((l*l**(-1\/2))\/l**(-3\/2))**(2\/51) assuming l is positive.\nAnswer: l**(10471\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 PM and 5:20 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h**17)*h*h**(-6\/19))\/(((h\/(h\/(h\/(h\/(h\/h**(-1\/40))))))\/h)\/h*h**(-2\/3)))**(-7) assuming h is positive.\nAnswer: h**(234199\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 120.1039 and 0.5.\nAnswer: 60.05195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**2 + 975*h + 3980.\nAnswer: -5*(h - 199)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 28732, 28743, 28750, 28753, 28752, 28747, 28738?\n\"Answer: -2*c**2 + 17*c + 28717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15912 - 22015 = -717*m + 489 + 2453 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*b**3 - 3*b**3 + 9*b**3)*(-25 - 9*b + 25).\nAnswer: 153*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 1, 2, -2, -325 in decreasing order.\nAnswer: 5, 2, 1, -2, -3, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1295 + 380 = -199*l + 135 + 4920 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9636337 is divided by 19389.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 3 = -5. Suppose 5*h = o*d + d - 20215631, 2*h - 4*d = -8086244. Let j = 1743128 + h. Round j to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 3) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.1 + 0.1. Let a = 11 - 11. Let r be 222\/36 + -10 - -4. Sort a, p, r in increasing order.\nAnswer: p, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002912 to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*b + 30*b = 36852. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 6*a**2 - 5*a - 3. Let l be g(4). Let w be (-402)\/(-15) - (-4)\/(-5). Let c = l - w. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34779, -69528, -104277?\nAnswer: -139026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of f**4\/6 - 53*f**3\/3 + 52*f**2 + 6*f - 31. What is o in x(o) = 0?\nAnswer: 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14016705851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (4 + -7 + 0 + -2 - -18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**2 + 2416032*a + 55 - 2416032*a - a**4 + 2*a**3 + (-a**2 + 0*a**2 + 2*a**2)*(-2*a**2 + a**2 + 3*a**2).\nAnswer: a**4 + 2*a**3 + a**2 + 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 21 = -24*p + 19*p + 2*z, -119 = 2*p - 9*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -b - 5*y, -3*y + 6*y + 315 = 5*b. Is b less than 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 254.8126 kilograms?\nAnswer: 254812600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 30278 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + 3*y + 2 - 7, q = -2*y + 12. Suppose 3*s + 18 - 84 = 3*l, 4*s - 64 = -q*l. Calculate the remainder when 71 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.1016125 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 9057720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-21)\/(-6) - 7\/14. Suppose -k*h = 5*t - 28, -3*t = 4*h - 10 - 9. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 16 = 0, -32*c + 5*p + 82960 = -19*c. Does 44 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from exxecxfexhii?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/3236 and 53\/3720616?\nAnswer: 3009978344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 8*k**2 + 11*k - 8. Let g be d(7). Let s be (-156)\/g - (-1)\/(-5). Let t = s + 15. Calculate the remainder when 19 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -597*a**2 - a. Let t(j) = -3374*j. Calculate t(l(n)).\nAnswer: 2014278*n**2 + 3374*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1252*i**4 + 60076*i**3 + 77332*i**2 - 734956*i - 11760 = 0.\nAnswer: -4, -5\/313, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -88.7 + 88.7025256. Round u to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 795\/4 - 199. Put -3\/8, 0, t in decreasing order.\nAnswer: 0, t, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*n + 3*n, -4*w = 5*n - 48. Let g be (848\/w)\/(-4)*-3. Let d = g - 35. What is the lowest common multiple of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 232*m + 61*m**3 - 563*m + 330*m + 366*m**3.\nAnswer: 427*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 AM and 8:37 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t\/(t\/(t**8\/t*t)*t)*t)\/t)\/t*t**(-17))\/(t**(-2)*t\/(t**(-1\/6)\/t)) assuming t is positive.\nAnswer: t**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c**10*c**19 assuming c is positive.\nAnswer: c**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 167199 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 276*n - 36470 = 402*n + 681*n + 20827 for n.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20874290431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 + h + 1. Let b(w) = -2*w**2 - w + 9. Let r(i) = -b(i) + 5*j(i). Let v(x) = -x**2 + x - 1. Calculate -r(o) + 4*v(o).\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 15727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 4*r - 19, 0 = -4*r - r - 5. Suppose s*h - 2*h = -5*j + 12, 3*h + 2 = 4*j. Suppose 1\/2*y - y**j + 0 + 1\/2*y**3 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 505.98 + -506. Let w = 0.42 - 0.399328. Let q = o + w. Round q to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -314666 at least as big as -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of -y**3\/6 - y**2\/2 + 7*y + 5. Let v(j) be the first derivative of i(j). What is v(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -76*t*z**2 - 299*t*z - 11*t + 179*z**2 - 2*z + 2 wrt z?\nAnswer: -152*t + 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 414 + -410. Solve -i = c*w + 4, 13 + 1 = i - 5*w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1103554052 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 114*c**4 + 1082*c**3 + 5086*c**2 + 87*c.\nAnswer: 2736*c + 6492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 3 = 4*h. Suppose h*i = 3*u - 27, 4*i - 11 = -3*u + 16. Suppose 0 = -5*m - u + 24. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1742 - -103. Let v = s - 1095. Is v a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of -4*n**3 - 27*n. Let t(m) = 4*m**2 - 2*m + 2. Let j(q) = -9*q**2 + 5*q - 5. Let d(s) = -2*j(s) - 5*t(s). What is d(a(v))?\nAnswer: -1152*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -51080.063 + 51104. What is f rounded to one dp?\nAnswer: 23.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*x - 2*f + 6, -4*x + 11 = -2*f + 3*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 25*z**2. Let c(w) = -1197 + 397 - 5*w + 400 + 402. Give y(c(l)).\nAnswer: 625*l**2 - 500*l + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/6)\/(u\/(u\/(u*u\/(u\/u**(-12))))))**(-32) assuming u is positive.\nAnswer: u**(-1040\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -3*f + 20, -25 = q - 6*q - 2*f. Suppose 4*i = q*r + 3*i + 330, -3*r - 205 = -2*i. Is r\/(-7) + (-12)\/42 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.21652 + -5.\nAnswer: -7.21652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 - z - 21. Let n(u) = u**3 + 10*u**2 + 18*u + 4. Let g(c) = 3*c + 46. Let o be g(-18). Let q be n(o). Is 14 a factor of j(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43 (base 12) to base 8.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, n: 1, c: 1, w: 2}. What is prob of picking 1 n and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 16. Which is the third biggest value?  (a) -7  (b) 3\/5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*r**3 - 89102*r**2 + 61*r + 19964 wrt r.\nAnswer: 72*r - 178204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -486*f*k*l**2 + 1258*f*k + f*l**2 - 11*f - 678*l**2 + 12 wrt k.\nAnswer: -486*f*l**2 + 1258*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -818558 - 0.1.\nAnswer: -818558.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 254535560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -6*v - 139. Let u = v - -56. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 388\/9 or 43?\nAnswer: 388\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 + 1026*r - 112544. Determine c(100).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 74\/8913 and -52\/26739.\nAnswer: 26739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 5*o - 80. Let n be 35\/(-15 - -8) + (-31)\/(-7). Which is the second biggest value?  (a) o  (b) n  (c) -3\/7  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffrnffnfnrfnf. Give prob of picking 2 n and 1 f.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/18*(-24)\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9309*h**5 - h**3 + h**2 - 29043*h.\nAnswer: -186180*h**3 - 6*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -891011.209 times 0.3\nAnswer: -267303.3627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3 and 154455.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 + 3. Let d(z) = -z**2 + 4. Let n(l) = 5*d(l) - 6*m(l). Let k be n(0). Let g be 80\/84 - k\/3. What is the nearest to 1 in g, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15\/31?  (a) 1  (b) 2\/9  (c) 0  (d) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 10996, 12238, 13480, 14722, 15964?\n\"Answer: 1242*f + 9754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - 4)*(26 + -277) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -4*x - 2*w + 5, 4*x = -5*w + 16. Let o = -2.9691 - 0.0309. Which is the closest to x?  (a) 0.3  (b) 0  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -402569 + 269168 = 2517*d for d.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -10 + 2 - 3 - z + 0. Let c be j(-14). Solve 0 = -8*f + 11*f - c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 17107289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 8 = 32. Let n(k) = -r*k + 37*k + 4*k. Let t(a) = a**2. Give n(t(c)).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -6*o**3 + 3. Let j(g) = -g**3 + 1. Suppose 4*s = 5*t - 46, -s = 4*s + 20. Suppose 0 = 4*p - 6 - t. Determine p*j(w) - h(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 13846, 27628, 41410, 55192?\n\"Answer: 13782*h + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -380 - -411. Suppose 0 = -5*p + 210 - 55. What is the greatest common factor of p and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from {k: 1, c: 1, e: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 + 15*i - 26. Let b(q) = -q**2 - 13*q - 30. Let z be b(-6). Let y be s(z). Does y = 31\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -72, -170, -314, -504, -740, -1022?\n\"Answer: -23*z**2 - 29*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -4*h**2. Let s(q) be the first derivative of q**3 - 4*q**3 + 4*q**3 - 17 + 5. Calculate s(w(m)).\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 5 - 1 = 0. Solve 0 - w = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (336\/168)\/(((-10)\/(-1))\/(19*(-7)\/(-7)))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 67710 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 27.12 and 0.129704.\nAnswer: 3.51757248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*(p*p**(3\/8)\/p*p)\/p*p*p*p\/(p**(-24)\/p) assuming p is positive.\nAnswer: p**(235\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3, -2\/5, 1\/4, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -3 + 18. Let q(y) = -y**2 + 5*y + 1. Let s be q(4). Let z(b) = s*b + 7 - 2*b**2 - 2*b + b**2. Determine z(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*u + 0*u**2 + 5*u - 4*u**2 - 5 - u**2 to the form p*u**2 + n + d*u and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1046*w**4 - w**3 - 166*w**2 - w wrt w?\nAnswer: -25104*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3*1\/3*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + v = -4*k - 5, -v = -5*k + 29. Let 2*g - k*g**3 + 3*g**3 + g = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 211644 is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 37*j - 4*f - 128, f = -4*j + 3*j + 6*j - 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50709*d + 50710*d + 4 - 4.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/3)\/((-3)\/(-9)). What is the common denominator of (-44)\/j*5\/(-9) and 12\/10 + -1 - 279\/(-90)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 + (231\/88 - (-413)\/(-8))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*m - 17*m + 4*m**4 - 2 + 23*m + 29*m**3 + 2*m**2 - 3*m**2 - 2*m**4 as w*m + a*m**2 + y*m**4 + i + h*m**3 and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1506 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -406, -1622, -3640, -6460?\n\"Answer: -401*a**2 - 13*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75622, -75416, -75228, -75064, -74930, -74832?\nAnswer: -74776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r + 1. Let y be w(-2). Let q = 77 + -74. Solve 3*j = q*i - y, -4*j + 4*i = -3*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -45.000045 - -45. Round y to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 165153899?\nAnswer: 8273, 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/52 - ((-720)\/78)\/5. Let o be (-35 - -4)*((0 - r) + 1). What is the highest common divisor of 93 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 209 + -131. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((sqrt(85) - (-2*sqrt(85) + sqrt(85) + sqrt(85)))*-4 - sqrt(85)) + sqrt(85))\/(sqrt(125) + 1*sqrt(125))*1.\nAnswer: -2*sqrt(17)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 681 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of 4*n**6\/45 + 4*n**5\/15 + n**4\/4 + n**3\/9 + n**2\/2 - 11. Let h(f) be the second derivative of q(f). Factor h(y).\nAnswer: 2*(y + 1)*(4*y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 207 = -75. Let i be (0 - -1)\/((-3)\/z). Let u(w) = -w**2 - 13*w - 11. What is the remainder when u(i) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 6 = -2*q, 8*u = 4*q - 2*u - 30 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - -2. Let f be (120\/63 - 2) + 192\/(-3276). Sort b, -12, f in decreasing order.\nAnswer: b, f, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -7\/3  (b) 5  (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 467280 and 1125.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7360\/(-253) + 6\/66.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - 7 - -5) + 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -218*o + 217*o - 4*r = -2, 0 = -4*o - r + 83. What is the lowest common multiple of 286 and o?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -68386+-1215\nAnswer: -69601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(150) - sqrt(150))*-6 + sqrt(150) + sqrt(150))\/(1*sqrt(108) + (sqrt(12)*2 - sqrt(3)))*2.\nAnswer: -40*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -11*g + 100. Determine w(48).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1353, -2563, -3773, -4983, -6193?\n\"Answer: -1210*h - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.554*-716.\nAnswer: -396.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22\/15 + -43\/60. Let a = c - 25\/12. Let q be (-56)\/21*(-3)\/12. What is the third smallest value in a, 2\/9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 8 + 6*x)*((-2*x**2 + 9 - 9)*(-x**2 - x + x) - x**4 + 3*x**4 + 0*x**4).\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of g**7\/2520 - g**4\/4 + 2*g. Let c(y) be the third derivative of h(y). Factor c(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**4 - a**3 + 1. Let r(q) = q**4 + 11*q**3 + 15*q**2 + 5*q + 4. Let u(c) = 4*m(c) - r(c). Determine j so that u(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 32\/20 + 4\/10. Let r be (0 + v)\/((-2)\/74). Let b = -39 - r. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of 11*t**5\/10 + t**4\/24 + t**3\/6 - 15*t**2. List the prime factors of a(-1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124396 is divided by 625?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2814, 12284, 21754, 31224?\nAnswer: 40694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1839, 1820, 1801, 1782, 1763?\n\"Answer: -19*x + 1858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/42 and -17\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13184 and 39552?\nAnswer: 39552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-234 + 56 + 613)*(-5*j**3 + 3*j**3 + 3*j**3) to the form b*j**3 + a + q*j**2 + o*j and give b.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2884394*a**5 - 4347898*a?\nAnswer: 57687880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -4\/3 and 2\/1 + -134*8\/432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21 - 43. Calculate the common denominator of ((-1)\/(-6))\/(6\/(-122)) and (-12)\/t*(-79)\/3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34 and 441349342.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**3*p\/(p**(-8)\/p)*p**(-4\/9)*p**0\/p*p assuming p is positive.\nAnswer: p**(113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 363 and 11895873?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) -0.4  (b) -1\/437  (c) -0.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*x - 6626 + 15575 = 0 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from abaaadssubaaasaaaaa. Give prob of sequence bd.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 138\/9 - 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 48*u + 170. What is x(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -44552*i**4*x + i**2*x + 2*x + 3787 wrt i.\nAnswer: -1069248*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 + 2. Let c(v) = v**2 - 1. Let l(s) = 7*c(s) + 5*w(s). Is 13 a factor of l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 515148779*m**5 - m**2 - 60*m + 61105.\nAnswer: 30908926740*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the second derivative of -7*a**3\/3 + 3*a. Let u(b) = -2*b**2. Calculate l(u(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (12 + 6)\/(2*1). Let w be u - (4 + 1*-2). Let p be (-1 - -5)*w\/4. Solve o + 3 - p = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25865287 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uhlluluhlllullulllll?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 146925513 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 27*b**3 - b**2 + 9*b**3 + 7*b**3 + (1 - 1 + b**2)*(b - 6*b + b).\nAnswer: -15*b**3 - b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w*(w\/w**2)\/w)\/(w*w*w*w*w**(-5)))**(-16\/9)*w\/w**1*w*w\/(w*w**2)*w**(5\/3)*w*w**(-3\/2) assuming w is positive.\nAnswer: w**(-29\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 6) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a + 6 + a - 4*a + 2*a. Let l be p(-1). Suppose l*t = 9*t - 4. Solve 10*z + 4*n = 5*z + 4, -t*z - 4*n = -4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h - 25. Let y(w) be the first derivative of 3*w**2\/2 - 37*w + 5. Let x(q) = 7*o(q) - 5*y(q). Let i be x(6). Solve -2*f + i*f = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -3*k - 4*w - 364, 2*w = -6. What is the remainder when k is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8299556 centuries in years?\nAnswer: 82.99556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -2*v**3 + 0*v**3 + 9*v**3. Let f be o(1). Suppose -f = -2*h + 25. Solve 4 - h = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6915230207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 10:53 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 6)*(0 + 0 - 2*v)*(1 + 0 - 7).\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 135 = 153. Let z(n) = -n**2 - 3*n - 5. Calculate z(j).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, j: 3, q: 3, r: 1, e: 2}. Give prob of picking 1 b and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6167881 - k - 76*k - 6167884 - 3*k**3)*(6 - 3 - 1).\nAnswer: -6*k**3 - 154*k - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*a**3*r*y - 2*a**3*r + 2*a**3*y - 3*a**3 - a**2*r + 238*a*r*y + a*r - 4*a - r*y wrt a?\nAnswer: 60*r*y - 12*r + 12*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -128*f - 4. Let v be y(7). Let z = v + 1383. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 58 - 59. Let f(t) = t - 3*t**2 - 3*t**2 + 3*t**2. Let i be f(1). Put a, i, 0 in descending order.\nAnswer: 0, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*2*(sqrt(28) + 3))**2.\nAnswer: 1200*sqrt(7) + 3700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 5  (b) 4401  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*x**3\/4 - 3*x**2 + 27*x\/4 + 27 = 0. Calculate x.\nAnswer: -4, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 8.3.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*f - 4*c, 5*f - 4 = 2*c + 6. Suppose -2*h = -12 + f. Let d(m) = m**3 - 4*m**2 - 6*m - 6. Determine d(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -719048*m**2 + 503860*m wrt m.\nAnswer: -1438096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*z + 24*z + 34*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**4 + 728*b**3 + 136086*b**2 + 1306760*b + 3222025.\nAnswer: (b + 5)**2*(b + 359)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -18*n**2 - 5*n. Let y(o) = -o - 22700. Calculate y(w(d)).\nAnswer: 18*d**2 + 5*d - 22700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-5)\/o)\/o**(2\/7))\/(o\/(o\/((o\/(o*o\/((o*(o**0\/o)\/o)\/o)*o*o))\/o))*o*o\/(o**(1\/3)*o)*o) assuming o is positive.\nAnswer: o**(-41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - -6. Let f be (-2)\/s - 1136\/(-9). Let y(c) = c**2 + 7*c - 4. Let n be y(-9). What is the greatest common factor of f and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*c - 9. Suppose 3*p + c*p - 700 = 0. Suppose -6*d - p = -10*d. What is the greatest common divisor of 315 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 8:08 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.70816253 rounded to two dps?\nAnswer: -8.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112 + 112 + 105268*s**3.\nAnswer: 105268*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 PM and 12:44 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - (-5 + -6 + 6) - -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 24*n = -364. Solve -3*z = 5*h - 5*z - n, 12 = h - 5*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - ((-18)\/(-20))\/((-1764)\/33810).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 greater than -3302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 70257, 564599, 1907103, 4521849, 8832917, 15264387, 24240339, 36184853?\n\"Answer: 70680*t**3 + t**2 - 421*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/5 of a tonne in kilograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1226, 1147, 1068?\n\"Answer: -79*o + 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 14*b**2 + 5*b + 71. Let j be r(-14). Sort -2, 1106, j in ascending order.\nAnswer: -2, j, 1106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -168*b**4 + 7*b**3 - 46715*b**2 - 407172128*b wrt b?\nAnswer: -2016*b**2 + 42*b - 93430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 21 = 3*x, 0*x = 2*o - 2*x - 16. Suppose 0 = -2*v + o*v + 8. Let p = 14 + v. What is the smallest common multiple of p and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 493 and 111979?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - d - 15 = 0, -8*d + 10 = 5*o - 12*d. Let v be 3 + 78\/((-2)\/(-1)). Let g be 16\/v*(-9)\/6. Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + 18. Suppose -2*o + 2*c - 21 = 7, -x = -5*c. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3 + 203*c**2 - 10200*c - 10404.\nAnswer: -(c - 102)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1\/32, 0, 2\/19761, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/20556 and 64\/15417.\nAnswer: 61668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - -1)\/(4*5\/(-40)). Let a be ((-2)\/(-6))\/((-2)\/10). Is x less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(448) - (sqrt(448)*-2 + sqrt(448)))*2 - ((sqrt(448) - (0 + sqrt(448))) + -2)))**2 + ((-5 + sqrt(448)*2)*-1)**2 + -3.\nAnswer: -32*sqrt(7) + 8986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112 - -21121101?\nAnswer: 21121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*s**2 + 1427 - 17*s**2 - 710 - 14*s**2 - 717.\nAnswer: -66*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(1\/6))\/g)\/((g\/g**(-1\/17))\/g*g)*(g**(-3\/4))**47 assuming g is positive.\nAnswer: g**(-7441\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -6104344 (base 7) to base 8\nAnswer: -2606434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 1:04 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -3*q + 24. Let a be c(8). Suppose a = -26*o + 3572 + 5138. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -44, -78, -110, -140?\n\"Answer: w**2 - 37*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3305\/6372 - 13\/108. Find the common denominator of 7\/6 and p.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3*s - 6109 = 0, -1551 = -a - 0*s - 4*s. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, j: 8}. What is prob of sequence pjjp?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*z + 156 = 28 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 + -19.2. Let f be ((-12)\/(-36))\/((-2)\/12). Which is the nearest to f?  (a) -0.5  (b) i  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - 0 - (-24 - (-102 + 96))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 286 or -1?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1728) + -1)*-5)**2 - (-6*-1*sqrt(1728))**2.\nAnswer: -18983 - 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 105177299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, x: 4, i: 1, f: 3, n: 2, d: 2}. Give prob of sequence fn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.072254411*1\nAnswer: -0.072254411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4968 - 4227. Solve -736*g = -z*g + 30 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*v = -4*n - 52, 5*n = 4*v + 11 - 76 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.5 = 61339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 864 divide 252456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 3:10 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 10:56 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of -n**4\/4 - n**2\/2 - 7*n - 2. Let j be (-18)\/(-36) - (-1)\/(-2). Determine i(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*r**4 - r**4 + 5*r**4)*(-3 - 1 + 2) - 5*r**4 + 5*r**4 - 2*r**4 to the form a + q*r**4 + k*r + g*r**3 + s*r**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.8 - -3.8. Which is the nearest to i?  (a) 1\/2  (b) -5  (c) 0.35  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34 and 180.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-7)\/((-7)\/(-4)) + 29. Let f be ((-20)\/q)\/(4\/(-10)). Let u(h) = -4*h - 3. Let t be u(-2). Sort f, t, -5.\nAnswer: -5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/14)\/((-24)\/112).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of 3*y**5\/80 + y**4\/4 - 7*y**3\/8 - 15*y**2\/4 - 18*y - 1. Factor x(h).\nAnswer: 3*(h - 2)*(h + 1)*(h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 39*f**5 + 2*f**3 + 137*f.\nAnswer: 780*f**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 4 + -10 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 742015620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.58 minus 214?\nAnswer: -207.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -20, -4*l - 4*r + 24 = -0*r. Suppose -4*k + 64 = 4*j, 5*j - 56 = l*k + k. Let t = 63 - j. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 175*z - 21*z = 65926 + 43568. Calculate the remainder when z is divided by 238.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -61  (b) 5  (c) -3\/5  (d) 4  (e) -4  (f) 121\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.05 in 1.143, -0.2, 0.049, 3\/5, 0.06?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -14 + 5. Let o(m) = -3*m - 5 + 4*m + b. Let j be o(0). Solve z + 9 = j*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7\/2*(-12)\/(-21). Suppose 4*k - 12 = u*k. Solve -y = -2*h - 1, 4*y - k = -4*h + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (2\/6 + (-58)\/3)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 6*o + 80. Suppose -3*f = 15, -444 = -5*j + 3*f + 251. Suppose -h - j = -5*h. What is the smallest common multiple of h and o?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -16*t - 313. Let n(o) = -3*o - 57. Let k(p) = 11*n(p) - 2*w(p). Let i(a) = a - 1. Calculate -i(r) + 2*k(r).\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*h - 230 = 276 + 660. Calculate the remainder when 506 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -5*w**2. Let b(o) = 6*o + 5. Let r(q) = -7*q - q + 10 + 11*q. Let t be r(-5). Let h(y) = y + 1. Let x(n) = t*h(n) + b(n). Give x(l(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (52 - 128 + 56)*(k + 27 + 19 + 21 + 7).\nAnswer: -20*k - 1480","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 7*y, -24 = -3*f - 5*y. Let b = -246 - -241. Let t = b + f. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 170, 329, 488, 647, 806, 965?\n\"Answer: 159*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-332 - -377) + (-84 - 0).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -40591.\nAnswer: 4\/40591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 614135086, 614135095, 614135118, 614135161, 614135230, 614135331, 614135470, 614135653?\nAnswer: 614135886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13387 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-33)\/(-12) - (-15)\/(-20). Solve 0 = -s*c - 2 + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(-2))\/(25\/(-350)). Calculate the remainder when (-572)\/f - (-1 - 5\/(-7)) is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**5 + 150*u**4 + 2442*u**3 + 11832*u**2 - 19941*u - 29478.\nAnswer: 3*(u - 2)*(u + 1)*(u + 17)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + 0. Suppose 0 = -3*t - a*t + 159. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 39*r + 91. Let h be g(2). Calculate the highest common divisor of 221 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4397*d**2*x**2 + 13*d**2*x - 2*d**2 - 2*d*x + 57*d - 7*x**2 + 28*x - 3 wrt d.\nAnswer: 8794*x**2 + 26*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1305, 1304, 1303, 1302, 1301?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.42?  (a) 41  (b) 4  (c) -3  (d) 2  (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**2\/4 + 12585*b\/4 - 1898815.\nAnswer: -5*(b - 1513)*(b - 1004)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = 31*v + 208 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -132.786 - -61.73. Let o = c + 0.056. Let x = o - -72. Sort x, -2\/17, -5, -2 in ascending order.\nAnswer: -5, -2, -2\/17, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -252\/25  (b) -2179  (c) -0.3  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -7, -12, -594, -5, 2.\nAnswer: -594, -12, -7, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 4*i + 4 = 0, -5*m = -4*m + 3*i - 5. Suppose 7*s - m*w = 2*s + 733, 5*s - 4*w = 741. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -832 - 3699841.4\nAnswer: -3700673.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a + 10. Let p be u(-8). Suppose -p*v + 4 = -12. What is the remainder when 13 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 1.52, 0, -2\/15, -129.6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vnvdqqndnddqv. Give prob of picking 2 q.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 4*c + c + (3 + 0 + 10)*(-6 - 6*c + 6))*(-4*c**2 + 5*c**2 - 3*c**2).\nAnswer: 152*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*b - 13*b + 8*b to u*b + p and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -2*h**3 + 2878332*h**2 - 1035596509440*h - 2071204532224 = 0.\nAnswer: -2, 719584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -631 + 646. What is the third derivative of -29*q**5 + 7*q**2 - p*q**2 + 39*q**2 + 93*q**5 - 2 wrt q?\nAnswer: 3840*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 - q**2 + 2*q. Let a be j(3). Let d = 38 - a. Let w(f) = f**3 - 5*f**2 - f - 3. What is the remainder when w(6) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79716 is divided by 1762.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 6 = 2*d. What is the tens digit of (d - 10\/4)*-34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**6*w**7\/w*w*w\/(w\/(w*w*w*w*w**(2\/19)*w))*w\/w**3)\/(w**(7\/2)\/(w**11\/w))**(1\/18) assuming w is positive.\nAnswer: w**(11263\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2\/11, 13, -0.27, -5, -3\/13 in decreasing order.\nAnswer: 13, 2\/11, -3\/13, -0.27, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14890653 to the nearest integer?\nAnswer: 3859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*g - 20 + 285 + 249 = -26 for g.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*o**2 - 26*o**2 + 58*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -266, -150, 44, 316?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1281)\/(-12))\/(29\/696). Put d, 1, -5 in descending order.\nAnswer: d, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -220111 (base 3) to base 7.\nAnswer: -1633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 42948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -638 - -638.45. Is 2 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 9:30 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 + 9*n**2 - 9*n + 786. Let c(k) = -k**3 + 8*k**2 - 8*k + 785. Determine 9*c(d) - 8*h(d).\nAnswer: -d**3 + 777","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 876895 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - -2. Suppose -4*x - 4*z = 4, 2 = z + 7. Find the second derivative of -l**3 - l - 3*l**4 + l**i + 7*l**x wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -59*j - 631 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2167\/7 + 8689\/28. Which is bigger: u or 0.53?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 take away -0.1395?\nAnswer: -0.3605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -17*r**2 + 59*r + 8. Let t(u) = -64 - u**2 - 65 + 131. Let c(z) = h(z) - 4*t(z). What is the second derivative of c(s) wrt s?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/(-30) - (-1134)\/420. Let b(y) be the second derivative of 3*y - 2*y**2 + 0 + 1\/3*y**4 + 0*y**o. Factor b(a).\nAnswer: 4*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3150593119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1618, 1927, 2236, 2545?\n\"Answer: 309*o + 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 + u + 1. Let j(x) = -4*x**2 - 7*x. Let l(y) = -4*h(y) - j(y). Calculate the remainder when l(-3) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -120*y**2 - 48*y - 20. Let m(a) = 17*a**2 + 7*a + 3. What is 20*m(n) + 3*p(n)?\nAnswer: -20*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8499\/190 + 22\/95. Let n be 26\/(-26) + -9 + 0. Find the common denominator of o and 191\/n - 2\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1152)\/(-144)*(-7)\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - d**3 - 2 + 21*d**2 + 0*d**2 to the form s*d**2 + f + x*d + n*d**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1120\/280*((-5115)\/(-10))\/(-11)*2\/(-12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rzmlfmfhh. Give prob of picking 1 z and 1 h.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 1:57 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -16*h**3 + 133*h - 5. Let i(q) = 48*q**3 - 396*q + 16. Determine 16*g(a) + 5*i(a).\nAnswer: -16*a**3 + 148*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5252 is divided by 1181.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 5*t**2 + 9*t + 20. Let v be k(-4). Solve 25 = -v*d + 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u**3\/7 - 3232*u**2\/7 - 62932*u\/7 + 66160\/7 = 0.\nAnswer: -20, 1, 827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4553013 - 22?\nAnswer: -4553035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3290 - 27?\nAnswer: -3317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 - 15*d + 3. Let x be j(15). Suppose 3*r - 136 = -2*i, 5*i + r - 128 = x*i. Let u be (-2)\/(-4) + 465\/i. Sort 5, u, 1, -2.\nAnswer: -2, 1, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + -2 + 0)*-2. Suppose -5*i - w + 179 = -o*w, 4*i - 160 = 5*w. Suppose 12 = 5*x - 13. Calculate the greatest common divisor of x and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16619840*l**3 - 2*l**2 + 2*l + 2834493 wrt l?\nAnswer: 99719040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x**3 - 1180*x**2 + 68144*x - 471680 = 0. What is x?\nAnswer: 8, 67, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/29 and 93\/4?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3269.475 months to centuries.\nAnswer: 2.7245625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -39 + 39.3. Let r be (-1 + 3)*-2*-1. Let g = -217\/9 + 24. Put g, k, r in decreasing order.\nAnswer: r, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 95, 111, 151, 227, 351, 535?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 76 + 85 = -5*l, 4*l = d + 61. Let a = -38 - d. Calculate the highest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*1*sqrt(170))\/(sqrt(80)\/sqrt(32) + sqrt(10)) + (sqrt(170) - 3*(-1*sqrt(170) + sqrt(170)))\/((sqrt(120) - 2*sqrt(120))\/sqrt(12)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 - -15. Let f be (-676)\/130 - (-2)\/10*1. Let p = -14 + 12. Put v, p, 2, f in ascending order.\nAnswer: f, p, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m = -21 + -37. Let x = -60 - m. Let g = -6.3 + -0.7. Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3262 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 AM and 11:15 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 33, 151, 381, 747, 1273, 1983?\n\"Answer: 4*d**3 + 32*d**2 - 6*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7*(-5)\/10*(-1 + -1). Let p(l) be the first derivative of l**2 + 8*l + 2. Let h be p(g). Sort -5, h, -3 in ascending order.\nAnswer: h, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -604, -0.0172.\nAnswer: -604, -0.0172, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45203317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 3*q**2 - 15*q + 15*q. Suppose -9*r + 20 = -5*r. Let x(d) = 3*d + 5 - r + 0. What is y(x(t))?\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -13*w - 15. Let p be k(-15). Calculate the greatest common factor of p and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 28 and 12032129.79?\nAnswer: 12032101.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 2. Let p = -1.835 + -0.165. Which is the smallest value?  (a) g  (b) 1  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21)\/(-98))\/(2\/(-7))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -58\/15 and 43\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 15 = 5*j - q, 3*q = 2*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*j + 3493 = 129*j - 2971 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -5 - ((-2 - -4) + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 90a3 - 2?\nAnswer: 90a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2243864337?\nAnswer: 3, 11, 13, 19, 23, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 4*y. Let v(t) = -9*t. Let m(r) = 6*r. Let q(g) = 8*m(g) + 5*v(g). Calculate q(s(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.0488, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 - 3*s**2 - 1. Calculate c(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 8 = -3*i + 5*i, 4*i + 22 = 2*o. Let x(m) = m**3 + 7*m**2 + 6*m - 6. What is the units digit of x(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47 + 66. Let g = s + -8. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3546)\/(-33687))\/(26\/190)\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1338681524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, 1\/2, 4, -0.3, 0.08?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*t)*(-3*t**3 - 15*t**3 + 2*t**3) - 18*t**4 + 58*t**4 - 16*t**4.\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 + 125295640.\nAnswer: 125295640.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2473*z + 1479 = -2551*z - 1563 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 - 16*l + 19. Let d be t(-17). Suppose 4*c + 2*x + x - 37 = 0, 6 = d*c + 4*x. Calculate the greatest common factor of c and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*v + 32*v - 4*x + 15 = 0, 0 = 10*v - 118*v + 2*x + 324 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 10:25 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -4*n - 36. Suppose -21*i = -26*i + 35. Suppose -v + i*r - 3*r - 17 = 0, -r - 68 = 4*v. Calculate the remainder when f(v) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 b when three letters picked without replacement from {b: 18, i: 1, e: 1}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*j**4 - 6*j**3 + j**2*o**2 - 9*o**2 - 20*o wrt j?\nAnswer: 12*j**3 - 18*j**2 + 2*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2601904874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 1359\/2 and 681 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -299 + -8465461.\nAnswer: -8465760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3724863 is divided by 229.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -66 - -66.1. What is the nearest to t in -0.3, 4, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -738739, -1477484, -2216229?\nAnswer: -2954974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6\/7  (b) 3\/5  (c) -1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of f**3\/3 - 19*f**2 - 2*f + 24. Let p(h) be the first derivative of m(h). Calculate the lowest common multiple of 6 and p(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 437, 812, 1189, 1568, 1949, 2332, 2717?\n\"Answer: u**2 + 372*u + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.09592 - 50.69808. Round i to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (440\/(-50))\/(-11)*(-5)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*w - 6*w + 20*w)*(-1 + 1 + 2*w).\nAnswer: 70*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2145)\/130*24\/66.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express h - 26*h**2 - 4*h**2 - 4 + h**2 + 0*h**2 + 11*h**2 as g + i*h**2 + y*h and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.04 - -0.96. Let d = 2.3 - k. Let c = -0.3 + d. Put -2\/5, 0.1, c in ascending order.\nAnswer: -2\/5, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 329803295.\nAnswer: 5, 89, 741131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -804*r + 70805*r**2 - 609*r + 20 - 560*r - 91*r - 316*r.\nAnswer: 5*(119*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.3487547 months to years.\nAnswer: 0.112396225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - 2) + -2 - 720\/150?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1391056 and 328997.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -16635, -32450, -48265, -64080, -79895, -95710?\n\"Answer: -15815*l - 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 4*n = -0 + 14, -4*y - 5*n = -15. Let u be (-9)\/2*(-8)\/6. Suppose 0 = 2*h + 3*r - 5*r - u, -y*h + 2*r = -21. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 + 11*c - 12. Let x = -6 - -8. Suppose -2*t + 2 = -4*d, -x*d + 3 = -4*t + 31. Calculate the remainder when 16 is divided by y(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 55230 and 1014?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 97140203 and 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3317 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q**4 - 4843257*q**3\/2 + 15740919*q**2\/2 + 41773401*q - 10897416 = 0. Calculate q.\nAnswer: -403608, -3, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -2*o - 8, -4*o + 5*o - 2*g = 8. Let a be (o - 7\/5)*-5. Solve -a*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69.99893 micrometers to millimeters.\nAnswer: 0.06999893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -1138*i**4 + 5*i - 1109. Let u(c) = 1707*c**4 - 7*c + 1664. Let d(l) = -7*a(l) - 5*u(l). Find the first derivative of d(w) wrt w.\nAnswer: -2276*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -89*u**4 + 57*u wrt u.\nAnswer: -1068*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 AM and 9:34 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -50 - -70. Let y be (16\/z)\/(6\/15). List the prime factors of (0 - y)*1 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 + -29 + -5 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8649157.\nAnswer: 11, 37, 79, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 103 + -70. What is the greatest common factor of t and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.93 and -2994583?\nAnswer: 2994581.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + q + 216. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5241522 is divided by 1310378?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (48\/(-196))\/(8\/(-56)). Let u(b) be the first derivative of -6\/7*b**4 - 4\/35*b**5 + 36\/7*b - 32\/21*b**3 - 2 + l*b**2. What is z in u(z) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 3*l - 60. Suppose -5*t + 117 = g, -4*t + 117 = g - t. Let v = g + -79. Calculate the remainder when v is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 - 2*f**2 - 23*f**2)*(5 - 4 + 2*f + 0).\nAnswer: -46*f**3 - 23*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23502 is divided by 511.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**3 + 3*p**3 - 2*p**3)*(-42 - 6 + 5) + (2*p - 1 + 1)*(-4*p**2 + 5*p**2 + 7*p**2).\nAnswer: 59*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.0476 + 0.4476. What is the third biggest value in -1, b, 6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2*n = -278, 0 = 5*h - 3*n + 152 - 647. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2\/5 - 2528*q\/5 - 798848\/5.\nAnswer: -2*(q + 632)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 4:15 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*2*((sqrt(567) - (-1 + sqrt(567) + 0))**2 - ((-1 + sqrt(567))**2 + 4) - ((-2 + sqrt(567))*6 + 4)**2).\nAnswer: -1764*sqrt(7) + 42094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4*(0 - 10) + (207\/(-23))\/(-3). Let o(j) = 49*j**2 - 4*j - 5. Let w be o(-4). Suppose u*k = 40*k + w. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/762 and 19\/18.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(832) - (sqrt(832) - (sqrt(832) + 0))) - sqrt(832)*2*-2)**2.\nAnswer: -240*sqrt(13) + 20809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.7?  (a) -2\/11  (b) -0.2  (c) 4  (d) -1\/63  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*y**2 + 10580*y - 10575.\nAnswer: -5*(y - 2115)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -19*p + 94. Determine u(10).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 2. Suppose 4*u - 91 - 1 = -3*d, 2*u - k*d = 46. What is the remainder when 67 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2 - 8*t - 4. Let z = -238 + 238. Suppose 11*n - 8*n = 4*w - 317, -w + 2*n + 78 = z. What is the least common multiple of w and g(-3)?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 413854?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 250*j - 42. Let c(r) = -224*r + 35. Let s(n) = 6*c(n) + 5*g(n). Let o(v) = 8*v + 5. What is o(s(y))?\nAnswer: -752*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z + 7. Let p = 0 + -4. Let y be m(p). Suppose -2*o = -y*o + 14. What is the remainder when 37 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in 0.4, -4, 0.2, -5, -51?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-49)\/(-5)*5*-1*58\/203.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 AM and 10:57 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/7 - 628*z\/7 - 1248\/7.\nAnswer: -2*(z + 2)*(z + 312)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 783140, 783039, 782948, 782873, 782820?\n\"Answer: g**3 - g**2 - 105*g + 783245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -235 = -68*j + 21*j. Solve -7*g = -j + 33 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 84 + -84. Let p be 10\/(-45) - (-86)\/306. Put y, p, -2 in decreasing order.\nAnswer: p, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*g**2 + 2*g**3 - 21*g**2 - 4*g**3 + 1 as j*g + l*g**3 + y*g**2 + r and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 968353 (base 11) to base 9\nAnswer: 2818865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 1\/7  (c) 0.2  (d) -2\/197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -160*r + 7*r**2 + 159*r - r**2 as d + i*r**2 + z*r and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2211011 + 0.08\nAnswer: -2211010.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, t: 1, r: 8, u: 1, h: 3, b: 2}. What is prob of sequence obr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of 5*g**3\/3 + 1227. Let t(w) = -w**2 - 51*w. Give j(t(o)).\nAnswer: 5*o**4 + 510*o**3 + 13005*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 163334099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f**2 + 3*f + 10. Let j be h(5). Suppose -3*l = -k + 15, -5*l - j = -k - 4*k. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -213 + 2302213330?\nAnswer: 2302213111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -999*b**2 + b - 10. Let t(k) = -32*k. Give t(h(v)).\nAnswer: 31968*v**2 - 32*v + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of 337*p**5 + 937*p**3\/3 + 1909. What is the third derivative of i(o) wrt o?\nAnswer: 40440*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 22 + 0)*(-u**2 + 2*u**2 - 2*u**2) - 131 - 14*u**2 + 131 in the form z*u + d*u**2 + f and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3111322102 (base 4) to base 16\nAnswer: d5e92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 381 - 123 = 0. Let a = 41 - g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2512000 by -1600.\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2324 is divided by 180?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**4*x**(6\/5))\/(x*x**(-3\/5)\/x*x*x*x**(-2\/3))*((x**(3\/7)\/x)**(-15\/4))**10 assuming x is positive.\nAnswer: x**(2719\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzzzzzz. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1339)\/195 - (-5)\/((-675)\/18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11011101010 (base 2) to base 3.\nAnswer: 2102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qcc when three letters picked without replacement from qqqqqqqcqcqqqqqqqqq.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5\/(-15)*6)\/(-1). Solve -q + 5*a = 8, 0 = 5*a - v - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (9 - 0 - 23)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -3\/7  (b) -2\/5  (c) 4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve c**3\/3 + 5928473*c**2\/3 + 11856943*c\/3 + 1976157 = 0.\nAnswer: -5928471, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -47832716 greater than or equal to -47832717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 999, -5, 9, 27, -2.\nAnswer: -5, -2, 9, 27, 999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of -3\/2*o**2 + 682\/3*o**3 + 6*o + 0. Is x(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 6:58 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -424581 * 26.\nAnswer: -11039106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -16153 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31 (base 7) to base 11.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 126000001*a**2 - 13*a - 48. Let t be i(-3). Suppose t = -32*h + 18*h. Round h to the nearest one million.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of f**5\/60 + 7*f**4\/12 - 5*f**3\/6 + f**2. Let c be s(-6). Let q = -48 - c. Solve -k + 3*o + 2 = -1, 0 = -4*k - q*o - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 240*j + 3750 = -510*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*o**2 - 21*o**2 - 15*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 33232872657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.78461*0.5.\nAnswer: -0.392305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i**4\/4 - 18317*i**3\/2 - 622569*i**2\/4 - 732356*i - 585872 = 0. What is i?\nAnswer: -36617, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 10 - 6)*(2*z**3 - z**3 - 2*z**3 + 21*z**5).\nAnswer: -231*z**5 + 11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.59 + -0.01. Let v = y + 32.6. Let a = -3\/115 - 4\/23. What is the third smallest value in 4, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4841*c + 720 = -4881*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of j**3*y - 206416*j**3 - 8*j**2*y - 37*j*y - 15 wrt j?\nAnswer: 6*y - 1238496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.013 or 11656?\nAnswer: -2.013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 3*t**2 + 10*t. Let w(v) = -2*v**2 - 13*v**2 + 40*v + 27*v**2. Let o(a) = -9*k(a) + 2*w(a). Find the second derivative of o(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by -1254.\nAnswer: -4\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 4*m = 40, u + 3*u - m = 36. Let s(o) = o**3 - 8*o**2 - o + 10. Let l be s(u). Let k(t) = -l + 0 + t + 3. Give k(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 22787134490 and 44.2.\nAnswer: 22787134534.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -1923993.\nAnswer: 4\/1923993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -2 - -1 - (5 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 0 + 1 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 41124956 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.034 - -2.066. Let a = z + -2. Let q = a + 0. What is q rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4426060 is divided by 558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14260 divided by -4.\nAnswer: -3565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 - 9*h**2 + h + 7. Give j(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*22959.\nAnswer: -6887.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) 9\/14  (b) -1  (c) -29\/8  (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of g**4\/4 - 5*g**3\/6 - 17*g**2\/2 + 2*g. Does 31 divide k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 34*g - 17*g - 10*g + 63. Let x be a(-8). Suppose -2*y = -2*n - 2, -2*n + 5*y + 3 = 14. Solve -n*r + 1 = -x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 + 165*m + 10. Calculate d(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-94)\/6)\/((-124)\/(-13392)*-36)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from {d: 1, q: 4, p: 1, m: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 72*d**2. Let m = -47 + 46. What is x(m)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -36527, -36099, -35671?\n\"Answer: 428*m - 36955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -8*i**3 + 4*i**2 - 36*i + 1. Let d be h(-5). Calculate the greatest common divisor of 147 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32*t - 1796 + 1796 - t + 2*t - 2*t + (-2 + 3 - 2)*(t - t + t) + 1 - t - 1)*(-2 + 1 + 0).\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13952 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - 5. Suppose 0 = 2*y + 3*y - 5. What is the derivative of a*r + 3 - 3 + y - 4*r wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/((-54)\/(-12) - 4). Let q(s) be the second derivative of 0*s**y + 4*s - 1\/12*s**4 + 0 + 1\/6*s**3. Factor q(p).\nAnswer: -p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -276 + 277. What is the nearest to b in 3\/4, -63, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 + 7*a - 3. Let l be r(5). Let h be (l - 7)\/(2\/(-1)). Let t(v) = v - 3. Let u be t(8). Sort u, 6, h in descending order.\nAnswer: 6, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17452649 = 30*p + 36*p - 5*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8 + 8 + f + (0*f + 3*f - f)*(-1 + 2 - 9).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4\/5381 + 11778989\/26905. Let l = 435 - d. Let k = -1811132\/220275 - 2\/24475. Find the common denominator of l and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -117*i**2 + 56*i**2 + 59*i**2 to the form a + l*i**2 + m*i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*g + 7 - 7)*(-25 + 25 - 8*g) - g**2 + 3*g**2 - 3*g**2 - 11*g**2 - 44*g**2 + 85*g - 85*g - 19*g**2 as q*g**2 + i*g + s and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jznennnvennnnnvvvnn. What is prob of sequence eenj?\nAnswer: 11\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*m**4 + 4035*m**3 + 38904*m**2 - 20460*m = 0.\nAnswer: -10, 0, 1\/2, 682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 12 = -6*y. Suppose -20*o - 15 + 115 = 0. Suppose -o*x + 8 = 4*w, -2*x - 3*x + 5*w = -35. Solve -n - x*p = -7, -y*n + 2*p = 6*p - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 908 - 1206. Let w = z + 297.8. Let u = 8 - 1. Which is the biggest value?  (a) 4  (b) u  (c) w  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3240 - -30?\nAnswer: -3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**4 - 96*g**3 - 438*g**2 - 344*g.\nAnswer: -2*g*(g + 1)*(g + 4)*(g + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 112 and 256?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 303, 792, 1303, 1848, 2439?\nAnswer: 3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 6696526961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of 3*k**2 + 4*k - 135. Calculate u(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2129226989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -3*f**2. Let w(m) be the first derivative of 11*m**3\/3 + 1. Determine w(q(c)).\nAnswer: 99*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(-1\/2)*p))**(36\/7)\/(p**(-7\/5)\/p**(-3\/2)) assuming p is positive.\nAnswer: p**(-547\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209)*-2)\/sqrt(11) - sqrt(19) - ((sqrt(228) + -2*sqrt(228) + sqrt(228))\/sqrt(12) - sqrt(19)))**2 + 2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-142)\/(-6))\/((-5)\/(-6)). Let i be (-32627)\/1680 + 90\/(-10). Let t = l + i. Is 0 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010010101001 - -1001110000011?\nAnswer: 10100000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 + 12*f - 3. Let l be i(12). Is (l - 72\/(-30)) + (-213)\/(-5) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/(-108))\/((-36)\/(-162)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-846)\/13113*2\/4*2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l**3 + 17*l**2 + 28*l + 19. Determine c(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 12:24 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -213576, -853931, -1921190, -3415353?\nAnswer: -5336420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2984, 3626, 4612, 5942?\n\"Answer: 172*y**2 + 126*y + 2686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f**3 + 22*f**2 + 229*f - 369. Let x = 131 - 67. What is the least common multiple of r(17) and x?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {e: 6, i: 4, h: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 + 4*u + 4. Let f be h(-3). Suppose -6 = 2*m - 0*m, 0 = 2*g + 3*m + f. Factor 2*v**2 + 5 + 3 - g*v - 6.\nAnswer: 2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 33 = -5*x, -h = 2*x - 0*x - 9. Suppose -x*c + 12 = -2*c. Let s = -68922 - -68921. Sort s, 1, c, -5 in ascending order.\nAnswer: -5, s, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-5)\/(-5))\/(4\/292) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g + 3. Let a be w(3). Let u be (4000\/4)\/(a\/(-186)). What is u rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mdm when three letters picked without replacement from {m: 3, d: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 10 + 10. Suppose b*k - 52 + 9 = 3*n, n + 2*k + 21 = 0. Let r = 33 + n. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19136\/(-3588)*(-21)\/(-308)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/9  (b) 0  (c) -0.058  (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2. Let h(r) = -2997358 + 2997325 + 3*r - 2*r**2 - 4*r. Determine h(d(x)).\nAnswer: -2*x**4 - x**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (6 - (-26 + 24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of d**3\/6 + 11*d**2\/2 - d. Suppose 5*j = 4*y - 36, 13 = 23*j - 25*j + 3*y. Let p be g(j). Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*s + 1250 - 1250 as i + f*s and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 2:12 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 313, 423, 531, 637, 741, 843, 943?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 644737 is divided by 161174.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3457016 divided by -4\nAnswer: -864254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 12:25 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50512, 101027, 151542?\nAnswer: 202057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, g: 13}. What is prob of sequence gq?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**2 + 5163755*r\/4 + 1694364.\nAnswer: -(r - 322736)*(16*r + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 274176 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 197204, 197207, 197212, 197219?\nAnswer: 197228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -6968?\nAnswer: -1\/871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*z - 836*z**3 + 848*z**3 + 8*z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.033 - 5.967. What is the second smallest value in 1\/7, -1, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 1337*t + 1335*t = -8, 5*v - 2*t = -16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2257714*0.13\nAnswer: 293502.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/(-2)*(-2340)\/(-2574)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 268, 274, 292, 328, 388, 478, 604?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 5, n: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5468043 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*s + 4*a, 286*s + 5*a = 281*s + 50 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 1 = 2*b + 16, 0 = -4*m - 5*b + 73. Let s(q) = q**3 - 8*q**2 + 4*q + 1. What is the remainder when s(8) is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64 - 4*n**3 + 13*n**3 + 65 - 6*n**3 + 0*n**3.\nAnswer: 3*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*i - 31 + i**3 + 89322*i**2 + i**4 - 89322*i**2 to w*i**3 + a*i**4 + k*i**2 + z + s*i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 0*v - 33. Let f(o) = -3*o - 156. Let l be f(31). Let g = l - -281. What is the remainder when g is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g - 7. Let i be u(-11). What is the third smallest value in -2\/3, i, 3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6008 rounded to two decimal places?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -78.37244*3\nAnswer: -235.11732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 27*v**3 - 2*v**3 + 4*v**3 + 7*v**3 - 2*v - 61 wrt v.\nAnswer: 108*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 801, 3577, 8309, 14985, 23593, 34121?\nAnswer: 46557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 44 + 43. Let p(j) = -14*j + x + 18*j + 4. What is p(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - o = -58. Let b = -20 - o. Let v be (-61)\/(-7) - 2\/(-7). What is the greatest common divisor of b and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1455*g + 51*g - 32766 + 10176 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 45 or 7634754?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*a + 18*a + 28996. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/2*(-5)\/(-5))\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -187*s = -579*s + 422817864. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -3*v - a, 0 = -5*v + a - 7 - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34 and 360388304.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 769 - 189 = 10*t. Let m = -53 + t. Find the first derivative of -2*y - 5 - 2 + m*y - y wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -3*q + 1. Let d(p) be the third derivative of -p**4\/6 + p**3\/3 + p**2. Let w = 96 - 121. Let u be 5\/(w\/17) + (-4)\/(-10). Give u*b(a) + 2*d(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) 11  (c) 2  (d) -1  (e) 0.03  (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*i - w, i - 27 = -w - 4*w. Suppose 0 = -4*d - i*l + 184, 4 - 24 = -5*l. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10d052 (base 16) to base 10\nAnswer: -1101906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 4, 0.3, 4\/13, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.122 + -2.122. Let t = 11.9529 - 0.0529. Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 8836, 8834, 8832, 8830, 8828?\n\"Answer: -2*c + 8838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (148\/111)\/(2*14\/(-12))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 56\/(-3432) - (-10 - 774\/(-78)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvhvvvhvvvvvvvvvvv. What is prob of picking 2 v?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/15  (b) -1\/3  (c) -6  (d) 4  (e) -5\/2  (f) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 61\/35 + -8*(-23)\/(-115)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3114\/3633*420\/8?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, -191 in descending order.\nAnswer: 4, -5, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50*5\/(375\/15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 0 + 4. Let i(n) = n**2 + 2*n + 2. Let w be i(y). Suppose 55 = 5*b + 4*l, w*b - 4*l - 12 = 38. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 20*o**2 - 24*o - 61. Let f be b(-21). Suppose 0 = 2*k + f*k - 1584. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 780, 1643, 2504, 3363, 4220?\n\"Answer: -h**2 + 866*h - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7166 = 194*y - 6733 + 3617 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of 5*r**6\/6 - r**5 - 5*r**4\/4 + 5*r**3\/3 - 3. Find h, given that g(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-1\/3)*a)\/a*a\/a**(-2\/9))**(-15\/8)*(a**(2\/13)*a*(a*a**(-3))\/a*a*a)**41 assuming a is positive.\nAnswer: a**(863\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15436052, 30872055, 46308058, 61744061, 77180064, 92616067?\nAnswer: 108052070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9660.681 micrograms in tonnes?\nAnswer: 0.000000009660681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -586992*h*x**2*z**2 - 2*h*x*z**3 - 3*h*x*z**2 - 10924*x**3*z**3 - x**3*z + x**2*z**3 + 2*x*z**2 wrt z.\nAnswer: -12*h*x - 65544*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + 8*c**2 + 12*c - 8. Let r be u(-5). Suppose r*h + 5*h - 67548 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3893 - -3895. Let v = 4\/7 - 27\/35. Put v, -0.4, t, -6 in descending order.\nAnswer: t, v, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -4*y - 4*t + 169, 5*y + 2*t = 167. Let u be (0*1\/(-4))\/(-2). Suppose u = 5*z - 23 - 307. What is the greatest common factor of y and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 735.15996 + -167.5173\nAnswer: 567.64266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 2. Suppose l*j = -0*j + 12. 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: Simplify (-2 + -2*(sqrt(125) + -1 + 2) + -5 + 1 + sqrt(125) + sqrt(125) + (1*sqrt(125) - sqrt(125))*3 + sqrt(125))**2.\nAnswer: -80*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 204 and 2.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 240840 and 107190.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -21, 18, 3, -8, 4 in descending order.\nAnswer: 18, 4, 3, 1, -2, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 7:53 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*6\/(-20))\/3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*i + 12 = -36 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and 0.6075334.\nAnswer: 4.6075334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1194 - 1107 = 5*z - 34*q - 53*q, 2 = -2*q - 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 8288*n - 66376. Determine q(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -12*(-30)\/54*36\/5. Suppose -3*t - t - 3*i - d = 0, i = 0. Let u(j) = -12*j - 42. List the prime factors of u(t).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0253521 rounded to 4 decimal places?\nAnswer: -0.0254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 1:42 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -188*x + 190*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 754.5133 millimeters to centimeters.\nAnswer: 75.45133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 3*z + 63. Let g be y(-25). Let d(t) = -2*t**2 - 10*t + 12. Let j(f) = -f**2 - 4*f + 5. Determine g*j(w) + 5*d(w).\nAnswer: 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1747906*q**4 + 2350906*q - 2.\nAnswer: 20974872*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence usw when three letters picked without replacement from dhusw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - -3) + 759\/(-420). Let d = -2\/35 - j. Which is the closest to d?  (a) 0.2  (b) -1  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20024411*23\nAnswer: 460561453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h. Let s(l) = 312*l. What is -1365*r(b) - 5*s(b)?\nAnswer: -195*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*a - 51. Let y be ((-8)\/5 - -2)\/((-29)\/(-290)). Suppose l - a = -y*m - l, 3*l = 15. Solve -3*w = m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5928 = -35*h + 120*h + 162*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -131569.4665 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 5*i**2 + 72*i + 400. Let w be a(-8). Solve 3*j - 9*q - 31 = -13*q, -4*j = -q - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-225))\/((-4268)\/19206).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 218 and 17419399.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1\/731 + 2921\/2193. Is n greater than -1347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 42421832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/722 and -29\/37808.\nAnswer: 13648688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of -a**8\/1848 + a**7\/231 - 7*a**6\/660 + a**5\/110 - a**2 + 72*a. Find k such that n(k) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/9)\/((-1076)\/(-1614))*18*(-6)\/(-16).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 7:43 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14953 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-29 - (-5012)\/196)\/((-244)\/(-84) - 3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.57 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 3*i**2 - 7*i - 7. Let k be n(-1). Which is greater: -9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 221626161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11 - (2 - 6)) + 4 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/21  (b) -62\/145  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*a + 14 - 6*a - 12 + (-2 + 0 + 4)*(-a + 2*a + a) + 0*a + a - 2*a + 4*a - a - 2*a + 2 + 0*a + 4*a - 3*a as o*a + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wnn when three letters picked without replacement from {w: 5, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 2*x - 2 = 1, -3*t + 6 = 5*x. Let c(l) = 2*l**2 + 2*l. Let g be c(t). Suppose 0 = 3*b - 6 - g. Calculate the highest common divisor of b and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*g*t**2 + 46731*g*t + 54723021*g + 17*t**2 wrt t.\nAnswer: 16*g*t + 46731*g + 34*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -391*b + 13 - 390*b - 388*b + 1554*b - 389*b. Suppose -3*k = -0*k + 18. List the prime factors of t(k).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 263 + 182 = 4*a + 5*h, -a + 3*h = -90. Suppose -a = 3*o - 15. Let v be 1480645\/o*-31 - (-1)\/6. What is v rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 4*q = 23, -4*z - 106043 = -9*q - 105851 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 47*r**5 - 3*r**3 + 2*r**3 + 3680*r**2 - 3636*r**2 wrt r.\nAnswer: 2820*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sbs when three letters picked without replacement from {c: 2, l: 3, s: 6, b: 3, u: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63206390?\nAnswer: 2, 5, 13, 486203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*m + 21 = 66*m. Let f(o) = -2*o**2 + 43*o - 21. Let p be f(m). Sort p, -2, 45, 5 in decreasing order.\nAnswer: 45, 5, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 35 = -2*q, -2*q - 2*b = -32 - 6. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 7. What is the tens digit of 12*f*6\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -156*g - 15444. Let r be k(-99). What is the closest to r in 2\/31, -30, -5\/2, -1\/6?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -3*o - 3 - 0, -2*o + 4*v + 2 = 0. Let n(h) = 3*h**3 + h**2 + 5*h - 1. Let i(b) = b**3 + b. What is o*i(f) + n(f)?\nAnswer: -2*f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -59 + 67. Which is the closest to -0.06?  (a) -0.4  (b) 2\/5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3428 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 5*g**2 - 2)*(-5*g + 0*g + 2*g)*(-4 + 3 + 0).\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68, 56, 14, -76, -232, -472?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 2*i**2 + i + 1. Let a = -17 - -16. Let x be j(a). What is the third derivative of w**2 - 4*w**x + 3*w**2 + 2*w**2 + 4*w**4 wrt w?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15224*d + 15239*d - 182910. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1012 - -2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -5 + x**2 - 13*x + 1 + x**3 + 16*x - 3*x**2. Let a be v(2). Solve -a*k + 3*k + 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 + -1. Let o be 14*(-3*85\/(-105) - 1). Suppose o = -4*t - 6*g + 5*g, g - 10 = 2*t. Put -3, t, b in descending order.\nAnswer: b, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 8:04 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - -11 - (100 + -75).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 2 h when four letters picked without replacement from {r: 11, s: 6, h: 2}?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 47, 186, 419, 746, 1167, 1682?\n\"Answer: 47*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - -130134?\nAnswer: 130141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/108 + 4318\/36. What is the highest common divisor of 30 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 25, 43, 65, 91, 121?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((0 - -2)\/(-1))\/(2\/(-46))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 30213344?\nAnswer: -30213400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -52, -81, -116?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(448) + 2)*-6)**2*-4.\nAnswer: -65088 - 4608*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/9171 and 59\/157945.\nAnswer: 1421505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27916 is divided by 13925?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -50da7d (base 14) in base 15?\nAnswer: -38ce5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l - 1. Let x(i) be the first derivative of -5*i**2\/2 + 7*i - 9. Calculate 28*m(d) + 4*x(d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 2*m + 2. What is the biggest value in -2\/9, -1\/4, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 211*p**2 - 25*p - 3?\nAnswer: 422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n**3 + n**2 + n + 562. Let r be z(0). Suppose -5*t = 3*v - 3228 - r, -v = t - 760. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {x: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 110 = 6*z. Let f be 4\/(-22) - 48\/z. Solve -2*a = s - 3, s + f*a = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123254 (base 7) to base 9.\nAnswer: 34215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(5760))\/(sqrt(72)*-1 + -5*(sqrt(32) - sqrt(2)) + sqrt(2)))**2.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((1\/18)\/((-78)\/351))\/(2\/4). Which is the smallest value?  (a) 3  (b) -30  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5542 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.4147 rounded to two decimal places?\nAnswer: -5.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1414 by 7.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, 0.07, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(2 + 2 + -4 + sqrt(891) + 2))**2.\nAnswer: 36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*s**5 + 23341412*s**2 + 261993488*s wrt s?\nAnswer: 120*s**3 + 46682824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 366 = -n. Let x be n\/24 - (-10)\/60. Is 6 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/7 - 7\/((-49)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-10)\/(-15))\/((-4)\/(-18)) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 13, -2\/97?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 25 = 0, 0 = 3*g + 2*i - 5 - 5. Solve -3*f - 111 = -k - 126, f + 5*k - 5 = g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - 1 + 1)*(0*p + 0*p + 3*p) - 55*p + 31*p - 15*p**2 + 27*p + (-5*p + p + 5*p)*(0*p + 5*p - 4*p).\nAnswer: -8*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -210128 greater than or equal to -210128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 850.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2194825471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 - 9*b**2 + 10*b**2)*(-2*b**3 + 2*b**2 - 2*b**2)*(-5 + 2 + 4).\nAnswer: -2*b**5 + 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1142 divided by -97\nAnswer: 1142\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 18 + -51a?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-19)\/(-3))\/((-2)\/(-6)) is divided by (5\/2 + 0)\/(1\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = 4*f + 3*t - 20, 3*f - t = -6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6.37 - 1.37. Let p = -0.8 - -10.8. Let u = c - p. Put 4, u, -0.2 in decreasing order.\nAnswer: 4, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {l: 1, a: 6, c: 4, p: 6, s: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -4.731.\nAnswer: 1.8924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.062 - -36.062. Let n = 43.568991 + -79.569037. Let t = w + n. What is t rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 3*h**3 - 195486*h + 96034*h + 97504*h to p + m*h**2 + x*h**3 + n*h and give n.\nAnswer: -1948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 20 = p, 2*p = 3*f - 13 + 38. Suppose -q = -2*q + a + p, 5*q - 84 = 4*a. Suppose 3*j - 4 = 14. Calculate the remainder when q is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2 + (-1 + sqrt(128))**2 + (((sqrt(2) + -1 - sqrt(2)) + 1)**2 + 1)*3).\nAnswer: -16*sqrt(2) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 506\/(-132)*(-780)\/(-130).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-18) + -4 + (-2672)\/(-36). Let w = 44 - k. Let i be (-4 - -3)*5 - -6. Put 5, i, w in descending order.\nAnswer: 5, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*m - 515 - 1565 = 0. Let k be ((-65)\/m)\/((-15)\/(-24)). Factor 2\/9*o + 2\/9*o**k - 4\/3.\nAnswer: 2*(o - 2)*(o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -32.932 - -17.318. Let a = p - 2.176. What is a rounded to 0 decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-3)\/126*3*-8\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23175797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x + 3. Let r be p(0). Suppose 5*k - 200 = k. Suppose 0 = g - 0*g - c - 22, r*g - k = -c. Solve -s + g = -4*b, b - 2 = -7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3332749 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -386 - -385.9614. Let d = -0.04 - o. What is d rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 6 = -5*q. Let c(k) = 3*k - 1. Let v be c(q). Suppose 3*p + 3*w = 47 + 7, -v*p - w = -106. What is the smallest common multiple of 22 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(((sqrt(5) - sqrt(20)\/sqrt(4)) + -4 + sqrt(5))**2 + (sqrt(35)\/(sqrt(7) + sqrt(63)))**2) - (sqrt(15)\/sqrt(12) + 0 + -4)) + 0)*-1.\nAnswer: -15*sqrt(5)\/2 + 277\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 22 = m, 809*m + 23 = 810*m - 4*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27686219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(52) + sqrt(52) + sqrt(13))*1.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -3*u**2 + 35*u. Give n(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 178, 165, 152?\n\"Answer: -13*p + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 r when four letters picked without replacement from eermmrer.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 14\/(-4)*(-16)\/28. Suppose 0 = 4*h - t - 18, -n*h + h + 6 = -t. Let j(k) = 2*k - 5. What is j(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1353670720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1719 + 1724. Which is the biggest value?  (a) -2  (b) -1  (c) 0.07  (d) 1\/3  (e) o\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008)*-2 + -5 - -4*(-1 + sqrt(1008)) - ((sqrt(1008) - (sqrt(1008) + sqrt(1008)*-2))**2 + 4 + -4))*3.\nAnswer: -12123 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 2\/11, 15.22, -8 in descending order.\nAnswer: 15.22, 2\/11, -8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -7*f**2 - 7*f + 1. Let n(i) = -11*i**2 - 11*i + 2. Let s(d) = -8*l(d) + 5*n(d). Let h be s(4). Solve w - h = 5*q, -q - 3*q = 3*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 302929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/8 smaller than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4*w - 1 = 1, 3*w = -4*t + 9. Let d be (-200)\/(-48) - 1\/t. What is the highest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11355 - 11360.796. Round f to 1 decimal place.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3045?\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*c + 7 = 75 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - s = 6. Solve i + i + s = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1535 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 16 - 94. Suppose -90 = -u - 4*u. Calculate the lowest common multiple of u and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18.4 - 18. Let t = -0.04 + -1.96. Let m(s) = s**2 + 5*s + 11. Let w be m(-3). Which is the smallest value?  (a) w  (b) k  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a - 8. Let s be z(5). Suppose s*w = 3*c + 6*w - 152, 0 = 2*w + 2. Calculate the remainder when c is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 + 11*y + 48. Is 18 a factor of g(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.08?  (a) -0.4  (b) -1086  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*x + 3*x + 3*x)*(-6*x - x + 7*x + 759*x**2 + 1133*x**2 + 3351*x**2) to the form f*x**3 + i*x + t*x**2 + w and give f.\nAnswer: 31458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 116496 and 16?\nAnswer: 116496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/2)\/(-14 - -13)*12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -256, -5, -0.3, -0.6, -0.1 in ascending order.\nAnswer: -256, -5, -0.6, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2)*(2 + 66*g - 71*g - 1).\nAnswer: 10*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**2 + 786*q - 8880. Calculate p(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 191 - 135. Is i a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 64066431*g**3 - 10315780*g**2 - 2*g?\nAnswer: 384398586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 7*b - 4 = -4*a, -b = 5*a - 13. Let v = -4 + a. Let k = 1 - 4. Do v and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/1691228 and 41\/50008?\nAnswer: 158975432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18813, 74644, 167689, 297942, 465397, 670048, 911889?\nAnswer: 1190914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -333 divided by -17?\nAnswer: 333\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -99*p - 79. Calculate d(-2).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (38\/304)\/(114\/(-48))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 5*r = 891, f - 4*r = -4*f - 1485. Calculate the common denominator of -14*(4\/22 - 45\/f) and (-14)\/18 - (-2)\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of 0*h + 0 + 7\/30*h**5 + 9*h**2 + 0*h**4 - 2\/3*h**3. Differentiate b(y) wrt y.\nAnswer: 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1594141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 49 - 45. Suppose g = t*s + 1078, 0 = 2*g + 2*s + s - 2200. What is the common denominator of 43\/4 and g\/140 + -1 - 2\/(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-279)\/(121086\/1085) + -9 + -1\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4363*t - 5*g = 4364*t - 7, 0 = -t - g - 9 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/3*j**4 + 2052 + 994\/3*j**2 + 1590*j + 26*j**3 = 0.\nAnswer: -19, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/8178 and 97\/7050?\nAnswer: 204450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -5*j**2 - 11*j - 9. Let m(r) = -r**2 - 2*r - 2. Let a(f) = 11*m(f) - 2*q(f). Let d = -15 + 13. Let h = d - -2. Calculate a(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -531576 (base 8) in base 16?\nAnswer: -2b37e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 - 17*g - 2. What is b(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 317*v + 74. Is j(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5744 + -5742. Solve 0 = -q + 9*k - 4*k + 20, 0 = -f*k - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t**3 + 15*t**2 + 6*t - 3. Let v = 10 - 2. Let g(q) = 3*q**3 + 23*q**2 + 9*q - 5. Let f(w) = v*c(w) - 5*g(w). Let x = 5 + -8. What is f(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 - 4*b**2 - 3*b - 3. Let y be d(-3). Suppose a - 412 = 2*l, 0 = -2*a + 3*a + 2*l - 392. Is (1\/y)\/((-2)\/a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirty-three fifths of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 3:59 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/2946438 and 55\/69.\nAnswer: 2946438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ababaaaaav. What is prob of sequence bvab?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42 + 9 - 51 + 114*y.\nAnswer: 114*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(1\/2)\/s)\/s**(-14)*(s**(2\/3))**21)**(-38))**(-9\/8) assuming s is positive.\nAnswer: s**(9405\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -5883100 to the nearest 100000.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(7\/6)*s**(-1\/4)*s assuming s is positive.\nAnswer: s**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 + 3*z**2 + 20*z + 5. Suppose 0*r = 3*r - 12. Calculate the remainder when j(r) is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1061 divided by -31571.\nAnswer: 1061\/31571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 85 - (-30 - -40 - 4 - 19)) + 3\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 - -19. Let w = h + 53. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*s - 1 - 159 = 10 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1353006 and 1476?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 119088 and 218328.\nAnswer: 1309968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -0.1  (b) -2\/77  (c) 1  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19*x**3 + 43*x**3 - 4 - 3*x**2 - 23*x**3 - x + (-4 + 4 + 15*x)*(-x**2 + 0*x**2 + 4*x**2).\nAnswer: 46*x**3 - 3*x**2 - x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 32*q**3 + 96*q**2 - 96*q**2 - 6*q**3 + 3*q**3 + 2*q**3 + (3*q - 3*q + q)*(-16 + 16 - 4*q**2).\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (16\/(-10))\/(28\/70). Calculate the remainder when ((-1002)\/(-12) + o)*2 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 456\/(-1248)*4*13?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*v - 2 + v + 0*v + 0*v + (v - 5*v + 2*v)*(-4 + 6 - 4) + v - 2*v - v)*(0*v - 5*v - v + (3 + 3 - 4)*(-v + 1 - 1) + (-7*v + 2*v - v)*(-5 + 5 + 5)).\nAnswer: -190*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 4 = -11. Suppose p*v - 91 = 11. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -137 + -129093?\nAnswer: -129230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -697*t**6 + 2*t**4 - 3148*t**2.\nAnswer: -83640*t**3 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 13. Let l(z) = -70*z - 86. Let k be l(9). Let h = -716 - k. Which is the nearest to h?  (a) -0.2  (b) w  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yhzzhdhbhhhoddoodb. What is prob of sequence ydb?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 829711 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 41548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 212\/2277 + -2701\/4554. Let c = -4 - -7. What is the nearest to 1 in c, o, -88?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -149, -350, -567, -812, -1097, -1434, -1835?\nAnswer: -2312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 5*m - 201, -4*h + 4*m = 65 - 261. Solve h = -5*p + 44 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 4*p + 25. Calculate z(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1724571.9ms?\nAnswer: 0.47904775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z + 23. Calculate the remainder when 7 is divided by w(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 4. Suppose 4*l + c + 17 = 0, w*l + 5*c + 13 = 4*c. Does 18 divide (144\/10)\/(l\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in 0.4, 1\/4, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 8*n - 3*n. Let j(o) = -5*o - 3*o**3 - 88 + 2*o**3 + 4*o**2 + 90. Calculate j(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 5:57 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, 3, -49, -24, -1, -5 in decreasing order.\nAnswer: 34, 3, -1, -5, -24, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50, -54, -60, -68, -78, -90, -104?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 18  (b) -1\/4  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.08 - -0.02269024208512.\nAnswer: -0.05730975791488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 4*z + 5596. What is the units digit of l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28658 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -63*t**2 + 7499*t - 150. Calculate p(119).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 782*o = 241*o - 9861 - 10394 - 11664 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -49 + (-7076)\/(-124) - (-8)\/(-1).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 2:40 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-87)\/(-261))\/((-1)\/3). Let g(p) = -13*p**3 + 2*p + 1. Calculate g(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 AM and 6:59 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3622837512 to the power of 1\/3, to the nearest integer?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3a0 (base 16) to base 14.\nAnswer: -4a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16665 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 512385420 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -99 divided by 5\nAnswer: -99\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 146.7 from -44072.038.\nAnswer: -44218.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102 - 211101022?\nAnswer: -211100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4665 + 3210?\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + (-4)\/10 + (-18)\/(-45). Suppose 4*v = -l + 9. Solve -9*a + v = -7*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 7*r**3 + r**2 - 3*r + 2. Let s be o(2). Suppose -18 = -2*c - 3*u + u, 4*c - u - s = 0. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13435444 - -2?\nAnswer: 13435450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 180 = 5*j, 2*t + j + 45 = t. Let f = -137\/3 - t. Let a be -2 + 1 - (-3)\/12. Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7503 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*j*l**2*r**3 - j*l**2*r**2 + 274*j*l*r**2 - 3*j*r**3 - 59*l**2*r**3 + 34*l**2*r**2 wrt r.\nAnswer: 54*j*l**2 - 18*j - 354*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11101001010011 (base 2) in base 16?\nAnswer: 3a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3480\/45675*224\/128\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 307848.\nAnswer: 2, 3, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4512619 is divided by 3997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*o + 22*o - o**3 + 4*o**3 - 27*o + 21*o - 295*o**2 to h + d*o + s*o**3 + z*o**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1310 (base 5) in base 12?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (32\/(-90))\/((-2024)\/5060)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, -23, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11521379599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125853578?\nAnswer: 2, 62926789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.6156 - 2.067. What is g rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/25*-190 + 2\/(-10). What is the least common multiple of (22\/6)\/(1\/k) and 50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 76, 148, 220, 292, 364?\n\"Answer: 72*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -0.4  (c) 5  (d) -204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-8) - 17\/(-4). Let r(s) = -s + 12. Let n be r(q). Let i = 1938 + -1934. Solve w + 2*w + n = -i*m, -w = m + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*i = 301 + 643. Let g(m) = -m**2 - 18*m - 37. Determine g(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34.74 - 0.36. Let i = -35 - x. What is the closest to 3\/4 in 1\/2, -5, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 7*z - 8. Let x be 1\/5 + ((-96)\/(-20) - -1). Let k(c) = -6*c + 7. What is x*k(w) + 5*v(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -2. Let o be ((-9)\/21)\/((-4950)\/770). Which is the closest to 1?  (a) s  (b) o  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*g**3*m**3*n**3 - 30*g**3*m + 58*g**2*m**3*n - g**2*m**2*n - g*m**2*n**3 wrt m?\nAnswer: -36*g**3*n**3 + 348*g**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from krogtqgqr. What is prob of sequence rt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.684 - -0.484. What is the nearest to -2 in 1\/3, l, 1\/5, 21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25174 + -25178. Sort -2\/21, 45, 0.2, g, -2\/5.\nAnswer: g, -2\/5, -2\/21, 0.2, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 - 2)*(-r - r + r + (2 + 2*r - 2)*(-2 + 2 + 1) + 0 - 6*r + 0).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1245, -1244, -1243, -1242, -1241, -1240?\nAnswer: -1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -36 - -86. Suppose -5*o = -h + 2*h - 60, h - 5*o = i. What is the greatest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (j - 2*j + 0*j)*(3 - 8 + 0) to the form b + n*j and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -135, -270, -405, -540?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 107 = 5*h + 16, 0 = 5*y - h - 121 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/15 + 104\/20. Find the third derivative of 42*l**4 - 42*l**4 + l**2 - l**g + 2*l**2 wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (18 - 21) + 0 + 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 - -41. Suppose 4*v = x*v - 994. What are the prime factors of v?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o and 1 k when four letters picked without replacement from {k: 1, l: 1, t: 1, o: 3, w: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -14*1*285\/6270*(3 - 2)*1\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 + 0*c**2 + c**2 + 0*c**2. Let k(n) = 14*n**2. Determine k(w(q)).\nAnswer: 56*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*n - 145 = -57. Solve 2*s + 4*y = 2*y - n, -5*y = 3*s + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 66068 and 16268.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -5*q**3 - 67*q**2 - 7*q + 6. Let n(k) = 22*k**3 + 270*k**2 + 31*k - 25. Give 3*n(t) + 13*y(t).\nAnswer: t**3 - 61*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -959664813 < -959664812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i*i**15*i))\/i)\/i**(-2\/7))\/(i*i\/i**(-5)*i*i*i**(4\/7)) assuming i is positive.\nAnswer: i**(-184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 21 + 20 + 3 - 11\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.9 - -0.5. Let y = p - -2.2. Let t be (-2)\/45*(-5)\/(-3)*6. Which is the closest to -0.1?  (a) y  (b) 0.4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -34*h**3 - 2*h**2 - h. Let d be p(-1). Let c = d + -24. Suppose -c = -4*v - 4*r + 191, 44 = v - r. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 449*g**2 + g + 1. Let h be z(1). Let r = -306 - -65. Let q = r + h. Calculate the highest common divisor of q and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.05491 rounded to three decimal places?\nAnswer: 1.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 0 + 6 = 0. Let o be (j - (-1 - 1)) + -7. What is the remainder when 29 is divided by o*(-1 - -1 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -1 + -3 + 5 + 10 + 11.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 7*y**3 - 1 - 4*y**2 + 3*y**2 - 3 - y in the form x*y + h + o*y**3 + v*y**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -11097, -44353, -99789, -177411, -277225, -399237, -543453?\n\"Answer: -i**3 - 11084*i**2 + 3*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 - -3 - (-3280 - -3188).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 813914?\nAnswer: 2, 29, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1782909*u + 1782923*u + 56 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2586 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10013894?\nAnswer: 2, 11, 455177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 5.6. Let d = -467.7305 - -467.3304994. Let u = l + d. Round u to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-6)*3)\/(2 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27082529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -180, -733, -1658, -2955, -4624?\n\"Answer: -186*w**2 + 5*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 - 13*l**2 + 11*l + 3. Let h = 8 - -3. Let o be f(h). Let u = -73 - o. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17796892.4 - 17796887.30000108. Let n = 142.9 + -148. Let s = o + n. What is s rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ape when three letters picked without replacement from {e: 2, n: 2, p: 12, z: 2, a: 1}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50\/(-1500)*-870*1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 4  (b) -0.27  (c) -5  (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4*y + 1128, y + 2*y - 2*p - 848 = 0. Suppose -10*q + 3*q = -y. Let b = -19 + q. Calculate the greatest common factor of b and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 456, 915, 1378, 1845, 2316, 2791?\nAnswer: 3270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-5 + 1*sqrt(2299) + 1)*1)**2.\nAnswer: -88*sqrt(19) + 2315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 - n - 1. Let p(g) = -8*g**2 - 8*g + 19. Let d(c) = -6*f(c) - p(c). Suppose 2*m - 4 = 4*m, -5*i - 67 = m. Does 13 divide d(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 324 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 = -7*p + 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of u**6\/120 + 67*u**5\/30 + 385*u**4\/2 + 1452*u**3 - 3667*u**2. Solve s(n) = 0.\nAnswer: -66, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 AM and 10:09 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-1*sqrt(448) - sqrt(448))**2.\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -12*x + 57. Let k be u(5). Let p(r) = r**2 - 2*r**2 + 0 + 4 - 5*r. Let q be p(k). Solve 4*g + q = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 5*m**2 + 4. Let c be d(-4). What is the highest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - a - 2*a)*(9*a + 3*a - 10*a + (3 - 5 - 17)*(4 - 2*a - 4) + 0 + 0 + 2*a)*(4 - 1 - 2).\nAnswer: -168*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*o + 12*o - 5*j + 55 = 0, 2*o - 4*j = 4. Determine f so that 3*f**5 - o*f**2 + 7*f**3 - 3*f**3 - 7*f**5 + 8*f**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 8:59 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 10 + -25 + 9 - -11 - -10\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11909 + -4124. What is the highest common divisor of r and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1026 - 411. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25 + 211. What is the remainder when d is divided by 2 + (2 + 7 - (-7 + 1 - (89 - 43)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 10*l**2 - 87*l - 21. Give f(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 140 and 144.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/9 and 149\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*d**2 + 13 + 2*d**3 - 3 - 8 + 10*d**2 + 22*d**4 in the form n*d**3 + o*d**4 + r + c*d**2 + f*d and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 5*c = -42, 4*c = -3*p + 498 - 533. Sort -16, -2\/5, p, -53, 0.1 in increasing order.\nAnswer: -53, -16, p, -2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 0.15  (c) 0.4  (d) 1\/2  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 15\/8 of a millennium?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, k: 1, q: 3, p: 3, d: 2, w: 3}. Give prob of sequence wffp.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.19 + -0.29. Let z = 19 - 20. Which is the closest to z?  (a) u  (b) 0.2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21590 is divided by 2398.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n - 2*n + 2*n**2 - 3*n**2 + 3 + 5*n. Let a(j) = -j**2 + 3*j + 5. Let u(d) = -3*a(d) + 5*h(d). Find the second derivative of u(q) wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 2573 and 0.2.\nAnswer: 2573.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3129?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*2\/3*-2. Suppose 4*r - z = -a - 3, 0 = -r - 4*a + 4. Solve 5*b + 2*v + 25 = 0, r*b + 4*v + 14 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12267 is divided by 10258?\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101986 is divided by 658.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31983 - 57437 + 18968 = -927*x for x.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -1. What is the second derivative of 2*a**h + a**2 + 0*a**2 - 2*a + 2*a**2 wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1383359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 32 = 16. Let a be t\/4*(4 - 3). What are the prime factors of ((-30)\/(-3) - a) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 3*v + 38, -2*v = 3*m - 27 - 4. Let i = 32 - m. Let w = i - 6. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -2*u**4\/11 - 8*u**3\/11 - 10*u**2\/11 - 4*u\/11 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 2:11 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 12713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9860 by -1.\nAnswer: -9860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10559711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -68.9999942 + 69. Round v to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36a1 (base 14) in base 8?\nAnswer: 22515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 9, 2, 0, -42, -105 in descending order.\nAnswer: 9, 2, 0, -5, -42, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 - 6*l**2 + 5*l - 12. Let w be a(-7). Suppose 0 = -w*b + 23 - 13. Calculate the least common multiple of 30 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4039 is divided by 238?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3*3 + -14 + 15. Solve 0 = y*x - 7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 68 - 59. Let f be 76\/(-18) - (-2)\/m - -5. Let l = -0.9 - -0.79. Put 2, f, l in increasing order.\nAnswer: l, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228) - 3*(sqrt(228)*2 + sqrt(228))) + sqrt(228) + sqrt(228))\/sqrt(12).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 12. Solve -3*q = -w*j + j + 15, 3*q - 4*j = -20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.4 + 4.3. Let o = h + -0.1. What is the second smallest value in -0.5, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/210 and 37\/186.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (8*(-8)\/(-320))\/(3\/(-5))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7599874?\nAnswer: 2, 37, 102701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*f + 259*f - 577607. Calculate the remainder when f is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45702.37 milligrams to micrograms.\nAnswer: 45702370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 15, b: 5}. Give prob of picking 1 b and 3 k.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -371 equal to -371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -433, -312, -225, -166, -129, -108, -97, -90?\n\"Answer: u**3 - 23*u**2 + 183*u - 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34.2 - -33.2. What is the third smallest value in -2\/173, 5\/4, x?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(60)\/sqrt(2) + 5*sqrt(120)\/sqrt(4))\/(sqrt(24)\/(sqrt(20)\/(-4*sqrt(5) + sqrt(5)))).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6)\/(-21) - 1590\/(-21) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 19 = -3*t, 5*t = 3*t + 9*i - 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 11 = -3*i. Suppose -i*r - 40 + 250 = 0. Let q = r - 2. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -2, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8909571 decades to months.\nAnswer: 106.914852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8.78 - 12.39. Let s = r - -1.61. Is -73 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -205, 2, -1 in descending order.\nAnswer: 4, 2, 1, -1, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*j**2*l*y + 27*j**2*o**2*y + 4*j*l**3*o*y - 294*j*l*y - 4*j*o - l**3*o**2 - 6920*o**2*y wrt o?\nAnswer: 54*j**2*y - 2*l**3 - 13840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.93947 + -0.06053. Sort q, -9, -0.1, 16, -0.2 in descending order.\nAnswer: 16, -0.1, -0.2, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1387992 is divided by 3024?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 118294, 473188, 1064678, 1892764, 2957446, 4258724, 5796598?\n\"Answer: 118298*z**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -27 + -2 + 29 + (-11 - (0 - 1))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 132906500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 17927*c + 107541. What is z(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3065, -6164, -9267, -12374, -15485?\nAnswer: -18600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -82\/39 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1 - (226\/(-20) + 0) and ((-27)\/12)\/((-3)\/(-54)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1449 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rhhhvtnhnnhnrtrhvnhv. What is prob of picking 2 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3 and 1539.\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 10, a: 2, k: 3}. What is prob of sequence aoka?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15236.\nAnswer: 2, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6.05 + 0.05. Let c = -21 - -20.7. Let b = -0.1 - c. What is the smallest value in 2\/3, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, -1, 5 in ascending order.\nAnswer: -1, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*1.0958777.\nAnswer: 5.4793885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4\/49 - -233\/147. Factor -g*b + 1\/3 - b**3 + 7\/3*b**2.\nAnswer: -(b - 1)**2*(3*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 0 - 4 + 0 + 1 + (-1 + 0 - 2)*(-6 + 1 + 3) - 3 + 5 - 5)*(-2*x**3 - x**3 + 5*x**3).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + v + 1)*(-10 - 3*v**2 + 10)*(-2*v**2 - 2*v**2 + 6*v**2 + (2*v + 0*v - 4*v)*(0*v - v + 0*v)).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 0*k + 30 = 5*h - 4*h + 15*k, -7*h + 41*k = 48*k + 14 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 4 + 4)*(0*t**4 - t**4 + 0*t**4) + 44*t**4 - 44 + 44 + (0 + 4 - 2)*(-t + t + 2*t**4) + t**4 - 2 + 2.\nAnswer: 52*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 23495035 and 1?\nAnswer: 23495035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of 7*r**4\/3 - 25*r**3\/6 + 5*r**2 + 9*r. What is the tens digit of q(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -5*g**5\/3 - 124*g**4 + 9632*g**3\/3 - 14518*g**2\/3 + 551*g + 3610\/3 = 0.\nAnswer: -95, -2\/5, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/3 + (-4)\/6. Let m = b - -1. Is m bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-1)\/(-1))*(-2)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:10 AM and 7:42 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (0 - 0) - (-81 - -39 - -29).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 1\/2, 31, -67, 1\/4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -4*t**2. Suppose 5*a - 16 = -3*a. Let q(v) = 17*v**a + 19*v**2 - 40*v**2. Determine d(q(l)).\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 59\/10  (b) -0.04  (c) 0.2  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + 50*h**2 - 96*h + 14. Let g be o(48). Solve 5*w = -6 - g, 5*n = 4*w + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (203 - 210) + -4 + (4 - 3 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in 0, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 52 (base 14) to base 11\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + 0 + 0)*(-3*x**3 + 2*x**3 + 2*x**3 + 0*x**3 + 0*x**3 + 6*x**3 + x**3 - 4*x**3 + 5*x**3 + (-x - 3*x + 3*x)*(x**2 + 0*x**2 + 0*x**2)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -208*i + 14*i**2 - 103*i**2 - 146*i**2 - 199*i + 409*i to the form n*i**2 + s + o*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -3*w - 4. Let j be f(-3). Let u(k) be the second derivative of -k**5\/20 + 5*k**4\/12 + k**3\/6 - 5*k**2\/2 + 4*k. Calculate u(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 + 17. Let a = -12 + y. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1833959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14373 is divided by 182?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17.8 + 18. Suppose -q - 5*l = 22, 0 = 6*q - q + 3*l + 22. Is h less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12680988 by 1.\nAnswer: -12680988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.916 + 3.317. Round i to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -5, 2, -4, -1, 15, -32 in increasing order.\nAnswer: -32, -15, -5, -4, -1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3602125548.\nAnswer: 2, 3, 7, 709, 20161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(52)\/sqrt(4) + 0)**2*1 + (sqrt(468) - sqrt(13))**2 + (sqrt(13) - (sqrt(13) - sqrt(468) - sqrt(13))*-5).\nAnswer: -31*sqrt(13) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.42 + 2.892. What is i rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -3*i - 1. Let b be c(-1). Let f = 4 + 0. Suppose -f*k = -4*w - 12, -44 = -5*k + k - 4*w. Solve 0 = b*d - 5*r + 2*r + k, 4*r = 3*d + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/6)\/(4\/18). Let a = -2 - 1. Let s = a + 4. Put s, w, 2 in ascending order.\nAnswer: s, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 438279*j**2 + 55900 with respect to j.\nAnswer: 876558*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + 10*n**2 + 12*n - 9. Let s be y(11). Suppose 0*d - s = d. What are the prime factors of 5 - d - (-2 + -1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 4. Let d be u*(9\/(-3) - -2). Suppose d = -5*z + 12. Solve j + j = z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 + c - c + 2*c + c + (3 + 2 - 3)*(29*c - 80 + 80) + 2*c + 2*c - 5*c.\nAnswer: 60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 7*b**3 + 3*b**2 - 24*b + 59. What is the remainder when 439 is divided by g(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 146, -5, 0?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2644 + 26*b**2 - 5289 + 2643 in the form t + x*b + u*b**2 and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 14*w - 15. Let v(p) = -p**2 + p. Let s(n) = -b(n) + v(n). What is the remainder when s(-12) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 44436 and -0.6?\nAnswer: -26661.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d**2 - d + d + (d + 4 - 4)*(5*d - 11*d - d) to the form a*d + y + n*d**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/33)\/(40\/110)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 2\/9  (c) -13  (d) -0.5  (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 + -2)*2\/16. Suppose -14*t = -978 + 306. Let r be 4 + (-114)\/t - (-6)\/16. What is the second smallest value in r, z, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 3 + 5)*(-3*f + 3*f - f)*(5 + 1 - 4) in the form u*f + o and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -3*c + 1. Let f(t) be the first derivative of 0*t + 1\/2*t**2 - 2. Determine d(y) + 2*f(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((36\/(-600))\/(30\/25)). Solve -4*z + 22*f - s = 26*f, -3 = z - f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 63 + 4a?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 19*h - 94. Let x be q(9). Let o(v) = -210*v - 154. Let j(s) = -11*s - 8. Let r(d) = x*j(d) - 4*o(d). Let b(l) = 3*l**2. Determine b(r(n)).\nAnswer: 147*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 - 7*c - 9. Let o be n(-6). What is the remainder when 5 is divided by 2\/(o\/((-27)\/6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -695*l + 691*l - 20. Let j = -0.7 + -0.3. What is the third biggest value in l, 5, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -2*f**3 + 315*f**2 + 153*f + 797. Calculate w(158).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccccccccccmcccc. Give prob of picking 1 m and 1 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 368*n - 2288 = 456*n for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i - 1. Let v be c(-5). Let u = 11 + v. Solve u*z = 2*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/172 - 8\/172) + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 - 4. Let r(k) = -1. Suppose 2*g + q = -7, -4*g - 2*q = -g + 13. Determine g*x(u) + 4*r(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (9 - 3) + 1 - -3 - 28?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, q: 1, a: 6, l: 3}. What is prob of sequence aal?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2794003*o*q - 38276*q + 4 wrt o.\nAnswer: 2794003*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112 + b - 82 - 70 + 386 - 68.\nAnswer: b + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 19 = -5. Let t(o) = 2*o**2 + 3*o - 18. Let i be t(k). Let l be i\/154 + 14\/(-49). Which is the third smallest value?  (a) -0.2  (b) 0.4  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1322269020?\nAnswer: 2, 3, 5, 1987, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/125 of a millennium?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*r - 27*r + 42*r to j + h*r and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 5*t - 13, 17*t = 20*t + i - 1. Suppose -3*f = 2*g - 0*g + 59, 0 = 2*g + 4*f + 58. Put 0, t, g in ascending order.\nAnswer: g, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 + -3. Let z = -8 + p. Let l(r) = 3*r**3 + r**2 - r. Let h be l(1). Put 1, z, h in decreasing order.\nAnswer: z, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s**2 - 2*s + 2. Let c(q) be the second derivative of 0 - 1\/2*q**2 - 27*q + 1\/6*q**3. What is -4*c(i) - 2*w(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p**3 + p**2 - 7*p + 1. Determine v(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -7 - 3 - -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 243114 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1839, 1386, 765, -24, -981, -2106?\n\"Answer: -84*w**2 - 201*w + 2124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.08  (b) -1\/3  (c) -1  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 41 and 33907.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (10\/(-5))\/(2\/(-168)). Suppose 7*g = -g + v. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 + 11*t**2 + 3. Let f be w(-11). Let q be 0 + 2 - (-5 + f). Let 0*d**3 + 1\/5*d**q + 0 - 1\/5*d**2 + 0*d = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74 - 123 + s**3 + 49.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96.7*-3.\nAnswer: -290.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-31785)\/(-112125) - (-6)\/(-25)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (7\/(14\/(-6)))\/(-3) - -1. Suppose 18 - 6 = 3*l, 12 = p - i*l. What is the highest common divisor of 100 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m - 80 = -221*m + 338. Solve -m*o = -4*q - 16, 5*o = -10*q + 9*q + 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-8)\/5)\/(46\/(-115)). Suppose -j*m + 1906 = 110. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -99*x + 21. Let m(b) = -49*b + 8. Calculate -4*h(a) + 10*m(a).\nAnswer: -94*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 18813 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -356*d + 1435*d - 8*d**2 - 360*d - 359*d - 360*d.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4964629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -5*r**5 - 1465*r**4 + 37210*r**3 - 261790*r**2 + 417835*r - 191785 = 0.\nAnswer: -317, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2836 by -4.\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.939767 millilitres to litres.\nAnswer: 0.000939767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1643513 * -65\nAnswer: 106828345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1122125 is divided by 1833?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 43, 96, 187, 328, 531?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aqz when three letters picked without replacement from cfqazcfz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -13, -44, -8, 1 in ascending order.\nAnswer: -44, -13, -8, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1187136 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 6*x**2 - 3 - 5*x**3 - 14*x**3 + 20*x**3 - 6*x - 2*x. Let g = -4 - -9. Calculate the remainder when g is divided by o(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*z**2 - 2 + 2)*(z - 3*z + 0*z) + 0*z**3 - 4*z**3 - z**3 + 25*z - 46*z + 22*z - z**3 - 3 + 5*z**2 in the form h + t*z + y*z**2 + u*z**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81 - 2722*r**2 + 77 + 2742*r**2.\nAnswer: 20*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10289744849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2765?  (a) -0.1  (b) 2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3847862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from rngngngrrngnggn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d. Let f(o) = -339*o**3 - 36*o. Give f(b) + 18*p(b).\nAnswer: -339*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 64*o - 192. Let g be b(3). Solve g = -17*z + 12*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of -13*r**7\/210 + 31*r**5\/60 - 6*r**2 - 10. What is the third derivative of b(m) wrt m?\nAnswer: -312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-25)\/140)\/((-2)\/38072)*7?\nAnswer: 5, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5006.\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -q**7\/12600 + q**6\/3600 + q**4\/2 + q. Let z(x) be the third derivative of a(x). Solve z(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - d - 5 = -12, -4*g + 6 = 5*d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -32\/1785 and -67\/10115?\nAnswer: 30345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 2 - 1 = 5*q, 2*q + 2 = 2*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**4\/4 + 15*s**3\/4 + 7*s**2\/2.\nAnswer: s**2*(s + 1)*(s + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 113*m**2 + 3. Let b be g(5). Let s = 39567\/14 - b. Let c = s - 5\/7. Calculate the common denominator of 131\/18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1373 divide 9080980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 96251 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 320 and 200?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4251 and 4903692.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 268 + 1888 = 28*j. Suppose 5*u = 0, 4*t + u = 12 + 16. Let a(f) = 77 - j - t*f. Let i(r) = -8*r. Give -6*a(m) + 5*i(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*q**6 - 118*q**3 + 85*q**2 + q wrt q?\nAnswer: -720*q**3 - 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-1\/6))**23\/(h**(-3\/4)\/h**(1\/9)))**(31\/3) assuming h is positive.\nAnswer: h**(22351\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 + 9*t - 12 + 15*t to u + k*t and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -0.7, -8\/21, -6, 2\/7, 1?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4704?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -1, 3, 53, -2 in descending order.\nAnswer: 53, 13, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r\/(r*r*r**0)*r)**30)**36)**(-49) assuming r is positive.\nAnswer: r**(-105840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17025 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.1, 19\/33, 0.3, -5, -9\/62?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16975.\nAnswer: 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/15)*w*w**(1\/4))\/(w**(-1\/4))**(-2\/51))\/((w\/((w*w*w**(-1\/6)*w)\/w))\/(w\/(w**(-1)\/w)*w))**(3\/8) assuming w is positive.\nAnswer: w**(11911\/4080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7.06 - 7. Let k = 0.97 - 0.866. Let y = k - 0.004. What is the smallest value in y, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 196268705 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 6:36 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8d4 (base 15) in base 3?\nAnswer: 2202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)\/sqrt(4)*4)\/sqrt(486).\nAnswer: 4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5\/6  (b) -2\/11  (c) 1  (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.069377 and -1098711?\nAnswer: 1098710.930623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**5\/11 + 298*t**4\/11 + 11540*t**3\/11 + 32852*t**2\/11 + 32266*t\/11 + 10658\/11.\nAnswer: 2*(t + 1)**3*(t + 73)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -238980 greater than -240655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/(-32)*(-684)\/95?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1329 + 242*v - 133*v - 214*v - 1101*v with respect to v.\nAnswer: -1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 6*i + 10)*(i**4 + 0*i**4 - 2*i**4) + i - i + i - 6*i**5.\nAnswer: -12*i**5 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 0, -252 = -2*p + 5*u + 244. Is p a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 948, 859, 716, 525, 292, 23, -276, -599?\n\"Answer: s**3 - 33*s**2 + 3*s + 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, 0.3, 610?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -10.6 less than or equal to 3\/911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**2)**(1\/16))**(1\/11) assuming a is positive.\nAnswer: a**(1\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -77 - -79. Solve 0 = -4*r + s*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 4 - -2 - (-2 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 30*x**2 + 1087*x + 788. Calculate m(-51).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 45 = 7*i. Let x = i + -6. Find the second derivative of x*d**2 - 2*d - 3*d**2 + d + 6*d**4 wrt d.\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14634582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 82\/49 or 2\/18439?\nAnswer: 82\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1210) + (3*(sqrt(1210)*-2 - sqrt(1210)) - sqrt(1210)) - sqrt(1210))\/(sqrt(80)*2 + 1*(sqrt(5) - sqrt(15)\/sqrt(3))).\nAnswer: -55*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) -3  (c) 2  (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -230 (base 4) to base 15.\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - 5*p + 3*p)*(-6352 + 5453 - 2547)*(2 - 2 - 3).\nAnswer: -10338*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198*t + 223*t = -50 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -35) + (-73 - (-97 - -10)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 148 and 3939324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6178\/11 or 436?\nAnswer: 436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 14*a**2 + 7*a - 8. Suppose 4 + 16 = 5*t, y - 2*t + 13 = 0. Is k(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {l: 13, v: 1, r: 2, u: 3}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -24 + 69 + q - 26 - 25 as i*q + t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 25\/75 - 2\/3. What is the closest to a in 0.4, 2\/11, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 8 + 3 = 0. Let k(i) be the third derivative of i**6\/40 - i**3\/6 - 24*i**2. Give k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 16385488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3843332 divided by 3\nAnswer: -3843332\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.09 + 0.49. Let h = 8 + -7.4. Let g = z + h. What is the closest to g in -0.5, -1, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(20)\/(2*sqrt(5) + sqrt(5) + sqrt(5))).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 divided by 153?\nAnswer: 88\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-13)\/2)\/(-17 - (-1616)\/64 - 8).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18781\/1482 + -3\/494. Which is greater: 13 or g?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-759)\/(-6885) - (5 + 996\/(-204)). What is the nearest to -1 in -3\/5, 1\/3, a?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 130 - 319.8. Let t = g - -155. What is t rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/9  (b) -4  (c) 8  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 322646879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 132*5\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 24.96 + 1.04. Let r = -46.7 + b. Round r to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 427*d**2 - 6*d. Let j(c) = -1565*c**2. What is n(j(f))?\nAnswer: 1045819075*f**4 + 9390*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26\/3 - 280\/33. Let g = -49 + 53. Which is the third biggest value?  (a) l  (b) g  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1245\/1267 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 2*l - 3. Let x(m) = -m**2 - 6*m + 4. Let i be x(-7). Let v(g) = g**3 + 3*g + 3. Let f(k) = i*b(k) - 2*v(k). Differentiate f(o) wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5734)\/8 + (-11)\/(-44). Let s = k - -764. Find the common denominator of 53\/10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1133 and -16.\nAnswer: 1.8128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 - 12362?\nAnswer: -12370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 - 23. Let y be 7 + 87*m\/13. Factor y*a**2 + 0 + 2\/13*a**3 + 0*a.\nAnswer: 2*a**2*(a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.12 + -2.12. Which is bigger: n or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in fourty-eight fifths of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/33 + (-64)\/11. Let p(y) = -4*y**2 - 6 - 4*y**2 - 2 - 9*y - y**3 + y**2. Let l be p(q). Solve -2*m + l = -0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/239008 and -3\/17248?\nAnswer: 1673056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l - 2. Let b(h) = -320*h + 1276. Let m be b(4). Let k(t) = 2*t - 4. Calculate m*k(n) + 9*w(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-15)\/(-20)*4 - 3. Let o(p) be the second derivative of -1\/10*p**5 + 0*p**4 + r + 0*p**2 + 2*p - 1\/2*p**3. What is the second derivative of o(x) wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 17*i**2 + 18*i + 2. Calculate h(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-1) - (46\/299 - 227114\/26) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) 4  (b) 8\/19  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*u = 11*u + 234. What is the remainder when 76 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20053329*a*p - 36*p - 27942 wrt a?\nAnswer: -20053329*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n - 1. Let c be z(9). Let o = 14 - c. What is the remainder when 23 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.9  (b) 0.28  (c) 2\/9  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 40*z**2 + 105*z - 1411. What is v(-36)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 243?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 6*y**2 + 3*y - 4. Let a = 0 + -4. Let m be r(a). What is the highest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2469 a factor of 6540573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -15*t**3 + t**2 - 13*t + 4. Let r(a) = -31*a**3 + 2*a**2 - 27*a + 8. Let n(l) = -9*g(l) + 4*r(l). What is the units digit of n(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -78 divided by 3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in eighteen fifths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/(b\/(b\/(b*b**(5\/7))))*b**(3\/17)\/b)\/(b\/(b*b*b**(-25)*b))**(-1\/32))**11 assuming b is positive.\nAnswer: b**(7579\/3808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/4, 475, -4, 4, 7, -5?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1468600083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of d**6\/10 + 7*d**5\/20 - 31*d**4\/12 - 47*d**3\/6 - 6*d**2 - 5*d - 147. Let r(m) = 0. Calculate m.\nAnswer: -4, -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -240994 - -121527. Let a = u - -119417.949. Let y = a - -49. What is y rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.27 + 0.13. Let a be (-1)\/(-5)*(-100)\/8. Sort o, a, -3 in decreasing order.\nAnswer: o, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**2 + 3*f**2 - 3*f**2 + (f**2 + 0*f**2 + f**2)*(4 - 4 + 2).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(44) - sqrt(2156)*-6)\/(sqrt(196)*6 - sqrt(4) - sqrt(4)))**2.\nAnswer: 20339\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24\/3857 - -21626391\/30856. Let z be 698 + 7\/(49\/14). Let l = o - z. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a + 1. Let y(z) = -12. Suppose -3 - 17 = -5*t. Let o(g) = t*l(g) + y(g). Let d be o(-3). Solve 10 = -d*x - x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0*-1*(-1 - 0). Suppose 5*z - 21 = 2*g, r = 2*g - 7*g - 5*z + 35. Suppose -2*b - 2*q + 12 = -2, g*b = -q + 14. Solve x = 2 - b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of -31 - 109*v**6 + 5 - 13*v**2 + 105*v**6. What is the second derivative of s(n) wrt n?\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**2\/2 - 13043*a\/2 + 13045 = 0. What is a?\nAnswer: -13045, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*39\/(-2) - (-272)\/(55 + -21).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -55805 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/48 and -6 - ((-662)\/160 + 24\/(-40)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t + 4 - 4)*(3*t**3 - 5*t**3 + 4*t**3) - 2*t**4 - 3*t**4 + 6*t**3 + 6*t**4 + (t**2 - t + t)*(7*t**2 - t**2 - 4*t**2) + 0*t**4 + 0*t**4 + t**4.\nAnswer: 8*t**4 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -96, -6, -187.4, 3\/4 in decreasing order.\nAnswer: 3\/4, -4, -6, -96, -187.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of -a**6\/360 + a**4\/6 + 3*a**3\/2 - 2*a**2 + 3*a. Let d(g) be the second derivative of v(g). Let c(f) = -8*f. Give c(d(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3244589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 5 = 5*c, 2*c = -6*k + 3*k - 15. Let q be (4\/(-4))\/((-2)\/(-6)) - 1. Let s be (1 - -1)*(-1)\/(-4)*q. Put s, -1, 8, c in increasing order.\nAnswer: s, -1, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + 3*w - 23, -1 + 6 = w. Let i be 546\/189*9\/n. Solve i = 2*c + 3*r, -4*c + 0*r - 1 = -3*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**2*n**2*w**3 - 639*f**2*n**2 + 3*f**2*n - 2*f**2*w**3 + 3*f*w**2 + n**2 - 2227*w**3 wrt w.\nAnswer: 6*f**2*n**2 - 12*f**2 - 13362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -k + 2*x + 11, -22*k - 15 = -17*k + 4*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 - 1.265897.\nAnswer: -1.065897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 32, 74, 126, 188?\n\"Answer: 5*b**2 + 27*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(-2) + (-280)\/(-80). Find the third derivative of 656*j**5 + 448*j**5 - 928*j**5 - 92*j**t wrt j.\nAnswer: 10560*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 z, 1 a, and 1 t when four letters picked without replacement from {z: 1, t: 1, p: 9, a: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3521157673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -2*u**4 - 904*u**3 - 3590*u**2 - 2688*u = 0.\nAnswer: -448, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 7*o + 1. Let k be z(5). Suppose -4*a + k = 2*i, -3*a + 27 = -0*a - 2*i. Let r = 2 + -1. What is the smallest common multiple of a and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127065209 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 87076815 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/147 and 31\/63.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2. Suppose -d - 8*t - 4 = -0*d, -5*t = -5*d + 25. Let g(a) be the second derivative of -7\/12*a**d + 0 + 0*a**3 + 0*a**2 - 9*a. What is g(h(p))?\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 14751910 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -129 divided by 470965?\nAnswer: -129\/470965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**3 - 12577144*j**2 + 62885620*j = 0. Calculate j.\nAnswer: 0, 5, 3144281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 - 41 = -2*d - t, 0 = -d + 5*t - 2. List the prime factors of (-96)\/(-28) - d - (-6354)\/21.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3542*q**2 - 7917*q**2 - 820*q + 820*q.\nAnswer: -11459*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 257*c + 5*w - 28 = 259*c, 5*w - 34 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -40 + 438\/11. Let v be (-4 - -1) + 2\/2. What is the smallest value in v, k, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3*2)\/(-2) + -30 + 41. Suppose -f*p = -19*p + 25. Suppose -47 = -p*s - 2*d + 14, 2*d = -3*s + 39. Calculate the greatest common divisor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/383664 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-126)\/441 + 102\/14 + -5. Let h(l) = 10*l + 2. Let f(j) = j - 1. Calculate o*f(r) + 2*h(r).\nAnswer: 22*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 50360 - 50357. Let r be (-1)\/1*1*0. Solve r = g*h - 1 - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 - 1362*n**2 + 6*n - 7. Let c(j) = j**3 - 2724*j**2 + 10*j - 12. What is 3*c(l) - 5*r(l)?\nAnswer: -2*l**3 - 1362*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 3 - (-1 - -5)) + (1 - 4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 111*o - 20*o - 46 - 227. Calculate the greatest common divisor of o and 1296.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -36609 and -21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 137545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8 and 26108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 108630 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 211 divide 68268839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2679 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 w = -195 + 220. What is the first derivative of -w*c**3 - 5 + 26 - 24 wrt c?\nAnswer: -75*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 6*l**2 + 3*l + 19. Let y(p) = -4*p**2 - 2*p - 13. Determine -7*y(h) - 5*z(h).\nAnswer: -2*h**2 - h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*k = -382 - 530 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10*(10\/(-4))\/(-5). Suppose -2*f + s*c - 14 = 0, f + 2*c - 23 = -3*c. Suppose f*q + 27 - 9 = 0. Let o(y) = y**3 + 5*y**2 - 3*y + 2. Give o(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 3*w**5 - 744*w**4 + 70635*w**3 - 3160878*w**2 + 64806420*w - 454612200 = 0.\nAnswer: 14, 47, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 6:34 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11157038411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/20 and (-2)\/((-12)\/61)*423\/(-100533)?\nAnswer: 14260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 918 and 19686.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 0.061\nAnswer: -13.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 - 1)*(18*v - v**2 - 18*v) + 2 + 2*v**2 - 2)*(-v**2 - v**3 + v**2) - 2*v**5 - 6 + 6.\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8436002*q**4*s*x**2 + 2*q**3*s*x**2 - 3*q**2*s*x - 311*s*x - 1628*x**2 wrt q?\nAnswer: 202464048*q*s*x**2 + 12*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 474 + -266. Let q = j + -320. Let c = 112.000049 + q. What is c rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2 - 886*j + 3512.\nAnswer: 2*(j - 439)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*o = -176155 + 180996 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = l - 2*l + 5, -7 = -3*l + 4*q. Let n be l*(0\/(-1))\/2. Solve -3*v = -n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 3*k + 2. Let z(i) = 7*i + 5. Let f(v) = -5*p(v) + 2*z(v). Let h be f(-4). Suppose 0 = -2*j + h - 4. Put 12, j, 2 in decreasing order.\nAnswer: 12, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12*h**2 + 29*h + 838.\nAnswer: 24*h + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -3*c - 84. Let k be ((-1)\/(-1))\/((-14)\/c). Suppose 0 = k*j + 2*y - 23994, -2*j + j = 2*y - 7994. What is j rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.6375437ml?\nAnswer: 0.0006375437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 523 + -525. Let w be 9269\/341 - p\/(-11). Calculate the greatest common factor of w and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13084*z**2 - 25637*z**2 + 21691*z**2 to the form v*z**2 + b*z + u and give v.\nAnswer: -17030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1062 (base 11) in base 7?\nAnswer: 4036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 + 1. Suppose -5*r - 26 = 4*s, -4*s - 54 = 2*r - 22. What is the remainder when 2 + (-9)\/(s\/3) is divided by z(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 85599 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2*q + 1528 = 0, 3*q - 213 = -2*f + 2815. What are the prime factors of f?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 27784681 and -0.2.\nAnswer: -5556936.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 + 8*h**2 - 11*h - 1. Let b be x(6). Suppose 2*l = -3*q + 51, l - b*l + 85 = 5*q. What is the remainder when 84 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of 5*b**3\/3 + b**2 + 4*b + 12. Let p(v) = -14*v**2 - 5*v - 11. Give -11*f(u) - 4*p(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -37 - -40. Let h be -1*-1*10\/2. Let y(w) = -w**3 - 2*w**2 + 3*w. Let m(d) = -3*d**3 - 3*d**2 + 6*d + 1. Let r(x) = h*y(x) - 2*m(x). Calculate r(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*w = 12, -12*w + 11*w = 3. What is the nearest to j in -5, 4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5618711 or -5618780?\nAnswer: -5618780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*i**2 + 6*i**2 - 8*i**2)*(78 - 78 - 16*i).\nAnswer: 128*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -56*k**2 + 63*k**2 + 3*k**3 + k**3 to h*k**2 + f*k + a + l*k**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.011 - 23.589. Let u = o - -26.77. What is u rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(343)*1 - sqrt(63)\/(sqrt(36)\/sqrt(4)*2).\nAnswer: -15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -37, -82, -141, -220, -325?\n\"Answer: -o**3 - o**2 - 35*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 5*z - 1 - 24, -y + 5*z = 25. Let a(h) = h**2 - 3*h + 5. Let i be a(2). Let k(g) = 10 + 296*g**i - g**2 - 295*g**3 - 2. What is k(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 248811\/22 - 11313. Let x = 3 - -9. What is the common denominator of 4\/(-6) + (-226)\/x and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210220 + 2?\nAnswer: -210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -290, -279, -270, -263, -258, -255, -254?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 144876 or 144879?\nAnswer: 144879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1797055 (base 11) to base 7.\nAnswer: -34561106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(833) - sqrt(17))*6*-5)**2 - ((2*sqrt(17) + 2 + sqrt(17))**2 + 1 + (sqrt(17) - sqrt(85)\/sqrt(5))).\nAnswer: -12*sqrt(17) + 550642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*n**2 + n**2 - 2 + 3)*(-31*n + 66*n - 20*n) to the form m*n**2 + j*n + w + b*n**3 and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/104  (b) -1\/4  (c) -2  (d) 0.136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.17, -0.5, 3, -2\/7, -5.\nAnswer: -5, -0.5, -2\/7, 0.17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 AM and 8:38 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.1 + 3.2. Let v = -0.37 + 0.07. Let h = v + g. Which is the nearest to -1\/2?  (a) -0.5  (b) h  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 3*k - 3*k)*(90972 - 90972 + 3*k + 3*k**2).\nAnswer: 3*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Find a such that -178*a**4 + 182448*a**3 + 1848622*a**2 - 4400772*a - 49680 = 0.\nAnswer: -12, -1\/89, 2, 1035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -10881\/2 at least as big as -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -10, -29, -66, -127, -218, -345, -514?\n\"Answer: -u**3 - 3*u**2 - 3*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 - 15*d + 18. Let m be r(-14). Let n = 7632 + -7605. Solve -4*h + 4*i = m, 0 = -5*h + h + 3*i - n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of -13*l**8\/24 + l**5\/60 - 7*l**4\/12 + 2*l**2 + 19*l. Find the third derivative of p(i) wrt i.\nAnswer: -10920*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/24 and 61\/219?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 3*d + 10. Solve -4*u = -d*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -13.5?\nAnswer: 4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((342\/8550)\/((-3 + 2)\/(-1)))\/((-18)\/10)\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1564*v**3 - 71*v + 11 wrt v.\nAnswer: 9384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -2*u. Let n be (-5 - -1 - -10) + -4. Suppose 24 = 6*d - n*d. Solve -2*g + 4*g + d = u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24977 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 - 7*g + 4. Let j be l(-7). Solve 2*i + 12 = j*b, 5*b + 0 - 15 = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = -4, -3*m - 22 = -8*m + 3*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 + 2400*u + 11989. Calculate m(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -328 + 331. Put -5, a, 8 in descending order.\nAnswer: 8, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.08 and -2201425965385.\nAnswer: -2201425965385.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of -1609*i**5\/20 - 1909*i**3\/6 + 3995*i**2. What is the derivative of d(h) wrt h?\nAnswer: -9654*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 62697 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -533*l**5 - 167*l**2 + 2*l wrt l.\nAnswer: -31980*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) -2  (c) 5  (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 0  (b) 0.02  (c) 2\/3  (d) -5  (e) 863  (f) -2  (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 276480 is divided by 3630?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*x + 30*h + 159, 0 = -325112*x + 325107*x + h + 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 5*q + 29, -7 = -3*g - 3*q + 4*q. What is the least common multiple of g and 8\/3*((-426)\/1491 - 50\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*j + 55*j - 26*j - 2.\nAnswer: 11*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/25, 11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (264\/55)\/(94 + 37576\/(-400))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 17*z - 50. Let g be t(6). Let q = g - 52. Let u be q\/(-2 + 10 - 4). Solve u = -3*h + 3 - 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 6761556, 6761563, 6761574, 6761589?\n\"Answer: 2*z**2 + z + 6761553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.005 - -146.995. Let u = c + -146.9929. Round u to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*v + 9*v + 0*v + 193 + 399.\nAnswer: -16*v + 592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 494882639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 3*x = 15, 4*z + 19 = 6*z + x. Solve 5*g - 3 + z = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*b**2*c**3 + 2*b**2*c**2 + 2*b**2*m + 2*b*c**3*m + b*c**3 + b*m - b wrt c.\nAnswer: -24*b**2 + 12*b*m + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5 - (134\/(-6) - (-4)\/(-6)). Let k(f) = f**3 - 28*f**2 + 3*f - 78. Let y be k(v). What is the closest to -1 in 5, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x - 5*x + 2*x)*(-x**3 - 2*x**3 + x**3) + x**4 - 2*x**2 + 5*x + 0*x**2 + 0*x**2.\nAnswer: -x**4 - 2*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7198*d = 7206*d - 2632. Calculate the highest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/24 and 28\/33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -113*f**3 + f**2 + 2*f + 1. List the prime factors of p(-1).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -592274\/105 + 5641. Let s = -2\/21 + u. Let -1\/5*x**4 + 2\/5*x**2 + 0*x - s + 0*x**3 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -4 + 8 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12045\/13 smaller than 928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28082*j + 28858*j - 3388*j + 19 - 6945*j.\nAnswer: 46607*j + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 2*y - 111 = 0, -5*d + 0*y + 102 = -y. Let o(g) = 6*g**3 + 71*g**2 - 44*g - 24. Let f be o(-12). Let t = d + f. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 4 - -1) + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 818636 is divided by 360?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is -21270.9166 rounded to the nearest one hundred?\nAnswer: -21300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 3*d - 2*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 + 3*d**2 - 2*d - 13. Calculate m(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 3*y + 0*y = 47, 2*f - 1 = 3*y. Suppose f - 48 = -5*l. What is the remainder when 29 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9313 + 9309. Which is the third smallest value?  (a) -91  (b) -3\/2  (c) p  (d) 0.06  (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 264*y - 278*y = 5*g + 118, -17*g + 33*y - 61 = 32*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 269128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*p - 9 = 0. Suppose 2*h = -r - 1, -4*r - 3*h - 7 = 2*h. Let s be r + ((-21)\/(-6))\/1. Sort 2\/7, s, p in decreasing order.\nAnswer: p, s, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33300*p - 18453*p - 20519*p.\nAnswer: -5672*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3699 by -845.\nAnswer: -3699\/845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -185413 at most -185412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 3*l - 6 = 0, 5*l - 2*l = 3*o - 9. Differentiate 4*r - 3 - o + 1 wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7954689?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 - 3*q + 59. Calculate y(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 93237834 to the power of 1\/2, to the nearest integer?\nAnswer: 9656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.38 + 3.48198.\nAnswer: 3.86198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 15*t**3 - 272*t**2 + 28*t - 1. Calculate y(18).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 7, f: 11, r: 2}. What is prob of sequence rf?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(70) - (sqrt(70) + -1*sqrt(70)))\/sqrt(10) + sqrt(7) + (sqrt(189)\/sqrt(3))**2 + 3.\nAnswer: 2*sqrt(7) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28 - -39. Let j = 7 - l. Let o = 248 + -248.2. What is the nearest to -1 in o, -6, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -176 + 176. Is i != 6\/343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1762, 2186, 2610, 3034, 3458?\nAnswer: 3882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7\/45 - -1\/90. Let m = 0.04128 + 0.45872. Which is the second smallest value?  (a) z  (b) m  (c) -15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -5, 1, 37 in increasing order.\nAnswer: -5, -2, 0, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 + 31 + 26)*(3*r + 0*r - 4*r + (3 + 2 - 3)*(-r - r + r) + 0*r - r + 2*r).\nAnswer: -74*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/22 + 317\/132 and -53\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -631000 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 - 32*o**2 - o - 30. Let v be t(-32). Let q(s) = s**v + 1322 - 1307 - 3*s + 15*s. Calculate q(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -48 + 94. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 187920 divided by 24\nAnswer: 7830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**3 + 2*x**2 + 4. Let p(k) = -k**3 - 15*k**2 - 3*k - 47. Let h be p(-15). What is z(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.042 - -7.042. Put 0.09, m, 0.5 in decreasing order.\nAnswer: m, 0.5, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.946 - -0.144. Let k = 0.09 - w. Which is the second smallest value?  (a) k  (b) -0.5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kwskkkffszksg. What is prob of picking 1 w, 2 k, and 1 g?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6.1 and 36.\nAnswer: 42.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -11*z + 28. Let y be s(6). Let g be -7*(y\/7 - -4). Let d = 96 - 16. Calculate the highest common divisor of d and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 32 = 64. Let z = 14 - u. Solve -3*h + z - 11 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -65 - -65. Let r be (6\/4)\/((-9)\/(-276)). Suppose 0 = -3*d + 15, -2*d = -0*u + 3*u - r. Solve -3*j + u = -h*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -19*s - 33. Let b(r) = -29*r - 55. Let l(o) = -5*b(o) + 8*i(o). What is l(-5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -32*k**3 - 95*k**2 + 39*k + 98. Give s(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 27*p - 255. Calculate o(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - 2 + 2)*(3*l - 4*l - l) + (-1 + 4 - 5)*(11*l**2 - 15*l**2 + 9*l**2).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(-3) - 22009\/5079 - 8\/3\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 5*d = 6*u - 30, d = 4*u - 4. What is the second derivative of 2*k - 58 + 18*k**u - 30*k**2 - 122*k**2 wrt k?\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210 (base 4) in base 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 15 + 6799*r + 2736*r - 15 in the form k*r + o and give k.\nAnswer: 9535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d = -3*d + 24. Let p(c) = 4*c - 3. Let y(u) = 23*u - 17. Let w(a) = d*y(a) + 34*p(a). Let r(z) = -9*z. What is w(r(b))?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 300 and 216.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 57886\/6867 - 1\/981. Find the common denominator of t and 159\/51 + 2\/(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49 * 2.3\nAnswer: 112.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21813, -21798, -21789, -21786, -21789?\nAnswer: -21798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -82042\nAnswer: 3\/82042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -3*a + 5. Let m be (-50)\/(-3) + 5\/15. Let n = a + m. Calculate the least common multiple of 8 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 - 8. Let q be a\/2 - 2 - 0. Let g be q - 0 - (-2 + 1). Solve g*y - 2*y = 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-7))\/(41860\/703248)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -168 * 0.4\nAnswer: -67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -2 + (23 + -1 - 11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/2 + 3)*-10. Let l be (-1 + (-20)\/v)*-5. What is the nearest to 2 in -3, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**6)**(5\/3)*(c\/(c*c**(-4\/7)\/c))\/(c\/(c**19\/c*c)) assuming c is positive.\nAnswer: c**(207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -535, 4, 100, 5, -3, 1, -4 in decreasing order.\nAnswer: 100, 5, 4, 1, -3, -4, -535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2893 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24270497 + -1994585.\nAnswer: -26265082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 109\/3 - 36. Let f = 12 + -7. Let v = -1.59 - 0.41. Which is the nearest to k?  (a) f  (b) 1\/9  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d**2*o**6 - 2*d**2*o**2 - 32393*d**2 - 6038*o**4 - o**3 wrt o.\nAnswer: 240*d**2*o**3 - 144912*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 58094 - 57988.524. Let w = -0.276 + g. Round w to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r**5 - 6*r**4 - 11*r**3 - 2*r**2 + 12*r + 8 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -149 + 154. Suppose -4*p + 3*p + 7 = 0. Put g, 3, p in ascending order.\nAnswer: 3, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 5*p + 76 = -4*a, -2*p - 50 = 3*a. Let l be (21\/(-14))\/((-3)\/a). Let j = l - -18. What is the remainder when 20 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bexv when four letters picked without replacement from lblvlllbex.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 14) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -1 - 18*t + 17*t + t - 19*t**2 + 53*t**2. What is f(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/((-4)\/1)*7. Let l = n + 10. Suppose 0 = 3*k + 4*r - 11 - 29, -l*r - 21 = -2*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51 - 2*d + 61 - 63 to the form h*d + w and give w.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 64 - -16. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1021632 divided by 15963?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -36*h - 24. Let g(k) = 13*k - 2. Let m(o) = a(o) + 3*g(o). Calculate m(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12\/5 <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/12 and 9\/758926?\nAnswer: 4553556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -i + i + 26 - 21 + 4*i**2 + 40 - i to w + n*i + y*i**2 and give w.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8283 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 89 = -125. What is the derivative of -47 - 8 - 57*o - a + 8*o - 10 wrt o?\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24455 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {o: 2, v: 2, i: 1, b: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 891639 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-6 - -17)\/(-44))\/(7 - 270\/48)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of -19*m**4\/3 - 4*m**3\/3 + 24*m. Solve d(z) = 0.\nAnswer: -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - (-275)\/253 - -8*(-1)\/92?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 8:38 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -197991.\nAnswer: -1\/65997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {e: 2, f: 3, i: 2, b: 6, j: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b**3 - 22*b**2 - 33*b + 30. Calculate c(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -96, -191, -286, -381, -476, -571?\n\"Answer: -95*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5*i = 7, 3*i - 26 = 3*v - 5. Let t(g) = 2*g**2 - 9*g + 12. Let a(h) = 3*h**2 + 4*h + 3 - 4*h**2 - 9. Let r(s) = v*a(s) - 4*t(s). Give r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1256 + 1767. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0674+209120\nAnswer: 209119.9326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15.99 + 132.3.\nAnswer: 148.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 2*f = 12 - 11, -2*h = 5*f + 12. Let b = 17 - h. What is the least common multiple of b and 44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -95*d + 110*d. Suppose -44*v + 16*v + 15288 = d. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or 5701?\nAnswer: 5701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 226073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -520 (base 9) to base 2.\nAnswer: -110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 106198\/1523?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/4 + (-34)\/(-13) and ((-39)\/16)\/(-3)*(1 - -1)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 5528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + -956171?\nAnswer: -956173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*b + 1436 - 1340 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from giagoogouu. What is prob of sequence go?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 32*g**2 + 12*g - 42. Let q(r) = -13*r**2 - 5*r + 17. Let t(p) = -5*i(p) - 12*q(p). What is t(3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-three eighths of a day?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 + 4*a**2 - 77*a - 352. What is u(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -407193790530 and 3.\nAnswer: -407193790527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -1\/5  (b) 0.1  (c) 1  (d) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(-4) + 900\/(-48). Let n = 37 + f. Suppose -w = 3*l + w - 26, -2*l + n = w. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 7:20 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t + 42792927 - 3*t - 42792927 - 3*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 105 and 325855?\nAnswer: 6842955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/12)\/((-1)\/2). Solve -9 = 5*y + a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by 5\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l**3 + 1744*l**2 - 5454*l + 208558. What is d(869)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 31*w**2 - 21*w + 55. Let o be (-8 - -7)\/((-4)\/(-44)). Is x(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 42794252, 42794251, 42794248, 42794243?\n\"Answer: -g**2 + 2*g + 42794251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of r**5\/360 - r**4\/72 + r**3\/36 + 38*r**2. Solve n(w) = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 - 27*h**2 - 48*h + 661. Let x be o(30). What is the highest common divisor of 68 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 25 = -0*i. What is the units digit of i - (0 + -5 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 3*q = -33, q = h + 5*q - 32. Suppose h = g - 8. What is the common denominator of (-12)\/g - 471\/(-110) and 85\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.21 in -0.3, 8, -15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**2 + 4*w - 4*w)*(-7 - 6 - 5*w + 14)*(-w + 2*w + 0*w).\nAnswer: -15*w**4 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0)**1\/((n*n\/(n**0*n))\/(n\/n**(1\/3)*n)) assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*o - 69. What are the prime factors of 81*((-5)\/o - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 6*v. Let s(u) = -u. Suppose 2*q - 18 = 5*q. What is q*s(i) - 2*b(i)?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -14*r - 164. Let b be j(-12). Let q(v) = v + 8. Let f be q(-6). Let s be (f + 0 + 2)*4. Calculate the highest common divisor of s and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*d + 8*d - 25*d + 7480 = 0. Solve 3*f = -31*f + d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(240)*6 - sqrt(240))\/sqrt(10))\/(sqrt(968)*-5 + sqrt(8) - sqrt(8)).\nAnswer: -sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -88.1 + 92. Let u = n - 4. Which is the closest to u?  (a) 2  (b) -1  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((5*(-1 + sqrt(704)) + -2*(sqrt(704) + 1))*4)**2*4.\nAnswer: -1225920 + 64512*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2417*h**3 + 1330*h**3 + 1245*h**3.\nAnswer: 158*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -75 + 301\/4. Let r = -231\/4 - -58. Determine l, given that 0*l**2 + t*l + 0 - r*l**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 y, and 1 p when three letters picked without replacement from {y: 2, x: 1, n: 1, p: 1, o: 1, q: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -146, -142, -138, -134?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 7) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 AM and 5:00 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/(-126))\/(18\/42)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -852.8 in 0, -1\/6, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 - 3. Let a be p(-3). Let i = 6 - -12. Let l = 21 - i. Solve 2 = -4*k - 2*h, -5*k + a = -l*h - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 601302 + 692048 = 10*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 401325 and 26075423.\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 + 2)\/(17\/(425\/10)) - -5. Solve -4*g + 7 - 11 = u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1534198 is divided by 383360?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/(-1 + (-15)\/(-6)). Let t = l + 16. Suppose -7 = 2*b - 41. Calculate the remainder when b is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - 4*f**2 - 5*f + 1. Let d be n(4). Suppose 3*k + 22 = -2*c + 149, 0 = -4*c - k + 269. Let h = c + d. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -3*u**2. Let j(s) = 173 - 174 - 11*s + 15*s - 7*s. Calculate j(q(d)).\nAnswer: 9*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2541 and 614229.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((3\/(-9))\/((-3)\/(-27)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 1821.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -858146, -858155, -858164, -858173, -858182?\nAnswer: -858191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 + 2*u + 251. Is g(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6438\/(-120))\/(-37)*20 + -59?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 24*j - 25*j - 12 + 29. Let s be l(11). Suppose -5*k - 2*q = -q - 23, -2*q = 2*k - s. Put k, 1, 1\/3, -1 in decreasing order.\nAnswer: k, 1, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 28*j - 3. Let v be w(6). Suppose 5 = y - 1. Suppose y*m = m + v. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2*k**3 - 3*k**2 - 14*k - 7. Let n(a) = -4*a**3 - 5*a**2 - 26*a - 13. Calculate -7*c(m) + 4*n(m).\nAnswer: -2*m**3 + m**2 - 6*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1064*z**3 - 2119*z**3 + 1060*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2405985 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6.3 + -6. Let u = -17.6 + 18.66. Let j = 0.94 + u. Which is the nearest to j?  (a) -5  (b) -0.3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 91 + 202 = 3*r, -3*r - 5*s + 71 = 0. Let q(v) be the third derivative of 0 - 1\/12*v**4 + 0*v + 0*v**3 - r*v**2. Let k(i) = 3*i**2. Give q(k(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 30321 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1510 divided by 5?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 9 from -142.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 11371620 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 4*p + 7. Let l(a) = -150*a - 57. Is l(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1824439, 1824438, 1824437, 1824436?\n\"Answer: -c + 1824440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 312 - 441. Let o = -81 - r. Calculate the remainder when o is divided by 2*2\/10*65.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 118 and 18291062?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 - 6*a**2 + a + 3. What is l(-5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 204.3\nAnswer: 195.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of 2*a**7\/189 + a**6\/540 - a**5\/135 + 41*a**2. Suppose o(q) = 0. What is q?\nAnswer: -1\/2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/3, 0.1, -11\/4 in ascending order.\nAnswer: -11\/4, 0.1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 95, 2, 1590 in decreasing order.\nAnswer: 1590, 95, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 830 divide 26140510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -179433\/14 + 12841. Let o = 2465\/98 - m. Calculate the common denominator of o and -4\/5.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-3)*8\/(16\/(-3)). Which is smaller: w or -19\/26?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*a + 235 = -3*g + 167, 4*a - 20 = 5*g for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/3  (b) 1\/3  (c) 7  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44694 and 357552.\nAnswer: 357552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11101 (base 2) to base 13.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, m: 3, q: 3, i: 2, k: 2, g: 3}. What is prob of sequence mmk?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12.18 + 226.49. Let y = 246.002 - 0.002. Let h = b - y. What is h rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 784\/10 - (1 + 24\/(-15)).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 56 - 57. Is z bigger than -2\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22422 divided by -606?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 291527772?\nAnswer: 2, 3, 53, 458377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 4) + (3096\/96 - 27).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 3*n**2 - 6*n + 6. Let h be t(2). Suppose -1 = -h*u + 221. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 1)*((2 + 5 - 4)*(-5*f + 2*f + f) + 16*f - 95 + 95)*(16*f**3 + 0*f**3 - 3*f**3).\nAnswer: 390*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 9 = 11. Let s = 91 - 87. Suppose -s*x - q + 33 = 4*q, 0 = 3*x - 5*q + 19. Put x, m, 3, 5 in descending order.\nAnswer: 5, m, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 2 = -11*k + 9*k, -5*m - 10 = 0. Let q = -131 - -105. Which is the smallest value?  (a) 5  (b) k  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = 3*z + 58 - 78, -n = n - z + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 5*a + 2*s + 8, -2*s - 4 = -a. Suppose -7*t + 44 = -5. Let k(y) = -y + 11. Let n be k(t). Solve -j - 3*z + 3 - 1 = a, 2*j - n*z = 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 747, 808, 933, 1140, 1447?\nAnswer: 1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -132 by -11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of 13*x**5\/40 - 115*x**4\/24 + 43*x**3\/6 + 4*x**2 - 216*x. Factor f(r).\nAnswer: (r - 8)*(r - 1)*(13*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 47 - 8. Let o be 2 - 1 - (f - 8). Find the common denominator of (0 + -5 - o) + 26\/(-12) and 17\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -7*j + 67. Let k(p) = -21 + 27*p - 13 - 13*p - 10*p. Let y(w) = 2*b(w) + 5*k(w). Find the first derivative of y(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5, 23, 111, 289, 587, 1035, 1663?\n\"Answer: 5*d**3 - 7*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 13 - 5. Which is the smallest value?  (a) -0.14  (b) 0.5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*10*(-41)\/(-328)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 353607245 to the power of 1\/2, to the nearest integer?\nAnswer: 18804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (31 - 13)) + 18 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8538 - 16*f + 56*f - 16*f - 20*f.\nAnswer: 4*f - 8538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 + 8424\/(-364) - 45\/77?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes after 11:14 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**2 - 5*r**2 + 4*r**2)*(349*r + 25260 - 25260)*(3*r**2 + 7*r**2 - 4*r**2).\nAnswer: 4188*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -9 - (-12 - 1 - (13 + -60))) + 7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1167 or 202248?\nAnswer: 202248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(84) - (3*(sqrt(84) - sqrt(84)*1) - sqrt(84) - sqrt(84)))\/sqrt(12))**2.\nAnswer: -18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 6.8  (c) 128  (d) -2\/5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1297501 by -447.\nAnswer: -1297501\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 21 = -f, 3*i - f = -4*f + 39. Let l = 79 - 43. Suppose 4*a + 9 = p, -p - 2*a - l = -5*p. What is the remainder when i is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 2 - (-4 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -226, -218, -198, -166?\n\"Answer: 6*x**2 - 10*x - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0423721143 to 3 dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of u**2 - 11\/20*u**5 - 2*u**3 - 3\/2*u**4 + 3\/70*u**7 + 1\/112*u**8 + 3 + 0*u - 1\/40*u**6. Solve m(h) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -73817 (base 10) in base 2?\nAnswer: -10010000001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b**2 - 2*b + 6*b + 3*b**2 - 5 - 7*b. Let h be l(5). Solve -a**h + 3*a**5 + 0*a**5 - 3*a**3 + a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 5*h = -0*h - 80, 0 = -4*d + 3*h + 57. What is the greatest common divisor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -193, -405, -615, -823, -1029, -1233, -1435?\n\"Answer: y**2 - 215*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**2 + 3*v + 20. Let g(r) = -r**2 + 17. Determine -6*g(s) + 4*p(s).\nAnswer: -2*s**2 + 12*s - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 140*s - 24*s + 2 + 11*s - 1.\nAnswer: 127*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -22*m**3 + 7 + 1 + 11 + 5 + 2*m - 2*m**2 - 25. Determine n(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20045 and 380?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = 0, 4*k + 4*x + 8 = -0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.1 + 0.5. Let y = a + 0. What is the third smallest value in 0.5, y, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 13, b: 3}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -193265 + 2301*z + 193265 as v + j*z and give j.\nAnswer: 2301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -39*c + 1. Let z(p) = -197*p + 4. What is 11*v(j) - 2*z(j)?\nAnswer: -35*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -203 - -230. Calculate the smallest common multiple of y and 86.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178847166 is divided by 1301?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -11.3 times 1.9\nAnswer: -21.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.1*18.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4*a + 101 = -13, 2*t - 108 = a. Calculate the remainder when t is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.855 + -50.155. Let a = x + 49.30482. What is a rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00086433 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -138.866 and 11.\nAnswer: -127.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2532 + 2534. Let p(u) = -3*u + 5*u**3 + 2*u**2 - 10*u**3 + 4*u**3 + 2*u**3 + 1. Calculate p(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 771980 to the power of 1\/2, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i. Let y(n) = 2*n. Let t(a) = b(a) - y(a). Let k(d) = -63*d**2. Determine k(t(m)).\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22416*z**3 + 2*z + 8911 wrt z.\nAnswer: -134496*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1386, -0.2, -3.\nAnswer: -3, -0.2, 1386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/735 or -3?\nAnswer: 2\/735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d + 3. Let u(m) = 3*m + 9. Let v(n) = 4*u(n) - 14*x(n). Let f be v(3). Let b = f - -14. Solve -4*a = -3*k + 3, b*a - 3 = -k + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(1100) - sqrt(1100)*-1*-5))**2.\nAnswer: 240*sqrt(11) + 17609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/6)\/(17164\/228036).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 20*a**3 - 124*a**2 - 22*a - 16. Let s(t) = -11*t**3 + 62*t**2 + 12*t + 8. Determine 6*j(f) + 11*s(f).\nAnswer: -f**3 - 62*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*m - m. Let k = -436 - -3850\/9. What is the common denominator of -1 + -1 + 89\/m and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-132)\/165 + (-2101)\/(-2595). Let k = v + -10568\/1557. Let y = 16053 - 192763\/12. Calculate the common denominator of k and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 minus -1.002483?\nAnswer: 1.402483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/2214 and 19\/19008.\nAnswer: 779328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + (-168)\/40)*-30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.1, 3, -299\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hghh when four letters picked without replacement from {g: 6, h: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 474251.4 millilitres?\nAnswer: 474.2514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 3*z**3 - 4*z**2 + 6*z + 4. Let h be (9\/6)\/(0 - 12\/(-32)). Let c be t(h). Let b be 1\/(-6) + 650\/c. Solve -5*m - o = 14, 0 = m - o + b*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 101, 3, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110100110000011101010110 + -1?\nAnswer: -1110100110000011101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -4\/273?\nAnswer: -4\/273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -3*((4*(sqrt(204) + (sqrt(204)*-2 - sqrt(204)) + sqrt(204) + sqrt(204)))\/(sqrt(12) + 5*sqrt(48)) + (1*sqrt(68)*-4)**2 + 2).\nAnswer: -3265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.533082696 times -5?\nAnswer: -2.66541348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**2\/7 + 17*s - 40\/7.\nAnswer: (s + 40)*(3*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32*1*305\/305.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = 2*h - 107. Calculate the remainder when 63 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**3*d*d*d**2*(d**(-5\/3)\/d)\/(d**3*d) assuming d is positive.\nAnswer: d**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10896120 divided by 908010.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 20 = -6*p. Let h(r) = -r**2 + 5*r - 9. Let d be h(p). Sort d, -9, 1.\nAnswer: -9, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y - 2. Let x(c) = c**2 - 2. Calculate the remainder when s(-6) is divided by x(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**5 + 112*v**4 + 4142*v**3 - 50836*v**2 - 359640*v + 406224 = 0 for v.\nAnswer: -31, -6, 1, 14, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 33646659?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 30267*g**3*i*m - g**3*i - 158496*g*i + 837*i*m wrt m.\nAnswer: 30267*g**3*i + 837*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115*(1\/(-12) + 0) and ((-120)\/35 + 3)\/(12\/8)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - 13*h + 9. What is j(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 47838413 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5116 = -7*r + 1086. Let f = r - 886. Which is smaller: f or 7\/17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = 5*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(160)\/(sqrt(8) - (sqrt(8) - 6*sqrt(24)\/sqrt(3))))\/((sqrt(240)*1 + sqrt(240))\/(sqrt(66)\/sqrt(176))).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(1\/(-5)*-2). Let r = m + -5. Solve r = g + 5 - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -220212001121 (base 3) to base 9.\nAnswer: -825047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06033 rounded to 3 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 866.447 years?\nAnswer: 0.866447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express d**2 - d**2 - d**2 - 8*d + 4*d in the form z + p*d + n*d**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 40\/5 + 2*(-3 - -1). Let m be 3213\/297 + k\/22. Calculate the greatest common divisor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 4*f. Let w(j) = 15*j**2 + 9*j. Determine z(w(b)).\nAnswer: 60*b**2 + 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*a**2*f**2*j**2 - 9526*a**2*f*j**3 + a*f**2*j**3 - 20*a*f**2*j**2 + 20*a*f**2 - 2*a*f*j + f**2*j**2 + 14*f wrt a.\nAnswer: 24*f**2*j**2 - 19052*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 8*p + 2*p - 6*p.\nAnswer: 4*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*k**2*w**3 - 7178*k**2*w + 1372*k*w**4 - 4*k*w - 2*w**2 wrt w.\nAnswer: 18*k**2 + 32928*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -41031536*a - 111033580?\nAnswer: -41031536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of -g**4\/24 - 2*g**3\/3 + 56*g**2. Determine m(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 464\/10 - 3\/(-5). Suppose i + 31 = 3*u. Let x be 1 + -3 + 0 + u. What is the greatest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15 - (-1 + 7 + -15)) + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-175)\/100 - ((-36)\/32)\/1. What is the nearest to -1\/3 in o, -0.3, 3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -102 + -1818816?\nAnswer: -1820018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-131)\/3275)\/(1\/(-2))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -14, -13, -2, 25, 74, 151, 262, 413?\n\"Answer: m**3 - m**2 - 3*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (485\/(-194))\/(10\/4*3\/(-105)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11132766?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 - 14*g - 11. What is the lowest common multiple of 28 and d(-11)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19750235599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 7157*w + 14306. Give b(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, r: 6, x: 2, c: 1, o: 3, u: 6}. What is prob of picking 1 o and 1 u?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zxybbvgz. Give prob of picking 1 v, 1 b, and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**18)**(-34)*r*r**(10\/7)*r**22 assuming r is positive.\nAnswer: r**(-4113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 - (7 - (-2 - -5)). Let l(a) = -a + 2. Let n be l(q). Let w(m) = m**2 - n*m**2 + 3*m**2. Let o(k) = 5*k. Calculate w(o(c)).\nAnswer: -75*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cqcqqqccbqqqcbcc. Give prob of sequence qqq.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.04 - -0.08. Let g = -4.96 - x. Let q = -3 - -2.7. What is the third biggest value in g, q, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -2\/5  (c) 16231  (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of 4*r**6\/15 - r**5\/10 + 15*r**4\/4 + 31*r**3\/2 + 19*r**2\/2 - 1538*r. Find the second derivative of z(x) wrt x.\nAnswer: 96*x**2 - 12*x + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((78\/(-28))\/(-13))\/((-62361)\/3198)\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 278844221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.8 and 7150104252?\nAnswer: 7150104252.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 4*m = -3*q + 5, -3*m - 12 = 0. Suppose 387 + q = 4*s. Suppose -5*p = 4*f - s, p + 137 - 51 = 3*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 - 45*l**2 - 408*l - 379. Give o(-33).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1363 + -1362.9. Let i be (-2)\/6 + 17\/33. What is the closest to 0.9 in v, 1\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of z**7\/35 + z**4\/8 - 5*z**2\/2 + 6*z. Let y(n) be the first derivative of v(n). What is the second derivative of y(t) wrt t?\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + 2*h - h)*(-10 + 1 - 10)*(-h**4 + 3*h**4 - 6*h**4).\nAnswer: 152*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 AM and 9:41 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3345*y**3 - 2*y**2 - 2*y**2 - 707*y**3.\nAnswer: -4052*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 65?  (a) 0.04  (b) 3\/17  (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.80935766 to 3 decimal places.\nAnswer: 1.809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -671, -5542, -18803, -44648, -87271, -150866?\nAnswer: -239627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 63816 (base 9) in base 16?\nAnswer: a4e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 840 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 51.8 + 125.7. Let d = o - 28.5. Let f = 166.2 - d. What is f rounded to zero decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9731\/24002 - 4\/1091. Find the common denominator of (-46)\/69*(-114)\/(-8) and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 889 = -136. List the prime factors of s.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 45 + -51. Let q be (60\/90)\/((-1)\/j). Suppose q*n - 13799984 = -2*k, -10*k + 5*k - 5*n + 34499980 = 0. What is k rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*u + z - 15, -49*u - 25 = -54*u - z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d + 5. Let t be p(-9). Let f be (-4 - -5)\/(2 - t\/11). Let h = f + 43. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -6*h**2 - 2 + 0*h**3 - 5*h + h**3 + 2*h**3 - 4*h**3. Suppose 805 = -73*b + 1949 + 4915. Calculate the remainder when b is divided by a(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -175*b**3 + 6*b**2 - 6*b + 254. Let a(x) = 524*x**3 - 17*x**2 + 17*x - 762. Let r(o) = -6*a(o) - 17*m(o). Find the first derivative of r(g) wrt g.\nAnswer: -507*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -13509, -54018, -121531, -216048, -337569, -486094?\n\"Answer: -13502*b**2 - 3*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - 2435431242?\nAnswer: -2435431235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 111 + -117. What is the hundreds digit of 522 - (3\/18 + 31\/h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -81 + 173. Let d = -37 + o. Calculate the greatest common divisor of 22 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7405?\nAnswer: 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21708293 to the nearest integer?\nAnswer: 4659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z - 4. Let w be i(-6). Suppose w*h - 5*h = -6300000. Round h to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -4  (b) 242  (c) -3  (d) 2\/93  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 165 + -162. Suppose 0 = -y + 3*s + 205, x*s - s - 593 = -3*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 305381498315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d**3*t**2 + 536*d**3*t - 2*d**3 + 2*d**2*t**2 - d**2*t - 49*t**2 + 2*t wrt d.\nAnswer: -6*t**2 + 3216*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 2*b - 22 = 0, 4*r = r + 2*b + 17. Suppose -4*i = -r*i + x - 11, -13 = -2*i - 5*x. List the prime factors of -103*(18\/27)\/(4\/i).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 PM and 12:59 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2361 + -5?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 - 5*i**2 - 3*i - 22. Let c be z(13). Suppose -x + 0*k - 2*k = -c, -5140 = -4*x + 4*k. What is the highest common factor of x and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3631.3 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4 + sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(40)\/sqrt(128)) + (sqrt(320) - (-5*(sqrt(320) - sqrt(320)*-2))**2) + -5.\nAnswer: -72021 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -2*g**3 + 4*g**2 - g + 3. Calculate h(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -25 + 66?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*d**4 - 719*d**3 - 24455*d wrt d?\nAnswer: 96*d**2 - 4314*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4*75\/6 + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 52913.4ng?\nAnswer: 52.9134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 55 - 47.4. Let h = -8 + o. Let y = h + 0.5. Which is the third smallest value?  (a) y  (b) 5  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -115204899 equal to -115204898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(20) - (sqrt(20) + sqrt(180)\/sqrt(9))) + sqrt(5) - (3 + sqrt(605))).\nAnswer: 3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-32)\/(-12)*18\/(-2). Let n = -19 - r. Differentiate -2*a**3 + 3*a**3 - a**3 - 9 + n*a**4 with respect to a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 337\/4 + 12\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (368\/(-24))\/((-4)\/(-6)). Let g(i) = -11 - 8*i + 1 + 24 + 21. What are the prime factors of g(o)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y - 2600 - 2255 - 2593 + 7448.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -4*n - 3*d, 0 = 3*n - 22*d + 20*d - 1. Solve n*r + 13 = w, -2*w - 2*w + 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4*t**4 + 2*t**3 + t. Let q(x) = 14*x**4 - 1601*x**3 - 2*x**2 + 245*x - 1. Let h(k) = 4*b(k) - q(k). Find the third derivative of h(c) wrt c.\nAnswer: 48*c + 9654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 856 - 372. Let y = -487 + x. What is the closest to 1 in 4, -1\/7, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 45*f**5 + 117435*f**4 + 76479440*f**3 - 178882840*f**2 + 136398640*f - 34112720 = 0?\nAnswer: -1306, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 776.9162604 rounded to the nearest ten?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8\/1465 or 2207?\nAnswer: 8\/1465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(76) + -4*2*sqrt(76) + sqrt(76))\/sqrt(4))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 + 9 - 20 - 30*q to c*q + g and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 403*i - 313 wrt i?\nAnswer: 403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 194\/9 at most 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*v = -35*v - 45 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10*c*y - c*z - 8*y*z + y + 515*z wrt y.\nAnswer: -10*c - 8*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 7*h**2 + h + 7. Let s be g(-7). Let b = 5 + 0. Let f(o) = 2*o + 22. Let i be f(-9). Solve s = -b*y + i*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Let r be (-4)\/(-10) + (-27)\/5. Suppose -c = 3*k + 9 - 4, k - 2*c = -4. Is ((-1)\/k)\/(r\/(-310)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.55 + 1.25. Is y not equal to 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.284 - 0.144. Round v to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*b**2 - 4 + 4)*(-b**2 - 2*b + 4*b + 5*b) to the form g*b + y*b**2 + f + t*b**3 + o*b**4 and give t.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 6*u**2 + 7*u - 4. Suppose -377 = 13*c - 507. Calculate the least common multiple of s(5) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 1 = 3*q, 5*q + 5 = -2*i - 18. Let r = 1.3 - 1.2. Let m = -0.3 - r. What is the closest to -1\/2 in 0.1, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60534*p**3 - 12*p**2 + 12*p**2 - 60529*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 343*x**3 + 34*x**3 - 36*x**3.\nAnswer: 341*x**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 6 = -2*m. Let i be (-9)\/m - 40003\/4. What is i rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -32*s - 15. List the prime factors of f(-7).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 538030 divided by 2.\nAnswer: 269015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101121?\nAnswer: 3, 37, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 343405.\nAnswer: 5, 173, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-8) + -24*(-2325)\/(-800)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 833 and 13651?\nAnswer: 668899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -60*k + 5*k**3 + 9*k**4 + k**3 - 3*k**3 + 43*k to t*k**4 + b*k**2 + l*k + x*k**3 + j and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**3 + 10964*b**2 - 209424*b + 927360.\nAnswer: 4*(b - 12)*(b - 7)*(b + 2760)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*u + 88 = -59. Suppose -u*l = 7*l - 392. Solve 0 = 3*a - l + 37 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - t + 33107, -4*t + t - 19875 = -3*o. Let d be 0\/(-2) - o\/(-11). Find the common denominator of 101\/10 and d\/42*(-6)\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 + 388*i + 218552. Give k(-312).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 5, x: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 + 6*t**2 + 5*t - 15. Determine z(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23 - -26. What is the closest to -2\/3 in j, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 1, 2*s + 2*s - 13144 = -2*b. Is 45 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 67\/5. Let i = -95\/2202 - 290\/367. What is the nearest to -4 in z, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1890 divided by -210.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(216) - sqrt(216)*1 - sqrt(216))*-6)\/(1*sqrt(192) - sqrt(12)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 429 divided by -6\nAnswer: -143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 8968?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 90\/(-135) + 0 + 11012\/(-6). Let q = -1013 - b. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 327396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19786987 rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 230388, 230483, 230580, 230679?\n\"Answer: h**2 + 92*h + 230295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -12, 1.32 in decreasing order.\nAnswer: 1.32, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1018959 is divided by 2633.\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -40, -70, -86, -82, -52, 10, 110?\n\"Answer: a**3 + a**2 - 40*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36.82 + -0.22. Let t = -37 + k. Let v be 32*(-2)\/26 - -2. Put v, 3, t, 2\/9 in descending order.\nAnswer: 3, 2\/9, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: 2335220 (base 6) to base 9\nAnswer: 204833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 162\/1253?\nAnswer: 162\/1253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/(u\/u**(-6\/11)))\/(u**(-2\/11)\/u))**(-10) assuming u is positive.\nAnswer: u**(-180\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -132*r + 117. Calculate d(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5172565 to the power of 1\/2, to the nearest integer?\nAnswer: 2274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 204060429*i**2*o**4 + 22*i**2 - 2890043 wrt o.\nAnswer: 816241716*i**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a tonne in kilograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -3*i - 2. Let d be x(-8). Let h = d + -6. Calculate the greatest common divisor of h and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xqqxqqxqxqqqxxqqqq. What is prob of sequence qqx?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 168 - 113. Let l = 71500556.999937 + -71500502. Let o = k - l. Round o to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1631 - 412. Suppose 5*k + 389 = q. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2524599 is divided by 140252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -3*z + 23, -2*z + 22 = -4*p + p. Suppose -3*y - 2*d = -5*y - 4, 0 = 4*y + z*d - 28. Solve y*f - 4 = 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 + 53*p**2 + 225*p - 156. What is the units digit of v(-48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 3 = 0, 3*l - 2*w - 1465 = 3639. Is (l\/69)\/((-2)\/(-12)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7638.0894 + -7638. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 7  (c) -2\/13  (d) 0  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -329, 5\/8, -4\/17, 2\/21.\nAnswer: -329, -4\/17, 2\/21, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 54674447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -21919542.33.\nAnswer: -21919539.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (925\/740)\/(255\/8)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**2\/5 - 292*q\/5 + 2592\/5.\nAnswer: -4*(q - 8)*(q + 81)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 265 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -42 + 32. Let r = -1 - -4. Which is the second biggest value?  (a) r  (b) h  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18 + 19 - (11 - -4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - k = 0. Solve -5*b + 12 + 8 = k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*v**2 + 23*v**2 + 23*v**2.\nAnswer: 37*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8914, -17856, -26804, -35758, -44718, -53684?\nAnswer: -62656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 263091839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 2*i - 1 - 1)*(10*i + 13*i + 7*i).\nAnswer: 120*i**2 - 60*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**2 - m + 1. Let n(x) = 3*x**2 + 20*x + 79. Let s(d) = k(d) + n(d). Let q be s(-13). Solve 2*p + 0*u - 21 = 3*u, -q*p - 19 = 5*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 33 - 15 + 3410*r**3 - 3423*r**3 - 9.\nAnswer: -13*r**3 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.61396 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*i - 14. Let z(w) be the first derivative of w**3\/3 + 5*w**2 + 11*w + 1. Calculate the smallest common multiple of 2 and z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00025350214 rounded to six decimal places?\nAnswer: -0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3463308.\nAnswer: 2, 3, 17, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -535620 - 141?\nAnswer: -535761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*j + 966 + 201 = 81 - 489 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.365333mg to tonnes.\nAnswer: 0.000000006365333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4843252 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of -i**2 - 14*i - 5. Calculate the least common multiple of q(-12) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*6*2\/144\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/4, 3, -1\/7, -5, -22, -172?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 222193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 5:46 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 176659906.5s in weeks?\nAnswer: 292.09640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 6*m - 15. Is f(5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**7\/(x*x**(-1\/43))*x**3\/(x\/((x**(-8\/5)\/x)\/x)*x*x))**30 assuming x is positive.\nAnswer: x**(3126\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**4 + 112455025*q**3 + 674730270*q**2 + 1349460620*q + 899640440.\nAnswer: -5*(q - 22491011)*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-162)*9*(-3)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (8\/10)\/(5\/25). Suppose -p*f + 132 = 2*y, 95 = 3*y + 3*f - 106. Suppose -4*u + 204 = y. What is the remainder when u is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(36)\/sqrt(3)*4 + sqrt(48)\/(sqrt(4)*2))*-4)\/(-2*-2*sqrt(6) - sqrt(42)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, e: 1, q: 1, b: 1, x: 2}. What is prob of sequence zebz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/16?  (a) 2  (b) 15759  (c) -0.5  (d) 0.2  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of -1\/36*y**4 + 0 + y - 3\/2*y**2 + 0*y**3 + 1\/180*y**5. Let t(x) be the first derivative of u(x). Factor t(h).\nAnswer: h*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/4))**(11\/5)*k\/(k\/(k*k**7))*k*k**(-4) assuming k is positive.\nAnswer: k**(89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 7, o: 5}. Give prob of picking 4 o.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, -0.3, -1, 3\/8, 0.1 in decreasing order.\nAnswer: 3\/8, 0.1, -2\/15, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g**3 + 131*g**2 - 10 - 10 - 126*g**2 to x*g**2 + u*g**3 + t + b*g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -93*f**3*q**5 - f**3*q**2 - 15*f**3*q - f**3 - 15405*f**2*q + 6529*q**6 + 5*q**2 - 2 wrt q.\nAnswer: -5580*f**3*q**2 + 783480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-11)\/(-2) + -1)*-2. Let b = q + 11. Let i = b + 1. Let x(f) = f**3 - 4*f**2 + 5*f - 2. What is x(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(330)\/sqrt(10)*3*-2)\/(-1*sqrt(243) + sqrt(147)*2))**2.\nAnswer: 396\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 16 = -5*y, -b - 3 = 2*y + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 13096.\nAnswer: 1\/13096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of 3*f**7\/7 + 5*f**3 - 27*f. Find the second derivative of n(i) wrt i.\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5080 divided by -2839?\nAnswer: 5080\/2839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/r**(2\/25))\/(r\/r**(-1\/3))*r**(-2\/3)*r*r\/(r*(r\/((r*r**2\/r*r*r)\/r))\/r*r*r) assuming r is positive.\nAnswer: r**(48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/419505 and -48\/5.\nAnswer: 419505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + 10*t**2 + 3*t - 2. Let a be l(-10). Let x = 48 + a. What is the highest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25169461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of y**5 - 15*y**4\/2 + 15*y**3 + 10*y**2 - 60*y + 129. Let g(i) = 0. What is i?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + r. Let a(c) be the third derivative of -c**6\/20 + c**4\/24 - 9*c**2 - 1. Calculate -a(d) + z(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 9278.674ug?\nAnswer: 9278674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - -2 - (1 - (-5 - -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -g**4\/5 - 8*g**3\/5 - 2*g**2\/5 + 32*g\/5 - 21\/5 = 0.\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -45, -39, -31, -21, -9, 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 + -1946.95?\nAnswer: -1947.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -243*g**3 + 496*g**3 + 12 + 2 - 255*g**3 + 13.\nAnswer: -2*g**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 95 = 7*d. Suppose -316 = 4*g + 3*b, 3*b + 434 = -5*g + 42. What is the tens digit of (d\/g)\/(2\/184)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 27  (b) -2\/3  (c) -2  (d) 0.24  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 + 4*k - 7. Let t be x(5). Let s = 8 + t. Let f = 5 + s. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21939740?\nAnswer: 2, 5, 59, 18593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 94*r - 3390. Let n be q(36). Let o(f) = f**2 + 1. Let l(w) = -8*w**2 + 2*w + 1. Determine n*o(v) - l(v).\nAnswer: 2*v**2 - 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d - 2*j - 22, 40*d - 4*j = 18*d + 11*d + 8*d + 58 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**3 + 80*p**2 + 2*p + 60. Determine v(-40).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/42*4\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10589 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13074 + 5033. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43580872 is divided by 1260.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5158 at most as big as 5158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4740 and 1975.\nAnswer: 23700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/8 or -63795?\nAnswer: -63795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 less than -0.09525297?\nAnswer: 8.90474703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 10:12 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*g - 7*g - 5 = 3*r, -2*r = -3*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1025 (base 7) to base 2\nAnswer: 101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128)*-1*-6 - sqrt(128)) + sqrt(128) + sqrt(128) + 5 - (5 + (sqrt(128) + 6*1*sqrt(128) + sqrt(128))**2))*5 + 0.\nAnswer: -40960 + 280*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4090696651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*h = 245, 4*t + 154170 = h + 154139 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9446 + 9437. Let x(j) = 10*j**2 - 9*j. Let k(t) = 2*t**2 + 3*t**2 + 0*t**2 - 4*t. Calculate b*k(a) + 4*x(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-3)*3 + -21 + -3. Let p = y + 20. Let l(c) = -c**3 - 6*c**2 - c + 2. Let z be l(p). Solve -h + z = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 720466514.\nAnswer: 2, 41, 214297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -11, -0.4, -2.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.98 + -0.02. Let d = -37 + 37.4. What is the second biggest value in d, 2\/13, a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 2*d - 19, 0 = 169*j - 174*j - 2*d + 53. What is the highest common factor of j and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 13, w: 3}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1014988\/203 or 5000?\nAnswer: 1014988\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.9, -4\/7, -1\/3, -10\/83, -0.02 in descending order.\nAnswer: 0.9, -0.02, -10\/83, -1\/3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17654 - -8392. Let o = 92511\/10 + v. Find the common denominator of -51\/4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*v - 17*v + 3300 = 75*v for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/152 and 57\/832.\nAnswer: 15808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -213*u**2 - 2*u**3 + 84*u**2 - 204*u**2 - 7*u**4 + u**4 - 2*u**3 wrt u?\nAnswer: -144*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 12*d**3 - 3*d**2 + 1. Suppose -2*n - 3*n + 10 = 0. Let y be s(n). Suppose -2*j + 102 = j. Calculate the greatest common factor of y and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-8*(-18)\/144).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -106 - 159. Suppose 0 = -5*w - 4*x + m, w - 6*x = -x - 1. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 64 and 83488?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 - 8*o + 14. Calculate the least common multiple of h(6) and 1*2 + (2 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {j: 7, k: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of -u**5\/60 + u**4\/24 + 8*u**2 + 97. Let r(d) = -20*d**2 + 32*d. Give 3*r(v) - 96*y(v).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddggccggdcddcdd. Give prob of picking 2 g and 1 d.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2248 - -2251. Solve -m*p + 9 = -3*t, -3*t + 2*p = -0 + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 - 1 - 100\/(-55). Let z = -9 + 9. Which is the third biggest value?  (a) 0.05  (b) s  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 116679.\nAnswer: 3, 19, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 4 + (-6 - (5 + -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**7*d**(-2\/5)*d**(2\/5)\/(d*d**6*d) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1, 2176, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of -61*x**4\/12 - 52*x**3\/3 + 32*x**2 + x. Differentiate w(g) wrt g.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193080715 = -4*s - 193080367 for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -4*(1 + (0 - -1) + -11) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-84 + 15)\/(4\/((-112)\/6))?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/10 + 28\/20. Let o be (n\/(-2))\/((-5)\/(-140)). Let m = 86 + o. Calculate the highest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -922852 by -7.\nAnswer: 131836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**4\/19 - 894*w**3\/19 + 2708*w**2\/19 + 3600*w\/19 = 0 for w.\nAnswer: -450, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) -6  (c) 11\/12  (d) -133  (e) -4  (f) 0.06  (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 8*l - 3. Let n(p) = -23*p + 10. Give -7*g(t) - 2*n(t).\nAnswer: -10*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ygyyyyyyyyyyyyyyyyy. Give prob of picking 3 y.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000201221 (base 3) in base 15?\nAnswer: -5ed1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of -2149*u**5\/270 - u**4\/54 + 5537*u**2. Find t, given that h(t) = 0.\nAnswer: -2\/2149, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 10*u - 1. Let b(d) = -3*d**2 - 2. Let a(w) = -1 + 5*w**2 - 6*w**2 - 2*w**2. Calculate u*b(q) - 3*a(q).\nAnswer: 3*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1561 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 181, 1161, 3773, 8827, 17133, 29501, 46741, 69663?\nAnswer: 99077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 12*c + 10. Suppose -4*z + 3*r = z + 23, 7 = -z + 3*r. Let a be (1 + 0)*z - -3. Let o(n) = -n - 1. Determine a*f(h) - 10*o(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {a: 8, p: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m**4 - 211816*m**3 + 2804126080*m**2 + 1906344*m - 25237135044 = 0.\nAnswer: -3, 3, 26477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -t - 1052, -4*y + t - 470 = 590. Let u = 509 + -507. Is u smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + f - 2*w - 63 = 0, 2*f + 108 = 5*w. Is -3 + (5 - 6 - f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*f + 38*f - 14 = -4*v, -5*f = -5*v + 10. Solve -f*a - o - 10 = 0, -4*a - 4*o = -3*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, y: 7, t: 2, w: 3, r: 1}. Give prob of picking 1 y, 1 t, and 1 o.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -86567?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-9)\/(-21))\/(-3))\/(3\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 91.34 - 91.59555. Round s to three dps.\nAnswer: -0.256","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of -13*h**6\/60 - 9*h**5\/20 + 385*h**4\/6 - 2781*h**2. Find the second derivative of d(n) wrt n.\nAnswer: -156*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*q + 2*f - 2, q + 0*f - 4*f = 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 + 31*z**2 - 59*z + 11. What is c(29)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.03 + -2.03. Sort -5\/8, l, -8 in increasing order.\nAnswer: -8, -5\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((320\/(-480))\/((-21)\/(-54)))\/(13\/(-7)).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -r**6\/120 - r**5\/30 + r**4\/24 - r**3\/3 - 3*r**2. Suppose 3*m - 3 = 3. What is the remainder when j(-3) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 2 = 14. Let d = -9606 + 9605. Sort f, d, -6.\nAnswer: -6, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h + 41 - 14 - 12 - 15.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -224790.\nAnswer: -899160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-64 - -58 - (3 - 8 - 1)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - 16, -2*i - g - 17 = -97. Calculate the greatest common factor of 4 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-44) - 45360\/77. Let z = n - -785. What is the lowest common multiple of z and 42?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1  (b) 4  (c) 19  (d) 142458  (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 20*b - 14. Let j(h) = 7*h - 5. Let f(g) = 17*j(g) - 6*x(g). Let d = -1170 + 1174. Let q(w) = 2*w**2 - 4*w - 4. Calculate d*f(a) - q(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - 2*m + 3*m)*(-3 - 6 + 2) - m - 2*m + 2*m.\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v**2 - 11*v - 6. Let u be h(-4). Factor 3*y**4 - y - y**4 + u*y**2 + 5*y - 4*y**4.\nAnswer: -2*y*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -222, -850, -1888, -3336?\nAnswer: -5194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3496966258?\nAnswer: 2, 38333, 45613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23 + 24 + 24 + 130*m - 71.\nAnswer: 130*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of 121\/2*d - 108 + 1\/6*d**3 - 11\/2*d**2. Factor j(z).\nAnswer: (z - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c456 (base 15) in base 4?\nAnswer: 112133022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*d + 3*d - 10*d as m + s*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.9 + 0.9. Let j = y - -0.9. What is the nearest to j in 2\/5, 3\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.96 + -3. Let b = f - 0.96. Suppose 2*a + 2*a + 8 = 0. What is the third smallest value in a, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-163 - -175) + -1 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of 0*m**3 - 5\/2*m**2 + 0*m - 6 + 1\/270*m**5 + 1\/54*m**4. Let b(t) be the second derivative of q(t). Factor b(v).\nAnswer: 2*v*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*x**3\/5 - 11931*x**2 + 14913*x\/5 = 0. Calculate x.\nAnswer: 0, 1\/4, 4971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 132 and 56860716?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/6*0*1. Suppose z = -c + 3*c + 2. Which is smaller: c or 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -14, -73, -204, -443, -826, -1389, -2168, -3199?\n\"Answer: -6*g**3 - 17*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a + 1. Let x be l(2). Let q = -6 + 13. Suppose 4 = -x*f + q. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 13) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*i - 41 + 8 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 + (-104 + 118 - (-1 + 0)) + -58 + 1?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -202 times 249698\nAnswer: -50438996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*r + 17*r = f + 6, -5*f = -2*r + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s + 2*s - 2*s + (-2*s + 0*s + s)*(12 + 0 + 1).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 + 9113*u + 191804. Determine p(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8794, 17719, 26644, 35569?\nAnswer: 44494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-26))\/(27*30\/(-270))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -399, -338, -255, -138, 25, 246, 537?\n\"Answer: 2*r**3 - r**2 + 50*r - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, k: 3, q: 2, i: 1}. What is prob of sequence kik?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-2)*(-3)\/((-22)\/(660\/4275))\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 2*k = -5*k - 83, 0 = 3*o - 2*k - 62. Suppose 0*r - o = -4*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1307835100?\nAnswer: 2, 5, 11, 13, 91457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*t - 40*t = -120. Suppose 0 = x + p + 14, -3*p = 2*x - 7*x - 38. Let z = -15 - -14.9. What is the closest to z in x, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118510 is divided by 58442?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 + 8*y + 11. Let i be d(-7). Suppose -62 = -i*s - 18. Let b be ((-51)\/34)\/(3\/(-10)). Solve 14 = b*p - s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -5*n + 1 - n**3 + 5*n**2 - 4 + 3*n. Let y be t(4). Let h = 313 - 307. Solve y*i - 2*i + h = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -184.77 rounded to the nearest integer?\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i**(2\/9)\/i)\/i*i)**(11\/6))**(-3\/2))**(-2\/121) assuming i is positive.\nAnswer: i**(-7\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*i**2 - 9*i**2 + i - 15*i**2 + 4*i**3 - 2*i**2 + 3*i to l*i + d*i**3 + m + g*i**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4053032 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 798764?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - 47. Let a = 116393.3 + -116441.3069. Let j = a - s. What is j rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 113, 3 in descending order.\nAnswer: 113, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - 0. Let f be -1 - (0 + q - 1). Let b = -2 + f. Solve 5*o + 2*s = 3*s + 23, -22 = -b*o - s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42403843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8016457 to the power of 1\/2, to the nearest integer?\nAnswer: 2831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 126484092 divided by 62?\nAnswer: 2040066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r - 3. Let a be f(-4). Suppose h + 11 - 3 = 4*c, 0 = -a*h + 4*c + 24. Calculate the highest common divisor of 12 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000317943 to six decimal places.\nAnswer: 0.000318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 5. List the prime factors of l\/(-6) - (-41)\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1486 divided by -16.\nAnswer: -743\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -1264*n - 374486 + 374486 + (n + 0 + 0)*(-1 - 1 + 3) - 5*n + 2*n + 4*n in the form y + t*n and give t.\nAnswer: -1262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -5. Solve i - 6 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3 + 2848482*n**2 + 5696967*n + 2848484.\nAnswer: -(n - 2848484)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-14)*((-2944)\/(-1288))\/(-2*12\/(-28))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 66 and 1221.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4073 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 5*b**3 + 6*b + 6. Suppose -n + 8 = 2*y + n, -4*y + n = -26. Let x(a) = 5*a**3 + 5*a + 5. Determine y*x(q) - 5*t(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2577.2982 months in years?\nAnswer: 214.77485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-24)*4)\/(-1*4\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 3 = 12. Solve 3*m - 4*n - 1 + 4 = 0, -5*m - 5 = a*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 593793*b - 35 = -593799*b, 3*b - 25 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 + 24*q + 10. Let a(g) = 2*g**2 + 28*g - 18. Let w be a(-15). Let i be z(w). Calculate the highest common divisor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08 plus 788?\nAnswer: 787.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 2*s = -0*d - 2, -2*d + 4*s + 28 = 0. Suppose -12 = -4*v - 4*y, y = 5*v - 3*y - 42. What is the highest common factor of d and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 77 - 1b586d?\nAnswer: -1b57e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -24 - -725?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3089973?\nAnswer: 3, 67, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1873349 by -263.\nAnswer: -7123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4242 - 4242.000773. Round h to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 139146, 139144, 139142, 139140?\nAnswer: 139138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 640, 2558, 5748, 10210, 15944?\nAnswer: 22950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {r: 1, h: 1, b: 5, e: 9}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - -30950?\nAnswer: 30945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 11) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*2*sqrt(49))\/sqrt(7).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 8, h: 1, a: 1, z: 4, j: 2}. Give prob of picking 2 j, 1 z, and 1 a.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -475 or -474?\nAnswer: -474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of y**4\/4 + 7*y**3\/6 - 2*y**2. Suppose 4*q + 15 = 7*q. Is c(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 3*s**3. Let x be i(-1). Let d be (-1)\/x*(-6)\/2. Let t = 1 + d. Is t not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 38 - (-48 - (-20 + -7))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:34 PM and 5:45 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -526*a - 61816 + 60741 = 1956*a - 187225 for a.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 21*l - 34*l + 15*l. Let p(a) be the first derivative of -15*a**2\/2 + 5. What is k(p(c))?\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - d - 3*g + 4, 3*g = 0. Solve l + 2 = 4*a - 6, 0 = -l - 2*a - d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -5*l + 24, -1462*l + 1466*l = 3*h - 18 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3535 - 2614 + 2330)*((0 + 0 - 2)*(2*o + 2*o + 4*o) + 1 - 1 - 2*o) in the form t + i*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 31032 divided by -6\nAnswer: -5172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 10*m + 46. Let y(v) = 2*v + 9. Let n(l) = 2*q(l) - 11*y(l). Calculate n(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -11*g**2 - 4*g - 7. Let j(k) = -23*k**2 - 9*k - 15. Give 6*j(o) - 13*m(o).\nAnswer: 5*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + 13*v**2 - 8*v + 110. Calculate i(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m*r**2 + 12*m - 73*r**2 - 60088*r - 38330 wrt r.\nAnswer: -4*m*r - 146*r - 60088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -57 + 55. Which is greater: h or -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8065529033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 6*u**2 - 7*u + 5. Let t be w(1). Solve -i = i + t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103 + 31 = -4*h. Suppose -4*s + h + 31 = -3*u, 2*s - 4*u = 22. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 5, -120, 0.2, -4, 106?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -16289 divided by -3\nAnswer: 16289\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11\/30 + -1\/30. Let w = -23098 - -207872\/9. What is the nearest to 6\/11 in w, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 209 = -19*w + 38 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 - 16 = -4*s. Let k(m) = 8*m + 42 + m**2 - 42. Let o be k(s). Sort 5, -3, o in increasing order.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2528572 to the power of 1\/2, to the nearest integer?\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, k: 3, s: 9, c: 2}. Give prob of picking 1 c and 1 k.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 11*z + 9. Let x(l) = -6*l - 9. Let a(c) = c. Let j(w) = 4*a(w) - x(w). Let o(d) = 6*j(d) - 5*m(d). Let n(y) = 2*y. Give n(o(k)).\nAnswer: 10*k + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 - 18. What is the lowest common multiple of h and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 17*g + 3. Let v = -3 - 4. Let f be t(v). What is f rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 997495 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2\/8 - 560589*c\/4 - 314260026921\/8.\nAnswer: -(c + 560589)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2062*h - 428*h + 2687*h - 700*h + 1721*h to r + u*h and give u.\nAnswer: 5342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -683902 less than -683900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (1695\/(-6780))\/(21\/6)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1126513 (base 8) to base 4\nAnswer: -1022311023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19694 = -300*x + 2894 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, s: 4, b: 1, u: 1, k: 3, a: 6}. What is prob of sequence kssk?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2470*j - 2465*j - 5*g = 5, g = -3*j - 1. Find b, given that 18\/5*b + 48\/5*b**2 + j + 32\/5*b**3 = 0.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1845 - 233*k**2 + 1845 + 682*k**2 - 223*k**2 - 228*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 + 9. Suppose 0 = -2*q - v*q + 68. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 26 + -25.8. Which is smaller: -11 or r?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 8:07 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 104 = -34. What is the remainder when k is divided by -2 + (-3 - -1 - -16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 5 + 20047*s - 20049*s + 1. Let c(f) = 2*f - 7. Calculate -7*b(x) - 6*c(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 - 13.0000015. What is t rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*o**3 - o + 2*o**3 - o**2 - 9*o**2 - 3*o**3 to z*o**3 + s*o + t + b*o**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7879*x + 7099*x = -13260 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 17, d: 1}. What is prob of sequence dood?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22110111 + -1?\nAnswer: -22110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19 + -6.5.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1000.906 - 5.694. What is x rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 5 = 3*w. Suppose -k + 3*n + 20 = 3, 3*k + 5*n = 9. Suppose 0*b + k = 2*b. Solve o - b*d = -7*d - 18, -2*d - 19 = w*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bpbp when four letters picked without replacement from pbbpppbp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 - 4)*(9*l + 10*l - 2*l) + (-5 + 5 + 2)*(5*l + l - 3*l) - 6*l + 4*l + 0*l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -37*l - 5. Let n be s(-1). Is 15 a factor of 1 + n*10 - 33\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - 3*t + t)*(6 - t - 6).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1213, 3, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10041 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -96\/5 - -1258\/65. Suppose 12 = -4*r + 8. Let x be -10 - -10 - r*1. Which is bigger: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 3  (c) -428\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -2*a + 7. Suppose 0 = -5*g + a + 7. Let s(h) be the third derivative of h**5\/60 - 5*h**4\/24 - h**3\/3 + 6*h**2. Determine s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5752202351?\nAnswer: 7, 281, 2924353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 24376339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 0. Let p = 48 - 48. Suppose p = -k*a + a - 2. What is the least common multiple of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of b**2\/2 + 10*b - 21. Let x be d(-12). Let y(o) = -o**3 - o**2 - 2. Give y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-36)\/35)\/(12\/(-90)) and 101\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -228, -623, -1032, -1449, -1868, -2283, -2688?\nAnswer: -3077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - p)*(12919*p + 10 - 10 - 1601*p) in the form o*p**2 + q + z*p and give o.\nAnswer: -11318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 - -9. Is j\/(-28)*474 - 3\/(-21) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 60208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*p - 16. Suppose -p = 2*z + z. Let r(d) = -3*d**3 + 2*d - 3. Let m(c) = -c**3 - 1. Determine z*m(n) + r(n).\nAnswer: n**3 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.02 and -17.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8122 and 1178?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 PM and 2:15 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 408819209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 7*d = 0. Let l(z) = z**3 + 4*z**2 + 2*z - 1. Let i be l(-2). What is b in -b**i - b**2 + d*b + 0 + b + 1 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -3434*d - 161364. Determine x(-47).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.4839 centuries in years?\nAnswer: 448.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-69)\/(72450\/140))\/((-8)\/(-276)).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b + 11. Let m be r(-11). Let n = 35 + m. Put n, 1, -2\/9 in decreasing order.\nAnswer: n, 1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 + 10*n**2 - 32*n + 203. What is z(-14)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 618 - 610. Let i be v + (-384)\/(-6) - 0. Calculate the greatest common divisor of 54 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -144 - 10*t**2 - 11*t - 13*t**2 + 80 + 75. Let m(x) = 12*x**2 + x - 1. Let a(v) = 6*v**2. Let c(r) = 5*a(r) - 3*m(r). Give -22*c(p) + 6*k(p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 2\/9*f**4 - 5150\/9*f + 572\/3 + 1718\/3*f**2 - 574\/3*f**3 = 0?\nAnswer: 1, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/27*((-9)\/(45\/(-4)))\/(-2).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3109055 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, h: 5, d: 7}. Give prob of picking 1 m and 2 d.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 21 = 4*f. Let s(d) = 2*d - 7. Let n be s(f). Suppose -n*y + 56 = -3*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 978 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 38421 + 258313 = 4*l, 2*y + 109938 = 2*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - -1. Suppose -2*s = 2*s - 12. Suppose -3*j + a + 68 = -4*a, -s*j = -a - 52. Calculate the remainder when j is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -14. Is 57\/j*-6 - 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-11)\/q*q\/(q\/q**(-11))*q\/q**(-1\/6)*q**(-15) assuming q is positive.\nAnswer: q**(-221\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13726 - -13726.49745. What is h rounded to 3 decimal places?\nAnswer: 0.497","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(125) + -1 + (6*(0 + sqrt(125)) - sqrt(125))**2 - -6*((sqrt(60)*2)\/sqrt(12) + 4).\nAnswer: 2*sqrt(5) + 3148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 326 + -336. Let a(q) = q**2 + 10*q + 36. What is the remainder when 77 is divided by a(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1, -3, -7, -13, -21, -31, -43?\n\"Answer: -n**2 + n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -701 - -1414. Let h = -7137\/10 + a. Find the common denominator of -121\/6 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 98*z + 5805108 = 0. Round z to the nearest one thousand.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of -f**3\/9 + 1619*f**2\/3 - 2621161*f\/3 - 7269. Factor i(j).\nAnswer: -(j - 1619)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*((-4)\/(-48)*2)\/(-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eeb when three letters picked without replacement from {b: 6, e: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17\/119)\/((-4)\/7).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8)\/(-16)*2*3. Suppose -2*s = 3*p + p - 476, x*s = -3*p + 723. Suppose 4*r = 520 + s. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-12)\/(-18))\/(2\/3). Suppose 6*d + i - 1 = 0. Solve -z - 5*l + 11 = d, 4*z = -z + 4*l - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 564 and 4042.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 - 3*m - 2. Let x be v(4). Let h be (2\/4)\/((-1)\/x). Let l(s) be the third derivative of -s**6\/24 - s**5\/60 - s**4\/24 - 38*s**2. Give l(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2\/9398915?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 85 + -74.8. Let h = 18.4 - x. Let f = -8 + h. Which is smaller: f or 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -5*m**3 - 27070*m**2 + 162555*m - 243900 = 0.\nAnswer: -5420, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**4 - 13*t - 6*t**3 - 19*t - 5 + 48*t - 10*t + 4*t**2 = 0. What is t?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8778 and 1515822?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -20 divided by 3672\nAnswer: -5\/918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 553\/49 - 4\/14. Let i be (-16)\/(-14) + (-136)\/(-28). Solve -8*o - i = -r*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3567276 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 41707.\nAnswer: 208535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of -r**3\/3 - 64*r - 85. Let v(q) = -q**2. Determine w(v(l)).\nAnswer: -l**4 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 29*t. What is s(-1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 20 = x. Let g(i) = -2*i + x*i - i. Let a(s) = 2*s**2. What is g(a(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -7*w**3 + 152*w**2 + 43*w + 18. Let c be r(22). Let g(t) = t**3 + 4*t**2 + 4*t + 4. What is g(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 54670 = x, -25*l + 28*l - 5*x - 40991 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011011100100 + -111000?\nAnswer: -10011100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13\/22 in 0.1, -0.4, 0.4, 5, -283, 5\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s - 47. Let p = -5393 + 5393. Calculate i(p).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -319*g = -91*g + 7920 - 624 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 849, 3757, 8609, 15405, 24145, 34829, 47457?\n\"Answer: 972*i**2 - 8*i - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o + 12. Let h be j(7). Calculate the highest common divisor of 20 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -34716 - -11?\nAnswer: -34705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (39 + -34)\/(10\/172) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1609*f*p**4 - 2*f*p + 15562*p**3 - 33*p**2 - 1809993*p wrt p.\nAnswer: -38616*f*p + 93372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.6 + 0.2. Let b = 0.41 - -17.59. Let v = -19 + b. What is the second biggest value in 0, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 860378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3213 + 2a4?\nAnswer: 34b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 5*m = -66, -z + 8 - 2 = -4*m. Calculate the remainder when 152 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-370)\/100 - 12\/(-3).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes after 2:56 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*t = -13*t - 8. Suppose t*s + 4*n = s - 8, -3*s + 21 = -3*n. Solve -w + 3*w - s = i, i + w = 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -25?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 16304*q + 7 - 125 + 113.\nAnswer: 16304*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3007129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3208 - 10461 = -164*k + 3243. Let s = -4 + 5. What is the remainder when k is divided by (-2 + 1)\/s - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -265.3773 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -343581800 divided by -3650\nAnswer: 94132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f. Let m(b) = -130*b. Let v(l) = m(l) - 60*r(l). Let y(n) = -2*n**2. Determine v(y(c)).\nAnswer: 380*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87351 is divided by 10918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 115 - 1956\/17. What is the nearest to 0.1 in -2, v, 4\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**4\/2 - r**3\/2 - 23*r**2\/2 - 3*r\/2 + 45.\nAnswer: (r - 5)*(r - 2)*(r + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4208607.67 rounded to the nearest 1000?\nAnswer: -4209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 28852082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 448743727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 59051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 - 8)*(-2 + 2 - 2*s)*(-1 - 1 + 3).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -5*y + 109, -31 - 14 = -2*y + 3*q. Solve -15*i - y*i + 144 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -189630, -189633, -189636, -189639, -189642, -189645?\n\"Answer: -3*b - 189627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*d + 16*d = j + 5, 2*d - j = 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j. Let d(p) = 123*p - 53 - 62 + 115. Give n(d(a)).\nAnswer: 246*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 788.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 101*h**4 + 166*h**3*p + 4*h**2*p + 9*h*p + 7*h + 2765*p + 2 wrt h.\nAnswer: 1212*h**2 + 996*h*p + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 3*o = 18, -4*w - 4 - 11 = 3*o. Let g(u) = -u**2 - u - 4. Determine g(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 12, 5*r - 4*z = -2 - 1. Let w be 318\/36*(-3 - (-207)\/66). Let g = w + -5\/11. What is the nearest to 0.3 in g, r, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(99) + 2)*-2)**2 + -1 + (3 + sqrt(22)\/sqrt(2) + sqrt(11) - (3*(sqrt(33)\/sqrt(3))**2 + sqrt(11)) - (-3 + 1 + (sqrt(11) - sqrt(176))**2)).\nAnswer: 769*sqrt(11) + 6464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 52*l - 422. Calculate f(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 3 = -3*s, -2*q - 2 = -2*s - 30. Solve q*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 3*u - 27 = 0, u - 5 = 2*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75122836*n + 27 - 27 + 75122843*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 576435 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:43 AM and 9:46 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 AM and 5:41 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 171*i**5 + 7*i**4 - 218*i**3 - 29*i**2 + 19394*i - 1.\nAnswer: 10260*i**2 + 168*i - 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -15*y + 3 + 15*y - y**2 + 6. Let s(t) = 6*t**2. Determine s(r(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 639713, 1279401, 1919075, 2558729, 3198357, 3837953?\n\"Answer: -g**3 - g**2 + 639698*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4973 + 4972.7. What is the closest to 2\/11 in 0, -33, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32\/2352583 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -650, -1309, -1980, -2669, -3382?\nAnswer: -4125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 1816*q - 10895. Let c be g(6). Let z(v) = -v**3 - v**2 + v - 1. Let i(j) = 10*j**3 + 6*j**2 - 5*j + 5. Determine c*i(l) + 4*z(l).\nAnswer: 6*l**3 + 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/(-4))\/(1 + 35\/(-50)). Suppose l*t - 223 - 472 = -5*v, -3*v + 397 = -2*t. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 328825595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r - 156 + 156. Let h(b) = 2*b. Let c(s) = -6*h(s) + 4*j(s). Let o(z) = 2 + z - 2. Calculate c(o(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + 3*u**2 - 2*u - 4. Let q be m(-2). Let w be 2\/q*(24 + -22). Let y(l) = l**2 - 1. Let j(i) = 8*i**2 - 4. Determine w*j(s) - 5*y(s).\nAnswer: 3*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/(r*r**3)*r*r**(-2\/3))**(-38)*((r\/r**(-1\/3))\/(r*r*r**5))**4 assuming r is positive.\nAnswer: r**(122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 3*c - 422, -3*c + 414 = 2*x - 5*x. Let h = c + -47. What is the remainder when h is divided by 2\/(-4) + (-90)\/(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -5. Suppose -3*k = 2*k - 20. Suppose 5*j + 25 = 0, -k*a - c*j + j = -99. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6137 to 2 decimal places.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5*(36\/(-45)*5)\/(-12)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 28\/(3 - (0 - (-75)\/24)). Let z = i + 277. Calculate the remainder when 149 is divided by z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1067 = -33*w - 64*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 4 + 0)*(2437*j - 588*j + 330*j) as i*j + o and give i.\nAnswer: -2179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 236497437841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 2*n + 29 - 3, 0 = 5*n + 15. Determine f so that -1\/2*f**5 - 3\/2*f**c + 0*f + 0 + 2*f**2 + 0*f**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-10070)\/(-3) - 3) + 7\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 70, -74, 13?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 181236\/35, -2\/299 in descending order.\nAnswer: 181236\/35, -2\/299, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -8140400 rounded to the nearest one hundred thousand?\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 + -9. Suppose -k*p + 6*p = -20, 2*a = 5*p + 600025. What is a rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2240313 (base 5) to base 14\nAnswer: -10871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d**(11\/2)\/d)*d)\/(d**2*d))\/((d*d\/((d*d\/d**13)\/d))\/d**11) assuming d is positive.\nAnswer: d**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 PM and 5:54 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 1 - 11097*h - 19947*h + 5.\nAnswer: -31044*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -1103*l - 4451. What is x(-4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.09 and 0.158336.\nAnswer: -0.01425024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -18*p + 2*p - 32 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 154 (base 11) to base 16\nAnswer: b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 633*a = -6404 - 5623 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 76955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.18 - 0.08. Which is the nearest to -1?  (a) 5  (b) 2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*v + 36*v - 50141. What is the second derivative of -11*m + 52*m**3 - 167*m**3 + 2643 - v wrt m?\nAnswer: -690*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -6335, -25340, -57013, -101354, -158363?\n\"Answer: -6334*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4158492 a multiple of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 5, u: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -138202163 divided by -187.\nAnswer: 739049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 36.25 - 38.15. Suppose -2*p - 24 = -5*f, 5*f - 8 = 3*p + 18. Which is the third biggest value?  (a) p  (b) 3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 1364799247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -9*w - 1. Suppose 4*j = -j + 35. Let m be 44\/j - (-8)\/(-28). Let h = m + -5. Calculate x(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 468*p + 3031 - 752 = 422*p, 0 = 5*p + 245 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4542083 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12841?\nAnswer: 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-6) + 8\/(-12). Let j(o) = -o + 7. Let c be j(5). Factor -2 + 2 + 1 - b**2 + d*b**c.\nAnswer: -(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10655140569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - ((-8 - (2 + 0)) + 5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7\/3 of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1582 + 1589.13. Let p = b + -0.13. Let i = -7.4 + p. Sort -2\/3, i, 3.\nAnswer: -2\/3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00120105 rounded to six decimal places?\nAnswer: -0.001201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46, 155, 328, 559, 842, 1171?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2290922.005556 + 120.\nAnswer: 2291042.005556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 55961509*r + 7549227?\nAnswer: 55961509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*t - 4*p, -4*p - 3 = -3*t - p. Suppose t*i - 2 = 4. Let x be ((-4)\/i - -2)*-3. Which is the nearest to x?  (a) -0.3  (b) 3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 8 = -x, -5*x - 5*w - 14 = -34. Let o(k) = 1. Let a(t) = -t**2 + 6*t + 6. What is x*a(z) - 4*o(z)?\nAnswer: -z**2 + 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 549 = 17*z + 719 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 405896580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 8:28 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -932 in descending order.\nAnswer: 2, -1, -932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146003 is divided by 310?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 48 + -141. Let r = x - -93. Which is smaller: -47 or r?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -410 - -421. Suppose 2*g - 4*u - 32 = 0, -2*g - 9*u = -z*u - 24. What is the remainder when 29 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 225 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1152 and 3.\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -1 - (3 - 1) - (-632 + 122)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qci when three letters picked without replacement from qpcqpifti.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -7*h + 170. Let j(t) be the first derivative of 13*t**2\/2 - 339*t - 39. Let i(x) = -7*a(x) - 4*j(x). Is i(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -48*r + 1107. Determine y(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 308.337412 take away 7?\nAnswer: 301.337412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -937547 smaller than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l - l - 2*l**2)*(-l + l - l**2) + (59*l - 115*l + 63*l - 3)*(-l**3 + 0*l**3 + 5*l**3) to s*l**3 + f*l + j + g*l**4 + d*l**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(12\/5))**(-31\/3)\/(r**(-1\/8)\/r**2) assuming r is positive.\nAnswer: r**(-907\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -280*a**2 - 80*a - 373253 wrt a.\nAnswer: -560*a - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 0*o**2 - 3*o**2 - 27 + 13 + 16*o**2 - 3*o**2 + 78*o. Let q be u(-8). Solve 0*g**3 - 3\/2*g + 0 + 3\/4*g**4 - 9\/4*g**q = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 89012 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1869 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 143.2 + 0.2\nAnswer: 143.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8 - -1)\/(3\/2). Let l be 14\/18 - 22\/(-99). Let y be 1\/(l + 2\/(-4)). Calculate the highest common divisor of v and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 62.49 + -60.3004. Round b to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.4  (b) 5\/2  (c) -15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13314210 to the nearest integer?\nAnswer: 3649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*d**5\/5 - 46*d**4\/5 + 64*d**3\/5 + 72*d**2 - 576*d\/5 = 0. What is d?\nAnswer: -24, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/21, -10, 1\/8, 0.3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 288 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c = -131 - 359. Suppose 77 = 4*f + 9. Calculate the remainder when (-26)\/((c\/(-25))\/7) is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4958321?\nAnswer: 4958321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.04, -0.1, 0.8, -5 in descending order.\nAnswer: 0.8, 0.04, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 - 7. Suppose -3*o - x*u = -5*o + 6, -6 = -o + 3*u. Suppose -8 = -2*k - o. Solve -k*g - 29 = 3*b - 9, -g - 2*b = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 11, -2, 141.\nAnswer: -2, 3, 11, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -51c3 (base 14) in base 8?\nAnswer: -33407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.07, 4, 0.3, -2 in descending order.\nAnswer: 4, 0.3, 0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 5*z - 20, 24*z = 2*a + 19*z - 14. Solve -2*q + 6 + 0 = 2*y, 2*y - a*q = 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 7, 5, -4 in descending order.\nAnswer: 7, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 265892170 by -26589217.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1427 - -16?\nAnswer: -1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -20*a**5 - 2*a**3 - 13*a**3 + 24*a + 6*a**5 + 42*a**4 - 42*a**2 + 5*a**5 = 0.\nAnswer: -1, 0, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56 + -30. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/78)\/(((-1050)\/14300)\/21)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -2*r + 70, -r - 5*f = -4*f - 29. What is the remainder when r is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10296)\/(-69264))\/(11\/4)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/26500 and -85\/42.\nAnswer: 556500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 136 - 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*q - 84 = -33*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 4*w + 10. Let j be m(6). Let y = j + 1. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 2*r - 21 = -2*z, -12 = -5*r + z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 194536\/23 + -8458. What is the biggest value in -0.05, 2, y, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -290*o + 24 = 4*p - 287*o, 3*p - 37 = -7*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 3*r - 39, -r - 2*v = -0 - 15. Suppose r = -5*t + 31. Suppose q + w - 9 = -2*w, t*w = 3*q - 1. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111111 + 101?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/(-1980))\/(4\/(-36))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 8*u + 19. Let t be j(-3). Is (-10)\/(-50) - 34\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 47*x**2 + 131*x**2 - 51*x**2 + (-x + 0*x - x)*(-2*x - 3*x + 3*x)*(-1 + 3 - 1).\nAnswer: 131*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 577325 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - -4. Suppose -2*s - 16 = -4*g, 4*s + g = -0*g + 13. Let f be (s + -2)*1\/(-3). Solve -a - 4 = f, a = r - u*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 6*l - 4. What is the remainder when (1\/((-1)\/3) + -75)\/(-2) is divided by v(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35*(-9)\/810)\/((-3)\/(-6)*104\/156).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 8\/12 - 3\/(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z + 2. Let u be j(4). Let n(r) be the third derivative of -r**6\/60 - r**5\/20 - r**4\/8 - 2*r**2. What is the remainder when 18 is divided by n(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -799*u**2 + 59*u**2 - 993*u**2 to the form w*u + z*u**2 + r and give z.\nAnswer: -1733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -223103011 (base 4) to base 6\nAnswer: -3445021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3201849 millimeters in nanometers?\nAnswer: 320184.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) -21  (c) -555\/2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 + 11*y + 23. What is w(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 4*v**3 - 2*v**2 + 2*v - 2. Let j be 16\/(-20)*10\/(-4). Is 13 a factor of a(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 + -15. Suppose -d = 4*r - 0*d - 94, -2*r - i*d = -54. Find the third derivative of 25*f**6 - 25*f**6 - r*f**6 + 21*f**2 wrt f.\nAnswer: -2760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -343246, -343288, -343332, -343378, -343426?\n\"Answer: -p**2 - 39*p - 343206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2750?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4060 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 164*c - 637454 = 25*c. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.011 - 0.008. Let m = 4.597 + t. Round m to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-12 + -6 - -18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 240 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1620631795.\nAnswer: 5, 29, 31, 360541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 353 a factor of 302874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4 - 2.4. Let c = 0.07 - 4.07. Let v = c - -4. What is the closest to 1\/4 in v, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f - 48 + 58 = -38 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 + -0.572\nAnswer: -0.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + -5. Let p = -38 - -38.34. Let u = -0.06 - p. Sort v, u, -0.2 in descending order.\nAnswer: v, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 - 17 - (-12 - -13).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 1)*(473646*b + 14192*b**3 - 473646*b).\nAnswer: -28384*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 20500177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 1 - 0 - (-8 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (856\/(-4))\/(2\/(-3))?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -64 + 2 + (82 - 44).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of s**6\/360 + 20*s**3 - 74. Let n(h) be the third derivative of t(h). Let y(l) = 208*l**2. Give n(y(i)).\nAnswer: 43264*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 180, 9, -1111 in decreasing order.\nAnswer: 180, 9, -1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/43, -5, 0?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.249 - 0.751. What is the closest to s in 2\/9, 1\/6, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 w, 1 s, and 1 a when four letters picked without replacement from asweobeb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1525 - 754. Suppose -f = -j + 64 + 192, -n = 3*f - 2*j. Let x = 530 + f. What are the prime factors of x?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/5 smaller than -21.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 32384*0.4\nAnswer: 12953.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1748, -1634, -1520, -1406?\n\"Answer: 114*j - 1862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1\/14338 + 286757\/43014. Suppose -5 = -5*g + 4*g. Find the common denominator of (380\/25)\/(9\/g) and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + -5*(2 + -3). Let q(s) = -1 - p + 4 + 4*s. Give q(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -154 + 159. Put 3, u, -11 in decreasing order.\nAnswer: u, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 - 5*y - 4. Let b(v) = -v**2 + 9*v + 2. Let u be b(9). Let k be 1 + (-2 - u) + 0. What is the remainder when s(k) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-10)\/3)\/(8\/(-36)). Suppose -3*f + 2*f + 3 = b, -f + 5*b + a = 0. Find the second derivative of -11*t + f*t - 24*t**3 + 21*t**3 wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 11*j + 33. Let q be f(-2). Let m = -9 + q. Calculate the lowest common multiple of m and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5 - -4)*-19 + 2. Is 3\/(-7) - (-26616)\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/29627415 and 33\/36076.\nAnswer: 118509660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(7) - sqrt(21)\/(sqrt(12)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -119340 divided by 1326\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 31408695167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 43141880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 3. Let s be 1 + c*(3 + -6). Solve -q - 3 - 3 = -3*r, -s*q = 5*r - 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -349*z**4 - z**3 + 174531*z**2 - 228008404*z wrt z?\nAnswer: -4188*z**2 - 6*z + 349062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.078  (b) -8  (c) 4100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 306813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 704298 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26933 + 26933 + 7047*n - 7046*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 2*q - 9 + 24 - 8.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 4*d - 83 - 172, 0 = d - 2*x - 62. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 192045260 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**2. Let b(a) = 5*a - 4. Let h(l) = 5*l - 3. Let y(q) = -3*b(q) + 4*h(q). Determine m(y(d)).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7530 + -7370. Suppose 4*a - 2 - 130 = 0. What is the remainder when h is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**2 + 1674*t + 233523.\nAnswer: 3*(t + 279)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 32 = 11*n. Find the third derivative of -2*u - 5*u + 9*u + 25*u**2 - n*u**3 + 36*u**2 - 3*u**4 wrt u.\nAnswer: -72*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37927111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 + 18*c**2 + 5. Determine z(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 5*r**5 + 299715*r**4 + 8687375*r**3 - 9286815*r**2 - 8687380*r + 8987100 = 0.\nAnswer: -59914, -30, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 9. Solve -5*b + 0*b - 5 = k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -1101111111100?\nAnswer: 1101111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, v: 2, c: 2}. Give prob of picking 1 v, 2 c, and 1 r.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 91191 and 91195 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1670527155 by -111368477.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*n**2 + 245*n**2 - 217*n**2.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8.82 - 378.82. Let g = 223 + c. Let z = g - -147.044. What is z rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -8*x + 21. Let k(z) = -9*z + 20. Let v(j) = -4*d(j) + 3*k(j). Let s be 0 + (-21)\/(-3) + 0. What is the remainder when 43 is divided by v(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8709 - 8704. Which is the smallest value?  (a) 1.11  (b) 0.5  (c) o  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 (base 9) in base 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 2 p when four letters picked without replacement from {r: 1, l: 3, q: 5, c: 1, p: 3, t: 1}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-69)\/115 - (3563\/70 - 11\/22).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 6*d + 7*d**3 - 4*d - 2*d**2 - 6*d**3. Let c be y(2). Solve -q + 4 = 5*m - 3*q, -3*m = c*q + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 116.183 + 0.3697.\nAnswer: 116.5527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/37?  (a) 1  (b) -2  (c) -2\/15  (d) -5911  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*o + 327 = 148*o - 317 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 - 9*t**2 + t + 13. Let r be x(-9). Calculate the greatest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 245000 less than -6.9?\nAnswer: -245006.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + 3 + -1 - 2) + (-15 - -32)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ofgwfjoy. What is prob of sequence fyoj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 18*w - 10. Let x be f(4). Let y(l) = -31*l - 31*l + x*l - 17*l**2. Let k(t) be the first derivative of t**2\/2 + 1. Give y(k(p)).\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -34*a - 21. Let r be l(-4). Let w = 88 - r. Is (34\/3)\/(((-48)\/w)\/8) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 155, 187, 241, 317, 415?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 133 (base 4) to base 5.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 263 - 9*f - 263.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1c - 88?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 4*n + 4 = 0, 0*g + 4 = 2*g + n. Suppose -4*z**3 + 18*z + 3*z**g - 96 + 3*z**4 + 96 - 8*z**3 = 0. What is z?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + (-13 - (-7 + -4 + -8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2518)\/6)\/(20\/(-660)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 749*q**3 + 760*q**3 - 1439*q**3.\nAnswer: 70*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*k + 6*h - 5*h - 30, -2*k - 21*h = 3*k - 946 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -5*m + 182. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1495 - 8110 = -3*v - 2*j, 0 = 4*v - j - 8809. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2143.5 + -2143. What is the biggest value in -0.4, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*w**3 + 5 - 5 + (-2*w**2 - 2*w**2 + 3*w**2)*(w - 5*w + 5*w) - 1274 + 1274 + 913*w**3 to l*w + x*w**2 + o + t*w**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14325 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 59\/4 + (88\/(-32) - -3). Suppose z = -3*p + 27. What is the greatest common factor of p and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -22007\/60989 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101 (base 4) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*j**3 + 6070*j**2 - 3174080*j + 352601600 = 0. What is j?\nAnswer: -1630, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 49816875*w**4 + 1693724850*w**3 + 14395414287*w**2 - 14131692*w + 3468.\nAnswer: 3*(w + 17)**2*(4075*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (-13 - (-8 + (0 - (-1 - 8)))) - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -614, -1201, -1774, -2327, -2854, -3349, -3806, -4219?\nAnswer: -4582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c - 11*c**2 + c**3 + 0*c**4 + c**4 + 22*c**2 in the form q*c**3 + s + r*c**4 + p*c + m*c**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2386 and 14.\nAnswer: 16702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 6 = -4. Let h = f - -4. Is (-18)\/(-7)*28\/h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 468012151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 284 and 16?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3530151137.\nAnswer: 3530151137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*v - 312 = 704 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10541719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of 41*j**6\/30 + 3*j**5\/10 - j**4\/4 - 233*j**3\/6 - 1977*j. What is the third derivative of b(x) wrt x?\nAnswer: 984*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/2 + 1\/2. Let h = 2 - r. Find the third derivative of -m**5 - 2*m**2 - h*m**2 + 4*m**2 + 0*m**2 wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.5, -37, -24 in decreasing order.\nAnswer: 0.5, 0, -24, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -400, -1177, -2472, -4285, -6616, -9465, -12832?\n\"Answer: -259*a**2 - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/1)\/((-1092)\/(-336))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 4*n + 29. Let u be j(-6). Let c(k) = 11*k - 54. Let a be c(u). Let d be (-2)\/(-8) - 38\/(-8). Put a, 4, -3, d in ascending order.\nAnswer: -3, a, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0234777756 rounded to four dps?\nAnswer: -0.0235","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*h*i*u**3 + 3*h*i*u**2 + 42*h*i*u + 2*h*i - 7*h*u + 187678*i*u**3 + 2*i*u - 2*u**2 - 684*u wrt u.\nAnswer: -72*h*i + 1126068*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of w**7\/252 - w**6\/240 + w**4\/12 + 5*w. Let q(b) be the third derivative of a(b). Find the second derivative of q(z) wrt z.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 2*f. Let c(j) be the second derivative of 0*j**4 - 1\/6*j**3 - j + f*j**2 + 0 + 0*j**5 - 1\/15*j**6. Find the second derivative of c(v) wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 8 + -3 + 5 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 54 = -5*x - 7, -x = j - 31. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(0 + (1 + (sqrt(1008) - (sqrt(1008) + 1 - sqrt(1008))*-2) + sqrt(1008) - (6*(-2*sqrt(1008) - sqrt(1008)) - (-4*sqrt(1008)*2 + sqrt(1008))))**2)*-2.\nAnswer: -1022166 - 5616*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -38184, -38051, -37832, -37527, -37136, -36659, -36096?\n\"Answer: 43*q**2 + 4*q - 38231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s**3 + 5*s**3 - 7*s - 72 + 67*s - 14*s**2 = 0. What is s?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.961612um in kilometers?\nAnswer: 0.000000002961612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -743 (base 10) to base 15.\nAnswer: -348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*y - 30*y - 31*y + 4*y**2 - 1440.\nAnswer: 4*y**2 - 2*y - 1440","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**3 - 4*o**2 - 5*o + 18. Let u be x(2). Solve -u*c + 12*c = -16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 2:14 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-3))\/((-8)\/(-48))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2457 and 65205?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*i - 1438 = -4753. Calculate the greatest common factor of 68 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, b: 1}. What is prob of sequence bl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 36*a**3*g**2*w - 7*a**3*w + 8*a**2*g*w - 5*g**2*w + 2*g wrt g.\nAnswer: 72*a**3*w - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -60949, -60946, -60941, -60934, -60925, -60914, -60901?\nAnswer: -60886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72448424, 289793696, 652035810, 1159174760, 1811210540?\nAnswer: 2608143144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-24)*a)\/(a\/((a\/((a*a**(-3\/4))\/a))\/a)))**(2\/49) assuming a is positive.\nAnswer: a**(-93\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -2*(0 + (sqrt(396) - (sqrt(396) + -1)) + -2 + 5))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 41 in -14, 3\/7, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -47 + 121. Suppose -w = 5*q - 6*q. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 3*y - 5. Let c be z(-13). Suppose 643 = 4*u + 3*h - 0*h, -148 = -u - 5*h. Let o = c + u. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 - 10*m + 17. Give h(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20768*4.\nAnswer: -83072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 15 = -5*v. Let j(o) = 13*o + 2. Let c(r) = -6*r - 1. Let b(y) = v*c(y) - 2*j(y). What is b(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27 - 7. Calculate the greatest common factor of c and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - -1 - 371\/(-53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 6*(-5 + sqrt(605)*-3))**2 - (-4 + (sqrt(605) - (sqrt(605) - (-1 + sqrt(605)))) - (4 + sqrt(605) + -1))**2.\nAnswer: 10296*sqrt(5) + 196632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of n**6\/480 - n**5\/96 + n**4\/48 - n**3\/3 + 2*n. Let w(j) be the second derivative of y(j). Factor w(s).\nAnswer: (s - 1)*(3*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 35647 = -3*a + 4*a, 3*a - 5*u - 106890 = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, -5, 4, 143272, 1 in decreasing order.\nAnswer: 143272, 4, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/2*(-106)\/530?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + k - 29 - 29, 0 = k + 2. Let r be (16\/l)\/((-4)\/6). Suppose -12670 = r*p + 5*p. What is p rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162435727 to the power of 1\/3, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f. Let q be 2 + (-52)\/20 - 12\/30. Let g(t) = -2*t. What is q*g(s) - 3*b(s)?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -304965412*p**2 - 400597451*p wrt p.\nAnswer: -609930824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-5) + 368\/(-20). Let b be (0 - 4\/6)*a. Let f be (b\/105)\/(4\/10). What is the nearest to -1 in f, 0.5, 3\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -720 = 5*c + 4*j, 0 = c - 2*c - 2*j - 144. Let l = -34 - c. Let p = -54468 - -54512. Calculate the highest common factor of l and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67972?\nAnswer: 2, 16993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/8)\/((-2)\/(-8)). Let d(q) = -30 + q**3 + 46 + 5*q - 14 + 5*q**2. What is d(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 + -14. Let k(j) = j**2 + 4*j + 3. Let x be k(-4). Calculate the least common multiple of x + (3 - 2) + q and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/(m**(24\/13)*m)*m*m*m\/m**8*m**(-30)\/(m*((m\/(m*(m\/(m*m**(25\/2))*m*m)\/m*m)*m*m)\/m)\/m) assuming m is positive.\nAnswer: m**(-1257\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -241, -483, -729, -979, -1233, -1491, -1753?\n\"Answer: -2*z**2 - 236*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1706 by -38696.\nAnswer: 853\/19348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/10*-2*(-4)\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-104)\/130 + 0 + 394\/680 and 151\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2362 in 2, 25, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 947656.6m in kilometers?\nAnswer: 947.6566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -5*r + 85. Let u be b(17). Suppose -2*j = 3*j - 2*a - 40, 2*a = u. Round j to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 484 = -4*l, 2*p - 608 = -0*l + 5*l. Let b = 146 + l. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.5108 to 2 dps.\nAnswer: 1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -223*a. Let m(c) = -27*c**2. What is m(t(v))?\nAnswer: -1342683*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 5*d - d + 32 = 0, 0 = 2*g - 2*d - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -84*s**2 + 15*s - 13. Let o(m) = 42*m**2 - 7*m + 6. Let q(g) = 6*i(g) + 13*o(g). Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of 27\/4*z**4 - 5*z**3 + 0*z**2 + 0*z + 12. What is the third derivative of s(q) wrt q?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 49077 and 456?\nAnswer: 392616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {z: 1, w: 7, s: 4, a: 3, t: 2}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 + 4*n + 5. Suppose -3*l - 17 = -t, 0 = -4*t - 3*l + 15 - 7. Let r be k(t). Sort r, 3, -1 in increasing order.\nAnswer: -1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 20. Suppose 0 = -2*k - k - x. Suppose -95 = -19*v - 19. Let m(o) = -o**2 + 2*o - 3. Let n(g) = -g**2 + g - 2. Give k*n(u) + v*m(u).\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 1\/3, 0.01, 2\/7 in increasing order.\nAnswer: 0.01, 2\/7, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 42284964 to the power of 1\/2, to the nearest integer?\nAnswer: 6503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/72 - 19\/((-342)\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 21.4  (b) 2  (c) -0.5  (d) 4  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + -42cb?\nAnswer: -42c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -w - 10. Suppose -w*m - y + 125 = 4*y, 5*y + 15 = 0. Calculate the greatest common divisor of m and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609182969 to the power of 1\/2, to the nearest integer?\nAnswer: 24682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2984028 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22853, -91491, -205909, -366125, -572157?\nAnswer: -824023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 389906 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 25*a**2 + 24*a - 15. Let n be l(-19). Suppose n = 23*u - 18*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 5*x + 9, 3*k - 3*x - 12 = 3. Solve -8*w**2 - 14*w**2 + 19*w**2 + 3*w**4 - k*w + 3*w**3 - w = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 21 + 1 = 0. Let i be (-9)\/(-2) + -5 + 6\/t. Is -2\/245 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(2\/(84\/9)). Suppose -4*r + v = -3*h, 9 + 1 = 2*r. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22.94 - -0.06. Let z = 22.8 - n. Which is the closest to z?  (a) -0.2  (b) 3  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 - 3*s + 260. Let v be c(0). Let w = 263 - v. Let y be (-2)\/(2 + 0) - -3. Put 1, -5, w, y in increasing order.\nAnswer: -5, 1, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/156 and -55\/1196.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3284\/(-36) - (-8)\/36. Let m = -9 - -17. Is c\/(-3) + m\/(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -25, -86, -189, -334?\n\"Answer: -21*l**2 + 2*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (237\/(-24) - -8)*4\/80*4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x - 1. Let z(o) = -23*o - 6. Determine 6*v(m) - z(m).\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of 29*z**4\/24 - z**3\/6 + 3*z**2\/2 - 152. Let i(g) be the second derivative of w(g). Find the first derivative of i(k) wrt k.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 27 and -19.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 72 + -50. Suppose -14*d + j = -3*d. Let a(l) = -8*l + 15*l - 2*l**d - 7*l. Let v(x) = -72*x. What is v(a(t))?\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80231706?\nAnswer: 2, 3, 4457317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or 0.47?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-1 + sqrt(2448)*-4 + -2 + -2)*-1 + -3)**2.\nAnswer: -117516 - 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 5*y - 5*x, y + 3071*x + 4 = 3066*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 25*i + 21. Let a be l(13). Suppose -56 = -3*t + a. Is t a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34300240 (base 5) in base 9?\nAnswer: 516165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x**2 + 2256*x - 97539 = 0. Calculate x.\nAnswer: -793, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 119815459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 1512*n - 9280. Give i(6).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1229 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.90191 to three decimal places.\nAnswer: 0.902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 131323342?\nAnswer: 131323332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 208092 to the power of 1\/2, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*j - 3*j + 5 - 5 + 11*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-12))\/(2*(-1)\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5485 - -5512. Solve -5*z = 4*p - 21, 2*p - z - 4*z + i = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-1 + 5) - (1 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5436.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62137 is divided by 212.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 3*k - w - 10, -3*k + 14 = 4*w. Suppose 2*c - 3*s - 8 = s, 5*s = 2*c - 9. Let v(o) = 0 - c - k*o + 0*o. Give v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seventeen halves of a hour?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-1\/8))\/((g\/g**(-1\/2))\/g)*g**(-2\/21)\/(g*g**(1\/9)*g*g*g) assuming g is positive.\nAnswer: g**(-1931\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 3*h + 2*y, 4*h + 14 = -y - y. Which is the closest to -2?  (a) 2\/11  (b) h  (c) 0.4  (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + 16*c**2 + 19*c + 36. Let t be (-66)\/4 - 3\/(-2). Let k be h(t). Let w = -11 - k. Calculate the remainder when 51 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -4*g - 5. Let u be o(1). Does 26 divide (-1419)\/u - (-1)\/3*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/10 - 636\/10. Let o = m + 253\/4. Which is the closest to 0.1?  (a) -4  (b) o  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21, 72, 165, 258, 351, 444?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10668 and 109536.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14.1 - 13.6. Which is the third biggest value?  (a) -3  (b) 1  (c) w  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 527699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 516.657192 rounded to 1 dp?\nAnswer: 516.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) - -3*sqrt(99)*1)\/(sqrt(81) - (-2*sqrt(81) + sqrt(81)) - sqrt(81)))**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h - 2. Suppose 4*p + 347 = 5*r, 204 - 554 = -5*r + 5*p. Let c = -54 + r. Let v = c - 6. What is d(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.5, 2, -2 in descending order.\nAnswer: 3, 2, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 3*a**2 + 6*a - 1. What is the tens digit of f(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (20\/30)\/((-313)\/(-105) - 3). Let s = 74 - 28. Let z = s + o. What is the least common multiple of z and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.2058988 to two decimal places.\nAnswer: 15.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 + 23*k**2 + 19*k - 432. Let p be z(23). Let h(r) = -r**3 + r**2 + 1. Let x(v) = -3*v**3 + 2*v**2 - v + 5. Determine p*h(d) - x(d).\nAnswer: -2*d**3 + 3*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111 - 99 = 3*b. Solve 3*i - 5*m - 20 = 0, 4*i = -i - b*m - 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/4 of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 2\/17, -2\/5, 2\/3, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, n: 6}. Give prob of sequence hhh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -2*b**3 - b**2 + b + 2. Let g(c) = -c**3 + 1. Let x(z) = 13*g(z) - 6*n(z). Suppose -5*q + q = -16. Calculate x(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 - 8*j**2 + 14*j + 8. Let s be l(-9). Let h = -21 - s. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1023 - -1025. Solve -b*s + 25 = 5*w, 5*s = s - 3*w + 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 4*h. Let g(o) = h*o - 2*o + 5*o + 4 - 2. Determine g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2635 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 240 divided by -6.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 170591 divided by -5?\nAnswer: -170591\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -52885192 and 0.2.\nAnswer: -10577038.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5084*a - 37 = 5085*a - 4*n, -4*a = -3*n + 44 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 289 + -271. Suppose -306*y - t = -315*y. What is the third smallest value in -3, 1\/6, 0.09, y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/6*22950\/5355*104\/20?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -85 (base 11) to base 12\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3*f = 5*f - 3, -4*k - 4*f = -8. Let i = k - -7. Calculate the least common multiple of 2 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 23 - 21. Suppose -4*w + 2*a = 138, w = -3*a - n - 43. Let y = -19 - w. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*t = 54*t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1*1\/3*(0 - -18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -190.4 - -189.1. Which is the third biggest value?  (a) -7  (b) -3  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x and 1 d when four letters picked without replacement from {x: 12, d: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-750)\/(-2) - -2 - (9 + -17)\/(-8). Which is greater: z or 377?\nAnswer: 377","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -87, -271, -531, -855, -1231, -1647, -2091, -2551?\n\"Answer: 2*w**3 - 50*w**2 - 48*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -23*f - 6. Let k be l(6). List the prime factors of 0\/(-3 - -4) - k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 654843?\nAnswer: 3, 7, 31183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkjjkokokok.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1968*n**3 - 1012*n**3 - 945*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -52 and -0.125144?\nAnswer: 6.507488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p + 2*p + 18*p)*(32 + 7 - 7).\nAnswer: 736*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97.86713 centuries to years.\nAnswer: 9786.713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*i - 8*i - 10*i - 15*i - 14*i - 4*i**2.\nAnswer: -4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 144 divide 11373398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, -1\/2, 0.108, 1?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -11, 3, 2157933?\nAnswer: 2157933","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -9. Is h\/(-10) + (-70416)\/(-60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1663 is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**(-1\/21)\/a))\/((a**(-3)\/a)\/a))**21*(a**(-1\/3)\/a**(-4))\/((a*a**(1\/3)*a)\/a**(-2\/7)) assuming a is positive.\nAnswer: a**(3130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of 3245*n**3\/3 - 114*n - 2223. Differentiate d(a) wrt a.\nAnswer: 6490*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (18*g**2 - 2 - 25*g**2 + 10*g**2)*((-5 + 5 - 2)*(2*g - 8*g + 8*g) + 949 - 949 - 3*g) in the form p*g**3 + v*g + a*g**2 + h and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -876*w + 876. Let q be o(1). Which is the closest to 3\/8?  (a) 1.5  (b) q  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 20 = 0, -4*a - i - 2*i = 328. Sort -1, a, 1 in decreasing order.\nAnswer: 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 17.99  (b) 2  (c) 41815\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 2*j**4\/9 - 3496*j**3\/9 - 376046*j**2\/3 + 3408856*j\/9 - 2277224\/9 = 0.\nAnswer: -281, 1, 2, 2026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 minus 1.6621241865?\nAnswer: -129.6621241865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 33 + 13 + 0*p + 2*p.\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7 + (1 - (0 - 0)). Let n be (-2)\/y + (-10)\/56. Let f = -5 - -6. Which is the closest to 1?  (a) n  (b) -4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(95\/(-20) - -10)\/(9\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2388\/5 or 478?\nAnswer: 478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 191 and 52?\nAnswer: 9932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -348 - -282. What is the third biggest value in -0.4, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 PM and 5:42 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*p - 21 = -39 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -413*k = -352*k + 2135 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 321496, 321349, 321104, 320761, 320320, 319781, 319144?\nAnswer: 318409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 396481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 6*d = 0. Suppose d = 2*y - 4*r - 56, -2*y + 2*r + 0*r + 46 = 0. Let f(m) = -m**2 + 30*m + 7. Is f(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -83 and 0.67.\nAnswer: -55.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 4*z + z - 22 + 15. Let q be y(10). Suppose -2*n - 15 + q = 0. Solve 0 = 3*p - n - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 698661673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**2*o*w + 125*b**2*w + 2*b**2 + 3*b*o + 19*o - w wrt b?\nAnswer: 4*o*w + 250*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uyo when three letters picked without replacement from sossqsrssorryuro?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2280444119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1269315734 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 30 - 30)*(-6 + 6 + 2*k) + (-10 + 10 + 3*k)*(1 - 4 - 2) in the form y*k + x and give y.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26.5 - -26. Let h = 15 + -10. What is the closest to -1\/2 in y, h, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q + 2*q**2 - 13*q**3 - 3*q + 16*q**3 + 6*q to i + a*q**3 + f*q + u*q**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (2 + sqrt(320) - sqrt(5) - -1*sqrt(80)))**2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 5397478, 5397467, 5397450, 5397427, 5397398, 5397363?\n\"Answer: -3*g**2 - 2*g + 5397483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 - 4*d + 3. Suppose 4*k + 4*r = -4, -k + 0 = 3*r + 3. Suppose k = 5*a - 4 - 1, -3*x = -2*a - 13. Determine u(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h**2 + h + 4. Let f(m) = -m**2 + m - 4. Let d(v) = f(v) + z(v). Calculate d(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1593*k**3 + 1370*k**3 - 2645*k**3.\nAnswer: 318*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01577611 to four dps.\nAnswer: 0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (81*o**2 - 22*o**2 - 7*o**2)*(-76*o**2 + 180*o**2 - 276*o**2).\nAnswer: -8944*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2 + 2*x**4 + 17*x**4 + 17*x**4 - 59*x**4 + (-2 - x + 2)*(-x**2 + x**2 - x**3) to q*x + w*x**3 + r*x**4 + t*x**2 + m and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 77 and 30976?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -5*o**2 + o. Let b be y(1). Let w be b*(-1 - 2 - -2). Let q(v) = v**2 - 13*v - 6273. Let c be q(-73). What is the closest to c in 0.3, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2319115 plus 209059?\nAnswer: 2528174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/6)\/(((-136)\/544)\/((-2)\/(-292))).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4009 is divided by 1279?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (924\/(-4))\/((-18315)\/1110)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.84 + 0.34. Let n = -64 + 196\/3. Sort -1, w, n in increasing order.\nAnswer: -1, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11218 and 3653092.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1847 + 417. What are the prime factors of t?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32311 (base 4) to base 8\nAnswer: -1665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 + -6. Let t be 15\/l - 11\/(-4). What is the greatest common divisor of t and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + 4*y + 3. Let q = -23 - -28. What is f(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(234))\/(sqrt(24)\/(sqrt(48)\/sqrt(4))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuucuc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 159*l**2*s*z - 2*l**2*s + 11*l**2*z - 3*l*s*z - l*s + 8*l*z - 44*z wrt l?\nAnswer: 318*s*z - 4*s + 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, w: 8, z: 4, c: 1, p: 1}. What is prob of sequence uwpu?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llqlqllllpqllll. What is prob of picking 4 l?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 a when three letters picked without replacement from {k: 2, a: 2, w: 1, m: 3, l: 4, d: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -2*u**3 - 4*u**2 - 2*u - 2. Let k be x(-4). What is the highest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 746 (base 8) to base 7\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 61, 151, 283?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 137045554 and -0.4?\nAnswer: -54818221.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 398 + -393. Which is the second smallest value?  (a) f  (b) 4  (c) -2\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 + 103*h - 1889. Give g(79).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/(d*d\/(((d**(4\/37)\/d)\/d)\/d*d*d))*d*((d\/(d*d*d*d*d\/d**(-29)))\/d*d)\/d*d*d)\/(d\/((d**(-2\/33)\/d)\/d*d*d))**(-49) assuming d is positive.\nAnswer: d**(24515\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 4 = 2*w. Suppose 0*z + w*z - 1740 = 0. Round z to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j - 10. Let p(k) = -2*k - 33. Let c(r) = p(r) - 3*s(r). Suppose 0 = 3*w + 4 + 11. Let u = -6 - w. Let g(f) = f. Calculate u*c(x) + 3*g(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 762 - 752. Solve -5*o = 6*w - c*w + 35, -3*o + w - 14 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8190.563 hours in minutes?\nAnswer: 491433.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (1 + 1 + 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of q**7\/70 + 7*q**6\/50 - 21*q**5\/50 - 11*q**4\/5 + 4*q**3 + 96*q**2\/5 - 2430*q. Solve u(y) = 0.\nAnswer: -8, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 33.3 + -33. Let w = -75 + 76. Which is the closest to u?  (a) 3\/5  (b) -2\/11  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {n: 1, m: 1, t: 11, x: 1, g: 4}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 - 64*i**2 - 47*i + 18. Let g be o(-1). Factor -14\/9*z - 4\/3 + 10\/9*z**g.\nAnswer: 2*(z - 2)*(5*z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**4 - 2*w**4 - w**4)*(-3 + 7 - 2)*(-11 + 5 - 13) - w**4 + w**3 - w**3 + 3*w**4 - 3*w**4 - 2*w**4 + (-4 + w**4 + 4)*(2 - 2 - 2).\nAnswer: 33*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 12 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**8)\/(j\/(j\/(j**(-5\/8)\/j))) assuming j is positive.\nAnswer: j**(-43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4563267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 3*a + 5. Let y(d) = -d - 1. Let i(b) = x(b) + 4*y(b). Let u be i(1). Let r = -0.1 + 0.2. What is the closest to u in -3, r, -4\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-32)\/(-56) + 10\/7. Solve 3*m + 5*u + 11 = -2, -u = b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 + 309*b**2 + 23569*b - 3999. Calculate s(-138).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u - 4 + 5 + 1)*(4 - 4 + 2) + (25 + 26 - 12)*(-3*u - 2*u + 7*u) + u + 0*u + 0*u.\nAnswer: 77*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 2, h: 1, q: 1, l: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/(y*y**(-2\/17))))\/(y**(-1\/6)*y) assuming y is positive.\nAnswer: y**(5\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 184*k = 79*k + 81*k + 134400. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13936025 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 1 + -9 + 9 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 2*u**2 + 6*u + 10. Let p be 3*1*(-15)\/9. Is 11 a factor of i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1487 = -p - 5*r, -8*p - 6023 = -4*p + 5*r. Let h(z) = -253*z - 3. Let x be h(4). Let y = x - p. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**2 + 10*f + 2. Let i be j(-7). Suppose -r = r - i. Suppose -x + 8 = 2*q - 5*q, 2*x - 5*q = r. Solve -x*c + 4 = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1081976 to the nearest one thousand.\nAnswer: 1082000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/4))**(-1\/4)\/(l**0\/l)**(-22)*(l\/(l**(1\/4)*l))\/(l**6\/l)*l**6\/(l**(1\/7)*l) assuming l is positive.\nAnswer: l**(-2515\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 668 times 0.4\nAnswer: 267.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 54975*g + 110641*g - 54631*g to z + u*g and give u.\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 21*j. Let f(m) = 2 - 24*m - 33*m - 34*m + 51*m. Give t(f(q)).\nAnswer: -840*q + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4191693.\nAnswer: 3, 11, 37, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -2, -4\/3, 0.5, -0.472?\nAnswer: -0.472","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 27960 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 3\/496  (c) -0.1  (d) -0.5  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*f**2*m**3 + 2*f**2*m**2 + 5*f**2*m - 2885*f**2 + 6*f*m**3 + 5*f + 30315*m**3 + m**2 - m wrt f.\nAnswer: 18*m**3 + 4*m**2 + 10*m - 5770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*n**3 - 2244252*n**2 - 116709216*n - 1517254960 = 0. What is n?\nAnswer: -26, 561115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 269 is divided by 212?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9510 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u + 39. What are the prime factors of c(0)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22026134 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 AM and 7:28 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 14389 = 14389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of 0*h**3 + 0*h**7 + 0 + 0*h - h**2 + 1\/168*h**8 + 0*h**4 - 1\/20*h**5 + 0*h**6. What is the third derivative of n(j) wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -9*q**2 - 7*q**2 - 1 - 1 + 11*q - q**3 + 4*q**2. Let i be a(-13). Let h = i - 25. Is h less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7\/9 - (-6)\/27. Let q(p) = 2*p**2 + 55*p - 69. Let z be q(-29). Let h be 27\/z*2\/t. Sort -3, h, 4 in descending order.\nAnswer: 4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 4*r = -14, 3 = 2*w - w + r. Let v be ((-1 + w)*-23)\/((-3)\/(-18)). Calculate the greatest common factor of v and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/l**(-1))**6\/(l**(-2\/15)\/(l**(-3)*l*l)))\/((l**(-2\/3))**(-48)\/(l**(-1)\/(l\/(l*l**(-6)*l)*l*l))) assuming l is positive.\nAnswer: l**(-343\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 412 divide 1480814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 702 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of -t**4\/24 - 8*t**3\/3 + 3*t**2\/2 - t. Let i(g) be the first derivative of a(g). Let n be i(-7). Round n to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 - 8*s + 6. What is the remainder when y(9) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/5250 and 37\/220215?\nAnswer: 77075250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26.9 - -27. Which is the biggest value?  (a) 2\/45  (b) f  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 4*g - 13. Suppose -7*v - 5*m - 15 = -2*v, -4*v - 5*m - g = 0. Let l be (-2)\/5 + 51\/15. Which is the second biggest value?  (a) v  (b) l  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -71, -118, -175, -248, -343, -466, -623, -820?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -905.5 * -0.06.\nAnswer: 54.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -182 = 5*z - 197. Let b(r) = r**2 + r. Let v(y) be the first derivative of -y**4\/4 - y**3\/3 - 3*y**2\/2 - y + 3. Give z*b(q) + v(q).\nAnswer: -q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 + 12*d**2 - 33*d + 34. Let m be l(-12). Let j = 869\/2 - m. Factor 0 + j*g**3 - 3*g**4 + 0*g + 3*g**2.\nAnswer: -3*g**2*(g - 2)*(2*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 15466 and -0.4?\nAnswer: -6186.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3852\/39376*(-7)\/((-378)\/(-12))?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 865280\/159 - 5442. What is the third smallest value in 0, 3, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -81.1208267 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 1735108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 + 6*s + 5. Let z = 9 + -4. Let u be o(z). Let n be (8\/u)\/(8\/20). Solve -4*c - 12 - 2 = n*r, -c = -3*r + 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -644131702*s**3 - 780527497.\nAnswer: -1932395106*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3269029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 0*u - 8 = 0. Let m(l) be the third derivative of l**4\/3 + l**3\/6 - 51*l**2. Is 7 a factor of m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -308, -498, -688, -878, -1068?\n\"Answer: -190*b - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 8*f - 3. Suppose 5*m = 6 + 4. Suppose -m*r - 15 = -5*r. What is the remainder when t(r) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 AM and 10:01 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 9\/8*j**2 + 46*j + 15 - 5\/8*j**3 - 1\/80*j**5 + 7\/48*j**4. Let s(d) be the first derivative of h(d). Solve s(q) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*p + 30. Let u(i) = -i - 2. Let o be u(-4). Solve 0 = -5*q + 15, -l + o*q = p*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from rgrg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 7978529\nAnswer: 2\/7978529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.974 + -0.036. Let p = -0.01 - m. Is p != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*a - 5*n, -1 = a - 3*n - 3. Suppose 3*z**a + 45*z - 3 - 45*z = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-3)*(-24)\/48*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 17*t**2 - 8. Calculate s(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -8  (b) 1\/17  (c) 1  (d) -8158  (e) 4  (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -5*x**3 + 6*x**2. Let p(y) = -6*y**3 + 7*y**2. Give -7*j(r) + 6*p(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -62523*v**3 - 2 + 2 + 62518*v**3 + 15*v**2 - 344*v wrt v?\nAnswer: -30*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-12) + 2124415\/141. Let i = 15068 - p. Find the common denominator of -56\/9 and i.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) -1\/5  (b) -3  (c) -2\/7  (d) -81949\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j = -2501 - 151. What is the common denominator of -22*(-25)\/j + (-8)\/12 and 85\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + -3. Let z(j) = -5*j - 27. Let k be z(-6). Find the third derivative of a*d**6 - 2*d**6 - 13*d**2 - k*d**6 wrt d.\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 2*o, 0 = -j - 5*o + 8. Let v be (-3)\/12 + 2\/8. Suppose v = -2*t + 16 + j. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 1530*b. Let a(k) be the first derivative of -3*k**2\/2 + 3177. Calculate g(a(o)).\nAnswer: -4590*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*j - 39 = -27 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2119*v - 208420 + 55852 for v.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p\/(p*p*p**(-18)*p*p)*p)\/p)**(-2\/15)\/(p**(2\/75)\/((p**21*p)\/p*p)))**(16\/5) assuming p is positive.\nAnswer: p**(7936\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9964 and 276172.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5535 or 5550?\nAnswer: 5535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 9\/2. Which is the second smallest value?  (a) v  (b) 2\/5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2010 and 603.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.23 - 0.61. Let o = -0.02 + h. Let f be 8\/(-276)*6\/2. Which is the closest to 0?  (a) 2  (b) f  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 58740?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*d**3 - 6 - 16*d**2 + 11 - 2 - 2 - 12*d**2 as f*d**3 + l*d**2 + m*d + k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 AM and 7:57 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -141 equal to 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 69 = -2*n, -4*z - 78 = -7*n + 4*n. Let m be (1 - 374\/300) + 5\/n. Let h = 2\/17 + -25\/68. What is the nearest to h in m, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -9. Suppose 4*u - 2*u - 19 = -3*q, 0 = 2*u - r. Let p = 4 + q. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -400?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j + 76. Suppose -6*a = -4*a + 2*k + 6, a = -5*k + 5. Let i be (a - -3) + 1 + 1. Let q be y(i). What is the highest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*8*-1 + 2575\/3090*142\/15.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5751*f**5 - 436*f + 1266*f + 3087*f wrt f?\nAnswer: -115020*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/12 + 111*11\/(-4950). What is the third smallest value in -0.2, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 9 - 15)*(14*c**4 - 110 + 110).\nAnswer: -406*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 507290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 2*q - 14 = -2*v, 3 = 3*q. Sort -4, -2, v, 5 in ascending order.\nAnswer: -4, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.5  (b) -2  (c) -5  (d) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k**2\/10 - 152379*k\/5 - 23219359641\/10 = 0.\nAnswer: -152379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (38\/(-52))\/19*1*3*-4.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o + 29 - 5 = 0. Which is the nearest to -1\/2?  (a) 2  (b) 38  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the third derivative of i**8\/1680 + i**7\/150 - i**6\/300 - 23*i**5\/150 + 13*i**4\/24 - 5*i**3\/6 + 6*i**2. Factor r(x).\nAnswer: (x - 1)**3*(x + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.879 + 2.121. Let q be (24\/28)\/((-3)\/(-14)). Let f be 10\/(-18) - q\/(-18). Which is the nearest to 1?  (a) d  (b) f  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3.290771 litres?\nAnswer: 3290.771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + (-31 - (-29 - -12)) + 20.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 7:29 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 + -11. Let b = -1 - -1. Suppose -14 = -p - b*p. Calculate the smallest common multiple of p and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 7. Suppose 4*d - 8 = -5*q, -u*q + 5*d - 8 = d. Sort -2, q, 3 in decreasing order.\nAnswer: 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 833*n - 12. Let m(w) = -1909240*w + 27506. What is -13753*d(s) - 6*m(s)?\nAnswer: -809*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -7*b**3 - 19*b**2 - 9*b - 10. Let m(h) = -3*h**3 - 9*h**2 - 5*h - 5. Let s(d) = -5*m(d) + 2*u(d). Let v = 58 + -50. Suppose -v = 9*l + 46. Give s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**3 - 2*q**2 - 5*q - 4. Let t be k(-1). Solve -d = -t + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -3*q**4 - 2136870*q**3 - 380507098575*q**2 + 3805231252500*q - 9513211687500 = 0?\nAnswer: -356150, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -11*n - 1 + 2*n + 5*n + 3*n - n**2 - 28*n**3. Let a(s) = 56*s**3 + 2*s**2 + 3*s + 2. Let x(t) = -2*a(t) - 5*v(t). What is the units digit of x(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 153bb - -4?\nAnswer: 153c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 1521*i - 1520*i + 140169, 5*i + 140185 = 5*x. What are the prime factors of x?\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y**2 - 2*y + 4. Let m be f(-4). Let v be (0 + 0)\/(m + 17). Solve 5*l + v*l = 4*r, -5*l - r - 25 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 7. Let u(i) be the second derivative of -i**5\/20 - i**4\/3 + 4*i**3\/3 - 2*i**2 + 3*i. Let n be u(s). Solve 5*d = -n + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/3)\/i)**(-1\/10)*i**(1\/6)\/i*i*i**(-2\/5)\/i*i*i)\/(i**(-3\/2)\/(i\/(i\/i**0)))**(13\/3) assuming i is positive.\nAnswer: i**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 2*q - 4 - 1, 4*x - 4*q = -20. Let t(m) be the third derivative of -m**2 + 0*m + 3 + 1\/60*m**5 + 0*m**4 + 1\/2*m**3. What is t(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*b + 20*b + 9. Suppose b*n - 7*n - 2*z = -230, -3*n + 2*z = -162. What is the lowest common multiple of n and 49?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 53496334519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*i**5 - 509268*i**4 + 21611806095*i**3 + 86452826406*i**2 + 108068197440*i + 43227686400 = 0. Calculate i.\nAnswer: -2, -1, 84880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -439, -16, 2 in increasing order.\nAnswer: -439, -16, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hvhhhhvhhhh. Give prob of sequence hhv.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -48*f**2 - 143*f + 4. Calculate y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 4*z - 35432, 5*f + 9*z = 5*z + 44291. What are the prime factors of f?\nAnswer: 3, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 644.\nAnswer: 5\/644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) 3  (c) 0.3  (d) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + 13. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 3)*(2*b**2 - 5*b**4 - 2*b**2).\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -2*b**2 + 253*b + 14224. What is x(-42)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13803 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 17*h + 136. Let a be v(-8). Suppose 2*r = 36*w - 37*w + 253, a = 2*r - 4*w - 228. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*a**3*n + 3169*a**3*w - 6*a**3 - 6*a**2 - 5*a*n*w**2 - n*w + 6*n wrt w.\nAnswer: 3169*a**3 - 10*a*n*w - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 303*j**3 - j. Let n be g(-1). Suppose 3*s - 2*s = 5, -4*f - 2*s - 30 = 0. What is the tens digit of n\/(-18) + f\/(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 14*d. Let i(u) = -1131*u. Calculate i(s(f)).\nAnswer: -15834*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 165?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*f - 3424 = 14*f. Let q = f + -597. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22193 - 5979 = 663*k - 16936 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (-2414)\/497 + ((-24)\/21 - -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 672 and 156?\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 374 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 8\/7 of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 2 = 0, -4*w + 2*v + 291 = -205. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -388 - -481. What is the greatest common divisor of 93 and w?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-4 - -2) - -67. Is 3 a factor of (-2)\/4 + j\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*d + 6*d**5 + 5*d - 2*d + (d + 0*d + 2*d)*(341*d + 151*d**4 - 341*d).\nAnswer: 459*d**5 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20.08 + 19.78. Let m = -2.9 - -3.6. What is the closest to -1 in m, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -2\/13, 11, -3390, -19?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(405) + (sqrt(405) + 1)**2 + -2 - (4*sqrt(405) + 5)).\nAnswer: -18*sqrt(5) + 798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 737875618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-4)\/((-20)\/183) + 12\/(-20) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**5\/3 + 2*z**4\/3 - z**3\/3.\nAnswer: -z**3*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1336124352 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.03 - -0.07. Which is the closest to g?  (a) 2\/3  (b) 1\/5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -33927, -33904, -33849, -33744, -33571, -33312?\n\"Answer: 3*p**3 - 2*p**2 + 8*p - 33936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000111524 rounded to 7 dps?\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 23*s - 1272. What is k(55)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -248 - -386. Suppose -4*p - 3*n + 2478 = -4365, -n - 5116 = -3*p. Suppose f = 9*c - p. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9195250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31666167 by 1172821.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6538304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 828 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13758 - 13740. What is the highest common divisor of h and 8946?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 452*d - 465*d + 221. Calculate the remainder when 966 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -p**2 - 891*p - 159068 = 0.\nAnswer: -644, -247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iehe when four letters picked without replacement from {h: 1, e: 4, i: 5, l: 6}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*q**6 + q**5 + 1730*q**4 + 6*q**2 + 2*q + 6507.\nAnswer: -240*q**3 + 60*q**2 + 41520*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - 3\/(-2))*-468. What is f rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 423878 and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 935 and 450109.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 4) + (-2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-58)\/(-232) - (-13)\/(-4). Let l(r) = -9*r**2 - 3*r. Let a(w) = -80*w**2 - 28*w. Determine b*a(m) + 28*l(m).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 19*m**2 + 43*m - 21. Give l(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 + u**2 - u. Let d(r) = -6*r**3 + 13*r**2 + 4*r - 6. Let l(m) = 5*c(m) - d(m). Calculate l(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6030 = -272*f - 10638 + 4428 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21874 and 4626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34\/7)\/(10\/70)*37\/(-74).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 3:09 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2058 - 2053. Solve 3*u - 4*q - 10 = 0, 3*u - v*q = 1 + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157 + 13 = -2*i. Suppose -k - 1 = 4*h - 12, 4*k + 2*h - i = 0. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21559412*-2.\nAnswer: -43118824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -435 + 435.07. Let h = -0.07 - t. Which is the closest to -0.1?  (a) -2  (b) h  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 173\/10 in 1\/2, 3\/8, 1, 3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*n*r**3 - 81*n*r**2 + 562*n*r - 2*n - 5*r**3 + 23*r**2 + 602*r wrt n.\nAnswer: -2*r**3 - 81*r**2 + 562*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 4*y**5 + 68*y**4 + 200*y**3 - 152*y**2 - 588*y + 468 = 0.\nAnswer: -13, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 11:32 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1481 + -856. Let q = i - 621. Factor -4\/3 + 4*t**4 - q*t - 8\/3*t**2 + 4\/3*t**5 + 8\/3*t**3.\nAnswer: 4*(t - 1)*(t + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -11*d + 76. Let u(w) = 6*w - 35. Determine 4*b(j) + 7*u(j).\nAnswer: -2*j + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.18 + -198.3824190293?\nAnswer: -198.2024190293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-8))\/3*1144\/143.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 3. Let x = -7 + 12. Let v = 1\/48 - 3\/16. Which is the nearest to l?  (a) x  (b) 4  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of 7*w**2 + 0*w - 1\/30*w**5 + 0*w**4 + 0 + 0*w**3. Let f(b) = b - 3*b + 4*b + 2*b. Calculate q(f(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(-54)*16\/(-400)*15.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 124643231 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from marasvu. What is prob of picking 1 a, 1 v, 1 r, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -6*w + 2. List the prime factors of h(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + z - 9 = 0. Let i(y) = -3 + z - 1 - y. Does 15 divide i(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -18147 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 times -0.086119?\nAnswer: 0.00516714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of -w**5\/20 + w**4\/12 - w**3\/6 + 15*w**2\/2 - 9*w. What are the prime factors of a(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2467, 2595, 2713, 2815, 2895, 2947, 2965?\n\"Answer: -j**3 + j**2 + 132*j + 2335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, -45, -121, -197, -273, -349?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 53989?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of -33\/100*t**5 - 1\/50*t**6 - 27\/20*t**4 - 5\/2*t**3 + 4*t - 12\/5*t**2 + 21. Suppose m(r) = 0. Calculate r.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*i + 19*i - 56 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -67 at least as big as 5385\/3157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(3168)*-1 - sqrt(3168)) + sqrt(22) - sqrt(22))*2)\/(sqrt(6)\/(sqrt(21)\/sqrt(7)*-2)*3).\nAnswer: -192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 8 = 5*a + 5 - 4, 2*a + 5*f + 4 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 3*a = 60. Let i(o) = -o**2 + 8*o - 11. Let v be i(5). What is the highest common divisor of v and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.62 + 0.12. Let d = 3 + -10. Let g = 8 + d. Which is the biggest value?  (a) g  (b) 3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 520\/(-585)*9 + (-62)\/(-6) + 0\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 5*d - 14, -10*z + 2 = 2*d - 8*z. Suppose 5*m + x - 17 = 3, 2*x = d*m - 8. Which is smaller: 3 or m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 9:04 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -139*u**2 - 11*u + 5. Let t(r) = 70*r**2 + 6*r - 3. What is 4*n(y) + 7*t(y)?\nAnswer: -66*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4371 - -1110231\/254. Let w = 3607\/4318 + p. Factor w*o + 0 + 2\/17*o**2.\nAnswer: 2*o*(o + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(-9)*(-2 + -13). Let w = -3 + k. Suppose 0 = 2*t + w*h - 8, 4*t - h = 6 - 0. Solve t*z - 13 = -f, 2*z = -2 + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.5 - 2. Let l = 2460 + -2461. What is the second smallest value in l, 0.18, w?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 5*a - 2, -18 = -3*r + a - 4*a. Suppose 5*q + 3*k - 178 = r*q, 4*k = 4*q - 712. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (4 + sqrt(2736) + (sqrt(2736) - (1 + sqrt(2736))*4) + 4 + 5 + -1)*5)**2.\nAnswer: -9600*sqrt(19) + 275200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1554641 is divided by 5496.\nAnswer: 4769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 384*v - 802*v - v**4 + 3*v**3 + 417*v + 2 in the form b*v + d*v**4 + r*v**2 + i*v**3 + t and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12932025 divided by 2.\nAnswer: 12932025\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*k*l**3 - 2*k*l**2 - 6*k*l + 3*k - 4*l**3 wrt l?\nAnswer: 72*k*l - 4*k - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*j + 40*j = -12. Let w = 5.2904 + -0.2904. Which is the fourth smallest value?  (a) w  (b) -3  (c) j  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 311948489 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 6*s**2 + 109*s - 83. Let d be p(-19). Solve 9*i - 8*i + 4*h - 10 = 0, -3*i - d = -2*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -1\/4, -5, 0, -0.1 in decreasing order.\nAnswer: 11, 0, -0.1, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o - 3*o = 420. Let x(l) = 84*l**3 + 35*l**2 + 35. Let f(i) = 7*i**3 + 3*i**2 + 3. Calculate o*f(t) - 6*x(t).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19 (base 15) to base 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 11:42 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -197, -363, -529, -695, -861?\n\"Answer: -166*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 92.44659 millilitres?\nAnswer: 0.09244659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*b - 206 + 834 = -632 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 = 8*o - 165. What is the smallest common multiple of o and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3938, -16321, -36950, -65849, -103042, -148553, -202406, -264625?\nAnswer: -335234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(1584) + (2 + sqrt(1584))**2 + sqrt(1584) + 5 + 5).\nAnswer: -6392 - 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -4720*h - 1577*h + 595*h - 9974*h + 1235*h as k*h + a and give k.\nAnswer: -14441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**2 - 3*m**2 - m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -203.519964 minus 97695?\nAnswer: -97898.519964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 - -24. Let z be (4 + -1 + t)\/1. Suppose 4*o = z + 5, -9 = -2*b - o. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 821  (b) -4  (c) 319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 317473302?\nAnswer: 2, 3, 52912217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1133873983 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -268 + 136. Let d = -127 - k. Suppose -3*a - 5 = -y - 6*a, 0 = 5*y - d*a - 85. Calculate the highest common divisor of 126 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30.1224 * -0.23\nAnswer: 6.928152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*n**3 - 21 - 8*n**3 - n + 15 as v*n**2 + p*n**3 + f + c*n and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 212 = 4*t + 2*j, 2*t - 124 = 4*j. Suppose -4*x + 2*s + 130 = 0, 5*s - 5 = -2*x + t. Let r = -30 + x. Solve -r*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1426264*j**5 - 122*j**2 - 635562760*j wrt j.\nAnswer: 28525280*j**3 - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/187031 and 55\/122.\nAnswer: 22817782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from giigg. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 3*c**2 + 5*c - 19. Let b(a) = -5*a**2 - 4*a + 17. Calculate -5*b(m) - 4*s(m).\nAnswer: 13*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -20*v + 1. What is the remainder when m(-2) is divided by -2 - 22\/(-9) - 17780\/(-1143)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 791 or 746?\nAnswer: 746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 89 + -8 - (1 - (4 + -15 + 1)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2*t - 11. Let h(i) = 3*i - 10. Suppose 4*y - 4*z - 7 = y, -2*z = 8. Let a(w) = y*h(w) + 2*o(w). What is the units digit of a(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*z**2 - 23501*z + 11665*z + 11836*z.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0599208 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(704) + -1 + 3 + ((sqrt(275) - (sqrt(275) + -1 + sqrt(275) + 0)) + 3 + sqrt(275) + -1)**2.\nAnswer: 11 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -301*h**3 - 2*h**2 - 4*h**2 + 318*h**3 + 6*h**2.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83 = 9*a + 38 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 95.91036 nanograms in grams?\nAnswer: 0.00000009591036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -2\/5  (b) 1  (c) 6.13  (d) -3  (e) 11\/4  (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 51078110 a multiple of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 10\/13  (c) 3\/4  (d) 1  (e) 4507  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1513277 (base 8) to base 11\nAnswer: -275472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.009308 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 386614994 to the power of 1\/3, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3 - 2 - 8*l**2 + 11*l**2 - l. Calculate h(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + 0. Suppose 2*c - c - 102 = 3*y, 436 = n*c + 2*y. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/3, 4, -0.5, -20\/9, 1.5, -3\/14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 - 5*r + 18. Let s be w(-7). Let i be 18\/(-15)*20\/(-6). Suppose -i*u = -o + 25, -5*u + 5*o = 4 + 46. Sort u, -1\/3, s.\nAnswer: u, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 11*b**2. Let m(h) = -4*h**2. Let d(k) = -17*m(k) - 6*s(k). Let f(y) = -3*y. Calculate d(f(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 + 11 + 3 - 13. Let y(f) = -f**3 + 4*f**2 - 2. Give -5*k(s) - y(s).\nAnswer: s**3 + s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 8 = -3*l, 4 = i + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 26*z**2 - 24*z + 59. Is w(26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, n: 17}. What is prob of sequence nne?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, d: 1, m: 2, e: 2}. Give prob of sequence dmme.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*v**2 - 7*v**2 - 14*v**2 - 22*v**2.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 6. Let s(l) = -17. Let j(d) = 104. Let q(m) = -j(m) - 6*s(m). Let h(w) = -5*w + 22. Let t(r) = a*h(r) + 22*q(r). Let u(k) = -k. What is u(t(b))?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4*q = -1 + 3, -5*q - 6 = 2*t. Solve -5*b + t*b = -2*i - 3, -5*b + 4*i = -7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001272225211 rounded to 7 dps?\nAnswer: -0.0012722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 120812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**2 + i + 9. Let x be z(-3). Let v be (x\/(-1))\/(-4 + 135\/35). Let j = -41\/2 - v. Which is the nearest to j?  (a) 5  (b) -3  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = 4*t - 5*p, 3*t - 3*p = t + 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (44 + -18) - -47?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 5804.962881 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 56730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 4082788.\nAnswer: 36745092","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 5:59 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1984, 3963, 5940, 7915?\nAnswer: 9888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.4 + 5. Let o = 50.6 + -50.58. Let x = -4083\/14315 + -1\/2045. Which is the closest to x?  (a) o  (b) 1\/7  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20071 - -21466. Calculate the smallest common multiple of 496 and t.\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, 7, -3\/4, 2 in increasing order.\nAnswer: -3\/4, 2\/13, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 - 7*i**2 - 7*i + 83. Determine y(8).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 37543905331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -4*f + 11*f. Let t(w) = 4 + f*w - 2 + 2 + 8*w**2. What is the units digit of t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -5*n**2 + 352*n + 932. Calculate f(73).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 234*j - 1781*j + 509*j - 7977 = 1621*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-11)*(w*w**(-3)*w*w)\/w*(w\/(w*(w*w\/w**0*w*w)\/w)*w*w)**(3\/13))**(-1))**(-19\/5) assuming w is positive.\nAnswer: w**(-3021\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/(-8)*4 - -4) + 2. Which is the third smallest value?  (a) 0.5  (b) 2\/7  (c) -0.1  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/21*-8*6\/32\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 2, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 11968  (b) 1\/6  (c) 4  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + b = 2481, 5*k - 5*b - 4878 - 1362 = 0. What are the prime factors of k?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence inyn when four letters picked without replacement from iyinnnymiiniinninn.\nAnswer: 49\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 8:57 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -3*i + 24, -43*i + 4*a = -39*i - 12. Solve 3*l + 3*l = -i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 0*p = p + 13, -p - 7 = -2*i. Let n be 0 + (-3)\/(0 - i). Is 2 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 209\/15494220 and 31\/3615318.\nAnswer: 108459540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (183\/(-366))\/((21\/2)\/(-3)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 38 - 1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -30, 12232 = -4*j - 4*x - 22460. Do j and -8666 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 10*t**2 + 3*t - 5. Let v be 10\/(-2*(-3 + 4)\/1). Let c(x) = -20*x**2 - 6*x + 9. Let l(r) = v*f(r) - 3*c(r). Is l(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*s - 75411 = -73771 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, k: 7, t: 4}. What is prob of picking 1 t, 2 n, and 1 k?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5\/6  (b) 2  (c) 0.18  (d) -0.101  (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000000101000011 + -100?\nAnswer: -1000000101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 64 and 2824.\nAnswer: 22592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h + 19. Let j = -264183 - -264174. Let w(i) = 4 - 2*i + 5 + 3*i. Determine j*w(y) + 4*k(y).\nAnswer: -y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 35\/1186 + -3037\/22534. Which is the biggest value?  (a) o  (b) 0.336  (c) -0.3  (d) 0.3  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8797 - 8780. Suppose 185 = 3*o - 373. Calculate the remainder when o is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -228*n = -218*n + 50 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 11*y - 36 - 10*y**2 + 15*y**3 + 22 - 14*y**3. Let q be r(9). Solve -2*k = -q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-108))\/((-16)\/360).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 2 + 12 + (161 + -307 - -145).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005606606 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 195 and 34.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 10 - 21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -4*q + 117. Suppose -5*z = -q + 12. Calculate the remainder when 1456\/28 - (-1)\/(z\/(-6)) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2569 at most as big as -2569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 416*i**2 + 6*i + 7. Suppose 0 = -4*d - 8, y = -d - 2*d - 9. Let h be c(y). Let r = h - 1316. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 10 = m, 4*i = 5*m + 3*i + 94. Calculate the remainder when 28 is divided by (-3 - m)\/((-3)\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/8 and 33\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 3432 = -5*k, -5*k + 0*w - 3*w + 3408 = 0. Suppose -2*g - t + k = -3*t, -3*t = g - 322. Suppose -4*v + g = -87. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7373\/1624 - -1\/609. What is the common denominator of d and 5 + -1*(-27)\/18 + 260\/(-33)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*f + 131. Let r = f - 19. What is the greatest common factor of 30 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16.81 + 0.19. Let s = l + -19. Which is the smallest value?  (a) 0.4  (b) s  (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 174*l - 2. Let s be y(2). Suppose -3*t = -x + 241, -t + 157 + s = 2*x. Suppose 4*q - 9*q + x = 0. Does 25 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 - 5 + (-1 + 2 + 0)*(-2 + 3 + 0) - 1 + 0 - 1 - 1 + 1 + 1)*(-l + 0 + 0).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 42259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 46601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36 - -35.8. Which is the closest to y?  (a) 0.5  (b) 4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5076 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20168*y**3 - 55*y**2 - 4*y - 480833787?\nAnswer: -60504*y**2 - 110*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1418741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3387068359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**2 - 4*j - 13. Let l(a) = 2*a**2 - 3*a - 12. Give 4*l(h) - 3*q(h).\nAnswer: 2*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12207 or 12221?\nAnswer: 12207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3\/3 - 4)\/(-1). Let i(o) = -3*o**2 + 7*o + 1 - 3*o - o**q + 4*o**2. Give i(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*(g**(-2\/3)\/g)\/g)**(-15)\/(g**0*g\/(g*g*g**(-5)*g)*g))**(-2\/33) assuming g is positive.\nAnswer: g**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 21 = -2*s. Suppose -s = -0*y - 7*y. Let k be 3 + 1*2 + y + 11. What is the highest common factor of k and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 49 - 2*p - 83 + 34. Let h(j) = 5*j. Let l(i) = 14*i. Let z(b) = -8*h(b) + 3*l(b). Calculate m(z(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/8)\/((-1)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = 3*l - m - 16, 4*l - 146 - 746 = -159*m - 60*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/135 and (((-64)\/18)\/4)\/((-4884)\/74).\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 5*c - 2. Let s be (-7*(-9)\/252)\/(1\/4). What is p(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 175*i**2 + 1. Let y be c(1). Let l = 97 - y. Let n = 138 + l. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.06 - 2. Let y = 0.36 - n. Which is the biggest value?  (a) -3  (b) y  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 411, 824, 1237?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38648.073 + -38530. Let o = 118 - l. What is o rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 43977.9199 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f**5 - 140*f**4 - 30*f**3 + 2840*f**2 + 35*f - 2700 = 0 for f.\nAnswer: -27, -5, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 53321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 36\/21*11\/(22\/7). Solve 57*s = 56*s + i for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + 5 + sqrt(700)*1 + 3)**2 - (4*(sqrt(700) + 3) - ((-3 + (sqrt(700) - (sqrt(700) - (sqrt(700) + -3))))**2 + sqrt(700)))) + -4.\nAnswer: 90*sqrt(7) + 1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 123161700 from -931.\nAnswer: -123162631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1023114 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -4, 0.213, -631, -5 in descending order.\nAnswer: 0.3, 0.213, -4, -5, -631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 - (-8)\/(-6))\/(2\/603) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 206 * 16\nAnswer: 3296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7011269*p**3 + 27*p - 61423 wrt p?\nAnswer: 42067614*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 PM and 9:14 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 28 = -5*j. Let z(q) = 3*q - 4. Let a be z(3). Suppose a*l = 17 + j. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 500, 485, 470, 455, 440, 425?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) -19\/714  (b) 5  (c) -10\/11  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of 3*b**4 - b**3\/3 + b**2\/2 + 2. Let c be s(1). Suppose 216 = m + m. Calculate the greatest common divisor of c and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*t - 2 = -20*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4815321 = 74*d + 490909. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.7 + -0.78. Let x = 0.12 - t. What is the closest to x in 2, 4\/7, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 2*u = 18. Is u equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 17*k - 6. Let m be w(9). Suppose -4*p + 443 - m = 0. Suppose -5*z + 62 = 3*i, 3*i + 2*z = p - 6. Calculate the highest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3529 + -3525. Solve 1 = o + x*m - 6, -3*m = 4*o - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 99 = 5*u. Let z = -5143 + 5230. Calculate the remainder when z is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1968.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -4*u + 91 - 79, -2*h + 5*u = 1. Solve -3*w - 5\/2*w**h - 1\/2*w**3 + 0 = 0 for w.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12110929.1 less than 0.042?\nAnswer: -12110929.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1253 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -5\/4*u**3 + 15\/4*u**2 + 15 + 20*u = 0. Calculate u.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.16938 times 4\nAnswer: 0.67752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + 1. Let u(v) = v**2 - v - 3. Let i be u(3). Suppose 11 = -c*z - 5*y, 0 = -3*z - 3*y - i. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.119769 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, 3992, -66, 0, -4, -5 in decreasing order.\nAnswer: 3992, 4, 3, 0, -4, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(-1*sqrt(150) + sqrt(150)))\/sqrt(10))\/(sqrt(363) - (-6*(sqrt(363) + -2*sqrt(363)) - sqrt(363))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*y**2 + 67650*y + 20956995 = 0. Calculate y.\nAnswer: -303, 13833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 7*i = 3059875 + 90325. Round i to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1119 + 1123 + (-25 - (1 + 0 + -1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -54390 divided by 6?\nAnswer: -9065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8724971 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: Find b such that 88\/5 - 432\/5*b + 10*b**3 + 102*b**2 = 0.\nAnswer: -11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 12*h - 1. Let w(i) = i**2 + 13*i + 16. Let k be w(-12). Let s be v(k). Let o = 100 - s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 - 30*z + 353. Let t be v(9). Put t, -6, 19 in descending order.\nAnswer: 19, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 161 = 4*c, t + 16 + 27 = -4*c. Let p = t - -64. Suppose -v + 30 + 8 = -p*g, 4*g = -3*v + 19. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**3 + 13*q**2 - 10*q - 14. Let b be o(12). Let x(g) = 2*g**2 - 16*g + 20. Let j be x(b). What is the units digit of -1 - (-469)\/5 - j\/75?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 56.08 - 56. What is the closest to -0.1 in -0.2, 1, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 681849155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1210 and 34848?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqyqyqqqyyqqqqqqq?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 + -10 - -65) + (-6 - (-2 - 0))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57, 89, 121, 153?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 27, 49, 81, 123, 175?\n\"Answer: 5*t**2 + 7*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001554944 rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/2 + (-6)\/12. Let b = a - -22. Let v be b\/11 - (-10)\/55. Solve 3*j - v = 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*z + 49020 = -93252. Does 78 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + -4. Let r = t + 1.98. What is r rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 963000 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -31, 19, 101, 215, 361, 539, 749?\n\"Answer: 16*o**2 + 2*o - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/1 + -3*(0 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 + z + 5. Let t be m(0). Solve p = -4*p + t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 99 - 24 = -4*b, 4*b - 213 = -5*q. Suppose 2*x + n + n = 36, n - 50 = -3*x. Calculate the smallest common multiple of x and (-60)\/q*45\/6*-1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -412 - 4?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(108)*-3 + sqrt(108)))\/sqrt(9))\/((sqrt(6) + sqrt(66)\/(sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11)))*5).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -784006\/13 - -60665. Let r = s + -357. Sort -5, r, -9 in decreasing order.\nAnswer: r, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 4, c: 5, t: 4, r: 1, d: 5}. What is prob of sequence frc?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of -11*k**7\/1260 - k**6\/72 - 11*k**5\/15 - 50*k**2. Let i(l) be the third derivative of z(l). Is 12 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 7*u + 1. Let q(v) be the second derivative of v**3\/6 + v. Let w(z) = 6*h(z) - 39*q(z). Let l(n) = -7*n - 13. Give 4*l(k) + 9*w(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {n: 1, a: 2, q: 3, o: 3, i: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5659.261 millilitres?\nAnswer: 5.659261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -22\/195 and -1 - ((-9)\/1 + (22 - (-98861)\/(-6786))).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -20?  (a) 3  (b) 3.1  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17938695 is divided by 410.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times -5843504\nAnswer: 584350.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**1)\/i*i*i\/i**(-1))\/((i**(-6)\/i)\/i**(-2)) assuming i is positive.\nAnswer: i**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 675 by -13782.\nAnswer: -225\/4594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8757 and 1512.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 994621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 52.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 182300 divided by 91150\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 114287 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/2*3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 17*o. Let y(d) be the third derivative of 86*d**5\/15 + 5*d**2 + 518*d. Determine r(y(p)).\nAnswer: 5848*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 2*c - 1719, 5*n = -c - 9672 + 1068. Let k = n + 10409\/6. What is the common denominator of 139\/12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1a38923 (base 11) to base 5\nAnswer: -1340002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2542.27 decades to months.\nAnswer: 305072.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 135 and 2760?\nAnswer: 24840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -2\/7, 1\/14, 0.2, -1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10904, -11582, -12262, -12944, -13628, -14314, -15002?\nAnswer: -15692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -24318580, -24318557, -24318534, -24318511?\n\"Answer: 23*m - 24318603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 58272843 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus -0.666463578?\nAnswer: -4.333536422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10263 - 10251 - 10252 + 30766 - 304*k + 302*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -92 - -133. Let n = q + -25. Let z = 32 - n. Calculate the greatest common factor of 80 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1.678 and 39.4.\nAnswer: 37.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110111 + -10?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1252355050.\nAnswer: 2, 5, 31, 331, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 5:25 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -38, -169, -392, -707?\n\"Answer: -46*y**2 + 7*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 0*m - 4593 = -m, 4*u = 5*m + 9165. Let v = 50471\/22 - u. Find the common denominator of 59\/22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 AM and 7:07 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 3 = -2*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**2 - 3*d - 4. Let w be p(3). Let h be 2\/(-8) - 18\/(-8). Suppose 58 + h = 3*r. Solve -25 = -0*s + w*s - 2*n, 2*n = -4*s - r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 + 15 = -15*q. Suppose v + 7*v = q. Solve v*w + 3 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n**3\/9 - 53114*n**2\/9 - 155669*n\/3 + 10614 = 0. What is n?\nAnswer: -10614, -9, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3\/2)\/((-2)\/(-4)). Differentiate -10*k + 11*k - 81 - y*k wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -55 - -141. Calculate the remainder when w is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/85480878 and 73\/19698.\nAnswer: 598366146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 17 - 5. Suppose -31 + 1 = y*o. Let d be ((-13)\/65)\/(2\/o). Solve 2*c = -3*a + 1, d + 1 = 3*c + 4*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 235 - 232. Solve -4*g = w - g + r, 0 = 3*g + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 u, and 1 n when three letters picked without replacement from {s: 1, a: 4, n: 2, x: 3, u: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 142 = -32793*s + 32822*s, 5*s + 29 = -4*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -377*n**8\/28 + n**7\/14 + 45*n**4\/2 + 2*n + 590. What is the third derivative of v(u) wrt u?\nAnswer: -90480*u**3 + 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-417)\/396 - 2\/(-8). Let c = -3\/22 - m. What is the third biggest value in c, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b4 (base 13) to base 8.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 688.41962 to the nearest integer.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 3*w + 817 - 252 = 0, h = -w + 115. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 16 = 0, -2*m = 4*g + 1176 - 8032. Suppose -1560 = -9*v + g. What is the common denominator of v\/180 - (-20)\/(-25) and -36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -8138, -3, -5 in decreasing order.\nAnswer: -3, -4, -5, -8138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - -8 - (-7 - -51 - 4).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-1))\/((-5)\/((-30)\/2)). Let v be ((-22)\/q + -1)\/((-8)\/(-24)). Solve v = 4*p - 8*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 874597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 120 - -134110242?\nAnswer: 134110412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of 5\/4*a**4 - 13\/6*a**3 + 1\/24*a**5 - 1\/72*a**6 + 0 - 38*a + 0*a**2. Let f(k) be the second derivative of p(k). Factor f(w).\nAnswer: -5*(w - 3)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/(-4)*(-9 + 7). Let r be 4*(2 + d\/(-4)). Solve 4*u - l = -17, -3*l - 40 = r*u + 2*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 1. Let a(z) = z - 4. Let x(u) = 5*a(u) - 35*n(u). Let t be x(15). Let s be (-6 + -34)\/((-1)\/2). Calculate the greatest common factor of s and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 712 and 512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-34)\/(5*(-7)\/70). Suppose -161 = -v + f. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/4)*h\/((h\/((h**(1\/7)\/h*h)\/h))\/h))\/(h**24\/(h**(-2\/47)\/h)) assuming h is positive.\nAnswer: h**(-32439\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 6:19 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010982 to four decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - 42 - (-11 - (32 + -63)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*-1*1*7\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.692348 litres to millilitres.\nAnswer: 2692.348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (196\/49)\/(4\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a + 34. Let y be i(-14). Let b be (-1)\/(20\/y)*20. Is b equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -7*w**2 - 14 + 14. Let l(q) = -2*q**2. Determine l(j(o)).\nAnswer: -98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1\/7  (b) -2.5327  (c) 0.4  (d) -4  (e) 646\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 - 15 = 112*z - 106*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*c**2 - 3*c**2 - 2*c**2)*(-4*c - 4*c + c) - 11*c**3 - 2*c**3 - 12*c**3 to z*c + r + d*c**2 + x*c**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4270 divided by -542?\nAnswer: 2135\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2715489, -5430960, -8146431, -10861902?\n\"Answer: -2715471*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8 - 55\/(-70) - (-288)\/1344\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 4*l - 0*l - 4, -3 = -3*l - 4*g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 23*t**2 - 38*t + 98. Determine m(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2009*q - 3*h = -2009*q + 3, 5*q + 3*h = -158 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 311763.\nAnswer: 3, 17, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1597, -2204, -2805, -3394, -3965, -4512?\nAnswer: -5029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 + 3*c + 3. Let h be w(3). Let d = h - -1. Calculate the lowest common multiple of (12 - d)*(2 + -1) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of -33*j - 7 + 81\/2*j**2. Let y(o) = 5*o - 2. What is -2*v(m) + 33*y(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l. Let q(k) be the first derivative of -723*k**2 + 616. Calculate u(q(c)).\nAnswer: -1446*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/231176 and -23\/52636.\nAnswer: 3042044984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f = 7 - 37 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y + 2 - 2)*(43 - 39*y - 43)*(-3*y**2 - 2*y + 2*y).\nAnswer: 234*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 - -517. Suppose -u + 4*x + 142 = 0, -4*u + 2*x = -3*x - v. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h**2 - 9 + 9)*((3 + 4 - 1)*(3*h - h - h) + 10*h - 4*h - 2*h)*(21*h**2 - 12*h**2 - 25*h**2).\nAnswer: 640*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3143059 divided by 25?\nAnswer: -3143059\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*z - z - z)*(-2*z - 3*z + 3*z) - 3*z - 3*z**2 + 3*z)*(z + z + 8*z).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (1 - 23) - (-4 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j + 10. Let z be v(4). What is the greatest common factor of z and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2\/7, -2\/5, 0, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*k**3 + 64*k**3 - 82*k**3 - k - 91*k**3.\nAnswer: -174*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 j when three letters picked without replacement from jffzqjj.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 - -5. Let t be (d - 4\/8) + 2. Suppose 3 = 4*o - 3*o. What is the second smallest value in o, t, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 125125290 to the power of 1\/2, to the nearest integer?\nAnswer: 11186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 0*g**3 + 322*g**2 + 7 - 6*g - 326*g**2 + g**3. Let h be m(5). Solve 0*j = h*j - u - 11, 2*u + 18 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 674489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 30392*p - 243420. What is z(8)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -552 - -1671. Let k = -766 + g. Is k 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 soyyysjyytyjsstysoyy. What is prob of picking 1 s, 1 y, and 2 j?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 21*q - 8. Let n be u(4). Suppose 0 = -h - 3*h + n. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*j + 8 + 5*j**2 - 5*j**3 + 20 - 4*j - 32 to the form f*j**2 + g*j + b*j**3 + m and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**3 - 6*c**3 + 0*c**3)*(89 + 9*c - 89).\nAnswer: -45*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -116*l**4 + 30*l**3 - 225*l**2 + 43*l.\nAnswer: -2784*l + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 1460 = 5*u, -3*u + t + 0*t = -865. Let m be 2\/(-6) + 1012\/(-6). Let o = m + u. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -5*a + 18. Let t(i) = -8*i - a*i + 9*i + 1. Give t(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 3 = -13*l. Calculate the smallest common multiple of (1056\/336)\/(l\/14) and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35942049391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 2:45 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-37)\/(-15) + (-4)\/(-20). Suppose 3*o + 0*w - 12 = 2*w, 0 = 2*w + 6. Suppose t*q**o + 1\/3*q - 2\/3 + 5\/3*q**3 = 0. Calculate q.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 2*h + 4064. Suppose 9*b = b + h. What are the prime factors of b?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10061 - 63?\nAnswer: -10154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -435*s**2 + 492 - 165 + 128*s**2 - 169 - 184 to the form u + z*s**2 + y*s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 62276994097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 9)*(1 - k - 1)*(3 + 1 - 5)*(-15 - 7 + 9) - 2*k + 2*k - k.\nAnswer: -105*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64468?\nAnswer: 2, 71, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 13 = 5*i - 4, 0 = 3*i + o - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6fc (base 16) in base 11?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = 3*v + 9, -12*v - 3*z - 23 = -16*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 896 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 325*w**3 - w**2 + 4*w - 4. Suppose -5*v + 12 = 7*v. Let h be p(v). What is the highest common divisor of 36 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 5*g**4 - 8. Let f(w) = -1. Let v(q) = 6. Let y(a) = -5*f(a) - v(a). Let m(c) = -t(c) + 2*y(c). What is the first derivative of m(z) wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 763201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 13083040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (44\/(-88))\/((-1)\/(-22484)*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a century in months?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-2))\/((-35)\/(-42) + -1). Solve 4*t + 41 = -5*k, 3*k - k - 4*t - f = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 94867700?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -47016308 + 0.99?\nAnswer: -47016307.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j + 1240 - 1240.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.8202, -3\/5, 5 in descending order.\nAnswer: 5, 0.8202, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -31*j - 9. Let g(q) = 1. Let y(b) = -2*a(b) - 18*g(b). Let s(n) = n**2. What is y(s(f))?\nAnswer: 62*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - l - 88, -2*l = -4*l + 8. Let k = 59 + h. Let f be ((-9)\/9)\/(1\/k). Do -3 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(128) + -5 + -1)**2.\nAnswer: -328 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2451 and 1007.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 8*n - 1. What is m(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 421835147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 9:40 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*q**4 - q**2 + 16*q**4 + 3*q**3 + 0 - 3 + 1 to the form w*q**4 + k + f*q**2 + n*q**3 + v*q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/640450 and -6\/397079?\nAnswer: 19853950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/2  (b) -1\/2  (c) -0.2  (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oomlymlyogmlg. Give prob of picking 1 o and 1 m.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (932*o - 369*o - 84*o)*(-1 - 1 - 2*o**2 + 18).\nAnswer: -958*o**3 + 7664*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 + (0\/1)\/3. Let z be (-2)\/((-1)\/(r - 2)). Solve y - 5*p = z*y - 10, 0 = -y - 4*p + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -465452 (base 7) to base 11\nAnswer: -57884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.07 + -0.02. Let r = 0.05 + u. Suppose 5*b + 3*m = 0, 0*m - 3*m + 30 = -5*b. Sort r, b, -1\/4 in descending order.\nAnswer: r, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -7*p - 480 - p + 489. Let g(t) = 23*t - 26. What is -17*d(w) - 6*g(w)?\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of q**5 + 2126*q**4 + 15*q**3 + 405*q**2 + 50 wrt q?\nAnswer: 60*q**2 + 51024*q + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - 2)*(-127*h + 14*h - 618*h) + (1 - 5 + 2)*(2*h - 4*h + h) as y*h + r and give y.\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(243) + -4 + 0))**2.\nAnswer: -1800*sqrt(3) + 6475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - 9*d**2 + 8*d - 15. Let p be w(-10). Which is the nearest to -1\/3?  (a) -2\/11  (b) p  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -12406*l + 161280. Give y(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5010 + -45022\/9. Which is the fourth biggest value?  (a) h  (b) -3  (c) 3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 167 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(475))*-5 - (5 + (sqrt(475) - sqrt(475)*2))) + 4.\nAnswer: -20*sqrt(19) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 3*w = -3696, 104*r = 108*r - 4*w - 14792. What is the greatest common factor of 18 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of 7*b**5\/60 + 7*b**4\/24 - 17*b**3\/6 + 5*b**2. Is n(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78549180 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -92 - -95. Put 0, a, -2\/17 in increasing order.\nAnswer: -2\/17, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -927513900 to the nearest 100000.\nAnswer: -927500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*w - 3*c, 0 = -w - 2*c + 7. Let o be 7 + (-8)\/24*9. Sort w, o, 2 in decreasing order.\nAnswer: o, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -62 - 26. Let d = -9 - a. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 AM and 12:34 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 689\nAnswer: -344.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*f**2 - 56349374*f + 137684061 with respect to f.\nAnswer: -4*f - 56349374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 9*k**2 + 9*k + 11. Let o(w) = 44*w**2 + 46*w + 55. Give -19*n(y) + 4*o(y).\nAnswer: 5*y**2 + 13*y + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.9492 - 0.0508. What is the closest to 2\/3 in 2, -3, -0.03, k?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 271, 379, 557, 805, 1123?\n\"Answer: 35*l**2 + 3*l + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + z + 46, -k + 6*k = 2*z + 78. Calculate the highest common divisor of k and 875.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, a: 1}. What is prob of sequence qqa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*j, -5*u + 42 = -4*j - 12. Suppose y + 4 = -5*i - 6, 0 = 5*y - i - 54. What is the smallest common multiple of u and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((-1 + sqrt(612))*4 + 3 + sqrt(612) + 3*sqrt(612) + 2*(sqrt(612) + (-5 + sqrt(612) + -1 + sqrt(612) - sqrt(612))) + 5)**2.\nAnswer: -1152*sqrt(17) + 88191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 26. Let q = j + 6. What is the nearest to q in -0.4, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 5:34 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ofimo. What is prob of picking 1 m, 1 i, and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 4:06 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 45 = -130. Let f be i*(1 + 0\/(-1)). Calculate the greatest common factor of f and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1181, -1605, -2029?\n\"Answer: -424*p - 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 + 23*h**2 - 22*h + 4. Let q be r(22). Let t be 2044\/(-21)*30\/q. Calculate the common denominator of (t\/(-60))\/((-6)\/4) and 31\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rgzorsraazsgaag. What is prob of picking 1 s and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42449 is divided by 159?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i**2 + 1 - 1 + (-3*i**2 - 4*i**2 + 3*i**2)*(4 - 3 - 2) - 2*i**2 - 5*i**2 + 4*i**2 in the form q*i**2 + w + t*i and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (53*h**2 - 8*h**3 - 7*h**3 - 54*h**2)*(16*h**2 + 11*h**2 - 30*h**2 + (2 - 2 - 2)*(-4*h**2 - 2*h**2 + 4*h**2)).\nAnswer: -15*h**5 - h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f**4 - 14*f**3 - 28*f**2 - 19*f. Let t(y) = -10*y**4 - 70*y**3 - 140*y**2 - 94*y. Let j(c) = 14*o(c) - 3*t(c). Factor j(s).\nAnswer: 2*s*(s + 1)*(s + 2)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z\/(z**(-4)*z))*z)\/(z**(-7)\/z)*z**0*z**2\/z*((z**(-5)\/z)\/z**(-1\/4))**28 assuming z is positive.\nAnswer: z**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 150 = 5*f, -30*r + 26*r - 5*f + 115 = 0. Suppose -r*x = -11*x - 48. Solve 2*z = -x*i - 3*i - 31, -24 = 3*i + 3*z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ruuuurru. Give prob of picking 1 u and 1 r.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -3*r**3 - 71*r**2 + 21*r - 12. Let x be h(-24). Calculate the highest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(76) - -3*sqrt(76)))\/(-3*sqrt(4)*2))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of -2*f**6\/5 - 17*f**5\/5 + 3*f**4 + 34*f**3\/3 - 12*f**2 - 51*f. Suppose w(j) = 0. Calculate j.\nAnswer: -6, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26168.4809 + -26167. What is v rounded to two decimal places?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 386021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*v = 28*v - 84. Let p = 83\/3 - v. Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(171)*-2*5*-3)\/((6*sqrt(72)*-2)\/sqrt(8)).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o*o\/(o*((o**(5\/6)*o*o)\/o)\/o))\/o**(8\/5))**(8\/9) assuming o is positive.\nAnswer: o**(68\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 9ff4 (base 16) to base 9\nAnswer: 62147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 92.78435 minutes?\nAnswer: 5567061000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2202712 rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-6) - 48\/(-9). Suppose -11 = -t - b*q, 2*q - 2 = t + 1. Solve -s + 4 + t = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -1 - ((8 - (-7 - -19)) + 14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -125 - -117. Let t = 10 - m. Let d(f) = 2*f**2 - 37*f + 27. Let u be d(t). Solve -2*l - 3 = 4*h + 9, 0 = -l + h + u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 46195000 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5355)\/405 + 13)\/(3\/6).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5639490*p - 5639272*p = -15696 for p.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/3 or 5.3974171?\nAnswer: 5.3974171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -163 - -162.9826. Round g to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17541733 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 AM and 4:26 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1892 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-3\/8)\/y)\/y)\/(y\/y**(-5))*(y\/((y**(2\/3)*y)\/y))**(-2\/7)*(y**(1\/2)\/(y**3\/y))\/(y\/(y*y**2))**(-10\/7) assuming y is positive.\nAnswer: y**(-2155\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1642474*j**3 - 93*j + 95?\nAnswer: -9854844*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 5 - 2*p - 2 + 2*p - 2*p. Let t be k(-3). Is ((-22)\/(-6))\/(t\/81) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -83*d**3 + 4*d**2 - 10*d - 1. Let r(y) = -83*y**3 + 4*y**2 - 11*y - 2. Let t(o) = -7*k(o) + 6*r(o). Let j be t(-5). Round j to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + 3*g**2 - g + 2. Let l be b(-3). Suppose -3*c = l*y - 300, 3*c - 119 = -2*y + 190. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4509 and 1101699.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 636152 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = 2*a - 7, 0 = -5*a + 10*a - 2*h - 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*o + 3515 = -r + 3508, r = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of b**3\/3 - 4*b**2 + 4*b + 78. Give t(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -79527*r*w - 1043030*r + 30*w + 6 with respect to w.\nAnswer: -79527*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-4 + 95\/24). Let r be 19\/((-114)\/b)*6\/8. Solve 2*a = 5*i - 2, r*a - 4*a - i - 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 30*y**2 - 3*y + 1. Let n = 13 + -11. Let m be v(n). What is the highest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1423145 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 15880, 30434, 43664, 55570, 66152, 75410, 83344?\n\"Answer: -662*a**2 + 16540*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 151*q + 621. Determine d(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/3)\/((-8)\/(-36)). Suppose 3*c + n = 5*c. Let d(x) = 4*x**2 - 2*x**3 + 0*x**2 + x**c. Calculate d(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nltct. Give prob of sequence ln.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of -3*c**5\/20 - 81*c**4\/4 + 42*c**3 + 246*c**2 + 1262*c. Factor i(h).\nAnswer: -3*(h - 2)*(h + 1)*(h + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 255659 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/(-12) + 0)\/1. What is the nearest to -3 in w, -3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, x: 1, n: 3, h: 1, k: 2, v: 1}. Give prob of picking 1 k and 3 n.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -66 + 328\/5. Let n = -44 - -46. Let j be 16\/28 + -2 + n. Sort j, 2\/3, l, 1.\nAnswer: l, j, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**3 - 19*j**2 - 19*j + 6.\nAnswer: -(j + 2)*(j + 3)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -402001 (base 6) in base 2?\nAnswer: -111101100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 13*u - 8*u - 6 + 5*u**2 + 3 + 12*u**3. Let t(v) = -3*v**2 - 4*v + v + 2 - 39*v**3 + 33*v**3. Let f(i) = 3*r(i) + 5*t(i). Differentiate f(d) wrt d.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1068, -1075, -1082?\n\"Answer: -7*o - 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -2*n**2 - 11*n - 10. Let o be r(-4). What is the second derivative of -2*q**3 + 236*q**2 + 32*q - 236*q**o wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vlv when three letters picked without replacement from llvllllv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -62  (b) -1  (c) 903.2  (d) 1\/3  (e) 0.02  (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 153?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 251 divide 275096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -50 + 56. Find the third derivative of 1 - 1 - 12*m**6 - 3*m**y + 6*m**2 wrt m.\nAnswer: -1800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v. Let b(g) = 9*g - 3*g - 4*g - 4*g. What is 4*b(h) - 4*u(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3.3312 and 17.\nAnswer: 13.6688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 88 - 401337\nAnswer: -401249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*r - 2 = 13*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 3*b**5 - 3552*b**4 - 171780*b**3 - 2201550*b**2 - 3901983*b - 1868658 = 0.\nAnswer: -23, -22, -1, 1231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20935 + 29*a**2 + 9*a**6 + 20935 wrt a.\nAnswer: 1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 0*b = -5*t - 50, -b = 6*b + 4*t - 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(0 + sqrt(1216) + (sqrt(304) + sqrt(19) + -2)**2)*-4.\nAnswer: -288*sqrt(19) + 11496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23*q - 137*q**4 - 1586*q**5 + 137*q**4 - 31*q - 127 wrt q.\nAnswer: -31720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 8*s. Let c(z) = 2*z - 6. Let w(d) = 2*d - 7. Suppose 31 = -4*k + 3. Let b(u) = k*c(u) + 6*w(u). Give j(b(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -41 + -62849?\nAnswer: -62890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**1*m)**(-41)*m\/(m**3\/m)*m**(-4\/11))\/((m**(10\/7)\/m)\/(m\/(m\/(m**(-4)*m*m))))**43 assuming m is positive.\nAnswer: m**(-11303\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 + f**2 - 10*f + 2504. List the prime factors of b(0).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**2 - 5*q + 4. Let z be a(2). Suppose -z*d - 17 = -3*d. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a9 (base 14) in base 9?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-2)*3\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51 + 10*w - 6*w - 51.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*i - 70*i + 1339 = -5*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (11938\/2667 - 1\/7)*-3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18777549 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (9\/12)\/(1\/4). Let s be (-2)\/y - 32\/(-12). Calculate the common denominator of -3\/5 and s\/6*(-15)\/(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1347, -1486, -1639, -1806, -1987?\nAnswer: -2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p + 6. Let z be t(-3). Let f(m) = 18*m - 8*m**2 + 1 + z - 2 - 20*m. Calculate f(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*o**2 + 3 + 3*o**2 - 3 in the form f + c*o**2 + u*o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 153745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s**2 - 5*s - 7 + 7. Let m(a) = -4*a**2 + 9*a. Suppose -3*v + v = -14. Suppose -16 = 3*q - v*q. Give q*m(d) + 7*j(d).\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 18641.7771 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-v + v + 2*v**3)*(0*v + 49 - 55 - 5*v) to y*v**2 + t*v**3 + h + n*v**4 + m*v and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -8 - 2. Solve 3*n = a*r - 1, 24 = -3*n - 5*r - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 380037.\nAnswer: 3, 7, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/13 - 15984\/(-5616) - (1464\/(-4))\/(-3)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 21*u**5 - 45*u**4 - 1191*u**3 + 1389*u**2 + 2178*u - 336 = 0.\nAnswer: -7, -1, 1\/7, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 - (5 - (1 + 3)). Suppose c*y + 12 = 4*y. Let 7*a**3 - 2*a**3 + a**4 - 8*a**2 - y*a**3 + 9*a**2 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 c when three letters picked without replacement from hwcwjrhc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.4 + 3. Let h = 3016164.5999921 + -3016165. Let k = h - q. Round k to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - 2 - (-2 + -2) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to 211\/672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkw when three letters picked without replacement from wkwkwwwwwwwkkw?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 13*i**2 - 35*i + 91. Let r be u(27). Round r to the nearest 100.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 + 12*v + 8. Determine w(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b = -4*b + 5. Let w be 50\/15*((-10)\/(-4) + b). Suppose 695 = w*h - 25. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 18 + 108?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/3)\/q)**(-1\/9)*q**(1\/6)*q**17)**(-16\/7) assuming q is positive.\nAnswer: q**(-7496\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5572740*4\nAnswer: 22290960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 40 = 3*c + 3*c - 8*x, 22 = -2*c - x for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 107992091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 1105*n. Let b(w) = 1105*w. Determine 3*b(h) - 4*u(h).\nAnswer: -1105*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3250724 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 51 + -59. Let v be (0 - (2 + -50))*4\/q. Do -20 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-412)\/(-60) - 7 - (-82804)\/30) + -7?\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (18\/4)\/((-6)\/(-8)). Suppose p + 4*m = i*p - 26, -4*p + 4*m = -24. Solve -b - c - 2 = 0, 3*b - 4*b = p*c + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 257 + -272 + 50 + -119.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 13 = 4*a, -34*k = 5*a + 60 - 167 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 696380, 696384, 696390, 696398, 696408, 696420, 696434?\nAnswer: 696450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 102\/66 - (-5 + 2 + 4).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 4*o - 20, -2*i + o + 2 = -3. Suppose -3*h + 5*y + 124 = i, -4*h + 5*y = -28 - 144. 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: Suppose 0 = -9*j - 14*j. Solve -15*a - 3 - 72 = j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 133\/39762522 and 46\/356295.\nAnswer: 198812610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -13*c - 791. Let i be m(-61). Solve -i*b - 16 = -4*x, -6*b + 2*x - 20 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of 56*h**5 + 16*h - 27. Differentiate v(l) with respect to l.\nAnswer: 1120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2128893*p - 2128894*p = -5*k + 5, -4*p - 4*k - 92 = 0 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 25 = 155. Let t = b + -56. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4b3 - -46?\nAnswer: -46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 37 = 3*g, 3*t + t - 37 = -5*g. Suppose g = 2*d - 3. What is the units digit of 3\/d - (-3)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + -7. Let o be -1*(-1 + -1 - 1). Suppose 1 + 14 = o*y. Is y greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -10  (b) 5  (c) 0.11  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 0, -2*v = -0*v + 2*u - 96. Let g = v - 51. Suppose 0 - 2 = l. Sort 3, l, g in descending order.\nAnswer: 3, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-67*i + 41*i - 50*i)*(4*i - 5*i - i) + (3 - 7 - 2)*(-3*i + 3*i + i**2) + i**2 + i - i.\nAnswer: 147*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5050 - -5050. Let n(f) = 7*f - 1. Let z be n(-6). Which is greater: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of -i**7\/252 + 53*i**6\/180 - 52*i**5\/75 + 31*i**4\/45 - 119*i**3\/3 + 36. Let y(u) be the third derivative of v(u). Factor y(l).\nAnswer: -2*(l - 31)*(5*l - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -5*(sqrt(7) + 1))**2 + -4 - (sqrt(21)\/sqrt(3)*-3*5 + 3).\nAnswer: 45*sqrt(7) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 AM and 9:02 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 653.00976 seconds?\nAnswer: 0.1813916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 0.105, -0.2, 16 in decreasing order.\nAnswer: 16, 0.105, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - ((-452 - -448 - (-1 - -4)) + 12 + -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 3*g + 0 + 3*g + 20*g.\nAnswer: 20*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 - 4*d**2 - d + 4. Determine l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 55457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p and 1 i when four letters picked without replacement from {i: 2, m: 2, f: 1, p: 9}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + b + 35 = -21, 5*k - 2*b + 86 = 0. Let a = k - -29. Suppose 914 = a*l + 1. List the prime factors of l.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4130)\/35*((8\/(-20))\/((-52)\/(-65)))\/1\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -430 = -16*u + 21*u. What is the common denominator of (u*2\/192)\/((-2)\/(-3)) and 47?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 53789, 107595, 161427, 215285?\n\"Answer: 13*h**2 + 53767*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of -201*z**4\/4 + z**3\/3 + z**2\/2 + z + 8. List the prime factors of h(-1).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 10:45 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -668, -665, -650, -617, -560, -473?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 984803.6 micrograms in nanograms?\nAnswer: 984803600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -19*l - 458. Give s(-21).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from {c: 3, i: 3, y: 3, d: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 2564525 - 43977448. Let u = -77713991 + m. Round u to the nearest 1000000.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22707*l**3 + 23751*l**2 - 1056*l + 12.\nAnswer: -3*(l - 1)*(87*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 5. Let p = 6 - l. List the prime factors of (-1)\/p + (-5)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500)*1 - sqrt(5) - 5*(3 + sqrt(5)))**2.\nAnswer: -120*sqrt(5) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1227296350 + 0.037916\nAnswer: 1227296350.037916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4, -0.07, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 145.16 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 3. Suppose 0 = 2*p + 4*q - 32, -6*p + 19 = -y*p - q. Let z = 5 - p. Let v(r) = -6*r**3 + r**2 + r. Give v(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.3 - 2.3. Let n be (-4)\/(-36) + 2\/9. Which is the nearest to t?  (a) 5  (b) 4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b. Let k(p) = -3*p**2 + 5. Let q(c) = -1. Let t be -3 - (-3)\/(3\/(-2)). Let o(s) = t*q(s) - k(s). Give o(z(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6182600105 to the power of 1\/3, to the nearest integer?\nAnswer: 1835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 e when three letters picked without replacement from zmemeq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 81396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 3\/3937202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 7, k: 4, z: 6, e: 1}. What is prob of sequence kddz?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/3*(-21)\/(-14). Let w = 1 - x. Solve -4*y = -3*r - 1, w*r - 5*y + 10*y - 35 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/29 and 20?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, u: 3, b: 4, g: 1, r: 7}. What is prob of picking 1 r and 1 l?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4011*((3 - -3) + -7). Suppose -10*t + z = 21. What is the highest common divisor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m**3 - m - 3*m**2 + 4*m - 3 + 2. Let c(n) = 6*n**3 + 2*n**3 - 7*n**3. Let l(a) = -c(a) + r(a). Suppose l(j) = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence duu when three letters picked without replacement from uuduuuuuquuuud.\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 180\/22 - 4\/22. Let v be 6\/l - 4\/(-16). Let s(q) = 1. Let d(o) = o**3 + o**2 + o - 3. Let b(n) = d(n) + 2*s(n). Calculate b(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + sqrt(7) + ((sqrt(448) - (sqrt(448) + -1)) + sqrt(448))**2 + sqrt(7) + sqrt(700) + sqrt(700)*-1.\nAnswer: 19*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.8658 rounded to 2 dps?\nAnswer: -2.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -57302.48952 and -0.4.\nAnswer: -57302.88952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, 6.8, 11, 2, -1\/92, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2 - 10*y - 1. Let b be t(10). Let s be b\/2*(-90)\/9. Solve -2*i - 2*i + 18 = -2*v, 5*i - s*v = 35 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = -184\/151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1429 - 1427. Let n = -2 - -4. Let r = 1 + n. Which is the second smallest value?  (a) -1\/12  (b) r  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1428352 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -251200*h**2 - 251240*h**2 + 502544*h**2.\nAnswer: 104*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6  (b) 0.01  (c) -214  (d) 0.4  (e) -0.3  (f) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of o**5\/20 + o**4\/2 - 11*o**3\/3 + 9*o**2\/2 + 1145*o - 1. Calculate n(-8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -38*h - 330. What is g(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2479 and 139561.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - 3*d**2 + 6*d + 10. What is k(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 733.3083 nanometers in kilometers?\nAnswer: 0.0000000007333083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lvmmvvvlvvvfvloolvv. What is prob of picking 4 l?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4453*j - 4454*j + 11*p = 77, -2*j + p - 2 = 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 0.13, 2.8 in ascending order.\nAnswer: -0.3, 0.13, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -1 + -1 + 3 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 380453 - (-1 - (-2 + -7)). Suppose 55*y - q = 16*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.39898142 rounded to three decimal places?\nAnswer: 0.399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 3*c - 486, -5*f + 2*c = c - 478. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*y + 226 = -18*y + y - 105*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -27002653*w**2 + 39593718*w wrt w?\nAnswer: -54005306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 942*m - 1880. Determine t(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of -u**5\/60 - 55*u**2. Let t(w) = -2*w**2 - 5. Let q(l) = -3*l**2 - 7. Let o(n) = -5*q(n) + 7*t(n). What is j(o(h))?\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of n**7\/240 - n**6\/80 + n**5\/120 - n**3\/3 - 2*n**2. Let s(k) be the first derivative of b(k). Factor s(c).\nAnswer: c*(c - 1)*(7*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2*d**3 - 7*d**2 + 8*d - 35. What is z(5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(2\/3))**(-2\/3)\/(h\/h**(1\/2))**47*(h\/(h*h\/(h\/(h\/h**(2\/21)*h*h))))\/((h*h**(-5\/2))\/h*h)*h*h*(h\/(h**(2\/5)*h))\/h*h*h**(2\/11) assuming h is positive.\nAnswer: h**(-83971\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*j + 136*j - 8*s - 282 - 404 = 0, -46 = -4*j + 5*s + 17 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -352*c + 392 + 328 = -272*c. What is the remainder when 1030 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3622990 divided by -2555\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-15))\/(72\/(-240))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -143.\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 3 + 7 = -3*v, 0 = 2*h + 3*v - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1372122357.\nAnswer: 3, 71, 6441889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express g - 24*g - 16*g - 11*g - 33 + 23*g in the form y + w*g and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -3, 1\/5.\nAnswer: -22, -3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 435112*w. Let j(y) = -29*y. Determine j(v(b)).\nAnswer: -12618248*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2431, 9567, 21537, 38407, 60243, 87111, 119077, 156207?\n\"Answer: 11*p**3 + 2351*p**2 + 6*p + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 11340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 27.59757 centimeters?\nAnswer: 275.9757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 121, 119, 125, 145, 185, 251, 349, 485?\n\"Answer: i**3 - 2*i**2 - 3*i + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3098 + -2865. Calculate the remainder when u is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 105, 0, 2, 958.\nAnswer: -2, 0, 2, 105, 958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ajrj when four letters picked without replacement from qqjjqaqqr?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 3 = 4*q - 2, -5*x - 3*q + 12 = 0. Suppose -x*m + 6*m = -336. Let g = -77 - m. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 - 9*f**2 - 13*f**2 - 12*f**2 + 42*f**2. Let o = 0 + 2. Let y(v) = -2 + 2 + o*v. What is y(g(i))?\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7, i: 5, x: 2, a: 2, b: 3, q: 1}. Give prob of sequence ilb.\nAnswer: 7\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.8?  (a) 0.4  (b) -0.2  (c) -0.05  (d) 2  (e) -53  (f) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of -z**2\/2 - 947. Suppose -3*s = -8*s - 15. Let r be ((-3)\/(9\/(-6)))\/(-2). Let t(m) = 4*m - 1. Calculate r*t(i) + s*a(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3738735251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1270 = -4*n - 8*x + 6*x, -1598 = -5*n + x. What are the prime factors of n?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2573 + 1072410?\nAnswer: 1075203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 64 + -36. Does 28 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 100740085445 and 0.5?\nAnswer: 100740085444.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 - 6*y**2 - 2*y - 14. Let u be m(7). What is the greatest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -856358, -1712712, -2569066, -3425420?\n\"Answer: -856354*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 17\/5304*282 - (-6)\/(-8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 44487705 divided by -8897541\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5209, 5085, 4871, 4561, 4149, 3629, 2995?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-120))\/((-1)\/2)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -360*k**4 - 3*k**3 - 3*k**2 + 26149.\nAnswer: -1440*k**3 - 9*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (1 - -1) - (25 + -27) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2135 and 175.\nAnswer: 10675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l**2 + 7*l**2 - 2*l**2 - 30*l + 30*l + 3*l**2 + (4*l - 3*l + 0*l)*(2*l - 3*l + 0*l))*(-7*l - 4*l + l).\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/9?  (a) -2\/5  (b) -5\/4  (c) -4  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o + 2*o - 94*o - 10*o. Let g(x) = -2*x. Give g(s(a)).\nAnswer: 200*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*q - 6*q + 0*q)*(q**3 + 2*q**3 + 3*q**3).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 94\/18 + (-4 - (-170)\/45). Suppose g = -3*b + 8. Let m(s) = -3*s**3 - 2*s + 1. Calculate m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -11*o + 7. Suppose -2*r + 5*n = -20, -5*r + 14 = -2*n + 6. Suppose o*f - 14 - 14 = r. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 + 10*p**2 + 12*p - 14. Let z be j(11). Let d be (-108)\/30*(-40)\/z. Calculate the least common multiple of (-2)\/(-5) - d\/5 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 59 = 2*g + 5*m, 5*g - 5*m - 165 = 0. Let u = -28 + g. Suppose 2*l + 24 = 4*w, u*w - 3*w - 6 = 3*l. What is the highest common divisor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3732 - -5202. What is the smallest common multiple of 1029 and p?\nAnswer: 10290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68837?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*r - 62*r - 42 = 0. Let u = -1\/64 - 123\/320. Which is the third biggest value?  (a) 5\/2  (b) r  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 34\/66 + 5\/(-15). Let d = -0.31 - -6.31. Which is the second biggest value?  (a) w  (b) d  (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32108630443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/7, 18, -5\/3, 1\/4, 1\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-16)\/(-330) - (-12)\/90. Put 2\/9, g, -10 in descending order.\nAnswer: 2\/9, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -39 - -43. Suppose a*s - 20 = -s. Factor 9\/5*h**s - 6\/5*h**3 + 0*h + 0 - 3\/5*h**2.\nAnswer: 3*h**2*(h - 1)*(3*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, q: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 r, and 2 d when four letters picked without replacement from {j: 1, d: 4, r: 3, k: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k + 0*k + 2*k + (560 - 560 - 15*k)*(-5 - 1 + 4) + (2 + 2*k - 2)*(4 - 4 + 1).\nAnswer: 31*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99216 = -75*s - 17*s - 14*s. What is the greatest common factor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 220, 45534, 5, 2 in descending order.\nAnswer: 45534, 220, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1010211 (base 3) to base 5\nAnswer: -11312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 3 + sqrt(153))*-2 + 2.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, c: 7, h: 1}. What is prob of picking 2 x and 1 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 16*u**2. Let y(f) = -161*f**2 + 3. Calculate z(y(p)).\nAnswer: 414736*p**4 - 15456*p**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence prpm when four letters picked without replacement from {p: 3, s: 2, m: 3, r: 3, c: 2}?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 478 is divided by 124.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -626, -1251, -1876, -2501, -3126?\nAnswer: -3751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (9\/4)\/(15\/(-80)). Let t be 5\/2 - (-6)\/f. Suppose 0 = q - 3*x + 7, -3*q - t*x + 18 = 2*x. Solve u - q = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -8*i**3 - 2*i**2 + 6*i - 3. Let x(g) = 7*g**3 + 2*g**2 - 5*g + 3. What is -5*a(f) - 6*x(f)?\nAnswer: -2*f**3 - 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4 - d**3 + 7*d**3 + 6 - 3 + 10*d**2 wrt d.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 326 + 54. Calculate the highest common factor of y and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2003861?\nAnswer: 2003861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 6  (b) -2  (c) -703  (d) 0.15  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 57425 and -23.\nAnswer: -1320775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -11*v + 6. Let j(i) = -i. Let f(t) = 4*j(t) - k(t). Is 18 a factor of f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (8 + -18)*(1 - 0)*-1. Let s be -3 + (y - 6) + 0. Do 1\/39 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j + 1. Let r(z) = -z - 1. Let x be r(3). Suppose -5 = f - 9. Let v(p) = -5*p - f - 4 + 3. Determine x*u(d) - v(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 19710035*l**3 + 5*l**2 + 863919261.\nAnswer: 59130105*l**2 + 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nfep when four letters picked without replacement from fbfefbppppepefnf?\nAnswer: 5\/2912","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2211\/52 - 660\/13. What is the common denominator of 41\/3 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 83314 and 6468.\nAnswer: 3499188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f**2 - 15*f - 33. Give a(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, -18, -37, -58?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/616 and -125\/7524?\nAnswer: 105336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*d + 31*d + 168 = 0. Suppose -2*a - 8 = -s + 3, 3*s + 3*a + 12 = 0. Let w be d*4\/3 + s. What is the highest common factor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.41645 - -0.01355. Which is the closest to w?  (a) 2  (b) -0.2  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/12948 and 9\/14276.\nAnswer: 556764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -7  (b) -1\/7  (c) 706\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 412587?  (a) -0.5  (b) 52  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**(-2)*t*t*t**6*t**(-5)*t**(-6) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 51109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + 44. Suppose -2*o = 3*o - c. Let m(t) = t**3 + 2*t**2 + 3*t - 3. What is the remainder when m(2) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 329 and 130895?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -8*l + 40. Let f be k(5). Solve f = -2*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3*r**2. Let q(a) = 1. Let x(m) = -1. Let n(g) = 2*q(g) + x(g). Let y(h) = 25*h + 125. Let p(w) = 125*n(w) - y(w). Give z(p(i)).\nAnswer: 1875*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/6)\/((-36)\/24)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -6*u + 4. Let i be (2\/3)\/(10\/(-105)). Let k(c) = c**3 - 8*c**2 - 9*c + 8. Let o be k(9). Let b(w) = -5*w + 5 - o*w + 8 - 4. What is i*f(s) + 3*b(s)?\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 490507 + -5?\nAnswer: 490502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.3 * -19966.\nAnswer: -25955.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -36 - (46 + -15 + -26).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13418189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6130)\/115 - 10290\/(-7889)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = 15*o - 24, 4 = 72952*o - 72949*o - w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -849 + 413. Suppose -j = -3*j + c + 2767, 6910 = 5*j - 5*c. Let k = t + j. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w - 114 + 18 = 0. Let x = w - -29. Solve -4*m + n - x = -5, m = -2*n - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 3*y**2 + 14*y - 1. Let w be l(-5). Suppose 3*h + w = 19. Suppose h*q = 5, 20976 = 8*c - 3*c + q. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 52426001 to the nearest integer?\nAnswer: 7241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1456 and 0.12?\nAnswer: -174.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(1\/(6 - (-700)\/(-8))). Let f = y + 235. Calculate the remainder when f is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 10:45 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7231*l + 7220*l + 1386 = 0. Calculate the remainder when 1258 is divided by l.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t - 1. Let f(s) be the first derivative of s**5\/15 + s**4\/24 - 3*s**2\/2 + 4. Let m(q) be the second derivative of f(q). Let u be m(1). Give v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.13*-4.\nAnswer: 4.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (a + 2*a + 0*a)*(1 + 0 - 2)*(-8 + 1 - 11)*(3 - 3 - 1)*(-a + 3*a + 0*a) as j*a + k + x*a**2 and give x.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80298 + 81694 = 1396*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/(-345) + 6\/69.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -15*g - 2 + 0 - 2 - 1 + 7. Let t(r) = r. What is j(t(q))?\nAnswer: -15*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 7*h = o - 287, 4*h + 2*o = 382. 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: Suppose -17*b = -12*b - 25. Solve -b*y + 18 = 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 74\/259 - ((-61)\/7 - -1). Let l = -4 - -12. Calculate the greatest common factor of l and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12235313 (base 6) to base 15.\nAnswer: 7ba90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -5*o**3 + 2250*o**2 - 1965*o - 125720 = 0.\nAnswer: -7, 8, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 33855571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 433\/1043 - -2\/149. Suppose -52 + 57 = -5*q. Let l = -2 + 3. What is the nearest to q in -1\/4, s, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 157537 and 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -156646426*f + 5*f**3 + 156646426*f.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3*k**2 + 0 - 437\/3*k.\nAnswer: -k*(k + 437)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -303 + 302.7. Let i be 4\/(-22) - 155\/55. Let x be (-2)\/10 + i\/60. What is the third biggest value in s, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -1953912.\nAnswer: 7815648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23029 - -23029. Solve -44*t + 46*t = v - 8, i = -5*t - 25 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 22*a - 70. Let g(y) = -15*y + 48. Let l(p) = -7*d(p) - 10*g(p). Determine l(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.096 * -0.1.\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*o**3 - 22*o**3 - 34*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of -z**3\/3 + 3*z**2 + 10*z - 1. Calculate the lowest common multiple of 11 and j(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (20\/(-6))\/(8 - 168766\/21099). Let c = x - -4628. Round c to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 2*p**2 + 1. Let g = 12 + -10. Let u be v(g). Let d(r) = 1 + 13852*r**3 - 27704*r**3 - 2*r + 13843*r**3. Give d(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y + 2*m + 23, -14 = -5*y - m - 3. Let q = y - -57. Calculate the highest common factor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2844020 is divided by 189591?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 18\/12 + (1 - -2)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 80 + -67. Suppose -8 = -9*y + r*y. Find the common denominator of -41\/8 and -4 + (y - -4) - (-128)\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 2 a when four letters picked without replacement from {l: 9, a: 9}.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 435 - 431. Is 0.24 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 123467.\nAnswer: -123465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4308 divided by -4.\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9\/112 + -5871\/112. Let c = -6 - y. Calculate the common denominator of c and 83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/13, -140805, -5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -103, -125, -147, -169, -191?\n\"Answer: -22*w - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -301202 - -4?\nAnswer: -301198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + 2*q - 19198, 3*d + 10*q = 5*q + 11515. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 387876*y**3 + 2501678 wrt y.\nAnswer: 1163628*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 - 9 - 9)*(4*r**5 + 4*r**4 - 4*r**4).\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -58*g**3 + 46*g.\nAnswer: -348*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 times 1.094?\nAnswer: -6.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6961896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 131230 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2 - 591*j.\nAnswer: 3*j*(j - 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -14*i**3 - 2*i**2 - 9*i + 6. Let d be r(3). Let z = 166 - d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.086 from -0.42.\nAnswer: -0.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64537*g**3 - 14667*g**2 + 14667*g**2.\nAnswer: 64537*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**4 - m**4 + 4*m**4)*(-4*m + 4*m - m) - 5*m**5 + 4*m**5 + 0*m**5 + 2*m**5 + 0*m**5 + 0*m**5.\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f + 8 = -5*f. Let v be 1\/f*-10 - -10. Solve 4*r - 22 = 2*h - 0*r, -v*r = 4*h - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -218 - -324. Suppose 3*j = j + q. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 170 divide 3893433655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 1158*p - 2*p**3 + 124*p**2 + 198*p - 271*p**2 + 148*p**2 in the form b*p**2 + i*p**3 + d + a*p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2630*o**2 + 24*o - 8. Let h(a) = 877*a**2 - 9*a + 3. Give 8*h(v) + 3*t(v).\nAnswer: -874*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000038859 rounded to 7 dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b**3 - 4*b**3 - 41*b - 16*b.\nAnswer: b**3 - 57*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -6. Let x be ((-18)\/15)\/(-6) - (-276)\/20. Solve h - x = m*t, 0*h + t + 7 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + (-70)\/49*-7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 360947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 9. Suppose -2*w - 10 = 5*l - 47, 0 = -5*l - g*w + 40. Let j be l + (3 - (3 - 1)). Solve -5*o - j = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 56, 121, 220, 371, 592, 901?\n\"Answer: 3*c**3 - c**2 + 47*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1*-2*(sqrt(80) + (sqrt(80) + sqrt(80)*-4)*-3) + 0)**2.\nAnswer: 160000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 18381 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -1734*p - 14675. What is b(-8)?\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 344*j**2 - 2*j - 1. Let s be d(-1). Let x = 179 - 26. Let v = s - x. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -10, 4, 43072.\nAnswer: -10, -4, 4, 43072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 10b08 (base 14) to base 4\nAnswer: 21322010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 8) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/10 and 21\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 4*h + 24, 2*g - 2*h = -9 - 9. Let p = 12 + g. Which is smaller: 1\/6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*f - 2*f**2 + 22*f)*(3*f**2 + 2*f**3 - 3*f**2).\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 20  (b) 1\/2  (c) -1\/64  (d) 2  (e) 4\/1447\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5715, -5715, -5719, -5727, -5739?\nAnswer: -5755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7108553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 27*a**2 + 721*a + 19410. Give x(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/2)\/(-2*2*26\/(-3120))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 11 = 31. Let f be -2 + (3 - 0) - -11. What is the remainder when w\/((f\/(-52))\/(-3)) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1341 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 25740 and 17640?\nAnswer: 2522520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1532 is divided by (-18)\/12 + (-7)\/2 + 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -996 + 2*y + 3837 - 999 - y - 1842.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -1844\/3  (c) 1  (d) -5  (e) -221  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1590707 a multiple of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x**2 + 6*x + 24. Let t be w(7). Let q = t - -87. Suppose q*a - 24 = 2*a. Solve -u - a = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/44 + -7 + 7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j**2 - 4272*j - 7. Let z(k) = -2*k. Give z(x(q)).\nAnswer: 4*q**2 + 8544*q + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.12  (b) -1  (c) 0.3  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - 140\/7) + (-138)\/(-27).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of -t**6\/240 - t**5\/60 - t**4\/12 - 3*t. Let b(l) be the third derivative of v(l). Differentiate b(n) wrt n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 340\/13 or 26?\nAnswer: 340\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l**2 - 1 + l - 2*l**2 + 6*l)*(5 + 2 + 1) to the form i*l + o*l**2 + z and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 9) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v*v**(-1\/2)*v*v)\/v)**(-4\/25)*v**0\/(v\/(v*v*v*(v*v\/((v*v**(-1\/7)*v)\/v)*v)\/v)*v))**40 assuming v is positive.\nAnswer: v**(488\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -2. Let a be (h + -1)\/1 - 16. Let u be 76\/10 + a\/25. Solve 4*v + 5 = -u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(5\/4)\/k*k\/(k**(1\/51)\/k*k))**(-27) assuming k is positive.\nAnswer: k**(-2259\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9463.824 hours to seconds.\nAnswer: 34069766.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 16\/32 + 184\/(-16)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -125 by -16.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 144 = -2. Suppose j = 4*v - 3. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b**2 + 3*b - 3*b. Let f(n) = -6*n**2 - 65*n + 13. Let k be f(-11). Let o(x) = 11 - 11 + 150*x**k - 156*x**2. What is h(o(z))?\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add -415 and -570.72.\nAnswer: -985.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 764594 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -5*r + 10*r + 0 + 2 - 4. Let n(h) = 14*h - 5. Let k(p) = -17*f(p) + 6*n(p). Determine k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*z + 28*z = 42. What is the hundreds digit of (-3)\/z*(-1534 - 16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9)\/(-2)*(-2412)\/(-27). Let h = v - 512. Is h at least -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4485\/20)\/(1\/((-56)\/(-21))). Let n = h - 593. Let b(m) = -m + 7. Let p be b(5). Solve 4*g - 5 = -n*q, -p*q = -q + g - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.3 and -81762645076.\nAnswer: -81762645076.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(75) + 0)*1 + 4.\nAnswer: 8 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 445516786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 12651 (base 7) in base 13?\nAnswer: 172b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24593815 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4089)\/4935 - (-18)\/45)\/1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0*n**5 - 8*n**5 + 4*n**4 - 4*n**4 - 8*n wrt n?\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, e: 3, k: 6, t: 2}. Give prob of picking 4 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-2*sqrt(75)*3 + (-6*(1 + sqrt(75)) + sqrt(75) + sqrt(75) - (0 + sqrt(75) + sqrt(75) + 5 - sqrt(75))))**2 + -2.\nAnswer: -770*sqrt(3) + 3794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3*u**2 - 14*u - 2. Let x be o(-4). Put x, 4, -4 in ascending order.\nAnswer: -4, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 - 1. Let k(v) = -57*v**2 + v + 6. Let s(y) = -k(y) - 5*w(y). What is the units digit of s(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -319 - -315. Let o = -6 + 25\/4. Let f(j) = j - 2. Let h be f(4). What is the closest to o in 1, h, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -96540.576 to the nearest 1000.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 915 at most as big as 915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -101*q. Let k(r) = 2*r. Determine u(k(j)).\nAnswer: -202*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -48600*x + 0*x**4 - 6*x**4 + x**4 - 119845 - 5940*x**2 + 9898 - 290*x**3 - 6693 = 0. What is x?\nAnswer: -18, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (25\/30*3)\/(1\/250). Let f = j + -340. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1613?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 12:03 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-122)\/8 - 4\/(-16). Let k = 15 + y. Let 3*m + k - 3\/2*m**2 = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 32352 - 22129. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1779 is divided by 372.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -3*j + 18, 0 = 2*j + 14 - 4. Suppose -5*s + 169 = -4*v, 2*s - 94 = -s - 5*v. Calculate the greatest common factor of m and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -4*b**3. Let s(t) = -t**3 + t. Give s(l) - u(l).\nAnswer: 3*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/(-3564)*-9*28\/(-8)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12\/(-9)*(-90)\/1. Suppose 0 = 7*v - 2*v - p. Suppose 0 = -6*h + 3*h + v. Solve -j - j = -h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p = -3*p + 20. Let n = p - -7. Suppose 2*l + n*l = 68. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 15 + -3c8d?\nAnswer: -3c78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -274*c - 500*c - 17028 = 0 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280 = -5*g, 0 = -302426*i + 302424*i - 3*g - 176 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*c**4 + 657*c**3 + 1209*c**2 + 555*c - 225 = 0. What is c?\nAnswer: -3, -5\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 1:53 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 10:14 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1061717663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -2*i**2\/7 - 434*i + 255840\/7 = 0.\nAnswer: -1599, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3*v + 3 - 2 = 0, 4*v - 8 = 0. Suppose -m*q = 0, 1479 + 4997 = 4*u + q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 + 22*i + 131. Determine l(25).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 4*q - 4*s, 4*q - 4*s - 36 = -2*s. Is q + -1*(-1)\/(-1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + y - 20 = 0. Let k be -2*2\/(-4) + y. Let t(q) = -2*q**3 + 84*q**2 + 120*q - 8282. Let g be t(41). Sort -3, -2, g, k in ascending order.\nAnswer: k, -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 517*u - 1562*u + 56187 = 7072 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54\/(-35)*((-161537)\/(-603) + -268).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -561353, -2245417, -5052193, -8981681, -14033881, -20208793?\n\"Answer: -561356*l**2 + 4*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117)\/sqrt(144) + -5 + sqrt(13) + 1 + (sqrt(832) - (6*(-1 + sqrt(832)) - sqrt(832))).\nAnswer: -123*sqrt(13)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2579467512 to five dps.\nAnswer: 0.25795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2176 - 349. List the prime factors of b.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -408 + 225. Let l = 186 + w. Solve -l*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -0.3, 37.29, 286 in descending order.\nAnswer: 286, 37.29, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 3\/2, 3633\/4, 3, -1\/22, -10, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + -a1482?\nAnswer: -a1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 - -17. Solve -b = 4*h + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 872753082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + 3*z - 13, 2*x - z = -1 + 2. Suppose 0 = -x*a - 0*a + 4. Suppose 10*c = a*c + 168. What is the remainder when 60 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 - 400.89736.\nAnswer: -407.89736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -971024 divided by 8.\nAnswer: -121378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of 2*b**5\/5 - b**3 - 29*b. Let t(s) = 8*s**3 - 5*s. Determine -5*d(h) + 6*t(h).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -1.636\nAnswer: 0.4908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 836372931.\nAnswer: 3, 1193, 233689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1173*y = -657*y - 690*y - 2520 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-7)\/7)\/1)\/(1\/6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/13)*r\/(r\/(r**(1\/12)*r)))**(-37) assuming r is positive.\nAnswer: r**(-7141\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1111*h**4 - 23404*h + 4?\nAnswer: -13332*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 12:05 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1\/4)\/n)\/(n*n\/((n**(-2)\/n*n)\/n))*n**(-5)\/(n\/n**(-2\/7)*n*n))\/(n\/(n*n\/(n*n**3\/n)*n)*n**6)**40 assuming n is positive.\nAnswer: n**(-8247\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-6) + (-4)\/24. Let x(r) = -r + 2. Let o be x(l). Suppose 0 = -o*i - 5*u + 113, 0*u = -i + 2*u + 43. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 - 7*u - 5. Let b = 21 + -13. Let s be a(b). Solve s*r + 6 = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1527 - -330206?\nAnswer: 326457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3211361 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -3*s - 10. Let b be t(-5). Suppose 0 = -3*j + 4*j - 4. Suppose 0 = 2*z + 2*x, -j*z + b*x - 3*x = -18. Which is smaller: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1235 and 1045.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 517718.\nAnswer: 2, 17, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 - 3*j**2 - 5*j + 1. Let a be -4 + (-5 + 3 - -2). Is 15 a factor of i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -4 + (sqrt(35)\/sqrt(5) + 5)**2)*-1 - ((sqrt(189)\/(sqrt(9) + sqrt(81)))\/(-4*sqrt(3)*4 + sqrt(3)))**2.\nAnswer: -108007\/3600 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(0 + sqrt(5)) + (sqrt(5)*4 - sqrt(5))*5.\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 133022 - 1?\nAnswer: 133021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*j**2 - 5336 - 15*j**2 + 5337 - 18*j**3 to r*j**3 + h + x*j**2 + v*j and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 31279092, 62558184, 93837276?\n\"Answer: 31279092*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1374 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-144)\/(-22) + 180\/(-330). Solve -d*x + 11*x - l - 8 = 0, 12 = -3*x - 5*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -892802, -1785600, -2678406, -3571220, -4464042, -5356872?\nAnswer: -6249710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gwgwgwgg. Give prob of picking 2 g and 1 w.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28*m**2 - 125*m**2 - 109*m**2 - 895*m**2)*(0*m**2 - 4*m - 3*m + m**2).\nAnswer: -1101*m**4 + 7707*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/16)\/((-2)\/(-16)). Let j(i) = i**2 + 8. Let w be j(6). Suppose -28 = -r*o + w. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 4*u - 10, u + u + 14 = -5*t. Let i(c) = -c**2 + 3*c - 1. Let x be i(2). What is the smallest value in t, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -272, -232, -172, -86, 32, 188?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 536, 534, 532, 530, 528?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/5  (b) 0.7  (c) -2818  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d + 8. Let r be ((-3)\/(-6))\/((2\/88)\/1). Let u = -14 + r. Calculate g(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 15*w. Let x(k) = -5*k + 8. Let y(h) = -h + 2. Let b(q) = -x(q) + 4*y(q). Determine 22*b(f) - 2*z(f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 6 + -6 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 6*l**2 - 12*l - 17. Give u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (0 + 9 + 2 + (113 - 118)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of u**5 + 12*u**4 - 156546*u**3 - 2192*u + 49523 wrt u?\nAnswer: 20*u**3 + 144*u**2 - 939276*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 324 and 21600?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of f**5\/10 + 14*f**4\/3 + 53*f**3\/6 - 33*f**2\/2 + 195*f. Let s be g(-27). Let z(o) = o - 8. Determine z(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9979 = -172*q - 92*q - 2957 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s - 5. Let y be r(-5). Let u be (-2 + 1)*(-1 - -1). Let t be (-3)\/((-9)\/(-2)) - u. What is the biggest value in y, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 5*j**2 - 66*j + 6. Let s be v(13). What is the remainder when (s + 10)\/(2\/42) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -1\/7, -0.1, -2, 0.4, -240\/29?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-12)\/(-108))\/(2\/24). Let s = -21 - -13. Let d be s\/170*5\/2. Which is the closest to -1?  (a) d  (b) w  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -1 - (-14 + 23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 371 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/2*((-168)\/(-8))\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from eeeqgageezyzazezge?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18593593?\nAnswer: 61, 304813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2204*w - 13212. Give t(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 46951 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -45207207 divided by 5\nAnswer: -45207207\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 47*z**2 - 203*z + 70. Let v be x(40). What is the greatest common factor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2412 by -201.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of -37*h**3\/3 + 2*h**2 - 2*h. Let f = -21 + 12. Let m be i(f). Round m to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1551622*z = 1551624*z + 4*x - 12, -3*x + 24 = 4*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 274 in -1, -27, -11.84?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -19, -0.104 in decreasing order.\nAnswer: 0.1, -0.104, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -2*h**3 - h**2 + 2*h + 1. Let q be j(-2). Solve f + q = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 4955*t. Let l(a) = a**2. Calculate c(l(h)).\nAnswer: 4955*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11011211022000 - 1?\nAnswer: -11011211022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d, d + 73862 = 4*w - 15466. List the prime factors of w.\nAnswer: 2, 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x + 7. Let s be w(-5). Suppose 8*i = 9*i - 1. Let d be (1 - 21)*i\/10*4. Put s, d, 1 in ascending order.\nAnswer: d, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2db0 - 6?\nAnswer: 2da8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, a: 7}. Give prob of picking 1 a and 1 r.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 15 = 3*g - 2*p, -5*p - 9 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 194203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1591*a - 1591*a - 7*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155 = -17*f + 134. Suppose -580 = -2*v + 4*x, -19*v - 3*x = -f*v - 559. Is v a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2366*p**6 + 40*p**3*z + 2*p**2*z + p**2 + 82*p*z - p - 1229 wrt p?\nAnswer: -283920*p**3 + 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12724 is divided by 82?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -8*x**2 + 6*x. Let q(u) = -9*u**2 + 7*u. Let v(w) = 7*c(w) - 6*q(w). Let m(l) = 4*l. Let a(j) = -7*j. Let d(o) = 3*a(o) + 5*m(o). What is d(v(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58253 is divided by 14527?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*r**2 + 0 + 1\/3*r.\nAnswer: r*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-83970)\/4354*(-12)\/45?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-1 + sqrt(2))*2)**2*6.\nAnswer: -48*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ngncfcggcgy. What is prob of picking 1 n, 1 g, and 2 c?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.29 - 0.290000346. Round h to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-4)*2\/(312\/130*10\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 67*k**2 - 62*k - 1 + 47*k + 52*k wrt k.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2*3\/4 + 2)*12. Let o be (0 - 1) + 16\/1. Solve 0 = 3*b - 7*b + 2*z + a, -5*z + o = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbdbbbbbd. What is prob of picking 4 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 210111220 (base 3) to base 9\nAnswer: 23456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of -r**3\/3 - 294*r**2 - 86436*r + 2082. Factor c(m).\nAnswer: -(m + 294)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l - 1. Let o be w(3). Suppose o*f + 0 = -5*n + 4, 2*f - 4 = -3*n. Let y = n + 4. Sort 5, -1, y.\nAnswer: -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: List the prime factors of 639.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 158 divide 49664762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-118 + 70 + 70)*(47 - 16 - 15 - 16 - 7*h).\nAnswer: -154*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -106*d + 75*d - 51*d + (d - d - d)*(0 - 3 - 3).\nAnswer: -76*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m + 24. Let o be z(16). Let t be 24\/13 - (-8)\/52. Suppose t*q - o = q. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 97*h**2 + 25*h - 29. Is v(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 24\/180 - 823\/(-15). Calculate the remainder when 111 is divided by (32\/(-5))\/((-22)\/y).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6021555 divided by 6021555.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 280236 is divided by 2016.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 135 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2*(2 + sqrt(99) + -5) + -1).\nAnswer: -25 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 152615 - 5?\nAnswer: 152610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = d - 6, -2 = -2*d - 4*g + 2*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 AM and 11:11 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-5)\/(-20)*23)\/(2\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(637) + 1*sqrt(637))*-3 - sqrt(637) - (-2*-2*sqrt(637) + sqrt(637)))**2 + -5.\nAnswer: 91723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**3\/9 + 134*x**2\/9 + 6274*x\/9 + 682 = 0. What is x?\nAnswer: -31, -1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-9))\/(14\/3 - (-10 + 13)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2611 - 499. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14 in -3466, 7, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 758 = 2*m, -m - m = -2*b - 764. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4357 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 805, 1617, 2419, 3205, 3969?\nAnswer: 4705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 5*j - 13. Let s = 15 - 9. What is the least common multiple of s and k(7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 - 1. Let o(k) = -k**2 + 5. Let u(c) = -2*c**2 - 1. Let y(r) = o(r) + 2*u(r). Determine 6*t(b) + 2*y(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 23224*b + 141. Is z(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*c + 4*h + 5, 20 = -4*h. Let b(z) = -2*z**2 + 14*z + 14. Suppose -6*q + 24 = -3*q. Let v(o) = -o**2 + 5*o + 5. What is c*b(x) + q*v(x)?\nAnswer: -2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*z**2 + 32*z + 581 wrt z.\nAnswer: -4*z + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, k: 4, s: 2, n: 2}. Give prob of picking 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1175*u**5 - 2*u**3*v - 27*u**3 - 4*u**2*v + 32636*u*v wrt u.\nAnswer: -70500*u**2 - 12*v - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of g**3*k**2 - 20*g**3 + 9*g**2*k**2 + 3*g**2*k - 10*g**2 + 3 wrt k?\nAnswer: 2*g**3*k + 18*g**2*k + 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -586771*t + 35571*t - 496612*t - 513687*t.\nAnswer: -1561499*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 384 + -381. Suppose 0 = q - 3*v + 7*v - 11, 63 = 3*q - i*v. What is the remainder when 68 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the third derivative of -r**6\/120 - 2*r**5\/15 - r**4\/8 + 9*r**3\/2 - 3*r**2 - 6*r. Let k be w(-7). Let j(c) = -13*c**3 + c**2 - 1. Give j(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 + 8*b + 4. Let c be q(-7). Does 11 divide 10 - c\/3*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 2, 1\/9, -5, -5.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.16 - -1541911.608.\nAnswer: 1541910.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -6*j**2 + 5*j - 5. Let w(g) = g**2 + g. Let n(t) = -t**2 - 10*t + 4. Let u(l) = n(l) + 6*w(l). Calculate -4*u(h) - 3*z(h).\nAnswer: -2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -283 = -8*u - 323 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 314287*q**2*u**3 - q*u**3 + 81112*u**3 wrt q?\nAnswer: 628574*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/4 of a week in hours?\nAnswer: 2562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8305006 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/34)\/(-3)*2. Let x = 21698 - 21698. What is the nearest to 0.2 in x, 1\/5, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 426, 428, 430, 432?\n\"Answer: 2*g + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-180)\/(-390))\/(56\/26 + -2). Let q(w) = -w**2 + 4*w - 1. Determine q(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a30 (base 11) to base 8.\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*x + 7*x + 14*x - 62*x + 6*x - 10*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 5:57 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21.85 - 21.9. Let y = -2176\/9 - -242. What is the nearest to y in w, 0.5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*p + 27*p = -47*p + 8208. What is the lowest common multiple of 57 and p?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1875 divided by -37.\nAnswer: 1875\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.04, -4067, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40050 - -674950. Round v to the nearest 10000.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**3 - 5*s**3 - 2*s - 5*s - 7. Let x(z) = 24*z + 1618. Let a be x(-68). Let w(r) = -r - 1. What is a*w(k) + 2*m(k)?\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -4*h**2 + 10*h - 1. Let s(k) = -2 + 0 - 3*k**2 + 6*k + 3*k. Let j(l) = 2*a(l) - 3*s(l). List the prime factors of j(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 277599.\nAnswer: 3, 7, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 30248 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 183  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r - 3*r + 0*r)*(2*r + 2 - 2) - 3824*r + 3824*r + 3147*r**2.\nAnswer: 3151*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = 14*j - 12*j + 11, -7*j + 0*j + 20 = 3718*i - 3716*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61107, 125058, 189009, 252960?\nAnswer: 316911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 162554 and 476.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*k**2 - 5*k**2 - 6370*k**3 + 437*k**3.\nAnswer: -5933*k**3 - 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 0 + 3 + 27 + -57?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (130\/104)\/(100\/1440)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 15*d. Let o(c) be the third derivative of -c**5\/30 - 43*c**3\/6 - 10*c**2 - 30. Give x(o(g)).\nAnswer: -30*g**2 - 645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 102667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -278*v**2. Let p(d) = 3*d. Give p(f(s)).\nAnswer: -834*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -372*d**2*p**2 - 4*d**2 - 2*d*p**2*q**3 + 2*p*q**2 + 53*q**3 wrt p.\nAnswer: -744*d**2 - 4*d*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, k: 2, p: 3, v: 4, l: 1}. Give prob of sequence vhph.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 26168000 rounded to the nearest one hundred thousand?\nAnswer: 26200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 2 q when four letters picked without replacement from cqccqcccqcccccc?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -393 + 397. Solve 2*f - 5*r + 3 = 0, 15 - z = -2*f - 3*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -2*r**2 + r - 3. Let i be q(0). Sort i, 20, 2.\nAnswer: i, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -401 + 22?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 80825.82 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*s = -34*s - 44. Solve 3*c + s = 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 250 divide 4766750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 9984, 9986, 9990, 9996?\n\"Answer: v**2 - v + 9984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -906.\nAnswer: -181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 461610 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 286791375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 AM and 2:52 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, i: 2, m: 10}. Give prob of sequence mp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/(-8 - -3) + 3. Suppose -3*o + 171 = x*m - 0*o, 3*o + 63 = 2*m. Suppose 4*n = -2*a + 158, -68*a + 173 = 4*n - 63*a. Do m and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 15) in base 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/((-5 - 0)\/5). Which is the closest to x?  (a) -2\/23  (b) -5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32438780 and 48658170?\nAnswer: 97316340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1004*r + 310*r - 11113 = -888*r + 103391 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40695265.\nAnswer: 5, 13, 29, 21589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gz when two letters picked without replacement from mzdngmb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -4*n + 45049, 11*p - 8*p = 9. Let t be 12\/(-54) + n\/45 + -1. Which is greater: 250 or t?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 28*j + 2. Let m = -7 - -10. Suppose 441 = 13*x - 131. Calculate the remainder when y(m) is divided by x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -367  (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**3 + 29*o**2 - 57*o + 44. Calculate l(27).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of u**8\/11760 - u**7\/2940 - u**6\/840 - 59*u**3\/3 + 28. Let x(q) be the third derivative of i(q). Suppose x(g) = 0. Calculate g.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 255 and 12666330?\nAnswer: 215327610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10 + 1 + (-10)\/(2520\/2779). Let y = -2 + 2.2. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 195886147 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (191485\/15)\/(1\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 928386958?\nAnswer: 2, 47, 151, 65407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**3 + 2485*h**2 + 828*h.\nAnswer: h*(h + 828)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -511956*s - 2964 = -512944*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-2*(819\/260)\/21)\/((-3)\/15)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from rqqqrqqrqrq?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -29 - -15. Let k(n) = -n**2 - 15*n - 8. Let r be k(b). Let v be 375\/9 - (-2)\/6. What is the highest common divisor of r and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3038 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 837 and 23157.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 459999127 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n = 34*n + 122*n - 1458 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is -100010100110 (base 2) in base 13?\nAnswer: -1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of r**8\/2520 + r**7\/840 - r**5\/360 - r**3\/3 - 3*r. Let z(a) be the second derivative of j(a). Find p such that z(p) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 220, 430, 640, 850, 1060?\n\"Answer: 210*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -568735 = -18*m - 9115135. What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16.4 - -26.5. Are 0 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 7 - 162 = 0. Suppose w - h = 8. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42915114 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 74856331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-35)\/9 + 5)\/((-25)\/(-30)) and 25\/(-27)*(-3)\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -34*y + 2. Let n(o) = 1300523*o. Determine s(n(x)).\nAnswer: -44217782*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = o + d, 4*o + 5*d - 24 = -12. Suppose n + 3*m + 68 - 389 = 0, o*n - 975 = 3*m. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(4*2*sqrt(425) + sqrt(425) - (sqrt(425) - (-1*sqrt(425) + sqrt(425) + -5)) - (sqrt(425) + (-4*4*sqrt(425) - sqrt(425)))*-4))**2 + -1.\nAnswer: 11200*sqrt(17) + 5331299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 8*d**2 - 17*d + 87. What is the tens digit of t(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-2) + -2 - -3*1. Suppose -3*t + 4*y + 1749 = 0, q*t - 7*t - 5*y = -2915. Is t a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -64.9 + 316.9. Let y = m - 251.99766. What is y rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1\/222 + -437\/1554. Let m = 31 - 36. Let o = -107 + 111. Which is the closest to 1?  (a) m  (b) v  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97341.78 milligrams in kilograms?\nAnswer: 0.09734178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -100100001011 (base 2) to base 5\nAnswer: -33230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 209811870 and 449889?\nAnswer: 2307930570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -530\/13 in -5, 5, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 28\/(-60) + ((-520)\/(-39))\/20. Let p = 5.9 + 2.9. Let w = p - 9. Which is the second smallest value?  (a) w  (b) r  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7*(4 + (-25)\/7). Suppose 3*i = -0*i - 5*l + 21, b*l = 9. Suppose -i*j + 52 + 10 = 0. What is the remainder when j is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -107, -48, 117, 442, 981, 1788?\nAnswer: 2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 + 24*y**2 + 12*y + 21. Let c be j(25). Let s = c + 307. Let m = 2 - 2. Solve 9 = -s*w - m*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10957376 divided by 2?\nAnswer: -5478688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 10*y + 2*y. Solve y = -7*h + 2*h - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-133)\/(-28)*(2 - -2). Let d be ((-95)\/(-10))\/q*(-2)\/4. Which is greater: -0.14 or d?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 2782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 92 + -69. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (136\/(-18))\/17 + (264\/(-189))\/(-4)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3708 - -3721. Calculate the remainder when 2610 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h + 3. Let s be y(3). Let j = s - 1. Let x(o) = o. What is the units digit of x(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 103 in decreasing order.\nAnswer: 103, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 12280 divided by -307?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*q**2 - 7*q**2 + q**4 + q**3 - 2*q**2 - 1 to o*q + k*q**2 + l*q**3 + n + h*q**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5414, -20804, -46214, -81644?\n\"Answer: -5010*o**2 - 360*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1544 + -1547. Let t be 6\/(-15) + (-8)\/(-10). Put b, 4, t, 0 in decreasing order.\nAnswer: 4, t, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 12 = -3*z, 5*b - 5*z - 20 = -10*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -60768, -244793, -552078, -982623?\n\"Answer: -61630*f**2 + 865*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j\/(((j**(-2\/7)*j)\/j)\/j)*j*j)\/j)\/j*j*j)**49\/(j**(-1\/2)*j\/(j**(-1\/9)\/j)) assuming j is positive.\nAnswer: j**(4633\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wauwu. What is prob of sequence ww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 AM and 10:30 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 23*y + 14. Let u(j) = 1. Let m(o) = l(o) - 4*u(o). List the prime factors of m(6).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00004610144 rounded to 7 dps?\nAnswer: 0.0000461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.080204 from -4.\nAnswer: -4.080204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24.5 + -4.5. Let l = 20.31 - n. Round l to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(-3) + 1 - -5. Let d(a) be the third derivative of a**5\/30 - a**4\/8 + 6*a**2. What is the units digit of d(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 129*y**3 - 4*y + 2*y**2 - 47*y**3 + 131*y**3 as g*y + b*y**3 + p + l*y**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 4210396*t**2. Let c(a) = -a**2. What is c(m(f))?\nAnswer: -17727434476816*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -17*n**2 - 8*n - 50. Let o(m) = -18*m**2 - 10*m - 51. Determine -4*o(f) + 5*x(f).\nAnswer: -13*f**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 7*y**3 - 3*y**2 - 7*y - 3. Let w(n) = 36*n**3 - 16*n**2 - 36*n - 16. Let b(c) = -3*w(c) + 16*x(c). Find the second derivative of b(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -5*h + 68. Let g be u(10). Suppose i = -4*i - 3*z + 30, i = -3*z + g. Solve 5*t - 37 = -4*v, 5*t - 20 = i*v - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 152, 5, 569366, 3 in decreasing order.\nAnswer: 569366, 152, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 4 = 4. Let b(p) be the third derivative of p**6\/30 - p**5\/60 - p**4\/12 - p**3\/3 - 10*p**2. Let f be b(-1). Put f, 0, u in ascending order.\nAnswer: f, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 5*j - j - y, -2*y - 6 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6035 and 10?\nAnswer: 12070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Total of -54 and 108.7538.\nAnswer: 54.7538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23621*d*j**5 - d*j**2 + 3*d*j + 7*d - 2*j + 319 wrt j?\nAnswer: -472420*d*j**3 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 153743082.\nAnswer: 2, 3, 1789, 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6 or -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 42 = b - 3*n, -82 = -5*b - n. Solve 0 = 18*m - b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -3*y - 2*y + 56, -5*a = -2*y + 4. Suppose -3*h + y = 0, x + 5*h - 86 = -4. Suppose 0 = -5*q + 742 - x. Is q a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -u - 10. Let d be 2\/((-2)\/(-6 - u)). Solve 4*r - 2*y - 4 = 0, d*r + 5*y - 3*y - 20 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*s - s - 4*s + (2*s + 4*s - 4*s)*(12 + 31 - 10).\nAnswer: 65*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 19 - 36 = 5*k, -4*k - 24 = -2*l. Solve -5*p - 30 = -0*r - r, 0 = 2*p + l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 32\/7 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 373*u**5 - 388*u**5 + 11*u**2 + 0*u**2 wrt u?\nAnswer: -900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/73, -0.2, -5, -2, -1\/14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*r**2 - 100 + 0*r**2 - 2*r + 100 to the form s*r + i*r**2 + l and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10437*l*r - 2*l + 26310*r wrt l.\nAnswer: 10437*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 1, 7\/3, 0.3, 18, 59, 0.1.\nAnswer: -15, 0.1, 0.3, 1, 7\/3, 18, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, c: 1}. Give prob of sequence bb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 51*b**2 - 366*b - 13. What is i(6)?\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 2.1?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 538 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 128435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhtht. Give prob of sequence tht.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.3496 - 3.2496. Sort m, 5, -150\/29.\nAnswer: -150\/29, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 - -2. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*l**3 - 16*l**3 + 16*l**3 + (-l**2 - 2*l + 2*l)*(-8*l + 3*l + 3*l) - 2*l + 3*l**3 + 2*l - l**2 - 2*l**3 + l**2.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**2 - 154403757*b + 154403754.\nAnswer: 3*(b - 51467918)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1593 - -1601. Let c(f) = 2*f**3 - 16*f**2 + 15. Determine c(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2526*f**5 + 12*f**2*t - 2*f*t + 39*f + 20618*t + 1 wrt f?\nAnswer: -50520*f**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -543 - 639 = 38*i - 1106 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**3 + 3*b**2 + 2*b + 1. Let x be z(-2). Suppose -105 - x = -5*l. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {k: 2, g: 4, r: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -8*d**3 + 5*d**2 - 3*d + 5. Let g be k(4). Let p = 133 - g. What are the prime factors of (p\/55)\/(4\/10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010000100101 - -1?\nAnswer: 1010000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2\/5 - 2204*u\/5 - 607202\/5.\nAnswer: -2*(u + 551)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*1\/(-2)*-56834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2645 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -10. Let f(u) = -u**3 - u**2 + u. Let d be f(0). Solve -c*a = -2*w - 12, 2*a - 6 = 5*w - d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.1 + -2.5. Let p = 1.2 + s. Put -6, p, 5 in increasing order.\nAnswer: -6, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9148 less than or equal to 9147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 3*t + 29 = 0, d - t - 5 = 4*t. Put 4, d, -5 in increasing order.\nAnswer: -5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104743?\nAnswer: 104743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.19812 - 678.39812. Round r to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 156*v + 472. What is p(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 153 = -5*i + 3, 2*d - 2*i = 100. Suppose 3*c = 128 - d. What is the greatest common factor of 39 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -146 + 150. Suppose q*m - m = 204. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 12) to base 16\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -622 + 947. Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2730274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 14) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3 + sqrt(117)*1)*3.\nAnswer: -36 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 25 = 5*c, 3*n + n + 20 = -4*c. Suppose -4*k + 5*k - 6 = n. Let u be (k - 1)\/((-1)\/(-1)). Put 2, -2, u in increasing order.\nAnswer: -2, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 271 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 6, l: 1, y: 3, t: 5}. What is prob of sequence tt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7 + -5 - (52 + 3). Let f = -26 - r. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*g**3*y**2 + g**3 + 21*g**2 - g*y**2 + 2*g*y + g - 308*y**3 wrt y?\nAnswer: 12*g**3 - 2*g - 1848*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 11 - 27 = 0. Suppose -3*w = -f*w + 31. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1203101122 - -11?\nAnswer: -1203101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)\/(sqrt(400) - (sqrt(400)*-1 - sqrt(400))).\nAnswer: sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -79, 7, -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 21*f - 15. Let k(h) = -3*h + 2. Let a(y) = 2*i(y) + 15*k(y). Let b be a(-1). What is the highest common factor of 12 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 41545 and 15.\nAnswer: 124635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-3*(-3*sqrt(110)*-4 + sqrt(110)))\/(sqrt(90)\/(-1*sqrt(9)*3)*3).\nAnswer: 156*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 3 + 4 + -5 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.0989 - -0.1011. Which is the closest to 0?  (a) -3  (b) g  (c) -26  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 4  (c) -11  (d) 5\/3  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/(-3) - -3)*-2. Let m = -2 - a. Suppose m*x = x. Is -3 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(1\/13)*m**10\/m assuming m is positive.\nAnswer: m**(118\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*v**2 + 33 - 64 + 35 in the form w*v + i*v**2 + o and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -43060237 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjt when three letters picked without replacement from tjjjujxt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-3 + 6)*(-4 + 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (28 - 2 - 6)*(3 + 4 - 6)*(-i**2 - 2*i**2 + 4*i**2) in the form p*i + h*i**2 + b and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13547 + -2?\nAnswer: 13545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1984076 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44) + 1)*-3 - (sqrt(396) + sqrt(396)*-2 - -2*sqrt(11)*-1).\nAnswer: -3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -11*c + 13. Let m = -2 - -12. Suppose -37 + m = -c*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.83374 + -0.2\nAnswer: 0.63374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 92*z. Let u(k) = -2*k - 1234861. Calculate u(n(y)).\nAnswer: -184*y - 1234861","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 15132.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -36110 from -8.0777.\nAnswer: 36101.9223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -379*s = 68*s + 321*s - 6144 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141*o - 309 + 1053 = -243 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 896133853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 h when four letters picked without replacement from opooophooooooooopooo.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -38 times -14\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3\/2  (b) -5  (c) -2  (d) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 12:55 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/3)*i)\/i**(3\/7)*i**(-3\/2)\/i**(2\/9))\/(((i*i**7*i)\/i)\/i**(2\/5))**(4\/17) assuming i is positive.\nAnswer: i**(-24337\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 572793 is divided by 272?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2150 - -4392. List the prime factors of z.\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -628.75103868919 minus 6?\nAnswer: -634.75103868919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of -s**4\/6 - 4*s + 153. Let r(o) = 6*o**2 + 24*o. Give r(k(d)).\nAnswer: 24*d**4 - 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 240 and 16031520.\nAnswer: 16031520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 20030000 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 1\/1403, -2, 0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -5*(-2 - (2 + -5)). Let j = -7 + 3. Let x = j - -3.5. What is the nearest to 1\/3 in x, h, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 PM and 10:00 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 * 0.0694.\nAnswer: -0.4164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5076.53 - 4684.6. Let d = p + -394. Round d to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -12 - 12\/((-19440)\/19310) and -149\/540.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3928647607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 35051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -547 + 423 + 4 + -1?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -4619814\nAnswer: -4619814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of 3*j**5\/40 + 7*j**4\/24 + 16*j**3 + 34*j**2 - j. Let a(f) be the first derivative of s(f). Calculate a(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*g - 66*g = 0. Suppose -4*u + 2*c = -189 + 21, 4*c = -u + 24. Calculate the lowest common multiple of u and 48\/6 + (1 - (g - -1)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4*c = -11, c = 2*u + 5 + 6. Let b be ((-4)\/8)\/(2\/8). Let a be 1 - (-1)\/(-2)*b. Sort -2, a, u in descending order.\nAnswer: a, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101161 (base 7) to base 14\nAnswer: -63d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3*(-2)\/4)\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 3*a - 2*s = 102, 3*a - 5*s + 96 = 0. Let o be 3\/(a\/(-15))*3. Suppose 7 = -3*w - 8, -o*w - 110 = -5*x. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - (-1 - -3))\/(-2). Let k(y) = -y - 8. Suppose -21 = 5*z + 24. Let v be k(z). Is m at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 55 - 33 = 0. Let h be (-8)\/a - (-40)\/(-22). Let j = h + 33. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1546062 and 47208.\nAnswer: 6184248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9111 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 10399791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/6 and -109\/47260926?\nAnswer: 47260926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 38983127893567 take away -0.5?\nAnswer: 38983127893567.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(625) - sqrt(625)) + sqrt(625))\/(1*sqrt(245))*3)**2.\nAnswer: 1125\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 2*f + 2*f - 36 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x**(-1))**(-1\/12) assuming x is positive.\nAnswer: x**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 14218 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -13*c**2 + 584*c - 61. Calculate f(45).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28370 + -28377. What is the closest to t in 0.6, -2\/17, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3265 - -7251?\nAnswer: 10516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -937*l**2 + 2*l. Let u(f) = -118*f + 1. Give u(d(z)).\nAnswer: 110566*z**2 - 236*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/23 and 210 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:31 PM and 11:20 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 - 22 + 50 = -2*v. Put 56, v, -5, 5 in descending order.\nAnswer: 56, 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + 5*t - 9. Let q be d(-7). Suppose k - 2*k + q*m - 25 = 0, 3*m - 15 = -2*k. Suppose -9 = 4*v - 1. What is the nearest to v in -1, k, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -849899675 and -0.3?\nAnswer: 849899674.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9 - -9865?\nAnswer: 9857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 807 - 45?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -20613?\nAnswer: 2\/20613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -63459a (base 11) to base 14\nAnswer: -1c6507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 9464814 times 5\nAnswer: 47324070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1110 + 2122?\nAnswer: 11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13 and 871.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1680 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 9*v + 7. Let w be k(-7). Let f = w - -130. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*k + 5*k - 6*k.\nAnswer: 27*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yfffyyfdfyfvflyfy. Give prob of sequence vyy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 50 - 27. Suppose 4*b + 71 = 3*f, -5*f + 118 = -5*b + 33. Let d = u + b. What is the lowest common multiple of 5 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*j**2 - 3 + 5 - 4*j**2 + 3*j**2 - 4*j**2 - j**2 + (3*j + 3 - 3)*(-2*j + 2*j - 6*j) + 4*j**2 - 2*j**2 - j**2 in the form c*j + b*j**2 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1716943, -3433883, -5150821, -6867757?\n\"Answer: l**2 - 1716943*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 5*h**2 - 5*h + 13. Let n be c(-6). Let b be (-79)\/7 - 1\/(n\/(-2)). Which is greater: -8 or b?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -28155 or -28159?\nAnswer: -28155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -4 + 4 + 2 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.7307701km?\nAnswer: 73077.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8217677021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148607 is divided by 3078.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, -17, 2.\nAnswer: -17, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5\/(210\/12))\/(5\/70). Solve -6*c + 5*c = 3*i - a, -5*i + 10 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3*t = -88, 3*t - t = -2*u + 84. What is the remainder when u is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3. Let h(g) = g - 9. Let t = 19 - -2. Let c be (-1)\/(-2)*6*(-14)\/t. What is c*h(u) + 7*i(u)?\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5 and -4.9.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 475\/100 - (-3)\/(-4). Factor 163*d**3 - 67*d**3 - 4*d**5 + 7*d**x - 19*d**4 - 80*d**3.\nAnswer: -4*d**3*(d - 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of q**5\/20 - 2*q**4\/3 - 4*q**3\/3 + q**2\/2 + 6*q. Let o be c(9). Solve 6*m = m - o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1788 and 582706816.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2368 - 24054?\nAnswer: -21686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 54 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/((-121)\/176) - (-1001)\/(-52))*24.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a06eea - -1?\nAnswer: a06eeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 5*z = 593 - 613, 23*z = 5*j + 92 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y = -5*d - 4*y + 352, -2*y = d - 68. Suppose -2*k = 5*g - 13 - 31, -4*k - g = -d. Suppose -k - 61 = -2*s. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 111, 465, 1069, 1935, 3075, 4501, 6225?\n\"Answer: 2*f**3 + 113*f**2 + f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in three halves of a century?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -61688, -61686, -61684, -61682, -61680, -61678?\nAnswer: -61676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(2\/7)*p)**(-2\/53))**(-7\/10) assuming p is positive.\nAnswer: p**(9\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -2*u - 5. Let o be v(-5). Suppose -o*c = -c. Suppose c = 7*x - 12*x + 120. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2*(-69)\/3)\/2. Let w = 6 - -7. Let h = d - w. What is the least common multiple of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-5)*g**(3\/5))\/((g\/g**(2\/7))\/(g**(-9)\/g))*g**(1\/4)\/g**(-5)*(g**(1\/5))**(-20) assuming g is positive.\nAnswer: g**(-401\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - 14. Let o(a) = -5*a**3 - 6*a**2 - 3*a - 10. Let s be o(c). Round s to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 15. Let f be (5 + -4)*(r + -2). What is the tens digit of (57 - 4) + f\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(40)\/(sqrt(32)\/((sqrt(100) + sqrt(4) - sqrt(4) - sqrt(4)) + sqrt(4))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1202 (base 10) to base 11.\nAnswer: -9a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.2 + 1. Suppose -9*j + 110 = 2*u - 4*j, 0 = -4*j - 16. Let z be 377\/u - (-3)\/(9\/(-12)). Which is the nearest to q?  (a) 0.3  (b) z  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-3 + -6 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**2\/7 - 2647226*a\/7 + 2647228\/7 = 0 for a.\nAnswer: -1323614, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -394362742, -394362740, -394362738, -394362736, -394362734?\nAnswer: -394362732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**3 - 67*m**2 - 97*m - 32 = 0. What is m?\nAnswer: -32, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 2235867\nAnswer: -8943468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of -21*d**2\/2 - d - 1. Let j(t) = -6*t**2 + 2. Let i be j(1). Is c(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 67 = q, q = 5*o - 99 - 26. Let d be (24\/27)\/(2\/o). Let v = 11 - d. Which is bigger: v or -3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v**5 + 9*v**5 - 76*v**5 + (0 + 2 + 0)*(0*v**4 + 0*v**4 - v**5).\nAnswer: -66*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 5*l + 65 = 0, l + 10 = -l. Let z = y - -29. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -5, 2, 1, 260, -3 in increasing order.\nAnswer: -8, -5, -3, 1, 2, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -558*m**6 + m**2 + 307.\nAnswer: -66960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 124788236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5638431247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 AM and 7:03 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 200001 (base 3) in base 14?\nAnswer: 26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of 1\/3*c**3 + 0 + 2*c - 1\/2*c**2. Suppose 4*w = -y + 22, -228*y = -230*y + 5*w - 47. Give z(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -j, -2*k - 2*j = -3*k - 7. What is b in -1\/4*b**4 + 0*b + 0 + 0*b**2 - 1\/4*b**k = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -738 = -24*z - 282. Solve 5 = -t, -6 = 5*y + t + z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 169663\/6, -2\/7, -14 in descending order.\nAnswer: 169663\/6, -2\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 - ((-10)\/6 + -1). Let l = -1.6 + 1.9. Which is the closest to -0.2?  (a) -5  (b) m  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 69 + -45. Calculate the greatest common divisor of j and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002186823387 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 - g**2. Let d be u(-1). Suppose 5*z - 28 - 12 = d. Let r(n) = -n + 6. What is r(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 4*d**2 - 4*d + 4. Let z(x) = x**3 + 5*x**2 - 5*x + 5. Calculate 5*f(q) - 4*z(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 2\/7, 1\/5, 2 in decreasing order.\nAnswer: 16, 2, 2\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 16374253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 3968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**2 + 75*k + 80.\nAnswer: -5*(k - 16)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t, 1 l, and 1 n when four letters picked without replacement from llhtthttntthhtt.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 188*z + 593 - 2285. Solve -8*x = 5*x - z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -4 + 12 - -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -9*o**2 + 32*o - 40. Let y(f) = -4*f**2 + 16*f - 20. Let u(i) = -3*s(i) + 7*y(i). Let b be u(14). Calculate the greatest common divisor of b and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 8*t**2 + 15*t - 3. Let p be y(-3). Let i = p - 10. What is the greatest common factor of i and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (26\/(-5))\/(2\/(-5)). Suppose -5*c - 3*k = -0 - 22, -2*k + x = 3*c. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cgcg when four letters picked without replacement from {g: 4, c: 4, n: 8}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/(t\/(t*t**1\/t))))**(-12\/13))**(-39)\/(t**1\/((t*t**(-5)*t)\/t*t)*(t**(-3)\/t)\/(t*t**(-1\/3))) assuming t is positive.\nAnswer: t**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124 = 7*u - 579. Let i = u + -45. Calculate the least common multiple of i and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 2268674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 4*a**2 + 17*a + 31. Let l be b(-5). Suppose 32*h - 18 = l. Solve 0 = h*g + 4*z + 10, -2*z = -3*g - 6*z - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2141796 to the power of 1\/2, to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2854674, 2854660, 2854622, 2854548, 2854426, 2854244, 2853990, 2853652?\n\"Answer: -2*m**3 + 2854676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -912062.1293 - -912025. Let t = i + 37.2. Round t to 3 decimal places.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -127 - -127. Which is the smallest value?  (a) z  (b) 3  (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - -1. Suppose 3*h = 23 + p. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of -2*f**3\/3 + 9*f**2 + 44*f + 100. Factor c(j).\nAnswer: -2*(j - 11)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(70)*-3 - sqrt(70) - sqrt(70) - (sqrt(70)*1 - sqrt(70) - sqrt(70))*-5)\/(2*2*sqrt(1440)*-1).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 108 + 3*u - 5*u - 100 as l + y*u and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2*q**2 - q - 1647. Let y(p) = 4*p. What is y(u(t))?\nAnswer: 8*t**2 - 4*t - 6588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 97 - 153. What is the tens digit of -3 + 7 + -2 - c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 914822294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -0.5, 3, -1\/3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 308132776 to the nearest integer?\nAnswer: 17554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 - 22*g - 23. What are the prime factors of h(-20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x\/(x*(x*x**(-23)\/x)\/x)*x*x)\/(x*x**(6\/7)))\/(x**(1\/7))**(2\/3) assuming x is positive.\nAnswer: x**(547\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 128*i = 130*i - 13, -v - 3*i = -22. Which is smaller: -1\/1331 or v?\nAnswer: -1\/1331","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29 + -19. Solve r*q + 46 = 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 5*i - 2. Let h(v) = -26*v + 2 + 13*v + 7*v. Let j(b) = 3*h(b) + 4*m(b). Calculate j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = -4*a - 5. Let p = a - -9. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -15*h + 173. Give c(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1376043 to the power of 1\/2, to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.829673 grams in milligrams?\nAnswer: 3829.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 35*b + 8 = 34*b, 0 = 3*a - 4*b + 44 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88359 is divided by 17618.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*i**2 - 696*i - 11*i**2 + 1151*i to t*i**2 + o + n*i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least -262\/4775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqxqqxxqq. Give prob of picking 2 q.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -f**4 - 2*f**2 + 21892*f**3 - 9*f - f**4 + 0*f - 21892*f**3 in the form p + q*f**4 + j*f + w*f**2 + i*f**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/(x\/(x**(-7)*x))))\/x**(2\/29))\/(x*x**(1\/2)*((x\/(x*x**(-7)*x))\/x)\/x) assuming x is positive.\nAnswer: x**(83\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 392392 is divided by 2906.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 2*x = -3*a - 3, -2*a + 3*x - 10 = 0. What is the units digit of 76 + 4 + a + -8*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1260\/810*1*(-819)\/(-13)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 59877552 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 - 5*j**2 - 4*j - 8. Let n be (2 - -1 - 4)*-3 + 3. Let f be u(n). What are the prime factors of (0 - f)\/((-4)\/2) + 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -43.76074 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 8*a**2 + a + 10. Let p = 145 + -93. Let n = -44 + p. What is the least common multiple of c(n) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 5*d = 44, -3*y = y - 3*d - 193. Let m(b) = -3*b + 0*b**2 - 4*b - b**2 - 5. Let r be m(-4). Calculate the greatest common factor of r and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -43 - -43.07. Sort 5, -3, v.\nAnswer: -3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23800000 = 4*k + 3*k. What is k rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of y**4\/12 + 2*y**3\/3 + y**2\/2 + 13*y. Determine s(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -70675136013 take away 4?\nAnswer: -70675136017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-86)\/(-20) + (-48)\/32 + 42\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -82696119, -82696112, -82696105, -82696098, -82696091?\n\"Answer: 7*i - 82696126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (13\/(-3))\/((-1)\/(-3)). Let o(n) = 10*n**2 - 835*n - 417. Let q be o(84). Which is the second smallest value?  (a) -4  (b) 1  (c) q  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 7*r**2 + 12. Let h be n(6). What is the smallest common multiple of (-8)\/h + (-2)\/(-3) and 2 + (-3)\/3 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 13, c: 3}. What is prob of picking 1 i and 1 c?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -3\/3422887, 1 in decreasing order.\nAnswer: 1, -3\/3422887, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3b (base 16) in base 2?\nAnswer: 111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 884 - 880. Solve -m + 25 = w*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -51 - 0 - (3 + (24 + -66 - -41)) - 6.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*p - 261*p + 1 - 2.\nAnswer: -230*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 26411 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3487494*v**3 + 40846854 wrt v?\nAnswer: -10462482*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 4*g**2 + 5*g + 92. Is 37 a factor of p(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2332437 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-16)\/20)\/(2\/(-10)). Let t(d) = -3*d + 3 - 3*d**2 + s*d**2 + 0*d. Calculate t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 90579, 180176, 269775, 359376, 448979, 538584, 628191?\n\"Answer: y**2 + 89594*y + 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -106735.4 and 1719.\nAnswer: -105016.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (15 - 11) + (-10 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(45) - (1 + sqrt(180) + sqrt(45)))**2.\nAnswer: -724 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**5 + 12*i**4 + 22*i**3 + 12*i**2 = 0. Calculate i.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -3\/7, 0, 1, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*m**3 - 2*m**3 + 0*m**3 + (2*m**3 - 3*m**3 + 2*m**3)*(-1 - 3 + 6) + 3*m**3 - 2*m**3 + m**3 + (-16 + 16 + m)*(-41*m + m**2 + 41*m).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 12\/45 - 4\/10\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, x: 4, s: 1, z: 2, a: 2}. What is prob of picking 1 z and 1 b?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 351925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 9:21 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-2)\/(-42)*1*-9.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -11626*m - 8. Let u be k(-8). Suppose 0 = -3*o - 0*o + u. What is o rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/36 and 335368\/(-619278) - (-2 + (-16)\/(-11)).\nAnswer: 30708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 83800\/(-1676) - (2 - 120)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1647 (base 8) to base 3.\nAnswer: 1021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*g**4 - 11631*g**3 + 147585*g**2 - 393477*g - 552720 = 0. Calculate g.\nAnswer: -1, 7, 3760\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9808 minus 9575931?\nAnswer: -9566123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*h + 1939 = -43*h + 477 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 35 - 32. Let d be (-3 + 42\/9)*a. Let w(l) = 3*l + 1. Determine w(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -117*c**3 + 9*c**2 - 14*c + 47. Let z be t(6). Let f = z + 549771\/22. What is the common denominator of 151\/378 and f?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -282*m**2 + 553*m**2 - 269*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 23*b**2 + 3*b + 11. Suppose 0 = 5*p - 6 - 19. Suppose -11 = -4*s - 5*m, 0*m = -p*s - 5*m + 15. Is g(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 76*b - 4446. Calculate n(58).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2177086 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -14*h - h**3 - 2*h**2 + 1 - 2*h**2 + 16*h. Let v(m) = m**3 - 9*m**2 - 10*m - 4. Let g be v(10). Calculate a(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2 + 20*c - 12. Suppose -1956 = -120*f + 84. Give l(f).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -82*o**2 - 8*o - 4. What is j(-1)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b + 3. Let n = -4 + 4. Let i be h(n). Find the second derivative of -4*q - i*q**2 + q + 6*q**2 + 0*q wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16 - (16 + 32)) + 25?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27 + 31. Find the common denominator of -65\/27 and a + 77\/(-5) + -1.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in -1\/5, 2\/139, 3, -30\/11?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 11*g + 74. Suppose 0 = 12*m + 36 + 36. Let n be d(m). Solve -4*v = -n*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9*(-9)\/(-54))\/(2595\/(-1384))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1986?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -45 + b2b0?\nAnswer: b267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 51232527 divided by -711?\nAnswer: -72057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2297*25 + -12 + 16 + -16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 686*c + 8178. Determine k(-12).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - n + 2. Suppose -g - 1 = 2*d, -2*g = g - d - 18. Suppose 0 = 4*t - g - 3. Determine k(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-412)\/12978 - 64\/(-252).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 125 = 5*i, 2*i + 49 = 5*j + 99. What is the remainder when 1948 is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36620 and 3665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.182172*2.5.\nAnswer: -2.95543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (9 - 4) + 1 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2438, -2, 2, 0 in ascending order.\nAnswer: -2438, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**2*f\/((f\/f**(4\/9)*f)\/f))**28\/((f\/(((f*f\/f**(-7))\/f)\/f))\/f**(-2))**(6\/23) assuming f is positive.\nAnswer: f**(14384\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*w - 4 = -4*r, -4 = 17*r - 21*r + 2*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1215582 times 1.7?\nAnswer: 2066489.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7 + (-31)\/4*(-28)\/24 and -65\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from iidd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of -t**5\/30 + 7*t**4\/24 + t**3\/6 + 2*t**2. Let k be v(6). List the prime factors of (-5)\/(-25) - k\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 28303883*o + 18867841 with respect to o.\nAnswer: 28303883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17508 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.207047 milligrams in grams?\nAnswer: 0.006207047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 87, 152, 217, 282, 347?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2783, -2782, -2781, -2780, -2779?\n\"Answer: a - 2784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/83?  (a) -0.07  (b) -0.1  (c) 315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - 2*c + 1 - c**5 + (45*c**4 - 664*c**4 - 170*c**4)*(2*c - 3*c + 0*c) - 2*c**5 + 2*c**5 + 2*c**5.\nAnswer: 790*c**5 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -2822*s + 14117. Let d be t(5). Let k(b) = -b**2 - 2*b + 2. Let o(h) = -7*h - h**2 + 6 - h**2 - 2*h**2. Give d*k(c) - 2*o(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*p**2 + 32*p**4 - 12 + p - 78*p**4 + 2*p**3 + 45*p**4 as u*p + w*p**4 + f*p**2 + s + v*p**3 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -164 + 353. Let j = y + -111. What is the remainder when j is divided by (8\/6)\/((-1)\/(-15))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/186743 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 2*(2*sqrt(68) + sqrt(68)) + sqrt(68) + 5)**2.\nAnswer: 224*sqrt(17) + 3396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14313 - -584?\nAnswer: -13618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 395491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - -2) + -1 + 272\/136. Solve 0 = -4*t - p + 9, b*t + 0*t - 3*p - 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 813 + 357 = 195*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 80.7 - 80.8. Let m be (-18)\/(-30) + (-9)\/40. Let o = 4.4 - 4. Which is the fourth smallest value?  (a) m  (b) o  (c) 1  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 5*m + 63 - 72 = 0, 3*g - 2*m - 2 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**2 + m**2 + 2*m**2)*(-m**2 + 2*m**2 - 3*m**2) - 3*m + 4*m**4 + 3*m - 2*m + 2*m**4 + 2*m - 2*m**4 - 10*m**4 - 17*m**4.\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(6\/(186\/(-217))).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1 - 72*u**6 - 88*u**2 + 85*u**2 - 2 + 3 wrt u.\nAnswer: -8640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 32193004 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(-2)*8\/(-6). Suppose 5*a - 2*c = 36, 2*a + 4*c - 20 = i*c. Suppose -4*j - 1028 = -a*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/(-39) + 7840\/(-936). Is o < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 407*u + 412*u + 47 = 0, -2*v + 25 = 3*u. Calculate the greatest common factor of v and 2534.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(816)*-2)\/sqrt(3))**2.\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 566498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 3*q + 110, 1 = 3*q - 14. Let a(u) = u**3 + 2*u**2 - u - 2. Let v be a(2). Let r = 25 - v. Calculate the remainder when d is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of -21*q**4\/2 + 10*q**3\/3 + 46*q**2 - 1199. What is the second derivative of y(b) wrt b?\nAnswer: -252*b + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.631 - 2.369. Sort f, -1\/9, 6 in decreasing order.\nAnswer: 6, -1\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*w - 8*w - 8*w)*((-5 + 2 + 5)*(-3 + 3 - 1) + 3 - 2 + 0 - 3 - 3 + 4 + 5 - 5 + 1) + 2*w - 20 + w - 5*w to the form p + q*w and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*w + 19*w - 2496. Let b = w - 83. Calculate the smallest common multiple of b and -1 - -11*(0 - -1).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22620, -22751, -22936, -23175, -23468, -23815?\nAnswer: -24216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 8, r: 3}. What is prob of sequence rc?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-6*(sqrt(125) + sqrt(125) + 0)*-2)**2.\nAnswer: -216000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -69, -1\/3, -2\/11, 81, -5, -5\/97?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 64914 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1055*r = 804*r + 6275 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 + 17*k - 99. What is n(-21)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 19. Let u = 16 - z. Let a be u - (2 + 1 - 1). Solve -10 = 3*b - 5*o, -o + 15 = -a*b - 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/(-15))\/((-300)\/(-75))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -723 (base 12) to base 10.\nAnswer: -1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - p + 3*p)*(-5*p**2 + 8*p**2 - 5*p**2)*(-4*p + p + 2*p).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(48))**2*-6.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**3 + r**3 + 3*r**3 + 50 - 50.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*y - 2 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16926 and 1049412?\nAnswer: 1049412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 38  (c) -0.563  (d) -0.5  (e) -0.2  (f) 0.4  (g) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 82.06655 kilograms to milligrams.\nAnswer: 82066550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 115721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*-3*(-14)\/(-3). Let o = t + 43. Suppose 0*s - o = -5*s. Solve a - 5 = -s*f, -5*a = 3*f + 4 - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8013909.\nAnswer: 3, 239, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = w - 4*w. Suppose -a + 4*q = -0*a - 9, -4*q + 21 = w*a. Find the third derivative of -16*m**a - 17*m + 0*m**5 - 2*m**2 + 17*m wrt m.\nAnswer: -960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1473*q**2 - 4212*q + 2?\nAnswer: 2946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 339 is divided by 88.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -406\/5, -4\/5, -6, 1034?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3103*p + 2. Let x(n) = 1551*n - 1. Let c(u) = -4*o(u) - 10*x(u). Let k be c(-1). What is k rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = 3*x - u, -3*x + 4*x - u + 7 = 0. Let c(l) = 3*l + 40. Let t be c(x). Solve -t = n + 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 + 6*l**2 + l. Let t be g(6). Suppose 3*v = -v + 16. Suppose t*j = v*j. Solve 3*k - k - 4 = j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j**2 + 4*j**2 + 0*j**2)*(5*j**2 + 2*j**3 - 5*j**2) + 233*j**4 - 6973 - 10*j**5 + 6973.\nAnswer: -8*j**5 + 233*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8910 and 243.\nAnswer: 26730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/((2 + 0)\/(-10)). Suppose -2*k - 3*k - r*x + 405 = 0, 0 = -4*k - 3*x + 326. Suppose z - 2 - 19 = 0. What is the remainder when k is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(648)*4*1 - sqrt(648)))\/(((-1*sqrt(90))\/sqrt(3))\/(1*sqrt(500))).\nAnswer: -1080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 94 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 + 2)*40\/24. Suppose g = -5*o, 5*x = -4*o - 0*o - 89. What is the common denominator of (89*1)\/(x + -1) and 47\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 373*g**2 - 55*g + 162. Is 129 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23520 + -211676\/9. Factor -20\/9 - 8\/3*f - u*f**2.\nAnswer: -4*(f + 1)*(f + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -325, -733, -1131, -1507, -1849?\nAnswer: -2145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-17)*21\/14. Let f be (-101 - 3)*7\/714. Let m = f - z. Sort -1, -3, m, -4.\nAnswer: -4, -3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 11*h**2 - 19*h + 11. Let g be v(9). What is the greatest common factor of g and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of -u**9\/56 - 7*u**5\/20 + u**2\/2 - 19. Let i(a) be the second derivative of r(a). Find the third derivative of i(v) wrt v.\nAnswer: -1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1319 and 0.03.\nAnswer: -0.003957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 36 - 2000*y**2 - 13 - 23 to the form u*y**2 + x + v*y and give u.\nAnswer: -2000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 23*q. Suppose 0 = -45*b - 90*b + 469 + 206. Let d(c) = 126*c. Give b*d(g) - 27*a(g).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -2*t + 4*i - 9, 0 = 3*t - 3*i + 9. Solve 0 = -17*n - t + 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10796, 21592, 32388, 43184, 53980?\nAnswer: 64776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 - 14.56?\nAnswer: -14.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21232 (base 5) to base 6.\nAnswer: 10402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 2*h - 2. Let r be c(4). Let b be 0\/(15\/(-35) - 20\/(-14)). Solve -r*g + g + 15 = b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 25, 0 = -3*w - 3*a + 6944 - 25229. What is w rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*(h**(-7)*h)\/h*h\/(((((h*h\/h**(-7)*h)\/h)\/h*h*h)\/h*h)\/h*h)*(h**(-2\/9)*h*h*h)**(10\/9))**(-43) assuming h is positive.\nAnswer: h**(41495\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*r + 46*r = -62. Let a(d) = -7*d + 22. Let k(t) = -t + 1. Calculate r*a(n) + 5*k(n).\nAnswer: 2*n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -837\/7  (b) 2  (c) -0.2  (d) 0.4  (e) 5  (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = 5*l - 64, -6*h + 159 = 5*l + 41 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 16*w. Calculate the smallest common multiple of 40 and y(5).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 8 = 2*h, -4*u = -2*h - 3*h - 20. Factor -6*n**4 + 0*n**2 + 14\/3*n**5 + u + 4\/3*n**3 + 0*n.\nAnswer: 2*n**3*(n - 1)*(7*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -236*l**3 + 28*l**2 - 11*l + 14. Is b(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 3:15 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*z - 5. Suppose 8*a - 3*a = 0. Suppose n + z*p + a = 8, 2*n + p - 37 = 0. What is the remainder when n is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7992*c + 104*c**4 + c**3 + 7992*c + (-1 + 5 - 3)*(c**4 - 3*c**4 + c**4) as m*c + k + d*c**4 + s*c**2 + b*c**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-3*sqrt(204) - sqrt(204) - sqrt(204)))\/sqrt(12) - (0 + -3*sqrt(17))*4.\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 3*b - 99 = -2*v, -5*b = -3*v + 91. Suppose 1 = 2*n + 5*a + 5, 0 = 5*n + 2*a - v. Let x = 43 + n. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68.4 - 53. Let k = 375.4 + -360. Let s = n - k. What is the fourth smallest value in -3, -6, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -14.5185392 and 2836.6?\nAnswer: 2851.1185392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/1720 and 53\/688?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) + -2 + -3 - sqrt(180)*-1.\nAnswer: -5 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 4 = -5. Let r(k) = 14*k**3 + 9*k - 10*k**2 - 18*k - 15*k**m + 4. Determine r(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*l - 5*l + 3*l)*(16*l - 15*l - 12*l) to the form p*l**2 + z*l + b and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - -8. Let i = -6 + b. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 979758 + (-8 + 5)*-7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 50736 by -50736.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 13 + -20 + -1 + 1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 37671639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -111101 + -2?\nAnswer: -111103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -2*x**3 - 2*x**2 + 2*x + 2. Let y be o(-1). Suppose y = 27*q - 19*q - 200. Does 25 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6+131\nAnswer: 130.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 184 and 92.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/6 in -18, -5, -665?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(208) - (sqrt(208) + 0 - sqrt(208))) - (sqrt(208) + 0)*-4)**2 + -5 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4681 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1002 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.05  (b) 0.4  (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-5))\/2 - 16731\/2145?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*i - 18*i - 92 + 92 as o*i + f and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 + 9*z**2 + 8*z - 9. Let g be s(-8). Calculate the smallest common multiple of (-4)\/(-3) + (-33)\/g and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40832596 divided by 1074542\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/25  (b) -5\/9  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1302 = 3801*c - 3367*c. Suppose -s + 2*s + 5*r - 20 = 0, 0 = s - 5*r. Solve -7 = -c*v - s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 10*a**2 - 12. Let h be g(-10). Is h at least -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*t**4 + 2*t**3 - 4507318*t**2 - 211273764?\nAnswer: -40*t**3 + 6*t**2 - 9014636*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*g**3 - 6*g**3 + 27*g**3 - 12*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 1 = -2. Let i = -41 - -43. Differentiate 5*n + u*n**2 + 1 - 5*n - 5*n**i with respect to n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -4  (b) 2\/17  (c) 0  (d) 0.4  (e) -4\/3  (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/5)\/((-9)\/45). Suppose -t*x = -3*x. Solve n - 20 = 5*h - n, -5*h - 5*n + 15 = x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uv when two letters picked without replacement from vvvvvvvuvvvvv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*v**2 - 1111*v + v**2 + 553*v + 1 + 553*v + 2*v**3 as c*v**3 + o*v**2 + p + a*v and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 24 + -21 + ((47 - 24) + -21 - (-8 + 1))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of 1\/20*n**5 + 0 - 1\/6*n**3 + 17*n + 3\/4*n**4 - 4*n**2. Give i(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 34 - -8.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 130815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 9:28 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1677527 or -1677769?\nAnswer: -1677527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52212846.\nAnswer: 2, 3, 7, 37, 33599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -3*j**2\/2 + 63*j - 40. Let y be s(20). Solve 0 - 48*r**2 + 357\/5*r**y + 36\/5*r + 147\/5*r**4 = 0 for r.\nAnswer: -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2018406, -4036920, -6055434, -8073948, -10092462?\nAnswer: -12110976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6786 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1434.20072 + -1434. Let m = s + -0.2. What is m rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2*c**3 + c**2 - 2. Suppose d = -d - 4. Let u be z(d). Let l = 26 + u. Calculate the greatest common factor of 18 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 117*v**2 + 276*v - 3426. Calculate the least common multiple of x(12) and 2.\nAnswer: 16734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 82 - 3. Suppose -13*w + 69 = z. Find the second derivative of -24*i + 6*i + 8*i - 21*i**w wrt i.\nAnswer: -252*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -346 + 345. Let d be -2*(2 - 0)\/(-4). Sort 1\/5, d, -4, x in increasing order.\nAnswer: -4, x, 1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 AM and 2:54 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(50) + sqrt(50) + sqrt(550)\/sqrt(704))\/((sqrt(10) - (sqrt(70)\/sqrt(7) - sqrt(10)))*3)*-3*-6)**2.\nAnswer: 13005\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1184154*p**2 - 974993*p**2 + 65257*p**2.\nAnswer: -2093890*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2402, 2401, 2400, 2399?\nAnswer: 2398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -351690 and -0.1109.\nAnswer: -351690.1109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = -u - 7, 3*u + 4*g + 5 + 0 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0258391979 to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -2*j + 2*d, j + 0*j - 3*d - 15 = 0. Suppose -8*c = -3*c - j. Solve 3*h = 2*q + 5, -q + c*h = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -26\/85 and -12\/305.\nAnswer: 5185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g**3 + g**2 + 2*g + 1. Let z be v(-1). Let k(h) = 4*h + 6*h**2 - 4*h**2 - 7*h + 5*h - 1. What is the units digit of k(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of -h**5\/20 - h**4\/24 - 2*h**2. Suppose 0 = 3*g + 3 - 0. Let t be g - 2\/(4\/(-6)). Let z(o) = o**2 + o. What is t*z(d) + w(d)?\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-8))\/((54\/(-9))\/96*-20).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - g + 66. Let l = 48 - g. Let i = 175 - 100. Calculate the highest common factor of l and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**3 - 1244*u**2 - 141541*u - 140296 = 0 for u.\nAnswer: -104, -1, 1349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199065836?\nAnswer: 2, 49766459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**25\/(z*z\/z**(-5\/4)*z)*(z**(2\/49))**49 assuming z is positive.\nAnswer: z**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from fzppnn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -44 - (-1 - 3\/3). Let w be ((-1)\/11)\/((-7)\/k). Which is the third biggest value?  (a) -4  (b) w  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = -20, 6 = -4*p - k + 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 s when four letters picked without replacement from {k: 6, a: 2, s: 9}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 - 5*m + 5. Let g be b(-5). Let h = 4 - 2. Suppose h*f - 6*f + 8 = 0. Solve f = -2*q - 3*x, 11 = q - g*x - 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-4)*(-6 + (-224)\/462*-12). What is the fifth biggest value in u, 6, -2\/5, -0.1, 3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -449358 divided by 3?\nAnswer: -149786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (15 - 10) + -8 + (-1 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35876107 + -154446641851\/4305. Let h be (5\/(-225))\/(82\/(-12)). Let u = c - h. What is the closest to u in -5, 1\/8, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 2730?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 6, -2*n + 0*n = -3*z - 7. Let r = z + 4. Solve -s = -f - 1, -6*f - 27 = 5*s - r*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1654, -1653, -1652, -1651?\n\"Answer: r - 1655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 152777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(16\/23) + 582\/1552. What is the biggest value in 4.8, 0, j?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**3 + f**2 - f + 2. Let v(d) = -d**3 - 2*d**2 + 4*d - 176. Determine -2*p(o) - v(o).\nAnswer: 5*o**3 - 2*o + 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/292 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 14, 138, 472, 1124, 2202?\n\"Answer: 18*o**3 - 3*o**2 + 7*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 390 and 13111485.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 567275, 2269208, 5105755, 9076910, 14182667?\nAnswer: 20423020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 10689 - 10683. Which is smaller: v or 297\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p + 4*p + 12 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 116*o - 2422. Let l be n(21). Solve -5*p = -f + l, -14*p = f - 16*p - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -158185*b**4 - 94119 wrt b.\nAnswer: -632740*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1392 - 2733\/2. Suppose 3*r + 3*w + 16 = -14, 0 = -5*r - w - 34. What is the common denominator of 488\/r*(-2)\/96 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 - 3 - -10) + 1*-1. Suppose -8*c + v*c - 72 = 0. Is 8 a factor of (-1 + 6 - 4) + c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -3790710?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 483 + -259. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-25)*5\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 249.2 - 231. Let f = -18.19999906 + u. What is f rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2850*w**4 + 418*w wrt w.\nAnswer: 34200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 18\/81 + (-364)\/18. Let y = u - -48. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 179 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -291 * -0.2.\nAnswer: 58.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -71 divided by 70\nAnswer: -71\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of n**3\/3 + n**2\/2 - 5. Let o = 0 + 0. What is d(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**3 - 185*p**2 + 960*p - 319. Calculate r(87).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -81 - -84. Solve u - o*u - 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6247031577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 238, 429, 704, 1057, 1482, 1973, 2524?\n\"Answer: -f**3 + 48*f**2 + 54*f + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 76 and 6460.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 809.452 and 71.9.\nAnswer: 58199.5988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-40)*((-129)\/(-1) + -3). Let g = d + -289\/15. Calculate the common denominator of 131\/54 and g.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 6, i: 6}. What is prob of sequence isis?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, x: 7, t: 2, q: 1, s: 4, v: 1}. Give prob of picking 1 t and 1 x.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27 and 4625568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -38*c + 22. Let x(z) = 13*z - 8. What is 6*d(g) + 17*x(g)?\nAnswer: -7*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f**1*f)\/f)\/(f*f**(-11\/2)*f))\/(f\/(f**(-5)\/f))**(-28\/5))**26 assuming f is positive.\nAnswer: f**(5681\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 59*m**2 - 5*m - 7. Let o be p(-1). Solve 123 = -45*f - o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7295669*f**3*n**4 + 14828625*f**3 wrt n.\nAnswer: 29182676*f**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 - 0.3. Let s be (4\/(-12))\/(2\/6). What is the second smallest value in s, -2, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - (-19 - -7)) + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of -r**2\/2 - 2*r - 3. Let o(g) = g + 10. Let u be o(14). Let h = u + -26. Give q(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*3777.85.\nAnswer: 11333.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 8, 0 = 3*g - 8*g - b + 23. Suppose -g*j + 13 = 2*w - 8, 4*w - 12 = -4*j. What is the least common multiple of j and 41?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(68) + (5*sqrt(68)*2 + sqrt(68) - sqrt(68)))**2 + sqrt(68) + -2*(sqrt(68) + (sqrt(68) - sqrt(68)*1)).\nAnswer: -2*sqrt(17) + 8233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 183.09 - 199.604. Let a = -0.794 - q. Round a to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22234695 + -250804695. What is v rounded to the nearest one million?\nAnswer: -229000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3443, -12837, -28473, -50351, -78471, -112833, -153437?\nAnswer: -200283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 479269*d**4 - 99660.\nAnswer: 1917076*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1394, 2781, 4164, 5543, 6918, 8289, 9656?\nAnswer: 11019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwtddwtwtttwdtdt. Give prob of picking 2 w.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 28\/21*(-45)\/175*21\/(-18). Determine h, given that -4\/5*h**2 + 0 + 2\/5*h + n*h**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 726 is divided by 171?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124 is divided by 91.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 380 is divided by 65?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - 17*x**2 + 2*x - 31. Let m be o(17). Suppose -m*b = 4*r - 137, -5*r + b - 42 + 218 = 0. What is the smallest common multiple of r and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + 2*p + 2 - p - 2 + 2 + (-4 + 4 + 5*p)*(6 + 0 - 4).\nAnswer: 11*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 8577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -12, -5, 0.3, -18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4705187 millimeters in kilometers?\nAnswer: 0.0000004705187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 - c - 2. Let n(h) = h**2 - 2*h - 4. Let x(z) = -6*j(z) + 3*n(z). Let m(o) = -205*o. Determine m(x(p)).\nAnswer: 615*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.734?  (a) -11  (b) 0.1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 375500 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 + 18*v**2 - 16*v - 22. Let a(q) = q + 6. Suppose -4*o + 2*l - 6 + 50 = 0, -5*o + 33 = 3*l. Let h be a(o). Is t(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 12 = 6*p. Let k = 2 + p. Calculate the greatest common divisor of k and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 3*g + 73, 5*g + 3*x + 131 = 4*x. Let o = g + -64. Let y = 26 - o. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4703729 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**2. Suppose -3*a - a + 16 = -4*u, 10 = -5*u. Let o(n) = 9*n + 2. Let q(b) = 19*b + 5. Let w(h) = a*q(h) - 5*o(h). What is r(w(z))?\nAnswer: -49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 375 = 3*u + 114. What is the remainder when u is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r\/((r\/(r\/(r**(-1\/2)*r)*r))\/r*r))\/((r\/(r\/(r*r\/r**(2\/5))))\/r))**(3\/22))**(19\/2))**(-46) assuming r is positive.\nAnswer: r**(-11799\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 533.6508 litres in millilitres?\nAnswer: 533650.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -144605901 by 33.\nAnswer: -4381997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 279 = -4*s - 341. Let q be (s + 5 + -2)*3\/(-6). Suppose -3*v + 146 = -q. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93468977.\nAnswer: 7, 13352711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8834217 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + 2. Solve 3*b + j = -4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b**2*g**2 - 14*b**2*g - b**2 + 606062248*b*g**2 + 2*b*g - 3*b - 16874 wrt g.\nAnswer: -2*b**2 + 1212124496*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8703 by 19.\nAnswer: -8703\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d - 2*d + 3 - 8 + 6*d. Let v(i) = -i**2 + 10*i - 19. Let j = -175 - -179. Let x be v(j). Calculate m(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -103900400 by -80.\nAnswer: 1298755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 9022 = -4622. List the prime factors of b.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-160227)\/(-228) + 1*(-2)\/(-8). Suppose -11*j + r = -232. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*o + 17. Suppose o*q = 623 + 189. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24 + 47. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 PM and 2:28 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 212\/(-21) - (0 - 824\/(-168) - 5). Let s(y) = -2*y**3 + 5*y**2 + 3*y. Let j(q) = -6*q**3 + 14*q**2 + 10*q. Give k*s(c) + 3*j(c).\nAnswer: 2*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from mmguggmmmggmmgmgum.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -40 + 67. Solve -4*g + 2*j + 9 = b, 5*j + 20 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -271, -339, -437, -565, -723, -911, -1129?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -12\/59, 2\/13, -291, 1\/118?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -476686134 by -238343067.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12\/19 + -173\/304. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -24*f**3 + 1107*f**2 - 1087*f + 2. Calculate g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 14213 or 14091?\nAnswer: 14213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/297*-6*-3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 - 866*p - 3. Let n(z) = 4*z. Determine y(n(b)).\nAnswer: -16*b**2 - 3464*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 3*b - 12, -2*b = 5*d - 13 - 1. What is the common denominator of 1540\/(-363) + (-1)\/6 and d\/4 - (-78)\/15?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 13 = 5*m, -m + 21 = 4*h + 7. Let y(x) = -x + 2. Let u(o) = -o + 2. Let a(j) = -8*j + 15. Let s(p) = -a(p) + 6*u(p). Give m*s(b) + 3*y(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -46\/75 - -1\/75. Put 11, 0, -0.5, b in descending order.\nAnswer: 11, 0, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -11*v + 4373, 356*v + 419 = 357*v + 5*d. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26\/8*(234\/1755 - (-124)\/(-30)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4552744829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 + 8*m**2 - m + 17. Suppose -5*t = -2*g + 9, 0 = -g - 4*g - 4*t - 60. Let c be r(g). Let b = c + 106. List the prime factors of b.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 1\/2  (c) 4  (d) -2\/5  (e) 2\/5  (f) 2040\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9564390 a multiple of 846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-1) - 2\/2. Suppose -2*x + 5*x = -15, -3*n = 4*x - 1. Let p = -4 + n. Calculate the greatest common factor of p and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**2 - 82*q + q + 81*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -376*a - 22. Let z(b) = 378*b + 17. Give 3*m(f) + 4*z(f).\nAnswer: 384*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 13*y**2 + 2. Let r(z) = -75*z**2 - 145*z. Calculate r(h(f)).\nAnswer: -12675*f**4 - 5785*f**2 - 590","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6699940 and 1168.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b + 3. Let n be h(2). Suppose w - 26 = -n*v + 11, 3*w - 79 = v. Let l be (-6)\/w + (-20)\/(-9). Solve l*j + 14 = 5*a, -3*j - 6*a = -3*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 20 and 8.2?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2706*w - 138. What is the thousands digit of x(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 439475.\nAnswer: -1\/439475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - -3. Let o(l) = -3*l**2 + 13*l + 1. Let t be o(r). Let b = t + 1185\/7. Sort b, 3, -2\/3 in ascending order.\nAnswer: -2\/3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + -1. Let s be m\/(-2) + (-1)\/(-1). Suppose 3*n = 18 - s. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t + 0*t + 4*t)*(103 + 34 - 76).\nAnswer: 122*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -38, -89, -206, -419, -758, -1253?\n\"Answer: -5*c**3 - 3*c**2 - 7*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102)*-1)\/sqrt(3))\/(sqrt(72)*-4).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 532850911.\nAnswer: 532850911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*r + 87*r + 86711 = 3*m, 2*m - 57794 = -2*r. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -9*w**2 + 81*w + 14. Is 18 a factor of g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 826 divided by 413?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -20875, -39833, -58791, -77749, -96707?\n\"Answer: -18958*h - 1917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/175044 and 45\/116696.\nAnswer: 350088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2212472 is divided by 265.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 PM and 12:48 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*n - 3*x - 61, 107*n - x = 109*n + 17. Suppose 4*s + q - 2*q + 3 = 0, 2*s = 3*q + 1. Let z = -5 - -8. Put n, z, s, 1 in descending order.\nAnswer: z, 1, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 737727685 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 83659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 5*d = 13 + 10, -31 = 5*l - 4*d. Let j = 4 + -3. Let g = j - l. Is 4 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80 - ((-139 - 7) + 132).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 + 3*x**2 + 2*x - 4. Suppose -f = 3*o - 10, 5*f + 9 = -1. Let i be n(o). Let h = -63\/5 - i. What is the second biggest value in h, 1, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1938085\/28 - -69219. What is the common denominator of ((-2)\/(-16))\/((-26)\/420) and g?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7414 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 310629 is divided by 2724?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - ((-35)\/(-10) + 0).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*x + 290, 0 = 2*r - r + 5*x - 290. What are the prime factors of r?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2.6, 1\/3, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 23 = -12*o + 158. Solve 3*b - 53*n - 10 = -54*n, -3*n - o = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 times -153.399?\nAnswer: -2454.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 10824?\nAnswer: 10823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -695092610*v + 472183462 wrt v.\nAnswer: -695092610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -12*l + 26. Give h(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 3*q - 2. What are the prime factors of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n = -25 + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 535287 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -71214 by -166.\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2*(-3 + 68\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -124 - -126. Solve m*r = r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 136 + 24 = 0. Let l(g) = 5 - 12*g + 21*g - 8*g. Let c be l(-3). Solve a = 6*q - c*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 765528, 765526, 765524, 765522, 765520?\n\"Answer: -2*m + 765530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 2*s + 51. Calculate the remainder when x(0) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(121)\/(-1*sqrt(44)\/sqrt(4))*4 - (-4 + ((sqrt(132)\/(4*sqrt(4) - sqrt(4)))\/sqrt(3))**2).\nAnswer: -4*sqrt(11) + 25\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 - 4)*(1 + -47). Suppose 5*d - 9 - p = 0. Calculate the least common multiple of d and (-153)\/(-63) + 6\/(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m + 9. Let r = -7 - -13. Let o be k(r). Suppose 8*s - 4*q - 673 = o*s, 0 = -4*s - 2*q + 528. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*k + 21 - 21)*(0*k + 3 + 3*k - 1) to the form n + q*k + r*k**2 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 374920139 rounded to the nearest one hundred thousand?\nAnswer: 374900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 - 9*d**2 - 2*d + 6. Give l(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s**2. Let u(h) = -10*h**2 + 16*h**2 + 0*h**2. Give u(i(o)).\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**(3\/4)*l)**(6\/7)*(l**(-1\/55)\/l)\/l**(-11\/4) assuming l is positive.\nAnswer: l**(7617\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (475\/760)\/((-5)\/(160\/(-4))). Solve 0 = 2*i + 136*h - 140*h - 8, 0 = -w*i - 5*h - 25 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/120 and 43\/18792.\nAnswer: 93960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-270)\/(-1710) + (-816)\/114\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 0.09, 1\/12, 4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 203015148 divided by -2416847\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**2 - 2*w**2 + 35 + w**3. Let c(h) = -h - 7. Let o be c(-7). Is p(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13 * -0.3.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 10168 divided by 328?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 3)*(0 - 5 - 3)*(-z - 3*z + z)*(3 + 1 - 2 - 2 - 2 + 5 + (0 - 1 + 0)*(-2 + 1 - 1) + 0 + 1 + 2).\nAnswer: -576*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -g + 5196, 0 = -p + 2*g - 4*g + 2595. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 2*z**2 - 122*z + 4. Give a(61).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 62784 and 129056?\nAnswer: 2323008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1 + sqrt(1331))*1 - sqrt(1331)) + 0 + sqrt(1331)*1)**2 - 3*(sqrt(1331) + 0 + sqrt(1331) + (sqrt(1331) + sqrt(1331)*-1)**2).\nAnswer: -44*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2482 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 254 - 258 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/6)\/(1\/9). Suppose m*v - 5*g + 5 = 17, 4*v = -g + 16. Let x(z) = z. Let a(i) = i + 7. Let u(p) = a(p) - 2*x(p). Give u(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(sqrt(20)\/sqrt(4)*4).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 0*h + 236124*h**2 - h + 0*h + 273877*h**2. Let g be s(1). Round g to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 7:27 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 7.730954 centuries?\nAnswer: 77.30954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 + 4 + 7*v + 23*v**2 - 9*v**2 - 8*v**2. Let c be u(7). Suppose 10 = c*f - 10. Solve 5*i - 20 = 3*s - 4, f*s + 3*i = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(19) + 1) + 1 + 2)*-2.\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 16*z**2. Let s(i) be the first derivative of -9*i + 2 + 0*i + 9*i + i**2. Give s(x(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 15309776 divided by 14?\nAnswer: 7654888\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhhj when four letters picked without replacement from hhhhhhhhjjjjhh.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -3*i**2 - 253*i - 17. What is h(-75)?\nAnswer: 2083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/20 and -47\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (194*p**4 + 192*p**4 - 380*p**4 - 2)*(-3*p - 6 + 6)*(4 - 1 - 2).\nAnswer: -18*p**5 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(156)*-2)\/((sqrt(192)\/sqrt(4))\/sqrt(4)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*w + 41*w - 905 = 0. List the prime factors of (w + 2 + 1)*(-1)\/(-2).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 61\/2 + (-10)\/20. Let f = n - -64. Is f\/(4 - 1 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 156 and 18265663.\nAnswer: 219187956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1*sqrt(700) + 5 + sqrt(700))**2*5*2 + 1.\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17*37.\nAnswer: -629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 172073 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.051 + 34.051. Let l = -33.999961 + o. Round l to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -3 - v + 5 - 1. Let a be f(-2). What is the second derivative of -2*b + b**2 + a*b**2 - 5*b**2 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jje when three letters picked without replacement from {e: 3, j: 11}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1234712*b**2*l*r**2 + 43733*b**2*r**2 + 46*b**2 wrt l?\nAnswer: -1234712*b**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/9)\/u)**(1\/31)\/(u*u**5*u**(3\/7)) assuming u is positive.\nAnswer: u**(-12604\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 34186077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-4))\/((-2)\/12). Let q = y - 5. Sort q, 0, 3 in descending order.\nAnswer: 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-267)\/9078 + (-4085)\/(-170)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 10. Suppose -3*f + 19 = 2*d, 17 = d - f + 10. Is d smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -4, -3*d + 0*d = 5*t - 23. Let i be (-2)\/t - (-129)\/6. Let r = i + -41\/2. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 10) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 + 26*h**2 - 57*h + 807. Calculate g(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 - 5*v**2 - 5*v - 2. Let m be f(-4). Let q be 3 + (-4)\/(-6 + m)*-613. Let o = 1999 - q. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -16*z**2 + 11*z - 9. Let k(u) = -8*u**2 + 6*u - 5. Let a be (-10 - 1 - 0)*-1. Let i(f) = a*k(f) - 6*v(f). Determine i(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5330650 to the nearest ten thousand.\nAnswer: -5330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 2*a + 26 = 6*d, -3*a = 3*d - 75. What is the least common multiple of d and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/4 + (-6)\/(1 + -3). Let t(y) be the first derivative of -12*y**3 - 52 + 85 + 8*y**2 - a*y + 3*y - 2*y**5 + 8*y**4. Factor t(r).\nAnswer: -2*(r - 1)**3*(5*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 876, 5322, 12724, 23082, 36396, 52666, 71892?\nAnswer: 94074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 5:13 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42274 and 18?\nAnswer: 380466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 4*o - 9 + 1, 0 = 5*j - 4*o - 8. Suppose 4*i = -5*r + 311, i + j*r - 81 = 2*r. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 2*m + 5*v, 3*m + 3*v + 13 = -2*m. Let z be m + 0 - (1 - -119). Is (z + 1)\/(-2 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -123.14 - -123. What is w rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*f + 4 - 5 + 5*f - 11*f in the form t + m*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 18986 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 155*l - 13947. Give z(85).\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (3 - 2) - 2 - (38 + -17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 30985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 7*b**3 - 230*b**2 - 36*b + 76. What is r(33)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 136192345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 30 = -k, 4*r - 12 = 3*k + 12. Suppose 2*s = r + 6. Let g(c) = -3*c - 7. Give g(s).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 49*f + 200. Let o be u(-4). Solve -a + 5*p = -o*a - 2, -p + 6 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64 divided by -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 307866392?\nAnswer: 2, 107, 359657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/2 + (-33)\/(-44). What is the third biggest value in -0.3, -5, j, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56*44\/(-924)*(-4)\/((-8)\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 + 8*r + 9. Let y be t(-3). Find the second derivative of 11 - 5*p - y - 2 - p**2 wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 3*k = -92, -44*k - 73 - 58 = 45 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2)*(297*z**3 + 818*z**3 + 185*z**3).\nAnswer: 1300*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165 is divided by (0 - (36 + -1))*(-136)\/85?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2235, -8932, -20095, -35724, -55819, -80380, -109407?\n\"Answer: -2233*x**2 + 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 4 = -4*k + 17, 3*j + 4*k = 31 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -445*r = -446*r. Let c = 8 + -6. Let f be 4*(0 - (-1)\/c). Solve r = -0*m - f*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -161011227184967\/26525335554802 - 78328\/56116661. Let m = 2\/33763 + n. What is the common denominator of m and -49\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 227364228 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + 7*j**2 - j - 6. Let s be t(-7). Let g(q) = -3*q**2 + q - 1. Determine g(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 62621 and 143?\nAnswer: 688831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612)*1 + 2 + sqrt(612) - sqrt(612))**2 + 4.\nAnswer: 24*sqrt(17) + 620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s**5 - 957*s**4 - 18216*s**3 + 79410*s**2 - 44004*s - 16245 = 0.\nAnswer: -19, -1\/4, 1, 3, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vfxxyjavyyxjyvfj. Give prob of sequence vfjf.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of y**7\/720 - y**5\/6 - 7*y**2. Let c(o) be the third derivative of n(o). What is c(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28055053?\nAnswer: 13, 2158081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (220\/(-55))\/(14\/46) - 10?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (96\/(-15))\/((-18)\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7 + -3 + 5 + (7 - 12). Which is the closest to r?  (a) -2  (b) 4  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15173887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 127 = 5*n, 7 = -5*s - n + 392. Suppose 6*c - 13*c = -9*c. Suppose c = -7*r + 21 + 91. Calculate the least common multiple of r and s.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(1\/5)*b)**(6\/7) assuming b is positive.\nAnswer: b**(66\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 304224169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 68\/6*(-21)\/(-14). Suppose 3*o - f - 13 = 0, 3*o + l = 6*o + f. Suppose -o = 4*q - 25. Calculate the smallest common multiple of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 6*z**3 + 9*z**2 + 19*z + 9. Calculate y(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1 - 0)*(-2)\/(-42))\/((-2)\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*p - 3*p - 18. Let g = 3.905 + 0.145. Let i = g + -4. Which is the smallest value?  (a) i  (b) p  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*0.153774\nAnswer: 0.0615096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 3*t**3 - 82*t**2 - 75*t - 8188. Give w(31).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**4 - 151*l**3 + 160*l**2 + 1204*l - 1824.\nAnswer: -(l - 2)**2*(l + 3)*(l + 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(1\/4))**(2\/21)*w*w\/((w\/w**(-1\/3))\/w)*w*w**(1\/11))\/((w**(2\/5))**(2\/7)*w**(-2\/17)\/(w**2*w)) assuming w is positive.\nAnswer: w**(227167\/39270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 107, 233, 395, 587, 803, 1037?\nAnswer: 1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -6. What is the remainder when 21 is divided by 10 - (n + 1 + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5\/4)\/(1\/4). Suppose -816*x - 234 = -894*x. Suppose -j*i - x*k = -0*k - 493, -3*i - k + 295 = 0. List 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 thirty-seven fifths of a kilometer in meters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 2*v - 484, -5*a - v + 595 = 4*v. Suppose 65*w - 24*w - a = 0. Calculate the lowest common multiple of 87 and w.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26096 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 388*c**4 - 38215*c**2*x**3 + 235*x**3 + 1345782*x with respect to c.\nAnswer: 1552*c**3 - 76430*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 19934 (base 10) in base 7?\nAnswer: 112055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 77761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(2\/11))\/a**(1\/4))\/(a**(1\/4)\/a)**1 assuming a is positive.\nAnswer: a**(37\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 430598.4 centuries to months.\nAnswer: 516718080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from ttwt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 349703441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 1 + 3)*(w**2 + 4*w**2 - 4*w**2) + 5*w**2 + w - w - 2*w**2 + 5 - 5 + 3*w**2 + 0*w**2 + 6*w**2 to the form v*w + c + s*w**2 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1576215?\nAnswer: 3, 5, 35027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 48 - 65 + 342. Suppose -4*c + 296 = 5*z, 3*z = z + 8. Let n = c + l. Solve 3*v + n*p + 12 = 0, 2*v + 3*p + 6 = p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -3, 2, 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) 0.5  (c) 2\/13  (d) -0.3  (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1246050 and 468.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*w + 224*a - 225*a - 5, 9 = 3*w - 3*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 PM and 4:58 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 - 73*i**2 - 469*i - 403. Calculate s(-66).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -3*t + 54044, -5*t + p + 17206 = -72860. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -504  (c) 0  (d) -36  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 + 6*l. Let a be c(6). Let h(n) be the second derivative of -n**4\/12 + n. Let x be h(0). Solve a = -x*i + 4*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -4*l. Let w(v) = -1. Let h(b) = -m(b) - 6*w(b). Let x(a) = -a**2 + 5*a - 1. Let o be x(5). Let d(g) = -g - 1. What is o*h(i) - 6*d(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1288 - 1290. What is the third biggest value in p, -3, -0.79, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 151767 and 90783?\nAnswer: 19881477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1468767055 divided by 293753411\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 29, 5, -3, -2 in ascending order.\nAnswer: -3, -2, 4, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 2*o + o)*(1614*o + 29518493 - 29518493) - 3 + 3 + o**2.\nAnswer: 1615*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10 + -7 - (-45)\/(-5). Let k(s) = 5*s + 11. Let f(n) = -10*n - 23. Let i(x) = 6*f(x) + 13*k(x). Let w(h) = 6*h + 6. Determine t*w(p) + 7*i(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 26 + -23. Suppose -2*s - 5*p = 17, -4*p = s + 11 + 2. Let w = -5 + 9. Sort m, s, w in descending order.\nAnswer: w, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104 + 5*b - 98 + 246 + 13*b.\nAnswer: 18*b + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 5*u**4 - 125*u**3\/2 - 305*u**2 + 1840*u + 6960 = 0.\nAnswer: -4, 6, 29\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68646.\nAnswer: 2, 3, 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 11:41 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of l**6\/120 - 13*l**5\/30 - 9*l**4\/8 - 9*l**3\/2 + l**2 - 507*l - 4. What is h(27)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -374114660 from 78157.\nAnswer: 374192817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n - 13 + 13)*(-4*n + n + 2*n) + (-5 - n + 5)*(-3 - n + 3) + 1 + 2*n**2 - 1.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -17*p**2 - 21*p - 7. Let a(s) = -33*s**2 - 41*s - 13. Let k(h) = -h + 12. Let r be k(9). Let g(l) = r*a(l) - 5*n(l). Suppose g(v) = 0. What is v?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 1613\nAnswer: 6452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/4))**12*(y\/(y\/(y**(-17)*y)))\/y**(14\/9) assuming y is positive.\nAnswer: y**(-185\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -77453347*t**3 - 61131342*t**2?\nAnswer: -464720082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*o + 1356 = -3*f + 935, o = -5*f - 51 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 12\/20 + (-10 - (-312)\/30)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -57 - -49. Let m(f) be the first derivative of -f**4\/4 - 8*f**3\/3 - f**2\/2 - 6*f + 30. Calculate m(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.4 + -0.4. Let h be ((-10)\/44)\/(687\/(-576)). Let z = -2\/229 + h. What is the biggest value in z, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 1 - (39 - 39) - 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -2*r**3 - 28*r**2 + 4*r + 61. Let h be n(-14). Solve 3*c + q - h = 0, -7 + 2 = -4*c - q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2259 - 1381 = -26*g. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1271 by -1014.\nAnswer: 1271\/1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.92 + -0.08. Let y(k) = -k**3 - 5*k**2 + 13*k + 4. Let u be y(2). Which is the closest to u?  (a) -0.2  (b) r  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of -11\/6*o**3 - 12*o + 1\/90*o**6 + 4\/15*o**5 + 8\/3*o**4 + 0*o**2 + 0. Let h(n) be the second derivative of r(n). Factor h(s).\nAnswer: 4*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -2*b + 5*y - 10, -4*y + 12 = 0. Let v = 16\/9 - 73\/36. Let c = 275\/3 + -93. What is the nearest to v in c, 4, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48903?\nAnswer: 3, 16301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*t**5 + 7961531*t**4 - 2482259*t - 1.\nAnswer: -40*t**3 + 95538372*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (88\/66)\/((-4)\/(-198))*4\/8.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 1) + (52 - 49).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 34 + -31. Let u = 1.752 - 2.752. Which is the second smallest value?  (a) 1  (b) y  (c) u  (d) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - 24 - 4. Which is smaller: z or -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -1 - (-688)\/258.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6896 and 1362464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-285741 - -923)\/(-4 - 2*-1). What is c rounded to the nearest 1000?\nAnswer: 142000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2 + 13*t - 19. Is c(-16) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, -3497\/17, -3, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3*w**3 + w**2 + 3*w + 1. Let j(z) = -z**3 - 6*z**2 - 3*z + 9. Let p be j(-5). Let m be r(p). Let t = -2 + 6. Solve -x = x - m, 2*s = 4*x - t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1759.815 grams?\nAnswer: 1759815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h**4 + 10*h**3 - 17*h**2 - 112*h + 3. Let x(n) = -n**4 - 12*n**3 + 18*n**2 + 112*n - 2. Let d(i) = 6*p(i) + 9*x(i). Find s such that d(s) = 0.\nAnswer: -2, 0, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.28566*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (37 - 16) + 9 - (127 - -11)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, g: 1, b: 3, o: 2, v: 6}. Give prob of picking 1 b, 2 f, and 1 g.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.343222 centuries in months?\nAnswer: 10011.8664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**5 + 6*u**4 + 3*u**2. Let j(m) = -m**4. Let w(v) = -b(v) - 6*j(v). What is the third derivative of w(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 137 = 28*l - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(6776) + sqrt(6776)*-1))\/(1*sqrt(800) + (sqrt(72) + sqrt(72) + sqrt(72)*-2 + sqrt(72) - sqrt(72))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.03?  (a) 2\/13  (b) -2  (c) 4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o + 24. Let x be k(8). Solve -3*b = 4*t + 7 + x, 2*t - 5*b = 21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1413 + 4?\nAnswer: -140c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q**3 - 6*q**2 - 6*q. Let d be m(-4). Suppose -5*p + 70 + 0 = 0. Calculate the highest common factor of d and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1960.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/8193?\nAnswer: 1\/8193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5244, -5263, -5282?\nAnswer: -5301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h + 2. Let o = 6 + -1. Let f = -7 + o. What is the units digit of r(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43802 by 2.\nAnswer: -21901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1.526*2\nAnswer: -3.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/39381 and -59\/9?\nAnswer: 118143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + ((sqrt(720) - (sqrt(720) - -1*sqrt(720))*-2) + -2 + 3*(-1 + sqrt(720) + -2))**2) + 3.\nAnswer: -12672*sqrt(5) + 277191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -24279 - -24282. Factor 38\/3*x**2 + 8\/3*x**4 + 8\/3 + 25\/3*x**n + 28\/3*x + 1\/3*x**5.\nAnswer: (x + 1)**2*(x + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - -18. Calculate the remainder when 55 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h**2\/5 + 6282256*h\/5 + 4933342556192\/5 = 0. What is h?\nAnswer: -1570564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 456991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o. Let n(j) = j - 3. Let w(z) = -5*z + 11. Let s(f) = 12*n(f) + 3*w(f). Determine s(g(x)).\nAnswer: -3*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*i**6 - 172684647*i**4*o + 9*i**2*o - 3*i**2 - 8149*o - 27 wrt i?\nAnswer: 240*i**3 - 4144431528*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1475 less than -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 180 and 10305?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 33618 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 + 2 - 3)\/1. Suppose n = 78*k - 82*k. Which is bigger: 3\/58 or k?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 10, -k + 5*i + 33 - 11 = 0. Is 1876\/k + (-4)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.259?  (a) 0  (b) 2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36\/49 + 1333\/147. Which is greater: 9 or u?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**4 + 1893*n**3 + 299559*n**2 + 293895*n - 595350.\nAnswer: 3*(n - 1)*(n + 2)*(n + 315)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h**2 - 2*h**2 - 18*h**2.\nAnswer: -23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111*s - 40 = -103*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 1\/2, 21, -4, 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20311130 (base 5) to base 6.\nAnswer: -3322235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 + -26. Let m = l - -17.05. Let x = 4 - 3. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**2 - 12*m + 5. Let z be y(-12). Suppose 0*o + 5*r = -o + 33, 0 = -4*o + z*r + 7. Which is greater: o or 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57510 divided by 5.\nAnswer: -11502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 7, 4, -3, -3080 in decreasing order.\nAnswer: 7, 4, -2, -3, -3080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from {l: 3, i: 4, k: 1, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 784, 1210, 1926, 2932, 4228, 5814, 7690?\nAnswer: 9856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -654, -1404, -2256, -3210, -4266, -5424, -6684?\n\"Answer: -51*a**2 - 597*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 50319488 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**6\/o*o*o**(2\/33))**20 assuming o is positive.\nAnswer: o**(4660\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -127663, -255336, -383009, -510682, -638355?\n\"Answer: -127673*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -6.2. Let b = z + 0.1. Put 3, -3, b in increasing order.\nAnswer: -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ueeeeezeez. Give prob of sequence ee.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -1890*n + 301. Let u(x) = -x + 28. Determine g(u(k)).\nAnswer: 1890*k - 52619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 22853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -917, -1832, -2747, -3662, -4577, -5492?\nAnswer: -6407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ditamiii. What is prob of sequence ta?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34 (base 7) to base 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 6 = 32. Let s = 46 + d. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -7. Let v = 210 - 214. Let r be x + 29 + -1 + v. Solve -6*w - 12 = 4*d - w, -3*d + r = -4*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 4:07 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-3))\/(2\/24*3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 5*v - 11 = 16, -4*r - 5*v + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + -4. Let v = g + 44. Suppose -s - 3 = -4*p + 45, 12 = 3*s. What is the remainder when v is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 8*k - 2*k - 4*k - 6*k.\nAnswer: -4*k + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of n**5\/60 + n**4\/3 - 2*n**3\/3 - n**2\/2 - 2. Let v(t) be the second derivative of l(t). Is 13 a factor of v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.630505 nanograms in kilograms?\nAnswer: 0.000000000008630505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 417 - -857. Does 49 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3613.456 and 192.\nAnswer: 693783.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 19763670 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -14294379, -57177384, -128649067, -228709434, -357358491, -514596244, -700422699, -914837862?\n\"Answer: -z**3 - 14294333*z**2 + z - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147) + 0 + (sqrt(3) - sqrt(18)\/(sqrt(36)\/sqrt(6))))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4*u + 4 = 0, 5*l + 4*u - 2 = -6. Suppose d - m - 11 = l, 5*m + 49 = 4*d - 0*m. Let g(r) = 2*r - r - d*r. Let a(b) = 2*b**2. Give a(g(k)).\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.3  (b) 6  (c) 4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 5:12 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -58.9?  (a) -1  (b) -2  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 10 = 3*j - 4*p, j - 9 = 4*p. Suppose 0*c + 3*c - 27 = 0. Suppose 2*u = -c + 5. Put j, 4, u in increasing order.\nAnswer: u, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -178 + 95. Let i = g + -24. Let a = 165 + i. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24660212?\nAnswer: 2, 6165053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 341\/(-62)*(-12)\/33. Suppose 39 = 5*z + 2*i + i, 0 = -z - 3*i + 15. Solve -w = -2*o - z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34 + 1472*m - 24 - 2*m**3 - 10 + 0*m**3.\nAnswer: -2*m**3 + 1472*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4086 and 21?\nAnswer: 28602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6411199.\nAnswer: 2339, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 3314*w**3 - 7*w**2 - 7*w + 4. Let o(h) = -2209*h**3 + 5*h**2 + 5*h - 3. Calculate -5*m(b) - 7*o(b).\nAnswer: -1107*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 80757, 161572, 242385, 323196, 404005?\n\"Answer: -j**2 + 80818*j - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p - 4. Let x = 1041 - 1043. Let s = 1 - -5. Let t be 5*(-4 - s\/x). What is u(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/3, -2, 0.1, -2\/27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*w + 1)*(4 - 4 - 2) + 2*w + 8*w - w - w - w - w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v + 1. Let u be d(1). Suppose -a = u*a - 45. Calculate the greatest common divisor of 18 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -102.886271 + 1874581.\nAnswer: 1874478.113729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1)\/a**5*a**(6\/5)*a*a\/(a\/(a*(a*a\/(a\/((a**7*a)\/a)*a)*a)\/a))*(a**(2\/7))**35*(a**(-1))**(-18) assuming a is positive.\nAnswer: a**(161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 104*x**2 + 21*x + 2. Let m(h) = -414*h**2 - 84*h - 9. Let g(r) = -2*m(r) - 9*v(r). What is the second derivative of g(k) wrt k?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 - 22*r**2 + 76*r - 14. Let u = 197 - 172. Is o(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.004 - 241.004. Let z = 240.8 + l. Put -5, -25, z in descending order.\nAnswer: z, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 9 - (-42 + 40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + z + z + 26, z = -2*v + 17. Suppose -4*o + v = -2. Find the first derivative of o + 2*m**3 - 3 + 6 - 3 wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100011 + -11100100?\nAnswer: -100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.070756 in 2, -0.2, -8, -19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (175\/(-420))\/((9\/2)\/(18\/(-3))).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 11:28 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 109.66 and 3176 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 16 = -p, 6*p + s = -23*p + 32 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 261532809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -136*p + 37. Is m(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 PM and 10:42 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 10152 divided by -1128\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8163 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40)\/24 + (-2)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -101 + 101 - 96*y**3 + 275*y**3 + 351*y**3.\nAnswer: 530*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.0849 - -0.0849. Which is the second biggest value?  (a) 1  (b) d  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 991*v - 3218. What are the prime factors of j(9)?\nAnswer: 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208868.\nAnswer: 2, 11, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4490 + 4485. Let k(a) = 25*a + 133. Determine k(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 12 = 4*g, 4*m - 5 = 3*g + 9. Let i be 1*(g - 3)*176\/616. Which is the nearest to i?  (a) 3  (b) 16  (c) 1\/5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 - 3*q + 2. Let a = 5 - 3. Let v be z(a). Suppose -r + 1 = -3*p, 2*p + 5*r - 25 = -3*p. Do p and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -3*w + 792, 0*w = 5*w + h - 1343. Suppose -w*d - 2833 = -269*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -0.5, 2\/65, -3, -3\/2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 737?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -2\/7  (c) -1.28  (d) 5  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -1  (c) 1.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21240, -42481, -63726, -84975, -106228?\nAnswer: -127485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (121\/7260)\/(6\/20)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 - -43.551258636854?\nAnswer: 43.461258636854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/7 at least as big as -52.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 10. What is the second derivative of -4 - 2*f**2 - 3*f - 3*f**v + 4 wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1265.84329 rounded to one dp?\nAnswer: 1265.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 35\/5 + (0 - 1). Suppose -5*j + 3*w + 3704 = 0, -k*j + j + 2*w = -3706. Suppose 0 = -v + 3*v - j. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3379*m + 145061 = 442413 for m.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -40755 - -40759. Let o(l) be the second derivative of -l**4\/12 - l**3 + 3*l**2 - l. Let n be o(-7). Sort 3, n, r in descending order.\nAnswer: r, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 992*l + 1817772 - 1817772.\nAnswer: 992*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-2) + (10\/(-20))\/(42\/42).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 12*o**2 + 10*o + 62. Let i be a(-6). Suppose -185 = -3*u + w + i, 3*u = -5*w + 595. Does 41 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 - 18*d - 64. What is z(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 11f9 + -3?\nAnswer: 11f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 4*g + 40. Let n(m) = -274*m**3 - 6*m**2 - 12*m. Let j be n(g). What is j rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*h**3 + 14*h**3 - 43*h**3)*(-8 - 9 - 14*h + 15).\nAnswer: 476*h**4 + 68*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5644 - -5693. Solve 13*x - 6*x = l for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -4*u**2 + 3*u**2 + 14*u - u + 3. Let f be d(10). Calculate the greatest common divisor of f and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2939279, -5878529, -8817779, -11757029, -14696279, -17635529?\n\"Answer: -2939250*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 9:14 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*z + 48 = -12. Let t = -13 + 18. Suppose 2*a + t*g - 45 = 0, 0*g = -z*a - 2*g + 62. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 957 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -343 + 329. Which is the closest to -0.1?  (a) -0.1  (b) o  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 27235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -7*-11*2\/(-22)*(-3)\/21\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31887282 bigger than 31887283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 109027698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4043 + 4041. Which is the third smallest value?  (a) 0  (b) 10  (c) z  (d) -5  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -10165*c - 91434. Give x(-9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1.409 * -0.3\nAnswer: 0.4227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10187.\nAnswer: 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + w + 1094 = 5*k, -2*k + 428 = 4*w. Let v be ((-3)\/(-4))\/(11\/k). List the prime factors of (v\/(-9))\/(4\/(-24)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*d**2 - 1095*d + 59950 = 0. What is d?\nAnswer: 109, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.518 - -1.218. Let p = -53 - -52.9. Which is the smallest value?  (a) 2\/15  (b) s  (c) p  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)*-2*6)\/(((sqrt(90) - (sqrt(90) + -3*sqrt(90))) + sqrt(90))\/sqrt(9)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y*y**(-1)*y)*y)**13\/((y\/(y\/y**(-5\/4))*y)\/y*y**(7\/2)) assuming y is positive.\nAnswer: y**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c**3 + 3*c + 2\/3*c**2 - 4\/3*c**4 + 2\/3 = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2047731.\nAnswer: 3, 7, 97511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/30)\/(242\/(-110))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(240) + sqrt(240)*-1)\/(sqrt(12) + 2*sqrt(588)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 8*w**2 + 609*w + 99. Let s be u(-76). Solve -18*y + 15*y = -5*r + 28, 3*y - 4*r + s = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11616.7393 - -11493.81. Let g = t + 123. What is g rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/6*(-184)\/(-115)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) -3  (c) -1\/2  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**5\/4 - 3049*k**4\/2 - 36696*k**3 - 220392*k**2.\nAnswer: k**2*(k - 6122)*(k + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*k - 340 = 29*k + 28 + 162 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + sqrt(68) + sqrt(68) + (sqrt(68) + (sqrt(68) + 1 - sqrt(68)))*-3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -4*b - 8 - 13, 0 = 2*g - 2*b - 6. Suppose 1 = s, -s - 1 = 5*l - 2*s. Put 9, g, l in decreasing order.\nAnswer: 9, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.05 and 0.066.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -7*j - 40. Let h = 118 - 124. Let s be w(h). Suppose -6 = 4*k + 2, 4*y + 5*k = -22. Put -29, y, s in descending order.\nAnswer: s, y, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-16) - (-2380060)\/1888. What is the greatest common factor of 52 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 92*y + 1. Let z(j) be the third derivative of j**5\/20 - 48*j**2. Calculate z(i(x)).\nAnswer: 25392*x**2 + 552*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.7 + -3.8. Let x = 0.6 - 0.54. Sort s, x, -1.\nAnswer: -1, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -4*k**3 + 26*k**2 - 7*k + 13. What is the remainder when 300 is divided by y(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -22\/9, -1\/3, 4, -5, 1\/7?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6626162 - 4?\nAnswer: -6626166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 89 + -6031\nAnswer: -5942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -219\/11 at most -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 906731.1 weeks in hours?\nAnswer: 152330824.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - 1)*(-8 - -3). Solve c = -j*l + l + 15, 4*c - l - 9 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, q: 3, u: 1, z: 2, b: 1, f: 3}. What is prob of picking 2 q?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-49)\/14*(-1760)\/(-616)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 399*p**2 - 3 + 398*p**2 - 27*p - 791*p**2 as x*p**2 + l + u*p and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 41 and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-27))\/(s**(-3\/22)\/s)*(s\/(s\/(s*s**(2\/5)*s)*s*s))**(-23))**(-5\/11) assuming s is positive.\nAnswer: s**(-2193\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2750, 2829, 2980, 3221, 3570, 4045?\n\"Answer: 3*d**3 + 18*d**2 + 4*d + 2725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15124804889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -11110100111?\nAnswer: -11110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 2:36 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 4*b**2 - 8*b - 8. Let h be f(-6). Suppose -2*s + 3*d - 182 - 6 = 0, 2*d = 4. Let q = s + h. Calculate the remainder when 81 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 27*p**2 - 58*p. Let b be w(-29). Suppose b = -5*q + 130 - 30. Calculate the remainder when q is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 820, 2512, 5994, 12160, 21904?\n\"Answer: 149*n**3 + n**2 + 646*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -211 + 230. Calculate the remainder when f is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3584, -3586, -3588, -3590, -3592, -3594?\n\"Answer: -2*g - 3582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -8836200 to the nearest 10000.\nAnswer: -8840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = -0*h + 2*n + 21, -2*h = -n + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 + 27. Let c be 51*10\/(-90) - (-7 - -1). Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9615 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 356 - -694. Let s = 13 + -9. Suppose t = s*f - 4546. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -5*p + 43. Let l(b) = 49*b - 74*b + 75 + 142. Let t(d) = 11*g(d) - 2*l(d). What is the first derivative of t(u) wrt u?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147010 is divided by 6392.\nAnswer: 6386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -28*p**2 + 13*p + 8. Determine w(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 + 10*u**2 - 10*u + 13. Let y be (24\/(-10))\/((-15)\/50). Let q be (-86)\/y + 1\/(-4). What is the units digit of v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + 4 + -2 - 1. Let v = f + 3. Which is smaller: 1\/14 or v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 28 in -1, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -301011 (base 4) to base 12\nAnswer: -1999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -125 + 228. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4179, 8298, 12415, 16530, 20643?\n\"Answer: -n**2 + 4122*n + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 283399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 26*g. Let n(q) = -1187*q. Determine d(n(a)).\nAnswer: -30862*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lslsliizllll. Give prob of sequence isl.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(11) - sqrt(99)*-5) + sqrt(11) - sqrt(121)\/(3*sqrt(396) - sqrt(396)))**2.\nAnswer: -203*sqrt(11)\/6 + 453443\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -12*h**2 - 48*h + 60. Let k(c) = -3*c**2 - 12*c + 15. Let z(v) = -2*a(v) + 9*k(v). Factor z(x).\nAnswer: -3*(x - 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-4) + 1)\/((-57)\/(-342)). Let o(i) be the second derivative of -27\/2*i**2 - 57\/4*i**v - 3\/8*i**5 - 5*i - 4*i**4 + 0. Let o(n) = 0. What is n?\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 229a (base 14) to base 5\nAnswer: 143031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 2, -114, -5753 in ascending order.\nAnswer: -5753, -114, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 18*y**2 + 22*y + 15. Let m be b(7). Let z = 343 + m. List the prime factors of z.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that u**4\/5 - 72*u**3\/5 + 336*u**2 - 14848*u\/5 + 36864\/5 = 0.\nAnswer: 4, 16, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {u: 8, b: 1, d: 2, o: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 370653789 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**2 + 5*n**2 - 3*n**2)*(-251 + 800 - 4044).\nAnswer: -6990*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 48284720.\nAnswer: -9656944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 440776 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 168\/(-15) + 28\/140?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 take away 133?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g**3 + 6*g - 6. Let l be j(-2). Solve w = -3*t - 11, -2*w = 4*t - l*t - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16791 + -28981265\/1726. Let a = b + -81155\/56958. Find the common denominator of a and -53\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 813956 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 55*v**2 - 3585*v + 7560.\nAnswer: 5*(v - 63)*(11*v - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 4 + -3 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 13 + 1. Suppose -3*j - 9 = -3*l, 3*j - 2*l = 2*l - 8. Put 4, j, f in descending order.\nAnswer: 4, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -7*v + 39. Suppose v*d - h = -617 + 2904, h = d - 571. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5334)\/27370 + 0 + 3\/15. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q - q + 138295. Suppose -2*x = -19*x + q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385969678033 take away 0.15?\nAnswer: 385969678032.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -168*x + 173*x - 4485. Let m = -880 + x. Solve -20 = 21*i - m*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1426.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z**3 + 58*z**2 - 125*z + 14. Let r be k(2). Solve 3*x - r*i + 17*i = 0, 4*x - 2*i = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135704 to the power of 1\/2, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s\/s**(-2\/7)*s*s)\/s)*s*s**(-1\/8)*s)**(3\/4) assuming s is positive.\nAnswer: s**(99\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (((0\/5)\/(-6))\/1)\/(-2). Solve k = -3*w - 15 + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110681 divided by 10?\nAnswer: 110681\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvttztttvvzvvtvtvt. What is prob of picking 2 z?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 106781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4321 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -117 or -103977\/887?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -37090 * 23\nAnswer: -853070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c - 1247*c**2 - 432*c**2 + 235*c**2 + 0*c to p*c**2 + x + w*c and give p.\nAnswer: -1444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14495814 and 231369.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 237889229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*r**2 + 3*r**3 - 6*r + 1 - r**2 + 4 - 12*r**2 + 1 to i + b*r**2 + g*r + a*r**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 6*x + 10. Let s = x - -3. Put 56, s, 5 in descending order.\nAnswer: 56, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -2*a + 1780, -5*a + 4435 = 83*x - 78*x. Is 52 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2980331 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2279 - 6049. Find the common denominator of 87\/14 and 2\/9 + i\/360.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1658311489.\nAnswer: 31, 773, 69203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -5583.\nAnswer: 2\/1861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of t**5\/15 + t**3\/6 - 2*t**2. Let n be q(1). Suppose 13 = n*h - 32. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27707, -27711, -27715, -27719, -27723, -27727?\nAnswer: -27731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5248847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 126108229 and 977.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -136 divided by 1512\nAnswer: -17\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + w + 1 = 0, -3*t + 21 = 2*w + w. Let o(j) = 5*j - 33. Let m be o(7). Let f(a) = a**2 + 4*a - 6. Let n be f(-5). Sort t, n, m in descending order.\nAnswer: t, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a (base 15) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2 - 1794*f - 1793.\nAnswer: -(f + 1)*(f + 1793)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -8335 + 306\nAnswer: -8029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1277 by 21872.\nAnswer: 1277\/21872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1105 and 2975?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 126 - 40. What are the prime factors of z?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.6 + 0.4. Let u(x) be the third derivative of 5*x**4\/24 + 17*x**3\/6 - 2*x**2 + 27. Let t be u(0). Which is the closest to d?  (a) 5\/6  (b) t  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.139 and 19.14.\nAnswer: 19.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -5*s + 38. Give y(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**3 - 6*u**2 + 4. Let d be f(-4). Suppose l + l - 8 = 0. What is the highest common divisor of l and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -0.6  (c) 1\/19  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1218, -2505, -3800, -5109, -6438, -7793, -9180?\n\"Answer: -d**3 + 2*d**2 - 1286*d + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 156358097?\nAnswer: 7, 22336871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 51  (b) 0.4  (c) 3\/4  (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*a - 163 + 625. What is the greatest common divisor of 1056 and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 7:56 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.48 - 0.52. Is g at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13588160713 plus 4?\nAnswer: -13588160709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 + 4*v**2 - 3*v. Let m be j(2). Suppose g - m = -g. Solve 5*k + 3*h + h = -g, 0 = -k + 2*h - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(2\/(-10920)) - (19 - 18). Let a = c + -2503. Suppose -2*m + 3*f = -a, -2*m + 7*f = 5*f - 2958. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -225663*y**3 - 13*y - 5843271 wrt y?\nAnswer: -676989*y**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 272991 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r**2. Let b be (-5)\/(-15) + (-28)\/(-6). Let q(x) = -4*x + b*x + 23*x**2 - x. What is q(v(f))?\nAnswer: 207*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 4  (b) -2  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-33)\/(42075\/30)*45\/(-18)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 - 21. Let x(j) = -j**2 + 4*j - 7. Let o be x(c). Let a = 27 + o. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/259182 and -107\/242.\nAnswer: 259182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 301157493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -2*u**5\/5 + 94*u**4\/5 - 846*u**3\/5 - 6038*u**2\/5 - 9152*u\/5 - 4056\/5 = 0.\nAnswer: -3, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 - 4*s + 5. Let m be o(-4). Let l(v) = -v**3 + 7*v**2 - 5*v + 4. Let i be l(6). Let a(p) = 10*p - p**2 - i*p - m - 6*p. What is a(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 0*b + 5*q + 13 = 0, b - 2*q = 14. Suppose -d - d - b*t = -4, 0 = 3*d + 4*t - 6. Solve -3*h = d + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.289 times -16.71?\nAnswer: -4.82919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-337755)\/(-534)*28\/322?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 - 5. Suppose 2*x = -12 + q. Put -3, -4, x in decreasing order.\nAnswer: -3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*t**3 + 165 - 729*t**2 + 2271 - 324*t + 619*t + 770*t - 654*t**2.\nAnswer: -3*(t + 1)*(t + 116)*(4*t - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1563 is divided by 156.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(((3*(sqrt(1900) + -1 + 2))**2 + 1 + (sqrt(1900) + (sqrt(1900) + -1)*4)**2)*3 + 4).\nAnswer: -2640*sqrt(19) + 775528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*o**3*p - 316*o**3 - 7*o**2*p + 34*o**2 - 2*o*p - 122 wrt o.\nAnswer: 108*p - 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59912a (base 15) to base 7.\nAnswer: 51256201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 251341.\nAnswer: 37, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 14, 50, 116, 218, 362, 554, 800, 1106?\n\"Answer: j**3 + 9*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3160233 - -2154666. Let r(k) = -105113*k - 2. Let o be r(5). Let f = x - o. Round f to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.08369 from -0.3947.\nAnswer: -0.47839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 4*p - 5, 2*s = p + 45. Suppose -6*j - s = -11*j - 5*o, 5*o + 2 = 4*j. Suppose 4*y - y + 12 = 0, y = j*h - 172. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -37 + 46. Let f = 12 - p. Solve -f*t + 5*s + 0*s = 16, 2*t + 8 = 2*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-8)*(-58512)\/(-828). Suppose 2*w + 2 = 3*o, 0 = -w + o - 2*o - 11. Let s = t + w. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -55*m. Let b(g) = -10676*g. What is b(h(r))?\nAnswer: 587180*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 5*b + 37, 4*f - b - 32 = -5*b. Determine j so that -21*j - 19*j**3 - 10*j**f - 12 + 32*j**3 - 6*j**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*z - 342 + 303. Let d be 2 - (0 - -1 - 105). Suppose 3*b - j = 67 + 13, 2*j = 4*b - d. What is the highest common divisor of z and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16229\/5 + -3248. Let a = -6 + 4. Which is smaller: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2019348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -3  (b) -4\/7  (c) 0.5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -481 - -485. Solve l + c*n - 11 + 3 = 0, 5*n - 25 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6 is divided by -7*4\/(-7)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2538315411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -5753 (base 13) in base 10?\nAnswer: -12236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 658 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 12 = -7*i. What is the remainder when 7 is divided by (-12)\/7 + i + (-36)\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23835*x**2 - 13*x**3 + 23835*x**2.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hsrh when four letters picked without replacement from vkrsjjkhkjkh.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1348690 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 70220 less than or equal to 72191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 5*u**2 - 2*u + 1. Let b be l(1). Let s = 210 - 203. Suppose s = -b*v - 1. Let c(g) = -g**3 - g**2 - 3*g - 1. Calculate c(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17943935.\nAnswer: 5, 3588787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 13*n**2. Let b(l) = -l + 5 - 8 - 2 + 5. Determine b(q(x)).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9646076?\nAnswer: 2, 11, 211, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, x: 4, c: 4, m: 3, i: 1}. What is prob of picking 1 m, 1 c, and 2 x?\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7.7 - -8. Let p be (-46)\/(-14) + -3 - 760\/2716. Let k = -1322\/6111 - p. What is the smallest value in k, -2\/3, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 - 1)*(-444*m - 98*m**5 + 444*m).\nAnswer: 196*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-3920)\/(-10) + 0 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 759.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8099 - 8098.9999992. Round x to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1200001011112 (base 3) to base 6.\nAnswer: 31000322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of l**4\/12 + l**3\/6 + l**2 + 2*l. Let k be f(0). What is the greatest common factor of k and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3\/7 + 100*y**2\/7.\nAnswer: 2*y**2*(y + 50)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that j**2 + 169569*j - 6614712 = 0.\nAnswer: -169608, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 - 6*o - 27. Suppose 2*z + 3*n = -30, 0 = 25*n - 20*n + 40. Determine f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0062653 to 5 decimal places.\nAnswer: 0.00627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 59 - 182\/3. Let x = -2 - -1.9. What is the nearest to -0.1 in 5, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12132212 (base 5) in base 16?\nAnswer: -1bffa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - 2*r**2)*(-8*r - 4*r + 5*r) - 24*r**3 - 8*r**3 + 7*r**3 in the form s + l*r**3 + h*r**2 + b*r and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 10*c - 2, -m - 272*c + 277*c + 9 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 + 0)*(-241746 - 929*u**2 + 241746) + (-2*u + 5*u + 0*u)*(8*u - 20 + 20) as g*u + s + y*u**2 and give y.\nAnswer: 1882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 5*q - 1 + q - 3 - q**2. Let w be n(4). Solve -3*g - 3 = 0, -w*u - 4*g + 15 = 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*y + 4 - 10*y - 3 + 8*y.\nAnswer: -32*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 - 7. Let h = q - -28. Solve 2*r = 4*w + 27 - 7, -2*r + h = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16083 + -16081. Let z = 0.1 - 0.2. What is the fourth smallest value in -1, z, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/2 - (-51 + 0). Let c = w - 16. Let h = c + -9. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 4*i**3 - 5*i**2 - i + 2. Let g(m) = 5*m**3 - 6*m**2 - m + 2. Let c = -3 - 0. Let t(a) = c*g(a) + 4*f(a). Factor t(o).\nAnswer: (o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2368684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {u: 4, v: 2, f: 3, l: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -2\/9, -23.2 in descending order.\nAnswer: -2\/9, -2\/7, -23.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 9 = -4*b, -3*k + 4 = b + 10. Let q be ((-19)\/(-4) + -2)*4. Suppose -r + 2 = 3*u, -q = -5*r + b*u + 53. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - x + 0*x)*(-x**3 + 6*x**3 - 3*x**3) + 2*x**4 + 0*x**4 + x**4 + (-x**2 - x**2 + 0*x**2)*(4*x**2 - 4*x**2 - x**2).\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*x = 44, -116 = -5*o - 3*x + 138. Suppose -2*r + 5*r + 5*s - 93 = 0, -3*r - 2*s = -84. What is the highest common divisor of o and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 294 + -59. Suppose -t = -7*m + 171. Suppose -v + m + 30 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b. Let h(v) be the second derivative of 8*v**3\/3 + 3*v**2\/2 + 49*v + 1. What is h(g(t))?\nAnswer: 32*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 859124 and 92049.\nAnswer: 2577372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, e: 3, s: 7, p: 2, f: 4}. Give prob of picking 1 p and 2 o.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of m**3\/3 + m**2\/2 + 8*m - 8. Let v be y(0). Solve v = -n + 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - 0 - 1)*-1. Let j(z) = 6*z + f - 1 - 7*z. Let p(g) = 8*g. Suppose -5*i - 10 = k - 6*k, 0 = -k - 5*i - 16. What is k*p(l) - 10*j(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-9 + (21 - 11)). Solve -m + q*k - 9 = 0, 0 = -3*m - m + 4*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of 9*w**3\/2 - 8*w - 12. Let k(j) = 2*j**2. Calculate a(k(q)).\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8226372276.\nAnswer: 2, 3, 103, 2218547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - 4.6. Suppose -9*z + 39 - 219 = 0. Let n be ((-8)\/(-60))\/(-2 - 36\/z). Which is the third smallest value?  (a) n  (b) t  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*x + 0*x**2 + 0 - 1\/4*x**3 + 1\/2*x**4 - 1\/4*x**5.\nAnswer: -x**3*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/150)\/((1160\/(-87))\/(-20)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 7*l + 4. Let v(s) = -95*s**2 + 93*s**2 + 3 - 3. What is v(t(d))?\nAnswer: -98*d**2 - 112*d - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 194 + -159. What is the remainder when u is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*r - 2340 = -473*r + 120 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 4 - 4 - 5354*z**2 + 5353*z**2. Let h(a) be the second derivative of a**4\/4 + 3*a**2\/2 - 5*a. Calculate h(p(i)).\nAnswer: 3*i**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 13518042 and 1.\nAnswer: 13518043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-1*sqrt(98) + sqrt(98)*1*-2 - (((sqrt(2) - sqrt(32))*1 - sqrt(2) - (sqrt(16)\/sqrt(128) + sqrt(2))) + 1))**2.\nAnswer: 147*sqrt(2)\/2 + 21617\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(300) + sqrt(300) + -1 + sqrt(300)))**2.\nAnswer: -240*sqrt(3) + 10804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/8)\/((-1554)\/5180)*-1.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -3*q + 189. Let n(t) = 10*t - 568. Give 16*h(c) + 5*n(c).\nAnswer: 2*c + 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2970122 or -44551838\/15?\nAnswer: -44551838\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 333 a factor of 274602029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 2495*l**3 + 6074*l**3 + 0 - 1807*l**3 - 1801*l**3 - 1.\nAnswer: -29*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1648, 6304, 13968, 24640?\n\"Answer: 1504*w**2 + 144*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 3641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -133\/2 - -65. Let w = -12 + 7. Which is the second biggest value?  (a) -0.5  (b) -4  (c) o  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + z - 1 = 0, -4*p - z - 2*z = -31. Suppose -2*b = -p*s + 56, 18 + 10 = 3*s - 5*b. Let c = 6 - 4. Solve c*l - s = 6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 48, 101, 176, 285, 440?\n\"Answer: 2*o**3 - o**2 + 42*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 6*n + 350. Let f = n + 6. Let z = f + 182. Does 46 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 6, 12, 20, 30?\n\"Answer: z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -4*k. Let v(y) = 10*y**2 - 5*y + 5. Let f(r) = 2*r + 11. Let x be f(-8). Let p(n) = -5*n**2 + 3*n - 3. Let g(s) = x*p(s) - 3*v(s). Give g(b(o)).\nAnswer: -80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**4\/5 - 78*d**3 - 159228*d**2\/5 + 128312*d - 643104\/5 = 0.\nAnswer: -252, 2, 638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 101, 429, 757, 1085?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/7482 and 119\/7115382.\nAnswer: 7115382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + (-8 - 0 - 10) + 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c56 + 1a?\nAnswer: c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by -1036\nAnswer: 9\/1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/12*(150\/(-4))\/(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3165 and 247742?\nAnswer: 244577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*(-2)\/(-4 - -2). Let b be 3*1 - (11\/1 + -7). Suppose 5 = 5*g + 20. Sort g, v, b in descending order.\nAnswer: v, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**3 - 14730*g**2 + 165925935*g.\nAnswer: -5*g*(g - 4473)*(g + 7419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 3:47 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -340\/21, 3, 4\/3, -286, 1, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2972280 divided by -49538?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 760733 divided by 760733\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 - 13*t - 36. Let k be i(-8). Let o = 5 + -7. Let u = o + k. Solve d + u*z - 6*z = -11, 21 = d + 4*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 87 + 95 = 0. What is the least common multiple of n and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, y: 4, k: 2}. What is prob of sequence yks?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 237, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 9) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 24*u = -87. Let x = 14 - 9. Put 12, x, u, -5 in decreasing order.\nAnswer: 12, x, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 106 - 44. Let h = -21 - r. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3052 - 15343\/5. Let r = -17 - x. Which is the nearest to r?  (a) -2\/13  (b) 2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 535919?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 15*y**2 - 16*y + 5. Determine s(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109085*s - 82275*s + 99591*s.\nAnswer: 126401*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 95, 323, 717, 1283, 2027, 2955, 4073, 5387?\nAnswer: 6903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 201837523\/4425 - 45613. Let l = -199117\/17700 + x. Calculate the common denominator of 15\/4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ojvoqsv. What is prob of picking 1 s and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 35*b**2 + 3. Let z(s) = -38*s**2 - s - 4. What is 3*n(c) + 2*z(c)?\nAnswer: 29*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 5:05 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 15 = -0*d. Let b = 25 + d. Suppose 13*c - 12*c - 12 = 0. Calculate the lowest common multiple of b and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -3.7, 1\/5, -3\/4 in ascending order.\nAnswer: -3.7, -3\/4, 1\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1586.6 and -0.05?\nAnswer: 1586.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -32 - -32. Suppose 15*j - 10*j - 5 = i. Is j less than or equal to -2\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - ((0\/(-3))\/(-2))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 6) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 125, -2, 1, -970, 2 in ascending order.\nAnswer: -970, -2, 1, 2, 5, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 21326013 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express a**2 - 3*a + 6 - 4 + 5*a - a**4 in the form j*a**4 + w*a**3 + k*a**2 + o*a + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3*p - 3 = -0*w, -2*w + p = 1. Let o be w + -1*2 + 6. Solve 2*b = o, 0 = -n - b + 2 + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of d**6\/27 + 4*d**5\/45 + d**4\/18 - 8. Factor l(v).\nAnswer: 2*v**3*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000074901 rounded to 7 dps?\nAnswer: -0.0000749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 16*m**2 + 106*m - 361. Is b(63) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 85*p - 282. What are the prime factors of w(25)?\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + -434801987?\nAnswer: -434801967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/23)*v)\/(v*(v\/(v\/(v\/(v*v**(-2\/51)))))\/v) assuming v is positive.\nAnswer: v**(1229\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 12:30 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(3\/4))\/b**38*(b\/b**(-2\/3))\/(b*b**(-3\/5)))**(-3\/10) assuming b is positive.\nAnswer: b**(2189\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -114 (base 8) in base 9?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5407787 to the nearest integer?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 47 - 79. Let o be (-11)\/88 + 33\/g. Solve 0 = 3*w + o + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 339283 + -236157. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25*g**3 + 2*g - 24?\nAnswer: -150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 99031\nAnswer: -1\/99031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 599669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2 bigger than 5252250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = -a + 151. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/18 - 350727\/(-459)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 630366 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 103374 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7446 is divided by 3718.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/r**6))\/((r\/r**1)\/r)*(r\/(r\/(r*r**2*r)))**(-7\/9) assuming r is positive.\nAnswer: r**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 940 = -20*s + 25*s. Suppose 2*a + 2*a = -4*g + s, 3*g - 2*a = 166. Is g at least 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 4:09 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*b**2 - 2*b**2 + b**2 - 6 + 6 + 4*b**2 + (0*b - 4*b + 2*b)*(-b - b - 3*b).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.07 and 0.5.\nAnswer: 0.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-66*d + 66*d + 802*d**2)*(d**2 + 2 - 2)*(1 - 1 - 2*d).\nAnswer: -1604*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 134\/201*(45\/2)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 89.166 + -89. Let a = -0.266 + j. Sort 4, a, 42 in decreasing order.\nAnswer: 42, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 + 30. Is 2\/a - 74\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 432 - 432. Suppose -17*u + 267 + 1212 = g. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -6\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*h - 6*h = 1243 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/5*2690\/269?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -4028*v + 12166. Calculate u(3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from fzfzollzfkzzfzz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 936 and 13?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.307689 + 0.4?\nAnswer: -0.907689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - f**2 - f + 26. Let w be o(0). Let p be w\/3 - (-3)\/9. Calculate the greatest common factor of 99 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -981 + 986. Put d, 0, 1, 4 in descending order.\nAnswer: d, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((-2*sqrt(147)*6)\/sqrt(7))\/(sqrt(24)\/(1*sqrt(8)) - sqrt(12)*-1) + -4 + -3)**2.\nAnswer: 16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/14 + (-85)\/70)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u and 1 k when four letters picked without replacement from {d: 2, u: 3, k: 4}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 444 and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*f - 3*f + 32 = 7*o - 12*f - 2*f, 62 = -5*o - 12*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -2*b**2 - 1. Let k(c) = 3*c**2 + 2*c + 13. Suppose -s = -4*q + s + 8, 0 = -4*q - 2*s. Let d(w) = q*k(w) - x(w). Differentiate d(u) wrt u.\nAnswer: 10*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**4 + 87*o**3 + 1935*o**2 + 1849*o.\nAnswer: o*(o + 1)*(o + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 63446733 and 751.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 + 4384*t**2 - 8773*t**2 + 4324*t**2 to the form v + l*t + u*t**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5307075 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -5\/3*t**4 - 2\/3*t**2 + 0*t + 0 + 7\/3*t**3 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/175 - 8\/21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -3*s**2 + 61*s - 258. Let z(b) = b + 1. Let v(w) = -m(w) + 2*z(w). Solve v(k) = 0 for k.\nAnswer: 20\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 2\/9, 4, 0.4, 583?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 642\/305 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -512 + 724. Suppose 0*b + 4*b - k = 0. Suppose u - 21 = 5*q - 115, 0 = 3*q - 4*u - b. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 9 = 15. Calculate the lowest common multiple of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*(2\/(-5) + (-819)\/(-10)). Let i = -82 - s. What is the remainder when i is divided by 1 + (-1)\/(-2)*26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 130, 185, 324, 583, 998, 1605?\n\"Answer: 6*d**3 + 6*d**2 - 5*d + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1190397 or 34?\nAnswer: 1190397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-399)\/190*5*4\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z + 12. Let i be f(9). What is the common denominator of -41\/8 and 3*i\/9 - 78\/(-14)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -20, -25, -32, -41, -52, -65, -80?\n\"Answer: -r**2 - 2*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/705, 1, -2, 0.5, 7 in descending order.\nAnswer: 7, 1, 0.5, -1\/705, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 125 and 1490.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 234552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 + 5*q**2 - 2*q + 2. Let g be (-53 - -1)*1\/(-2). Let h = -31 + g. Is 2 a factor of r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.6 - 1. Let q(f) = -f**3 + 11*f**2 + 13*f - 13. Let h be q(12). Which is the second smallest value?  (a) h  (b) 2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/6 and 715\/52*2\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j. Let x(p) = -8*p + 3. Let q(n) = 5*l(n) - x(n). Let r be q(2). Suppose 4 = -3*u + 7. Solve -r = w + u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hrv when three letters picked without replacement from {r: 10, v: 2, h: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -551249.054 take away -14.58?\nAnswer: -551234.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18632 is divided by 847?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 1 - 489*w - 5 + 503*w. Let f be u(-2). Let g = 47 + f. Calculate the greatest common factor of 105 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 6*s - 42. Let t be h(7). Suppose 5*x + 4*p - 129 - 42 = t, 5*x - 5*p - 135 = 0. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, z: 3, y: 2}. What is prob of sequence ty?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 46*u**2 + 13*u + 88*u**2 - 27*u + 15*u to the form r + c*u + t*u**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 151151396?\nAnswer: 2, 11, 389, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*n**2*z + n*z**2 - 19*n*z - z**2 - 101 wrt n.\nAnswer: 6*n*z + z**2 - 19*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.026 - -0.124. Let i = q + -2.098. Let o = -0.54 - -0.04. Sort i, o, 1\/14 in descending order.\nAnswer: 1\/14, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99649 is divided by 339?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + r + 3*s + 7 = 0, 0 = -2*r - s - 1. Which is smaller: r or 9\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 6*g - 20 = 0. Suppose -80 = 5*f - g*a, -f = 4*f - a + 68. Let k = f + 18. Solve -k = 4*d + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l + 16*l = 351. Calculate the remainder when 84 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**3 - 42*r**2 - 147*r - 108.\nAnswer: -3*(r + 1)*(r + 4)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 5*r = -25, -2*j + 4*r - 638149 = -638125 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2464 and 1067.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 + 29*b - 67. What is the remainder when 146 is divided by t(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*p**2*u**3 + p**2*u**2 - 8*p - 695*u**3 + 93*u wrt u?\nAnswer: 72*p**2 - 4170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 11\/(33\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 21*v**4\/5 + 687*v**3\/5 + 4338*v**2\/5 - 21708*v\/5 + 5832\/5 = 0.\nAnswer: -18, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l + 3. Let c be 4\/(-2) - (-2 + 6). Let p(s) = s**2 + 4*s - 11. Let a be p(c). Let u be 12\/(-1)*a\/3. Calculate o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3 = 53. Let k be 3\/(-9)*(h + -4). Sort -4, 0, k in ascending order.\nAnswer: k, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 412, 3, 0.1, 0, -9, 0.2 in descending order.\nAnswer: 412, 3, 0.2, 0.1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51509?\nAnswer: 19, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 29400 and 4.\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2\/13, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (4 - (-3 - -11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 i when three letters picked without replacement from {i: 3, s: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of 37*g**8\/56 + g**7\/14 + 1883*g**4\/12 - 60*g - 18. What is the third derivative of c(b) wrt b?\nAnswer: 4440*b**3 + 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence to when two letters picked without replacement from {e: 1, t: 1, x: 1, o: 2, w: 1, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p**33\/p)\/p*((p\/p**(3\/17))\/p)\/p*(p**(-38\/7)*p)\/((p\/p**(-38))\/p))**21 assuming p is positive.\nAnswer: p**(-4143\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 809*j + 47 = 856*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of -b**3\/3 - b**2\/2 - 540. Let v(w) = -3*w**2. Determine v(i(s)).\nAnswer: -3*s**4 - 6*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003012947938 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -201223 (base 5) in base 9?\nAnswer: -8743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 97 - 91. What are the prime factors of (-560 + g)*(3\/2)\/(-3)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3  (b) 0.5  (c) -2\/5  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-178*j**2 + 178*j**2 - 28*j**3)*(0*j + 0*j - 5*j) + (j**4 + 3*j**3 - 3*j**3)*(5 - 5 - 2) + 2*j**4 - 2*j**4 + j**4.\nAnswer: 139*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-6*-3*-5*(sqrt(80) + -1) + -2)**2 + -4.\nAnswer: -63360*sqrt(5) + 655740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 3*a + 1192 = 0. Suppose 125*q + 3*i = 130*q + 1497, 3*q = 8*i - 923. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, x: 1, u: 3, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 68*u**2 - 1227*u + 1505. Calculate f(-83).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1*3\/12)\/(-30). Let c(z) be the third derivative of h*z**5 + 0*z**4 - 2*z**2 + 0*z**3 + 0 + 0*z - 1\/240*z**6. Factor c(a).\nAnswer: -a**2*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -209 + 207. Let o(r) = -2*r + 6. Let c(w) = 3*w - 12. Let m(v) = 3*c(v) + 7*o(v). Is m(j) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 139*y - 12. Let l(a) = -280*a + 25. Determine -2*l(w) - 5*s(w).\nAnswer: -135*w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 380723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/14*(-87)\/(-117450)*315?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*(1 - 0\/2). Suppose 4*g - 5*i = -2, 0 = 5*g - g - 3*i - v. Find the second derivative of -5*a - 9*a + 16*a + g*a**5 wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**3 + 4*q**3 - q**3)*(5*q + 3*q + 3*q) - q**4 - 3*q**4 + 3*q**4 + (0*q + 2*q - 3*q)*(q**3 - 6*q**3 + 4*q**3).\nAnswer: 22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/87  (b) 980  (c) -11\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 2367708?\nAnswer: 2367708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -42*c + 6. Let a be x(-2). Suppose -55 = -s - 4*d, 6*d - a = -2*s + 3*d. Calculate the remainder when (0 + 3)*348\/9 is divided by s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 3:32 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 - t**2 - t + 1. Let n(k) = -4*k**3 + 3*k**2 + 3*k - 37. What is n(u) + 3*w(u)?\nAnswer: -u**3 - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 1301 = -3*l + 147, 0 = -2*l - 5*g + 957. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 110112?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.158557 rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2 and -1426.\nAnswer: -1428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(448)*1 + sqrt(448) + -3 - (sqrt(448)*1*-5 - sqrt(448))) + -3)**2.\nAnswer: -768*sqrt(7) + 28711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5*h - 14. Let t(w) be the first derivative of 9*w**2\/2 + 27*w - 472. Calculate -11*p(q) - 6*t(q).\nAnswer: q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 507 and 1758783.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101000111000 - 100000?\nAnswer: 10101000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + r. Let j = 135 - 134. Let v(u) = 6*u**2 - 45*u + 147. Let d(s) = j*v(s) + 3*l(s). Factor d(i).\nAnswer: 3*(i - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 + 12 = 7*m. Let z(a) = -7*a**3 - a**2 + a. Let g be z(1). What is the units digit of g\/21 - m\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 0) + 25*(-13)\/(-65).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 34 + 25)*(19*o - 46*o + 29*o + (0 + 4 - 5)*(3 - 3 - o) - o + o + o - o - 4*o + 4*o + 0*o + 3*o - 5*o)*(-4*o + 3*o + 3*o).\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 7*p**2 + 149*p - 2775. List the prime factors of b(58).\nAnswer: 3, 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 118 divide 67035947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4056\/(-9) - 6\/(-9). Let s = 1829\/4 + d. Find the common denominator of (-172)\/42 + 6\/9 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h**2 - 15 + 9*h + 7 - 2*h + 11 + h**3 in the form q + z*h**3 + u*h + o*h**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of 23*g**4\/12 + 8*g**2 - 22*g. What is the derivative of v(m) wrt m?\nAnswer: 46*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((3*sqrt(64))\/(sqrt(2) + 2*sqrt(8)) + 5).\nAnswer: 12*sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z - 1720 + 11380 = 0. What are the prime factors of z?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 627ce3 (base 15) to base 16\nAnswer: 477906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*t**5 - 2 - 4*t**5 + 0*t**5 + (-2*t + 2*t - 2*t**3)*(-t**2 - 1 + 1) + 13*t**5 + 266*t**5 + 71*t**5.\nAnswer: 348*t**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5684578.\nAnswer: 2, 113, 25153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5044 and 1047774?\nAnswer: 203268156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 719 - 716. Solve -m*i - 12 = -7*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 + (14 + -13 - (2 + 6) - -21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a96ed (base 16) in base 13?\nAnswer: -490211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -371300 rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -144785*j**3*k**2 + 13*j**3 - 2*j**2 - j*k**2 - 190*j + 2*k**2 + 40 wrt k.\nAnswer: -289570*j**3*k - 2*j*k + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from mzzzmmmmmzzzz.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10324 + 15316. Let c = -4992.000003107 + p. What is c rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 254301 and 137344?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {y: 1, e: 3, j: 1, v: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1374039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45 - (-71 + 133 + 34).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of 66*b**5\/5 + b**2 + 50*b - 155. What is the second derivative of y(k) wrt k?\nAnswer: 792*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3957141 is divided by 359729.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -9524.2 + 0.05548136826\nAnswer: -9524.14451863174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 515265 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 260*0.214.\nAnswer: 55.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -16810.837 rounded to the nearest 100?\nAnswer: -16800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*n + 0 + 16*n - 4*n**2 + 0 to a*n + s*n**2 + h and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(0 + sqrt(1331))*4)**2 + 0.\nAnswer: 85184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + a - 5*a + 4, -5*p - 4*a = -28. Let z(l) = l**2 - 5*l - 5. What is z(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21200 - 1202200?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (12 + -28709)*(2 - 63). Suppose 0 = -8*g + d + 393483. What is g rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 63797\/9 - 7097. Calculate the common denominator of 5 + 500\/(-74) + 3 and y.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 539*l + 8012. What is the least common multiple of 60 and n(-8)?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 126846339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c - 3 = -9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2316 - 5*f + 4615 - 2299.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of 2*q**2 - 4 + 0*q**4 + 0*q + 2\/5*q**5 + 0*q**3. Find the second derivative of d(z) wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*h**2*x**2 + 2*h**2 + 97*h*x**5 - x**3 + 20283*x wrt x.\nAnswer: 22*h**2 + 1940*h*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.8 + 1.2. Let o = b - 2.84. Round o to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -18, 42 in ascending order.\nAnswer: -18, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 645*u = 644*u - c - 13, -2*u = -c + 29 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2*i**2 - 31*i. Let c(p) = 1. Let y(r) = -5*c(r) + n(r). Is 10 a factor of y(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1116 - 1065. Calculate the greatest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, e: 1}. What is prob of sequence ie?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13861400*w**2 - 8182927 wrt w?\nAnswer: 27722800*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21301.77 * -6.\nAnswer: -127810.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of 1\/945*r**7 + 1\/270*r**5 + 0*r + 0 + 11*r**2 + 1\/270*r**6 + 0*r**4 + 0*r**3. Find v, given that g(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3\/2, 0.1, 15\/8 in increasing order.\nAnswer: -3\/2, -1, 0.1, 15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.6 >= 705.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.31 - -14.69. Let v(m) = -117*m + 1877. Let c be v(16). Sort c, -3, o.\nAnswer: -3, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 234 = 11*z. What is the lowest common multiple of z and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*t - 42*t - 12 = 0, -5*t + 15627 = 3*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1092 and 700?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 33.2043ns?\nAnswer: 0.000000000553405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 take away 546?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**4\/13 + 288*j**3\/13 - 276*j**2\/13 - 1424*j\/13 - 66 = 0 for j.\nAnswer: -1, 3, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -1272260 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 18106460 to the power of 1\/2, to the nearest integer?\nAnswer: 4255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 78*s**2 + 1576*s - 1596. Determine o(-22).\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of 0*t**2 - 17 + 0*t - 7\/3*t**3. Let a(m) = -9*m. Determine c(a(o)).\nAnswer: -567*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2\/(-9) + (-138280)\/(-180)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1041139.54 to the nearest 10000.\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*z - 5*y - 23, 23 - 6 = -2*z - 3*y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 16) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(-2\/29)\/j)*j*j*j)**(-31)\/((j**(3\/17)\/j)\/(j\/(j\/(j*j**20\/j*j))*j)) assuming j is positive.\nAnswer: j**(-66217\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19 - 12 - 69 - 8453*x**2 - x + 15 - 3 wrt x?\nAnswer: -16906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -170, -169, -168?\n\"Answer: l - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 114419400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5225747, 10451493, 15677239, 20902985, 26128731, 31354477?\n\"Answer: 5225746*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 + (31 - -1) + -19?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0.5  (b) -0.1  (c) 0.159  (d) -2  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103405.\nAnswer: 5, 20681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 5) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58756*g - 58718*g = -304 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2544987509 a multiple of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26.5644279 seconds to days.\nAnswer: 0.00030745865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13784602, 27569205, 41353808, 55138411, 68923014, 82707617?\nAnswer: 96492220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from obwwwwwwowioww. What is prob of picking 1 b and 1 w?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118 is divided by 71.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, z: 4, u: 4, j: 1}. Give prob of picking 1 z and 1 u.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -5\/4, 0.75.\nAnswer: -5\/4, -0.2, 0.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140*g - 140*g - 139*g - 133*g + 136*g + 557*g - 139*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -219*w + 47. Let y be n(-3). Calculate the highest common divisor of 64 and y.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29114 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - 8. Let l be (-310)\/q + (-6)\/(-39). Suppose l = t - 36. What is t rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1\/2  (b) -2\/7  (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/35)\/(20\/(-14))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1019 - -0.4\nAnswer: 1019.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*k = 20*k + 16. Let j(c) = -40*c**2 - 52*c**2 + 114*c**k. Let w(s) = -5*s**2. Determine j(w(v)).\nAnswer: 550*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + y + 23 = 0, -4*y + 5 = q - 13. Let c be ((-16)\/42)\/(q\/(-33)). What is the closest to -1 in c, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 + 103. What is the remainder when k is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3130 (base 4) to base 5.\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 51, 93, 151, 225?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*m + 7*m - 3 - 2 + 69*m - 13*m**2 - 95*m as b*m + r*m**2 + c and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o. Let z(p) = 4*p. Let m(a) = 15*f(a) + 3*z(a). Let n be m(-1). Solve -2*c + 7*c - 10 = -2*w, n*w - 15 = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/36*3*-393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 909 - -19?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -40357.54972409 - -0.60072409. Let j = 40340 + o. Let r = -0.249 - j. What is r rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10528 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13310510 to the nearest integer?\nAnswer: 3648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -0.5  (b) -6  (c) -4\/7  (d) 60  (e) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -194 + 170. Let j(n) = -3*n**2 - 72*n + 7. Let h be j(c). Calculate the highest common divisor of h and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000022522612 to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18882?\nAnswer: 2, 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l + 7 + 20 = 0. List the prime factors of (-163)\/(-1) + (-4 - l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 2183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*o**4 - 4*o**4 + 8*o**4 + (2*o**2 - 6*o**2 + 2*o**2)*(o**2 + o**2 - o**2) + 3*o**4 - 2*o**4 + 0*o**4 + 37*o**3 + 52*o**4 + 2*o**2 - 37*o**3.\nAnswer: 61*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*x**5 - 166*x - 37449*x**4 - x**5 + 4*x**2 + 37449*x**4 wrt x?\nAnswer: -60*x**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-2 - -1) + (13 - 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 - 45*o - 32. Let m be z(20). Let v be (-2)\/8 - m\/(-48). Let g(b) = -24*b - 5. Let c(r) = -132*r - 28. What is v*g(h) + 5*c(h)?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 328233216 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(1573)*-2 - sqrt(1573)) - -4*(sqrt(1573) + -3) - 6*(2 + sqrt(1573) + 0 + sqrt(1573) + 4)**2.\nAnswer: -37985 - 1573*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 294 and 2352?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbfrttb. Give prob of sequence bttf.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 190\/(-45) - 10\/(-45) - -39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304059 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**2 + r - 1. Let q be d(1). Suppose -2*t + q*j = 20, -3*j + 35 + 11 = -5*t. Calculate the common denominator of (25\/60)\/(6\/t) and -17\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/20 and -119\/276?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -0*o. Let t(l) = -l**2 + l + 4. Let c be t(0). Let i = c + o. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2*sqrt(1300) + 5 + sqrt(1300)*1*5 + 3)**2 + 3.\nAnswer: 560*sqrt(13) + 63719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) - (-1*sqrt(162) + sqrt(18)))\/((sqrt(18)\/sqrt(2) + sqrt(9))*-1)*5.\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 - 23. What is the nearest to t in 2, 0.2, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3591*p**3 + 11 + 3593*p**3 - 11.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/((4 - 2)*-1). Suppose -z + 2*s = 4*z - 12, 0 = 4*z - 4*s. Sort a, -5, 0, z.\nAnswer: -5, 0, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 - 1. Let j be s(1). Let v = 1 + j. Let k = v + 4. Solve k*m + 0 = -15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 23*z - 14*z - 8*z + 8. Suppose -4*o + 3*u - 3 + 2 = 0, 5*o = 3*u + 1. Suppose o*s + 1 = s, 0 = -w + 4*s. Calculate d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes after 9:42 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**2 + c. Let w(t) be the second derivative of -20*t**4\/3 - 50*t**3\/3 + 722*t. What is 100*a(s) + w(s)?\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10309*t**2 - 2136*t**2 + 706*t**2 - 2*t**3.\nAnswer: -2*t**3 - 11739*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-3)*m\/(m\/(m\/(m*m*m**(5\/3)*m*m)))*m\/m**(-7)*m\/(m*m**(-7)\/m)*m assuming m is positive.\nAnswer: m**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 217459?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 114\/15 - (-6)\/15. Let u = 13 - i. Solve -2*c + u*c - 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-656*x**4 + 656*x**4 - 84*x**5 + (0*x + 5*x - 4*x)*(4 - 4 + 2*x**4))*(-7 - 9 + 22).\nAnswer: -492*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 256 + 178 - 434 + 4*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -8*b + 1. Let r be f(-4). Let o = r + -13. Calculate the remainder when o is divided by ((-24)\/(-27) + (-6)\/27)*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(1\/4)*n)**(38\/7)*n**0*n*n**(11\/4)*n assuming n is positive.\nAnswer: n**(475\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -3 + 5. Suppose -28 = -s + 2*a, 0 = -13*s + 10*s + 5*a + 83. Let f = -24 + s. Put -2\/9, y, 4, f in ascending order.\nAnswer: y, -2\/9, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*w - 16. Suppose -n - n = 2, -w*n = -3*h + 68. What is the remainder when 61 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the third derivative of -j**8\/2184 + 2*j**7\/455 - j**6\/195 - 3*j**5\/65 + 5*j**4\/156 + 4*j**3\/13 + 747*j**2. Solve i(p) = 0 for p.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 2535175926\nAnswer: 2535175927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -583*v + 599. Calculate j(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6.166 - 1.166. Put 4, -2\/29, 2\/17, s in decreasing order.\nAnswer: s, 4, 2\/17, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11\/(510\/254 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-6)*(-114 + 114). Suppose -7*w = -3*w + 20, k = 3*x - 4*w - 452. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3675 (base 8) to base 15\nAnswer: 8c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(1\/4)*j*j**(2\/17)*j*j*j**(-2\/3)*(j*j**(-9))\/j)**44)**(-2\/25) assuming j is positive.\nAnswer: j**(5654\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 3 + 5 - 4*h)*(8 - 5 + 2).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 - 8*x**2 + 2*x - 14. Let b be m(6). Let a = 76 + b. Suppose 0 = -2*g + 3*g, -2*w + 392 = -a*g. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-267)\/(-445)*(-5)\/2*410\/15.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.332 + 0.3318504. What is u rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3*a + 2 = -9, 4*h = 5*a + 35. Find the third derivative of 3*r**2 + 9*r**3 - 9*r**3 - 11*r**2 - 8*r**h wrt r.\nAnswer: -480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of -j**3\/6 + 18*j. Let o(r) = 12*r**2 - 2*r**2 - 2*r**2. What is z(o(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1  (b) 5  (c) 14\/13  (d) 1.35  (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0901 and 3?\nAnswer: -0.2703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -694 divided by 1?\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 56053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 10:01 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, l: 2, e: 1, p: 5}. Give prob of sequence pe.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -46\/27 in -4\/5, -0.4, 5, 0.33?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*t**4 + 39108*t**2 - 141359*t.\nAnswer: -24*t**2 + 78216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 4*g + 4*f + 24, -3*f = -3*g + 27. Let l(v) = 10*v**2 + 4*v + 0*v**3 - 1 - v**3 + 3*v - g*v**2. Calculate l(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -117*f**4 + 61*f**4 + 2*f - 1 + 58*f**4 + f**3 to z*f + r + h*f**3 + v*f**4 + t*f**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/14 - (-3859)\/1589)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3192565309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 18 = 2*c - 2*b, -4*b = -2*c + 2. Sort 0, c, -14 in ascending order.\nAnswer: -14, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k**2\/2 - 1217147178*k - 246907875485560614 = 0.\nAnswer: -405715726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-30) - (-15615)\/150*(-6)\/(-27). Let z(p) = -p**2 + 24*p + 3. Determine z(o).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 2\/3 - 1. Let p = 50\/63 + -4\/7. What is the nearest to p in d, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 11*h**2 + 12. What is the remainder when 44 is divided by q(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/96800 and -139\/23622830.\nAnswer: 1889826400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3\/5 + 3892234*i**2\/5 + 1893656496752*i\/5 - 5681144642136.\nAnswer: 2*(i - 15)*(i + 973066)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, a: 1, m: 1}. What is prob of picking 1 a and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1047 divided by -24.\nAnswer: -349\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6\/4 + 1\/(-2) - -3 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 smaller than -62\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 312311071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 731 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4390816002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**2 - 7*f - 5. Let j be t(8). Suppose -2*y - 22 = s + j*y, 3*y = -5*s. Solve -3*i + 4*n = 5, n + s*n = -3*i + 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -18*i - 439. What is the remainder when q(-40) is divided by 499\/7 - 8\/28?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 6 = -2*t. Suppose -5*y - 39 = t. What is y rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 5*b = 11276, 0 = -12*g + 9*g + 4*b + 8458. What is the greatest common factor of 42 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2725 >= 2727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/((-8)\/(-6)))\/(6720\/256).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 7, p: 2, i: 8, d: 1}. Give prob of sequence idip.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -0*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 25 + (3892\/(-28) - -94)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17544 divided by -1032?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.848 - -4745582971\nAnswer: 4745582971.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 4*f**2 - 2*f. Let b(a) = 35*a**2 - 53*a**2 + 21*a**2. Calculate l(b(c)).\nAnswer: 36*c**4 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a + -2642?\nAnswer: -2651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 10. Suppose 0 = 5*m - 3*k + 1, 4 = t*m - 3*m + k. Let p(b) = 3*b**3 - 2*b**2 + b + 1. Let u be p(m). Solve u*f = 8*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 32*j**2 - j. Let m(g) = -9*g - 178. Let w be m(-20). Let l(x) = -4*x - w*x - 2*x + 9*x - 2*x. Determine y(l(z)).\nAnswer: 32*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vxmwxqmrv. What is prob of picking 2 x and 1 v?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -11496.61383 to zero dps.\nAnswer: -11497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 t when three letters picked without replacement from {t: 2, a: 4}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - -7 - ((31 - 6 - 16) + -7 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, d: 1, t: 2, x: 3}. What is prob of sequence dot?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = 2*z + 1, 130*z - 131*z - 13 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k**3 - 1092*k + 2160 = 0.\nAnswer: -20, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 12480*d**2 + 7*d - 8269. Let o(j) = -18721*j**2 - 10*j + 12408. Let x(p) = -10*a(p) - 7*o(p). What is the derivative of x(b) wrt b?\nAnswer: 12494*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8.965 + 8.465. Which is the closest to -1?  (a) -194  (b) r  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 2*i - 9. Suppose -i*o = -o - 28. Let x = 23 - o. What is the smallest common multiple of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-36)\/(-8) - (-1)\/(-2). Let d = 53.9 - 14.8. Let j = -39 + d. What is the nearest to -0.1 in j, 7, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -0.1, 0.4 in increasing order.\nAnswer: -5, -0.1, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*f + 4*f**2 - 19*f + 44*f.\nAnswer: 4*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 3*f**2\/2 - 3237*f\/2 - 14688 = 0.\nAnswer: -9, 1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -94275 divided by -18855\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -105*b**2 - 6*b + 22*b**2 + b. Let z(l) = 25*l + 95*l - 3*l + 1950*l**2. Let m(y) = -117*f(y) - 5*z(y). Let t(p) = -2*p**2. What is t(m(d))?\nAnswer: -3042*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9645395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 87 or 7?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2303, 2311, 2325, 2345?\n\"Answer: 3*d**2 - d + 2301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 240180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23211 is divided by 7735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 1:25 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12780\/19170*60\/1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 3*a**2 - 153*a + 166. Calculate u(22).\nAnswer: -1748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -36937*r**2 - 10457 wrt r?\nAnswer: -73874*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 3*n - 5 - 9 = 0, 4*h = 3*n + 10. Solve 0 = -h*d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -149 and -1.8.\nAnswer: 268.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1140 and 1418790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + 1313132?\nAnswer: 1313133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y - 4. Let i be u(-11). Let j be (-2)\/(-3) - (-24)\/i. Suppose j*n = 6 + 46. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -3. Let o(d) = 3*d - 13. Let v(j) be the third derivative of -j**4\/6 + 7*j**3\/3 - 9*j**2. Let c(s) = -3*o(s) - 2*v(s). Determine c(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/107  (b) -1\/5  (c) -2\/11  (d) -4\/7  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -13*g**2 - 5*g**2 + 27*g**2. Let j(d) = 11*d. Determine j(i(t)).\nAnswer: 99*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 6, s: 2, h: 2, p: 3}. Give prob of picking 2 h and 2 u.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 457082370 to the power of 1\/2, to the nearest integer?\nAnswer: 21379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 9698621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -122325 greater than -122325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 0. Suppose -g + 8 = u*g. Suppose k = -2*j - g*j - 12, -4*j - 20 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2414525 divided by 2414525?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -52 - -286. What is the greatest common factor of 195 and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 5  (b) 6  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 390 = -5*k, -2*k - 185*x + 160 = -182*x for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/8 and -117\/322?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + 7. Calculate the remainder when 37 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 7) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -t**2 - 24860*t + 176423 with respect to t.\nAnswer: -2*t - 24860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 383*f**2 + 8*f + 68. Is l(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -3*j - 237, -5*h + j = -0*h - 229. Let q = h - 29. Solve -2*m - 2*m - q = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10 - 5 - 5 + 98*q to the form d + j*q and give j.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l - 2. Let q(y) = 6*y - 6. Let f be (4 - 12\/4 - 7) + 9. Calculate f*q(t) - 10*v(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1565620 divided by 265.\nAnswer: 5908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4281 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 i(m) = m**2 - 4*m - 82. Let w be i(-8). Let b be (9 - w) + 5 + 3. Let g(c) = -2*c**2 + 3*c + 4. Calculate g(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (8 + -7 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 48*i + 644. Let u be w(-13). Let t = -34 + 51. Are t and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2651692957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 26\/(-12) + (-2 - 35\/(-10)). What is the nearest to -1 in r, -2\/9, 13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 - 16. What is the least common multiple of y and 40\/25*(-5)\/2*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -379 minus -2.73?\nAnswer: -376.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8056424 grams to kilograms.\nAnswer: 0.0008056424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((3 + (-2 + 4*sqrt(32) - (sqrt(72) + sqrt(72) + 0 + -5*(sqrt(2) + sqrt(2) + 1) + sqrt(2) + sqrt(2))))*1)**2.\nAnswer: 144*sqrt(2) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -2*d + o, 2*d - 61 + 7 = 3*o. Suppose -l - 2*r + d = 0, 0*r + r = 4*l - 99. Suppose -g - 4*g = -l. Let x(q) = -q**2 + 5*q + 7. Give x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -4*s**3 - 19*s**2 + 8*s + 2. Let g(m) = -5*m**3 - 20*m**2 + 7*m + 3. Let z(y) = -5*g(y) + 6*k(y). Give z(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 442155 (base 12) to base 16\nAnswer: 108251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -8*f**2 + 7*f + 7. Let o(w) = -7*w**2 + 6*w + 6. Give -7*o(c) + 6*r(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of -h**2 - 507. Let q(j) = 415*j**2. What is i(q(g))?\nAnswer: -830*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1986437 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 93118352 to the nearest integer?\nAnswer: 9650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) -4  (c) 2  (d) 1\/2  (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2510344 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 13 = 3*x, 17 = x - 0*x + 4*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20982202 a multiple of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 4*z - 359 - 169 = 0, -2*r + 7*z + 274 = 0. Solve 12*f = 38*f - r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - 31. Suppose v - 12 - 16 = 0. What are the prime factors of (v + u)\/(2\/4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -4*x + 2*k + 18, -3*x - 4*k - 3 = 0. Let o(c) be the second derivative of 1\/60*c**4 - 1\/15*c**x + 0 + 1\/10*c**2 - 2*c. Solve o(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {i: 5, p: 2, y: 1, o: 2, z: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(-3 + 5 + -1). Let c be o - 1 - (1 + 3). Solve c*r = a + 1 - 10, -15 = -3*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 55, 127, 239, 397, 607, 875?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - c + 96 = 0. Let b be -3 + 4\/c*22. What is the third biggest value in 4, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -99\/14 and -47\/514.\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g + 9*g = 2. Put -2, -5, g in increasing order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35015\/38 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**4 - 52*f**3 - 132*f**2 + 308*f + 392.\nAnswer: -4*(f - 2)*(f + 1)*(f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 2\/9  (b) 4  (c) 22  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 132019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/3)\/((-2)\/18). Let g be (o\/(-2))\/((-15)\/(-20)). Solve 5*p = 4*l - 35, -g*l + 4*p = -0*p - 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of -18*d + 7\/2*d**2 - 5\/3*d**3 + 0. Find the first derivative of z(o) wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2093*k + 2193. Let l be u(1). What is the greatest common factor of l and 1720?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.93589 + -0.06411. Let q = -1 - -5. Let i be ((-87)\/290)\/((-12)\/(-10)). What is the nearest to i in q, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 v, and 2 c when four letters picked without replacement from {w: 1, z: 3, v: 2, c: 4, p: 6}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 362298.\nAnswer: 2, 3, 60383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + -4 + 6)\/1. Suppose 0*x + 3 = -x - 3*s, q*s = -5*x + 11. Suppose 8*v - x*v = -3*b + 59, -b = -v - 25. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -243948, 2, -13, 4 in descending order.\nAnswer: 4, 2, -6, -13, -243948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.1 + 2. Let z = 12 - 11. Let u = z + -1.4. Put u, l, -1\/4 in ascending order.\nAnswer: u, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - h**2 - 6*h + 7. Let g be p(3). Suppose g*j + j = 24. Solve -j*l + 5*k - 2 = 0, -2*l = k - 0*k + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, v: 6, k: 7, p: 2, m: 1}. Give prob of sequence kw.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 16751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5903.292513 rounded to the nearest one hundred?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 11, z: 1}. What is prob of sequence bz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8 - ((-143)\/55 - 15\/(-25)). Let u(n) = 2*n - 3. Let o(m) = 6*m - 10. Suppose -3 = 2*z + 3. What is x*u(j) + z*o(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 16460 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 472\/5 + -94. Sort 1, 2, l in decreasing order.\nAnswer: 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 * -1.5\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v**3 + 24*v**2 + 4*v - 4. Let l(f) = 5*f**3 - 72*f**2 - 11*f + 11. Let x = 214 - 203. Let w(k) = x*t(k) + 4*l(k). Solve w(s) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h + 2 = 10*h. Let n = -8209 - -49403\/6. Let x = -1949\/78 + n. Which is the closest to 1?  (a) h  (b) 2  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2630, -5103, -7560, -10001?\nAnswer: -12426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 14*u + 8. Let f(a) = -5*a - 3. Let s(r) = -11*f(r) - 4*h(r). Let z = -6 + 17. Let v(k) = -k**3 + 10*k**2 + 12*k - 16. Let n be v(z). Calculate s(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1727563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnnmn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2326 is divided by 213?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -41\/8 + 61\/8. Is m at most -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/7, -1\/5, -52193?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -79\/86 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from zppgpzzgpzz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000897386825 rounded to seven decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffxffff?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 280778 is divided by 532.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 + 6*l - 6. What is p(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + 0. Let b(o) = -o**3 + 3*o**2 + 4*o + 6. Let t be b(v). Solve 4*y + 8 = t*l - l, 0 = 4*l + 5*y - 31 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*m**2 - 8*m**2 + 2*m**3 + m**4 - 11*m + 4*m - 9*m in the form a*m**2 + v + n*m + i*m**4 + z*m**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 - 6368?\nAnswer: -6362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 + 3\/2*v**2 - 3*v - 1\/4*v**3.\nAnswer: -(v - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1229246855?\nAnswer: 5, 3911, 62861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2529\/(-1686) + (66\/(-8))\/(-3)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/((-3)\/24))\/(-1). Let j = k - -11. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 29580  (c) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of -o**6\/90 - o**4\/4 - o. Let z(c) be the third derivative of b(c). Suppose 4 = -5*p + p. What is z(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2013bc2 (base 14) to base 11\nAnswer: -8589998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -29*q + 38*q. Suppose 5*z + 14 - 4 = 0. Let a be (8 - 5) + 0 + 2. Sort z, 1, a, q in decreasing order.\nAnswer: a, 1, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-42))\/(9\/(-63)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -18*n + 274. What is k(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 253680 by -21.\nAnswer: -12080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 911.4287m in millimeters?\nAnswer: 911428.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -154.3 + 1245.\nAnswer: 1090.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -5*x - 3. Let t(m) = -14*m - 9. Let j(i) = -17*o(i) + 6*t(i). Let w be j(5). Put 6, -2, w in increasing order.\nAnswer: -2, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -7*1\/(-3)*3. Is (j - 2)\/(-5)*-251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -6*c**2 + 79*c - 13. Let b(n) = 4*n**2 - 39*n + 7. What is 5*b(k) + 3*z(k)?\nAnswer: 2*k**2 + 42*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.46254 litres in millilitres?\nAnswer: 33462.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.61 in -1, -11, 1, -253?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -847 = -4*t + l + 3120, 3*l - 1008 = -t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 579669654.1 rounded to the nearest 10000?\nAnswer: 579670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 15319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 118025859779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-4))**(-4\/17) assuming g is positive.\nAnswer: g**(16\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (13 - (4 - -3) - 17)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (15 + 0)*(92\/20 + -5). Let y(a) = -53*a**3 - 17*a**2 + 17*a - 17. Let w(l) = 18*l**3 + 6*l**2 - 6*l + 6. What is z*y(x) - 17*w(x)?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 132\/(36828\/155)*(9\/2)\/3\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -811, -1841, -3071, -4489, -6083?\n\"Answer: 2*g**3 - 112*g**2 - 708*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = k - 3*c + 10, 3*k = -4*c + 27. Let m(d) = -d**2 - d. Let a(j) = -j**3 - 4*j**2 - 5*j - 1. Calculate k*m(p) - a(p).\nAnswer: p**3 - p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1  (b) -2\/13  (c) -0.3  (d) 0.2285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1175\/84 - 278\/21. Which is smaller: t or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4260199.\nAnswer: 19, 224221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/954 and 91\/2?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - -154?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1615.7939 - 236169.3?\nAnswer: -237785.0939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from lblllbbblb.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/3 in -2, -3, -4\/13, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 494*n**2. Let h(x) = -2*x**2. Calculate h(b(k)).\nAnswer: -488072*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 19566.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*v**3 + 0*v**3 - 4*v**3)*((v + 2*v - v)*(179*v + 70*v + 333*v) - 2*v**2 + 2*v**2 + 2*v**2).\nAnswer: 1166*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3343 = 9*h - 3352. Suppose 2*x + 4 = -2*a, 2 - 3 = 3*x + 2*a. What is the second biggest value in x, 1\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.1 and 471759 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) 3  (c) -0.03  (d) 4\/3  (e) 1.4  (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -621 and 1?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*(((w*w**0)\/w)\/w)\/w)**(-37)\/((w*(w*w*w**(3\/2)\/w)\/w)\/(w\/w**(-2\/17)))*w**0*w\/(w\/(w*w*w**(6\/11))*w)*w*w**(-8)*w*w*w\/w**(2\/21) assuming w is positive.\nAnswer: w**(259715\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.9772 + -1.3772. Let h = 20.01 - 21.7. Sort n, -5, h in decreasing order.\nAnswer: n, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1144 + 1136. Is z at most -46\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 5*m**4 - 182352*m**3\/5 + 196913*m**2\/5 - 14586*m\/5 = 0.\nAnswer: 0, 2\/25, 1, 7293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3794 + -3768. What is the highest common factor of n and 7982?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 811314185*a**6 + 384475111*a**2 wrt a?\nAnswer: 97357702200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of 5*g**3\/6 - 8*g. Let l(q) = 11*q. What is 5*j(r) - 2*l(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + m**2 + m - 8. Let c be l(4). Calculate the least common multiple of 6 and (c\/(-130) + (-18)\/20)*-140.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + 243?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from phhpp. What is prob of picking 1 h and 1 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -58*d - 6994. Let k be y(-123). Which is smaller: 703\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*l + 20*l = 27*l - 11280. What is the remainder when 772 is divided by l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 2*u**2 - 2*u + 1. Let k be d(2). Let a be k - (6378\/(-24))\/((-1068)\/(-73)). Let q = 3\/1424 + a. Find the common denominator of -71\/14 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2428147 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15679*d**3*f**2 - 5*d**3*f + 122*d**3 + d**2 - d*f**4 + 2*f wrt f.\nAnswer: -31358*d**3 - 12*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8949 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a + 8. Let j be q(7). Let l be j\/(-3)*(-9)\/(-6). Let x be 0\/(l\/6*-2). Solve 0*m + 2*s = 3*m, 5*s = x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t**3 - 38*t**2 + t**3 + 36*t**2)*(-2*t**2 - 3*t**2 + 0*t**2).\nAnswer: 20*t**5 + 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2 + (sqrt(98)*-2 - (sqrt(2) - sqrt(6)\/sqrt(3)*3)) + 4 + sqrt(288) + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1423*k**2 + 1431*k**2 - 5733*k**2 + 1430*k**2 + 1438*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4243 - -4242. Which is the nearest to 0.042?  (a) 0.1  (b) h  (c) 1\/3  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.109, -5, -2\/3?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8 - (-136)\/24 - -3) + 114\/(-198).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -6. Let t(c) = -c**3 - 2*c**2 + 5*c + 1. Let y(a) = -2*a + 5 + a**2 - 5. Calculate h*y(p) + 2*t(p).\nAnswer: -2*p**3 + p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -11*c - 13. Let g(r) = -4*r - 4. Let d(v) = 8*g(v) - 3*p(v). Let m be d(-4). Factor -4*n + 4*n**2 - m*n**2 + 4 - 2 + n**2.\nAnswer: 2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-5)*((-75)\/2)\/(-5)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q**3 + 2*q**3 - 11*q**3 - q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001109171983 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -7*d - 16. Let k = 6 + -16\/3. Put -3, k, d in descending order.\nAnswer: k, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -199 - -203. Let m(v) = -v + 8 - 15 + d. Let f be 2*(10\/4 - 1). Let k(w) = -2*w - 3. Calculate f*k(i) - 4*m(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + 30*o**2 - 64*o + 22. Let f(d) = -4*d**3 - 80*d**2 + 89*d + 73. Let w be f(-21). Give x(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 496316 and 381.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156)\/sqrt(3))\/sqrt(4) - ((sqrt(13) - sqrt(52)\/sqrt(4)) + -3) - 5*(2 + -1 + sqrt(13)).\nAnswer: -4*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 275*i - 25. Let y(s) = 17*s - 30. Let n(j) = -27*j + 38. Let m(g) = -4*n(g) - 5*y(g). Give 2*c(z) - 25*m(z).\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*y - 158*y - 31*y - 81*y to the form c*y + j and give c.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 3*t - 17 = 0, -366*d + 361*d + 63 = 4*t for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 324b9 (base 13) to base 8.\nAnswer: 261431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(-2)\/j)*j)**(13\/3) assuming j is positive.\nAnswer: j**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 13, -211.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -25 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 divided by -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-13)\/(-3) - (-3)\/(-9). Let c = 0 + y. Suppose -c*h = -8 - 72. Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12494.6 - -12495. Which is the closest to 0.1?  (a) g  (b) -5  (c) 0  (d) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30*m - 309 + 309 + (-6 + 3 + 1)*(-6 + 4*m + 6 + (-3 + 1 + 4)*(6 - 21*m - 6)) to the form g*m + b and give g.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - 2\/(-2)*0. Let q be (-3)\/f*(0 + 2). Solve -5*c = -2*y - 19, -q*c + 3*y + y + 3 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -10*q**3 + 2*q**2 + 2*q. Let n(x) = -170*x**3 + 35*x**2 + 35*x. Determine 35*d(b) - 2*n(b).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1909 + 47711\/25. Let n = z + 37\/200. Sort 18, 2\/7, n in ascending order.\nAnswer: n, 2\/7, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -72.081 + 0.081. Let c = -708 - -703. What is the smallest value in 4, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -851*n + 12. Let c(a) = a. Calculate c(w(u)).\nAnswer: -851*u + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1162.4 or -85.9?\nAnswer: -85.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2066 + 4701. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 320 = -4*p. Let m = 162 - p. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 109*z - 1630. Let r be d(68). Calculate the highest common divisor of r and 236.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, f: 3}. Give prob of picking 1 f and 2 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2383 is divided by 178?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = -29*r - 355 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 4*m + 28 - 8 = 0, -4*f + 20 = -5*m. Suppose -2*y = 2*z - y - f, 5*z - 4*y - 19 = 0. Solve -2*p + 5*p - z = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 387 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/5 - 23114*w\/5 - 9244.\nAnswer: -2*(w + 2)*(w + 11555)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q + 14. Let n(y) = -y + 12. Let j(w) = -4*w + 35. Let z(r) = -6*j(r) + 17*n(r). Calculate the remainder when z(4) is divided by b(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c. Let o be (2 + -5)*(-12)\/18. Let f(a) = -3*a + 3*a + o*a. What is v(f(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 299*r + 1. Let c be n(1). Suppose -4*a = -316 - c. What is the highest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*i*m**3 - 4*i*m**2 + 171*i*m + 4*i + 824*m**3 - 2 wrt m?\nAnswer: 96*i + 4944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3585294?\nAnswer: 2, 3, 409, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.02 - 0.08. Let j = 0 - -5. Let q = -2\/39 + -16\/195. Which is the nearest to -3\/5?  (a) j  (b) g  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -90 + 89.999895. Round a to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38983017?\nAnswer: 3, 409, 31771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 22961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*r = 4*r - 14256892. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -53 + 156\/13.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m. Let l(w) = -6*w**2 - 320*w + 5. Give l(q(c)).\nAnswer: -24*c**2 + 640*c + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*f + 4*f - 32460. Is (0 - (-1)\/(-3))\/((-2)\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/5, -414, 49676.6?\nAnswer: 49676.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*p**3 - 15*p**3 - 36*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 71 + -71. Let n(h) be the third derivative of 0*h**5 - 5\/24*h**4 + c*h + 1\/30*h**6 + 0 + 0*h**3 + h**2. Find the second derivative of n(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + -4 - (5 - (11 - 6) - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 91\/18 + -709\/126. Suppose 3 = 5*r + 13. Let i be (-4)\/(-2) - (5 - r). Sort -1, i, y.\nAnswer: i, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4663352832 to the power of 1\/4, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*r**3 - 163488713*r**2 + 14692*r - 3711 wrt r?\nAnswer: -12*r - 326977426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, 1093, 16, -6 in increasing order.\nAnswer: -27, -6, 16, 1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 26486 divided by 17?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 + 4*l - 9. Let i(f) = -3*f**2 + 11*f - 26. Calculate 6*i(j) - 17*r(j).\nAnswer: -j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12422751?\nAnswer: 3, 11, 19, 19813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 132 + -78. Let q be (3\/(-2))\/(m\/(-252)). Suppose 0 = -2*b + 47 - q. Solve 3*j = -j - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 8*w - 11. Let o(s) = 3*s + 5. Let v(q) = 2*q + 4. Let p(r) = 3*o(r) - 4*v(r). Give -g(c) + 6*p(c).\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -80*b + 276. Let g be k(3). What is the greatest common divisor of 16812 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*w + 171*w + 2379 = 122*w + 52*w for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(-1 + 15\/12). Solve -t + n = 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2459, 4917, 7375?\nAnswer: 9833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6 + (2 - 3)*1. Suppose -2*x = -q*b - 30, -3*b + 0*x - 18 = -5*x. Let s = 19\/56 - 5\/8. Is b less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**4 + 120*v**3 + 2684*v**2 + 26520*v + 97682.\nAnswer: 2*(v + 13)**2*(v + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - 198*k**2 - 679*k + 55182. Determine q(-193).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -653105 and 40.\nAnswer: -653065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.60823664 rounded to three dps?\nAnswer: 3.608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b72 (base 12) to base 3.\nAnswer: -11122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19 - -22. Suppose h = -i*h + 96. Let q be 4\/(-16)*h\/10. What is the nearest to -0.1 in -4, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 = w + 5*m, 0 = -5*w - 7*m + 72 + 40 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-4) + (-183798)\/32. Suppose n + 2*m = 5750, 0 = 2*n + m - 11382 - 112. Let d = n + a. Calculate the common denominator of 79\/14 and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (164205\/(-1335))\/(-18 + 6)?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0240647847 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**1)**(1\/16)\/(z\/z**(-2\/7))**(1\/24))\/((z\/z**(-1))**13*((z\/(z\/((z*z**(1\/3))\/z)))\/z)**(-3\/11)) assuming z is positive.\nAnswer: z**(-32245\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -249 - -252. Suppose 2*h = -5*m - 2*h + 35, s*h = -2*m + 21. Solve -m*g - 7 = 4*k, g - 3*k = -g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 832*u + 67 = 829*u + 2*t - 6*t, 4*t = -14*u - 254 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 90.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(416)*2 - sqrt(416) - sqrt(416)))\/((sqrt(882) + sqrt(18))*5)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rvrbivaaivavrrrr. Give prob of sequence aivi.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -72255 - -1806377\/25. Let s be (-6)\/8*3*4. What is the third biggest value in f, 1\/5, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = 0, g - 52 + 51 = -5*a - 4*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -22*s**4 + 3*s + 2. Let r(w) = -65*w**4 + 8*w + 7. Let f(o) = 7*b(o) - 2*r(o). Find the second derivative of f(t) wrt t.\nAnswer: -288*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2593 - -2593.0001368. What is s rounded to 6 dps?\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 905875 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.7  (b) -2  (c) 3  (d) 1  (e) -0.418\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255106424 a multiple of 1004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11.07 + -12.008. Let g = v - 0.062. Put g, -4, -2 in descending order.\nAnswer: g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 + 16\/(-2) + -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/260 and 3 + 635\/(-60) + (-8)\/12.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.01?  (a) -2\/3  (b) -22  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -492*f + 589*f = -931*f - 18504 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 - n**2 + 3*n + 1. Let d(s) = -8*s**3 - 81*s**2 + 4*s + 1. Calculate -d(p) + u(p).\nAnswer: 7*p**3 + 80*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o = 18*o - 154. What is the remainder when 62 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 6*p - 3*p)*((4 - 3 + 0)*(-9 + 11 - 5)*(11*p - 2*p - 2*p) + 5 + 2*p - 5).\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -2. Suppose -3 = 3*i, 2*u = 4*i + 13 + 9. Let w(z) = z + 6. Let g be w(u). Sort 3, g, s in descending order.\nAnswer: g, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10741 is divided by 5354.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4640053 - 4640051. Suppose -15 = -3*s - 0*s. Suppose -s*o + 3 = -7. Solve 2*q + 5*i + 5 = -o*q, m*i = -3*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a - 2. Let t be i(5). Let f(m) = 9*m - 80. Let p be f(9). Put 8, t, p in ascending order.\nAnswer: p, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -128*b**4 + 96*b**3 + 30*b**2 + 2*b.\nAnswer: -2*b*(b - 1)*(8*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 249 and 17513.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3618, 7238, 10858?\n\"Answer: 3620*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of g**4\/2 + g**2 - 2*g - 69. Let b(i) be the first derivative of -3*i**4\/2 - 7*i**2\/2 + 7*i - 12. Give 4*b(h) + 14*z(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*m - 21. Let y = m + -4. Suppose 3*k - 19 = -2*l, k - 1 = y*l - 3*l. Solve 1 - l = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 82 and 5.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2 = 0, 5*d - 295 = -7*i + 2*i. Suppose 4*h - u = d, -h - 2 = -2*u - 10. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57623, 57622, 57621, 57620, 57619, 57618?\nAnswer: 57617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 902 is divided by 157?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, a: 1, n: 5, h: 5, g: 1, o: 2}. What is prob of sequence nn?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of h**7\/21 + 41*h**6\/30 + 157*h**4\/12 + h**2\/2 - 73*h. Find the third derivative of t(k) wrt k.\nAnswer: 120*k**2 + 984*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2003017683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5685, -11358, -17005, -22614, -28173, -33670, -39093, -44430?\n\"Answer: 2*k**3 + k**2 - 5690*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = -48 + 63 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 118440973 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -3*m - 22, 19*m - 18*m - 88 = -4*h. Suppose -3*s - 117 = -2*l, -4*l + 239 = -2*s - 7. Calculate the remainder when l is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 - 11*u**2 + 18*u - 14. Determine m(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*a + 140 = -9*a. Let x(i) be the second derivative of i**5\/20 - i**4\/6 - 2*i**3\/3 + i**2\/2 + i. Calculate the remainder when 116 is divided by x(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12604291.56 - -0.2.\nAnswer: 12604291.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 17*w**2 + 5*w - 14. Suppose -5*o - 6*g - 33 = -5*g, 4 = 2*g. Let c be j(o). Let i = c - 403. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25279?\nAnswer: 17, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3*x**3 - 3 + (0*x + 3*x + 5*x)*(0*x**2 - x**2 + 3*x**2).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 2*r. Differentiate r - 6 + 1 + 2 + 5*x wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -3. Let f = u - -0.1. Let l be (-2)\/(-9) - (-70)\/(-72). Which is the closest to f?  (a) -2\/11  (b) l  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14404?\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*w = 11*w - 4*k + 10, -k = 2*w - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5*-7*-1 - 130\/(-65). Let z = 39 - g. Let j be ((-3)\/(-3))\/2 - (-9)\/z. Sort 2, -5\/3, j, -10 in increasing order.\nAnswer: -10, -5\/3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 41*d**2. Let o(q) = -2*q. Calculate o(c(g)).\nAnswer: -82*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 104, 215, 324, 431, 536, 639, 740?\n\"Answer: -y**2 + 114*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 4:19 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 4*p - 80. Suppose -3*z = 4 - p. Let g = -0.98 - -0.58. What is the second biggest value in g, z, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*s - 32*s + 4*t = 12, s + 2*t = 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z = 6 - 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 0, -1 in decreasing order.\nAnswer: 17, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 848\/84 - 12\/28. Is 10 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 46*f = 48*f + 33, -141 = -3*n - f. What is the greatest common factor of 1440 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 799?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seventy-one fifths of a centimeter?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3106 (base 8) to base 10.\nAnswer: -1606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 5.022882 millennia?\nAnswer: 5022.882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - -44) + -17 - -30 - -26?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.34, -4 in descending order.\nAnswer: -0.34, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2a + c6?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h + 6*h - w = -6, 3*w = -5*h - 2. Let p(v) = -h + v**3 + 10 - 5 - 2 + 11*v**2. Calculate p(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6137 + -4096. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*c + 240 = 7*c. Solve c*y - 4*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 329009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*s**2 + 11 - 121*s**2 - 5*s - 13*s + 2*s + 15*s.\nAnswer: -82*s**2 - s + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3 + 6*w**2 + 27*w.\nAnswer: -w*(w - 9)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/28050 and 139\/78.\nAnswer: 364650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 greater than or equal to -51\/1303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 596510 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -2 - u + 0*u**2 - 4\/3*u**3. Differentiate k(p) with respect to p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1486 or 1451?\nAnswer: 1486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 x when three letters picked without replacement from {k: 2, x: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1*6\/48)\/(-2))\/(47\/846)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-6)\/n**(-2))**30 assuming n is positive.\nAnswer: n**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -3025.\nAnswer: 1\/3025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -4. Suppose -12 = -u + 4*f, 5*u - 5*f - 597 = -582. Put -3, i, 4, u in ascending order.\nAnswer: -3, u, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + 1 + 112 + -110.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/26641 and -15\/676.\nAnswer: 18009316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2 + 164*m - 162.\nAnswer: -2*(m - 81)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pprjkkkkjr. What is prob of sequence prk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -4*g. Let b(v) = 29168*v. Determine b(k(m)).\nAnswer: -116672*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2206, 19, 4, 13, 5 in descending order.\nAnswer: 19, 13, 5, 4, -2206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-58)\/(-22) - 3)*3\/(-2)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g + 6. What is u(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**2 + 11*l**3 - l**2 - 15*l**3.\nAnswer: -4*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 12 + 16 = -2*n, -8 = -4*x - 2*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 + 384*s**2 + 2103*s + 823. Give g(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 692433632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b**2 - 346575*b + 346575*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 30\/42331 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -77 - -103. Calculate the lowest common multiple of 2 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 8 + 4, -5*a - 48 = 4*w. Calculate the remainder when -6*-34*(-3)\/a is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (216\/45)\/(-12) - 46004\/(-10). Round i to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21212 divided by -4?\nAnswer: 5303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-13)\/(-5) + (-8)\/60*-3. Let z be 3\/(6\/20) - -2. What is the greatest common divisor of z and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 29*j**3 + 40*j**2 + 2*j**2 + 2792*j - 1396*j - 1396*j as r*j**2 + v*j + s + y*j**3 and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2, 0.31, 0.4, -1.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 13*d + 23. Let c(r) = 9*r + 16. Let o(y) = -7*c(y) + 5*k(y). Let l(n) = -n - 3. Calculate 3*l(u) + 2*o(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -292 = h - 3*h - 4*d, 0 = 3*h - d - 452. Calculate the highest common factor of h and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 61.19086 years?\nAnswer: 0.6119086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zgna when four letters picked without replacement from nazgz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 4 = 2*j, 0 = -r - 0*j + 2*j - 6. Suppose -u = -4*l + 8, 5*u + 24 = 2*l + r*l. Let y(p) = 5*p**2 - p. Let v be y(l). Solve -v*a = -15 + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in -0.2, 163, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 322 (base 4) to base 12.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 16dd + -1?\nAnswer: 16dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 26 - -18167528?\nAnswer: 18167555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of -x**6\/360 - x**5\/60 + x**4\/24 - x**2. Let l(b) be the second derivative of y(b). Is l(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxvpipvi. What is prob of picking 1 x, 1 p, and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 4 - 3*t**2 + 13*t**2 - 9*t**2 - 8*t. Suppose -y - 13 = 2*f, -3*y = -4*f + 4 - 5. Let b be j(f). Calculate the highest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -r + 2. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110312219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 1.8, 1, -7, -3, -0.2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((20\/48)\/(14\/(-126)))\/((-27)\/108).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 558065.5 rounded to the nearest one thousand?\nAnswer: 558000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1788, -1768, -1726, -1650, -1528?\nAnswer: -1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 127 by -8358.\nAnswer: -127\/8358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of m**5\/20 + m**4\/6 - m**3\/6 - 3*m. Let a(z) = 3*z**3 - 2*z - 1. Let k be a(-1). Is o(k) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1127982 greater than or equal to -1127948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12120764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o. Let k(x) = 5*x + 3. Let u(i) = -2*k(i) + 14*t(i). Let z be u(3). What are the prime factors of z + -3 + (1 - -48)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16 - 27 - 320*y + 11 in the form h*y + g and give h.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of -1\/42*s**7 + 1\/3*s**4 + 0*s**2 - 10*s + 0*s**5 + 0*s**3 + 0*s**6 + 0. What is the third derivative of b(u) wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + sqrt(38)\/sqrt(2))*-1)**2 + (((sqrt(19) - sqrt(19)*-2)*4)**2 - sqrt(19)).\nAnswer: -sqrt(19) + 2812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.02 - 0.01. Let r = -0.0479 + 3.0579. Let m = r - g. Which is smaller: m or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + g - 5 + 10 = 0, 4*t + g = -6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + -18203?\nAnswer: -18208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30 + -26. Let o(z) = 3 + 6*z - 3*z - 1. Let f be o(s). Calculate the highest common factor of 154 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1001454 is divided by 1129?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -108462, -216828, -325192, -433554?\nAnswer: -541914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 604508 divided by 1913\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of -419*g**4\/3 + g**3\/3 - 863*g**2\/2 + 2*g - 1373. What is the second derivative of b(m) wrt m?\nAnswer: -3352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**7*j)**(-2\/67)\/((j*j\/(j**(-1\/21)\/j*j))\/(j*j*j*j\/(j\/j**(-4\/7))*j)) assuming j is positive.\nAnswer: j**(1565\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 958 divide 85634662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 56301 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) -7  (c) 2413\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -5555*l. Let m(a) = -41*a**2 - 6*a - 6. Let c(r) = -7*r**2 - r - 1. Let v(p) = -6*c(p) + m(p). Determine v(n(q)).\nAnswer: 30858025*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/140 and 71\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 96, -309, -1218, -2631?\nAnswer: -4548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r + 1 - 1 + 6*r - 4*r + 0*r + (0 + 1 + 1)*(5*r - 5*r + r) - 4*r + 2*r + 3*r + 3*r - r - 4*r - 941*r - 599*r - 260*r - r + 1 - 1.\nAnswer: -1795*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {f: 2, a: 8, b: 1, x: 1, n: 1, v: 1}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 - 11. What is the smallest value in 4\/5, -7, k?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 355178 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 PM and 12:46 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 47 = -23. Let y = 4 + j. Suppose -4*r = -150 + y. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-23))**5\/(b\/(b**(-3\/37)\/b*b)*b\/b**(-11)) assuming b is positive.\nAnswer: b**(-4739\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2b5199 (base 15) to base 3\nAnswer: 10221022212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of l**6\/120 - l**4\/6 + 5*l**3\/6 - l - 38. Let c(y) be the third derivative of f(y). Let a(z) = -3*z. Determine c(a(n)).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 5*h**3 + 185*h**2 - 175*h - 6. Let r(l) = -4*l**3 - 187*l**2 + 178*l + 5. Let w(k) = -5*c(k) - 6*r(k). Find the second derivative of w(g) wrt g.\nAnswer: -6*g + 394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 330 and 37872?\nAnswer: 2082960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(171) - 2*(-1 + sqrt(171))) + (sqrt(152)\/(2*sqrt(8)) + -5)*2.\nAnswer: -11 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -262\/63 - -40\/9. Let k(y) = -y**3 - 7*y**2 - y - 1. Let w be k(-7). Let h be 3\/(-7) - w\/(-21). Which is greater: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*f - 423 + 431 - 275 = 783 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j - 19. Let t(b) = -57*b - 18. Let u(x) = 143*x + 36. Let f(s) = 5*t(s) + 2*u(s). Calculate -3*f(z) + 4*v(z).\nAnswer: z - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 12004 + -250?\nAnswer: 11314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5.9?  (a) 3  (b) 2\/13  (c) 0.4  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-16)\/(-6)*(-252)\/16. Let z = -27 - g. Suppose 4*k - z - 1 = 0. Calculate the remainder when 19 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*m - a, 0*a + 2*a = 0. Let c be 9\/m - (1 + -2). Suppose 3*d - c = -d. Calculate the smallest common multiple of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 4*v**2 + 4*v - 7. Let o be n(-6). Let a = 48 + o. Let f = a - 54. What is the remainder when f is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20222202 (base 3) to base 8\nAnswer: 11750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 898 - 2693\/3. Factor -1\/3*n**5 - p*n**2 + 0 + 0*n + 1\/3*n**4 + 1\/3*n**3.\nAnswer: -n**2*(n - 1)**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 - 4 - 12)*(-2*c - 2*c + 0*c) + (0 - 1 + 3)*(1 + 2*c - 1) + 3 + c - 3.\nAnswer: 145*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 975490 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -t - 6. Let f(b) = -b**2 + b + 6. Let n be f(0). What is v in -n*v - 3*v**3 - 60*v**2 + 0 + 69*v**t + 0 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/1337 and -9\/955?\nAnswer: 6685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 + 3*o**2 + 11*o + 113. Give k(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 273*v - 3 - 57*v + 118*v + 98*v + 240*v + 2.\nAnswer: 672*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003552 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/((x*x**0)\/x)))\/x**(4\/13)*x**10*x\/((x\/(x**(-5\/2)\/x)*x*x*x)\/x) assuming x is positive.\nAnswer: x**(109\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) - (sqrt(70)*-3 - sqrt(70)))\/sqrt(10) + 1)**2 - -4*(sqrt(7) - sqrt(7)*3)*4.\nAnswer: -22*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69413.\nAnswer: 41, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -83 - -164 - 74 - (2 + (1 - 7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 67340 by 910.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 439, 512, 217, -446, -1477, -2876?\nAnswer: -4643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -87 - -86.9. What is the smallest value in d, 28, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 893967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2381, 2378, 2375?\nAnswer: 2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (14952\/801)\/((-77)\/198)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 64.58 - 0.58. Let v = 60.7 - n. What is v rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -50 - 3173ba5?\nAnswer: -3174035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -1\/2, 0.3, 0.8, -4.\nAnswer: -4, -1\/2, -1\/4, 0.3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (1037 - -3) + -19 + 9 + 5 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*m**2 + 1 + 3*m**3 - 4*m**2 + (2*m + 2*m - 2*m)*(-6 + 6 - 5*m**2) + m - m - m**3 + 0*m**3 - 5*m**3 + 3*m**3.\nAnswer: -10*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, w: 1, f: 1, s: 1, u: 1, o: 1}. What is prob of picking 1 a and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*l - 4*c - 36 - 4, 5*c + 5 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -3*p. Let a(u) = -u**2 - 2. Let l(n) = -9*n**2 - 16. Let m(v) = 24*a(v) - 3*l(v). What is k(m(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3 - 2)*((-4*b + 3*b + 0*b)*(3 - 3 + 2) + 1 + b - 1 + (-2 - 1 + 4)*(0*b - 2*b - 2*b)) to k + q*b and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*s - 11*s**2 + 4 + s**2 - 2 + 3 - 1 to i*s + j + q*s**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1736 - 5908 = -2782*p + 1492*p + 1446*p for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 164606 or 4.6?\nAnswer: 164606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - 9. Suppose a*r + 2*y = -y + 21, r - 27 = -5*y. What is v in 65*v**3 + 4 + 14*v**4 + 40*v - 14*v + 54*v**r - 19*v**3 = 0?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 6)*((-20)\/(-8))\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19166504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 606, -10\/10799, 1\/4 in decreasing order.\nAnswer: 606, 1\/4, -10\/10799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = a - 2, -4*a + 24 + 49 = -h. Suppose 23*p - 564 = a*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/7)\/((-31)\/217). Which is the fourth biggest value?  (a) -4\/5  (b) 3  (c) -2  (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/1)\/((-1512)\/(-17577)*6\/(-48))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 79 = -3*v + 92, 5*v = -5*t + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 2, -1, 65 in descending order.\nAnswer: 65, 4, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-35 - -27)*11\/(-2) and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -46.879 and -80.\nAnswer: 3750.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 12*n - 4. Suppose -j + 26 = 10. Let f = j - 26. Let v be x(f). Solve 0 = -h + 3*h + 4*k - v, 2*h - 2*k = -14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3 and 0.385.\nAnswer: 3.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107187749?\nAnswer: 601, 178349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -662, -615, -582, -575, -606, -687?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 4. Find the second derivative of -j**5 - 6*j**3 + v*j**5 + 4*j + 6*j**3 wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 249 + -157. Round h to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1787, 1761, 1707, 1625?\n\"Answer: -14*k**2 + 16*k + 1785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of n**4\/3 - 12*n + 6. Let l(p) = -28*p**2 + 16*p**2 + 15*p**2. Determine d(l(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 1 - 2*q)*(7 - 1 + 3).\nAnswer: -18*q + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + y = 48 + 3, -2*f - 4*y - 16 = 0. Let c(d) = -d**3 - 5*d**2 + 10*d + 21. What is the units digit of c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-56)\/(-2) - 3*24\/18. Let y be -3*((-10)\/8 - (-6)\/u). Solve -l = -w, -2*l + 4*w + y = w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 518401 is divided by 675.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 + 27. Solve c*g = -2 + 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 14, -3, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + m = -28, -3*m = 3*d - 0*d - 36. Suppose -5*a - 45 = -d*a. Is 6668\/36 + (-2)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 461 divide 921470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -161 + 291 - 62 - 7*v**3 - 68.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 59.28847 millilitres?\nAnswer: 0.05928847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -695 + 697. Let t(b) be the second derivative of 1\/3*b**4 - 4*b**u - 2*b + 0 - 2\/3*b**3. Find d, given that t(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2167 - 16727?\nAnswer: -21116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sqq when three letters picked without replacement from {s: 4, r: 2, c: 1, n: 1, d: 5, q: 2}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 1487 divide 61088002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w**3 - 503*w**2 - 713*w - 11670. What is d(253)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 1265*p + 34154. Give h(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of -8*v**3\/3 - 21*v**2\/2 + 2*v + 1280. Let l(h) = 3*h - 4 + 2 + 6. What is 11*l(k) + 2*u(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2829\/10 in 3, -0.4, 8\/9, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 995*r = 997*r - 12 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1899246 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*s - 2*y, y + 15 = 5*s + 5*y. Let g(m) = -m**2 + 15*m - 47. Let x be g(s). Calculate the greatest common factor of x and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 4  (b) 6\/7  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 513 = 3*k + 2*o - 4*o, -5*k + 871 = 2*o. Suppose 5*n - k = 112. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (348\/1450)\/(2\/(-5)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -16782.1 and 0.12.\nAnswer: -16781.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106757998.\nAnswer: 2, 19, 409, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0*(-3)\/12 - -73. Let t = 88 + o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/4452 and -33\/20.\nAnswer: 22260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 586792?\nAnswer: 2, 41, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 > -1059.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 500601, 500611, 500621, 500631?\nAnswer: 500641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 2*f + 78 + 28, f = 3*i - 109. Find the common denominator of ((-135)\/i)\/(3\/(-7) - 0) and -37\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 425568 to the nearest one thousand.\nAnswer: 426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.15 - 10.75. Let n = -9.6 - j. What is the third biggest value in 0.5, n, 2\/7, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.56393764 and 3.\nAnswer: -10.69181292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 305, 1\/9, 4, 1177\/7?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14\/4535?  (a) 2  (b) -1\/2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -664503*d - 4651557. What is g(-7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 1424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*1)\/((66\/6)\/(-22)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 297\/36 + 2\/(-8). Let g = y - 3. Let a(b) = g - b + 5*b + 0*b**2 - b - b**2. Give a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 187249216*v - 137177632 wrt v?\nAnswer: 187249216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 34 = z - 4*z - r, 5*z + 7*r - 119 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(1\/4))**(-18))**(1\/8))**(7\/6) assuming q is positive.\nAnswer: q**(-105\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 803*k - 10471. Give w(13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5150 and 36990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5030059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(-5\/2)\/y)\/y)\/(y**7*y)*(y**(-2\/5))**(-7\/3))\/(y*y**(1\/4)*y*y**6*(y**(-2\/7))**(-7\/3)) assuming y is positive.\nAnswer: y**(-1169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*v = 346*v - 397 - 3167 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 617*v - 55*v = -17*v + 22581 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -190, -244, -302, -364, -430, -500, -574?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 760525 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -5, 11.6 in descending order.\nAnswer: 11.6, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of -h**8\/252 - h**7\/90 - h**6\/180 + h**5\/180 + 2*h**2 + 16*h. What is p in c(p) = 0?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2717348.\nAnswer: 2, 17, 89, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/10 and -16\/146813?\nAnswer: 1468130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -301*x**2 + 322*x**2 - 23*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q**3 - 6*q**2 - 66*q + 592. What are the prime factors of n(20)?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l**2 + 160. Let j be d(-9). Let y(w) = -5*w**2 - 4*w + 2. What is y(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 306838, 1, -2.\nAnswer: -2, 1, 306838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 0*i = -5*o + 10, -2*o + 1 = i. Let s(q) = q**2 + 11*q + 11. Let d be s(-10). Let p be (1\/(-3))\/(d\/(-9)). Sort i, p, 0 in decreasing order.\nAnswer: p, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 21 + 18. Let m = 9 - w. Suppose -46*u + m = -45*u. Calculate the greatest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + z**2)*(-z + z + z)*(4 - 4 - z) + (-4*z**2 + 3*z**2 + 2*z**2)*(2*z**2 + 1 - 1) - 12*z + 12*z + 7*z**4 + (4*z**2 - 20 + 20)*(3 - 3 - z**2).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: a1587 (base 11) to base 4\nAnswer: 210033121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2247*g + 1142*g + 67*g**2 + 1142*g to the form x*g + m + q*g**2 and give q.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4928720 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of 5*g**4\/12 + g**3\/3 + 21*g**2. Suppose 14*w = -9 - 19. Determine i(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -61*a*b*x**3 + a*x**3 - a*x**2 + 3417*b*x**3 + 4328*b - 770*x**2 wrt x?\nAnswer: -366*a*b + 6*a + 20502*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**3 - 1 + 1)*(2418*v - 1209*v - 1211*v + 72).\nAnswer: 2*v**4 - 72*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 AM and 8:52 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -6 and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -41*u**2 - 3216*u - 1453. Let v(j) = 10*j**2 + 807*j + 363. Let d(n) = -6*l(n) - 26*v(n). Let d(x) = 0. What is x?\nAnswer: -120, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 + 2. Suppose -d - 5*y = 22, -18 = -3*d + 5*y + 16. Let a be 3*3\/18 - (-36)\/24. Solve b*p - 3*c + 1 = 0, d*c + 40 = -5*p - a*c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 975 in 2, -1, -9, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*i + 249*i**3 + 3*i**2 + 568 - 568 - 19*i to the form m*i + o + l*i**2 + g*i**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 264 - 264 - 8*y + 25*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1236 divided by 309?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/2 - -2) + (-143)\/26. Let x = 42 + -30. Let z be (-1)\/(-3)*(-3)\/x. What is the biggest value in 0, z, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1184833 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19690*k - 8 = -19692*k, 0 = w - 6*k + 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 197869527 by -7328501.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f**3 + 6*f + 5. Let h(c) = c**3 + 20*c**2 - 38*c - 354. Let p be h(-21). Let m(x) = 2*x**3 - 5*x - 4. Give p*v(s) + 4*m(s).\nAnswer: 2*s**3 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 - 3*v + 18. Let p be y(-6). Let c(f) = 3*f - 4 + 2*f**2 + 4*f - 5*f + p*f. Suppose -4*g - 15 = g. What is c(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 3*z, 0*z = -3*r + 2*z + 5. What are the prime factors of (-1 - r)*(-8 + 4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p. Let d(o) = 90*o**2 - 775370*o. Determine d(t(n)).\nAnswer: 90*n**2 - 775370*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 2\/11  (b) -2\/9  (c) -20  (d) -0.18  (e) 51.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 + -21. Let n(d) = -32 - 37 + f*d + 21*d**2 + 68. Let m(x) = -22*x**2 - 3*x + 1. Let q(j) = -3*m(j) - 4*n(j). Give q(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 x when four letters picked without replacement from {x: 3, y: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of -1\/12*f**4 + 46\/3*f**2 - 20\/9*f**3 + 36 - 32*f. Let t(r) = 0. Calculate r.\nAnswer: -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29032*r + 465 = 29063*r. Solve 1 = u - 4*z, 0 = 17*u - r*u + 4*z - 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 - 105. Determine g(0).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - c = -28. Let f be (-308)\/(-98) + (-1)\/c. Let q be (-40)\/(-2*(26\/8 - f)). What is the greatest common divisor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (11 - (4 - 0)) + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -4 + (2 + sqrt(80) + sqrt(5) - ((sqrt(5) - -2*sqrt(5)) + sqrt(5))*-4) + -3)**2.\nAnswer: -378*sqrt(5) + 2286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -22*p. Let k(q) = -6*q. Let v be -26 + 41\/8 + (-27)\/216. Calculate v*k(s) + 6*b(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -38.91 + 39.31. What is the biggest value in 4, c, -1, -45\/4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10.3 times -22444\nAnswer: -231173.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 + 17*u**2 + 6*u - 31. Is j(-15) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 4*v + 87. Let u(g) = g - 9. Let m(p) be the third derivative of p**4\/6 - 9*p**3\/2 + 2*p**2. Let j(i) = v*u(i) + 2*m(i). Differentiate j(d) wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4314*f**3 + f*p**2 + 4*p**2 - 556*p - 2 wrt f.\nAnswer: -12942*f**2 + p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 352 + -367. Let z(x) = -x**3 - 14*x**2 + 17*x + 37. Let n be z(w). Sort n, 0, 3, 4.\nAnswer: 0, 3, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (24\/20)\/(52\/60 - 1). Let b(i) = -2*i**3 - 11*i**2 + 18*i - 18. What is the tens digit of b(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 u when three letters picked without replacement from quffuifqffqffq?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1660176125?\nAnswer: 5, 37, 433, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 462489278?\nAnswer: 2, 231244639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 2:07 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 3*b = 20, 5*v + 3*b + 7 = 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-70)\/(-147)*20\/(-8)*(-180)\/375.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -8, 3, -0.9, 0, -194 in increasing order.\nAnswer: -194, -8, -0.9, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-64 + 170*i**3 - 40 - 49 + 136)*(2 - 6 + 1) to y + k*i**2 + g*i**3 + m*i and give y.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.016 - -0.116. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-5)*(10 - 75\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 330, 324, 318?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 7:55 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -3, 4, 5, -24780, -223?\nAnswer: -24780","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 173\/3092586 and -22\/515431.\nAnswer: 3092586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of o**5\/20 + 5*o**4\/6 + 5*o**3\/3 + 11*o**2\/2 - 4*o. Let z be b(-9). Suppose z*d - 212 = -2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qgigviqqgqipgqqqq. What is prob of sequence pii?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = -3*r + 14, -7672 = 4*j - 5*r - 7662 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 357435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - p = -125. Suppose -5*i + 25 = -p. Let g = i - 4. Solve 0 = g*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 16507  (b) -14  (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of -53*q**6\/30 - q**4\/6 + 59*q**3\/6 - 58*q - 1. Find the third derivative of o(l) wrt l.\nAnswer: -1272*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 9400253.\nAnswer: 2820075.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 125496 and 16128.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 674691756 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -236128.7775 rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5670 divided by -7?\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 366991?\nAnswer: 41, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 195 and 143454.\nAnswer: 9324510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tjir when four letters picked without replacement from rbtbiirjjitjtr?\nAnswer: 27\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 80 = 4*o, -8 = -2*o + o - 2*x. Suppose o*u - 150 = 11*u. Calculate the highest common factor of u and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of -n**2 - 2\/3*n**5 + 26*n + 0*n**3 + 0 - 13\/12*n**4. Find the second derivative of t(f) wrt f.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-114)\/72*4 + 7)*(-3408)\/(-32).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1106*l**2*u*v**4 + 171*l**2*u*v - 2*l**2*v + l*u*v - 69*u*v**4 - 6*u*v**2 + 2*u*v wrt v.\nAnswer: -26544*l**2*u*v - 1656*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vwwwwwvwvwvvww. What is prob of picking 4 w?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 34346 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + 10*s - 17. Let y be k(8). Is 5\/216 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -15136640328 and -5.75.\nAnswer: -15136640333.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*h**5\/3 - 28100*h**4\/3 + 9368*h**3 = 0. Calculate h.\nAnswer: -7026, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + ((-173016)\/(-180))\/89?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -270 + 530 + 126*q**3 - 4*q**2 - 262 - 97*q**3 as m*q**3 + h*q**2 + a*q + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -0.137.\nAnswer: -0.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -4*c + 10, -15*c = -10*c - 5*i - 10. Let m = -28 - -23. Let n = -10 + 7. Sort c, m, n in decreasing order.\nAnswer: c, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - -4. Let i be -4*7\/((-112)\/f). Solve -i*n - 5*k - 25 = 0, -n + 0*k + 5 = -k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4851293?\nAnswer: 47, 233, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1566*s**2 + 75*s**2 + 992*s**2)*(-2*s + 2*s - 3*s).\nAnswer: -7899*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from zemzmmemzme?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i - 13 + 2*i + 0*i + 21 - 7 + i**2. Let s(g) = g**3 - g**2 + 9*g + 4. Let w(m) = m**2 - m. Let a(u) = -s(u) - 5*w(u). Give -5*a(j) - 20*n(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in fourty-two fifths of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -108174.16 to the nearest one hundred.\nAnswer: -108200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -48\/17 - -178\/51. What is the fourth biggest value in 0.5, v, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20109 + 20113. What is the third smallest value in y, 5, -3\/7, -0.116, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4055806 less than 23774?\nAnswer: -4032032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117489305.\nAnswer: 5, 23497861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1368*k**3 + 56*k - 11*k - 17*k - 16*k - 12*k.\nAnswer: 1368*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-16))\/((-84)\/(-48))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -14*x**2 + 295*x - 322. Determine r(20).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 7:17 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 15945 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.2 - -0.8. Let p = -0.15 + 1.05. Let z = p - -0.1. What is the nearest to m in -3, -2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 + 5*j + 4 - 3*j**2 + 0*j**2 - 3*j. Let w be l(-3). Are w and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1688\/23*x + 8\/23 + 89042\/23*x**2 = 0. What is x?\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 415 - 295 = a. Solve -126 - a = 31*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of 0*t**4 - t**3 - 10*t**2 + 0 - 1\/120*t**6 + 0*t + 0*t**5. What is the derivative of p(z) wrt z?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.3, -174, -678\/7 in decreasing order.\nAnswer: 4, -0.3, -678\/7, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1339302 is divided by 66964.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 24\/(-2) - (-6 + 9). Is v at least -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*l + 2*p - 35, -4*p + 154 = -5*l + 109 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (19 + -16)*(124\/3 - -1). Suppose -450 = 124*g - v*g. Calculate the greatest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jhjh when four letters picked without replacement from jjhhjjjjjhhjhjjj?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3*r + 76. Calculate c(21).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c. Let v(y) be the first derivative of -7*y**2 - 1932. Determine 60*m(z) - 6*v(z).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.12 - 0.02. Let g = 20\/49 + -1136\/2303. Let a = g - -114\/235. What is the closest to 1 in k, a, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or -194\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/598 and -9\/43888.\nAnswer: 1009424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -84*k*p**3 - 80*k*p - 7*p**2 wrt p?\nAnswer: -504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y - 4. Let r be q(5). Let c be (r\/4)\/((-6)\/(-16)). Let k = -4 - c. Solve -3*x + 2*x = 1, k*x = -l - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that p**5\/4 + 89627*p**4\/4 + 502364842*p**3 + 13551283151*p**2 + 84291289600*p - 98344960000 = 0.\nAnswer: -44800, -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -12\/17  (b) 332  (c) 3  (d) -0.5  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssssccssccsc. What is prob of picking 3 s?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -18212, -18290, -18368, -18446, -18524?\n\"Answer: -78*k - 18134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 184, 160\/27, -134 in decreasing order.\nAnswer: 184, 160\/27, 0.1, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 549.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 j when three letters picked without replacement from jgxgjxjxxjxgx?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 7 = -1. Suppose 0 = -4*i - 5*m + 37, -s*m + 2 + 2 = -2*i. Suppose -33 = -5*g - i. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -7, 2, 1, 0.1 in descending order.\nAnswer: 2, 1, 0.4, 0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of i**6\/30 + i**4\/24 + i**3\/6 - 2*i**2 - 3*i. Suppose 5*b = -0*b - 10, -j - b = 3. What is s(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7.018467 and -0.12?\nAnswer: -0.84221604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 17*q**2 - 50*q + 4. Let u be i(4). Find the second derivative of -231 + 53*j**5 + 231*j**5 - 77*j + j**3 - j**3 + u*j wrt j.\nAnswer: 5680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13758.3 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -93, -222, -403, -636?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**4\/6 + 17*y**3\/3 + 131*y**2\/2 + 276*y + 216.\nAnswer: (y + 1)*(y + 9)*(y + 12)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 + 2*r**2 + 6. Let a(h) = -h**3 - 11*h**2 - 5*h. Let g(m) = 2*m**3 + 17*m**2 + 8*m - 1. Let j(t) = 8*a(t) + 5*g(t). What is -2*j(q) - 3*x(q)?\nAnswer: -q**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7502218, 7502224, 7502242, 7502278, 7502338, 7502428?\nAnswer: 7502554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-5)\/(25\/85)*-1 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 21378*a. Let i(g) = -44*g - 1. Give i(v(b)).\nAnswer: -940632*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((456\/60)\/(-38))\/(3*3\/5).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1172 + 1175. Solve 0 = -5*p - u - 0*u - 13, 2*p + h*u = -13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 2*b + 4. Let v be 1 + -1 + 20\/4. Suppose z + v = -2. Let o(w) = w + 2. What is z*o(h) + 4*d(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**2 + 3*l**2 - l**3 + 6*l**3 - 8*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*y = -27*y + 240. Let f = 15 + y. Let p = f + 55. Calculate the lowest common multiple of p and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m + 0*m + 14*m**3 - 3*m**2 - 5*m**3.\nAnswer: 9*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1132, -4325, -9582, -16903, -26288, -37737?\n\"Answer: -1032*y**2 - 97*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*a**3 + 1339996*a**2 - 1339996*a**2 - 291*a**3.\nAnswer: -365*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28143643 is divided by 740622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-6)*2*(2 + -2). Suppose j - 4*a = 19, m = 4*j - a - 28 + 12. Find d such that 0 + 0*d**2 + 1\/9*d**4 + 0*d**j + 0*d = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qbq when three letters picked without replacement from brrqbqbsrsrqssssq?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 4 - 4*n**3 + 273*n**2 - 5*n**3 - 276*n**2. Let w be p(-3). Calculate the greatest common divisor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((17 + -3)\/7)\/((-14)\/(-35))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a**2. Let r(s) = 2 - 3 + 5 - 7. Let m(i) = 2*i + 20. Let g(p) = -m(p) + 5*r(p). Determine n(g(t)).\nAnswer: 8*t**2 + 280*t + 2450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 PM and 2:28 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -124 - -6 - ((-14 - 10) + -12)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, 88, 239, 450, 721, 1052?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -p**3*x**2*z - 14*p**3*x*z + 28*p**3 - 3*p**2*x**2*z - 2*p**2*x*z + 5*x**2 wrt x.\nAnswer: -2*p**3*z - 6*p**2*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1660294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.55 + 0.2.\nAnswer: -6.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -2 and -0.093234.\nAnswer: -2.093234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the second derivative of -35*j**4\/6 + 45*j**2 - 3*j + 15. Differentiate t(n) wrt n.\nAnswer: -140*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25 in -2\/13, -3\/31, 181\/3?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, z: 1, v: 1, h: 2, u: 1, m: 2}. Give prob of picking 1 h and 1 z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 5546 = 3*n, 2*k - k + 3*n - 1391 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) 0.6  (b) 2\/19  (c) 1  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 + o - 3 - 3)*(-2*o**2 + 2*o**2 + 3*o**2) to v + q*o + t*o**2 + n*o**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*(1 + -4 - -1). Suppose k = x - 0. Solve -3*j - 4 - 9 = -2*w, 21 = -w - k*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12.9 + -9.85. Let w = 0.05 - m. Let x be 2\/(-3) + 17\/3. Put 1, w, x in descending order.\nAnswer: x, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 4 - z + (3*z + 2*z - 4*z)*(1 + 1 + 0) - 320*z + 2017*z + 219*z - 430*z + 1452*z as t*z + j and give t.\nAnswer: 2939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 238*p + 594*p - 276*p)*(4 - 4 - 2*p).\nAnswer: -160*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u*u**(1\/2)*u**(-6)*(u\/u**(-6))\/u*u*u**(3\/7) assuming u is positive.\nAnswer: u**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 73, 13, -3, -628.\nAnswer: -628, -3, 13, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -23*a**3*u + 6*a*u**3 + 26*u**3 + 3 with respect to a.\nAnswer: -69*a**2*u + 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 4) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 6426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 488.839 + 0.161. Let c = u + -492. What is the second biggest value in 2\/5, c, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/475376 and -105\/416.\nAnswer: 12359776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 235?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 354*h**2. Let b(u) = 20*u. Give b(g(q)).\nAnswer: 7080*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -70\/9?  (a) -4  (b) -3\/2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 20 = -4*p + 6*p, 3*m + 2*p = -28 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/7, 3\/7, -30\/13, -1.3, 1\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 3*x**2 + 21*x - 33. Let a be c(-9). Suppose -2*n - 5*n + a = 0. Let h(s) = s + 5. Let p be h(-4). Solve -4*t + n*t + p = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*(-2)\/(-2) - -2. Let k = d - 2. Let q = 8 - 5. Solve -15 = -q*h + 3*c, -k*h + 7*h - 3*c = 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 1. Let s(l) = 4*l**3 + 11. Suppose -x - 10 = -3*x. Calculate x*q(k) - s(k).\nAnswer: k**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l - 3*l + 2*l + (-6 - 2 + 3)*(0*l - l - l))*(-12 + 12 + 2*l**2).\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -36*q + 3378. Give g(90).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 20 = -0*r. Let p = 1.1 - -2.9. Let f = -101\/85 - -10\/17. Sort r, f, p in decreasing order.\nAnswer: p, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 175 - 180 = 2*k, -2*k = 2*l + 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2323 - -13?\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/12))**(-2\/117) assuming x is positive.\nAnswer: x**(-1\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 248 and 105000162?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -378 - -386. What are the prime factors of 5 + (14\/u)\/(14\/7448)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(63\/112*8)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - 1268?\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2712*k**2 + 2656*k**2 + 2987*k**2 - 7926*k**2 - 2448*k**5 wrt k.\nAnswer: -146880*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31b89 (base 12) to base 15.\nAnswer: -146a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-14 - 0) + 1086 + -1079?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (7 + -4) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Calculate the greatest common divisor of 30 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2\/21, -37, 0.08, -2\/9, -1, -2\/13?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/(-6) - (56\/(-20) - (-1344)\/630)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 420 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/((j\/j**0)\/j))**(-28))**23*(((j\/j**(1\/2))\/j)**(-9\/8))**(8\/7) assuming j is positive.\nAnswer: j**(-9007\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (((-3)\/(-10))\/((-18)\/15))\/1. Let g = -8.21 - -0.21. Let i = g - -7.6. What is the nearest to o in 0.5, i, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1193 = 5*t - 4*z, 0 = 3*t - 0*z + 4*z + 735. Let s = t - -262. What is the smallest common multiple of 28 and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1022 = -3*m + 2236. List the prime factors of m.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from thbgy. Give prob of picking 1 g and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*h**5 - 60841*h**2 - 265813*h?\nAnswer: -100*h**3 - 121682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d**3 + 4*d**3 - 6*d**3 - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 0 + 28 = 0. Differentiate 38 + 54 + y*r**2 - 75 wrt r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 15*y + 81 + 12 = 0, -4*s = 4*y - 5*y + 99 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z + 22. Let y be j(12). Suppose -2*b - 2*l + 26 = 0, 6*l = b + 4*l - y. Calculate the highest common factor of 18 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 3*n**3 - 46*n**2 + 531*n - 8967. Calculate a(16).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l*l*l\/(l**(-1)*l)*l))\/(l\/(l\/(l\/l**(-1\/4)))))**(2\/27))**29 assuming l is positive.\nAnswer: l**(-493\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 639 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -1\/441?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = y - 5*y + 8, -5*y + 4*u = -13. Let i be (y + -2)\/((-7)\/2). Determine n so that 0*n + 0 + 4\/7*n**3 + i*n**2 + 2\/7*n**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -63504*z**5\/5 - 6598872*z**4\/5 - 2488373*z**3 - 5353472*z**2\/5 + 540683*z\/5 - 12342\/5 = 0. What is z?\nAnswer: -102, -1, 11\/252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 7139*c + 50011. Determine s(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of 3\/2*r**2 + 0*r + 3. Let o(k) = k**2 + 1. Let t(j) = -8*j**2 - 10. Let n(p) = -10*o(p) - t(p). What is s(n(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 943473?\nAnswer: 3, 314491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 9923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of 32*c**5\/5 - 47*c**4\/12 + 140*c - 104. Let b(g) be the first derivative of x(g). Find the third derivative of b(a) wrt a.\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 7:51 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12500 - -12504. Let -5\/2*c**2 + 3\/8*c**o - 3\/2*c + 0 - 1\/8*c**3 = 0. Calculate c.\nAnswer: -2, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 - 4*l**2 + 3*l - 11. Let v be 18\/24 - 108\/16. Let i(c) = -7*c - 6. Calculate the remainder when r(v) is divided by i(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 4*f + 3, -4*f + 2 = -3*c - 1. Let x(y) = -13*y - 1. Does 12 divide x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1596 - 2294 = 44374*t - 44521*t + 7282 for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3509*w + 291*w - 164118 for w.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3 and 531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03 less than 677.2?\nAnswer: 677.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*q - 5. Suppose 5*x - 7 = 8. Differentiate -s**3 + 1 - 4*s**x + 3*s**q wrt s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(((-8)\/(-2) - 6)\/1). Let i(f) = 1 - 8*f - s*f + 26*f - 14*f + 0. Let v(b) = 6*b + 2. Let z be 50\/15 + 1\/(-3). Determine z*v(g) - 10*i(g).\nAnswer: -2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -2*l + 2*p + 3019, l - 4*p = 1506. Let r = 7860 + l. Round r to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 910508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 123 + 123 - 246 + 13580*u in the form s*u + h and give s.\nAnswer: 13580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -95761934 or -95761923?\nAnswer: -95761934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*v = -95 - 345 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3850, 3856, 3864, 3874, 3886?\n\"Answer: a**2 + 3*a + 3846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of c**3\/15 + 19*c**2\/2 - 194*c\/5 + 1148. Factor n(w).\nAnswer: (w - 2)*(w + 97)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1487 take away 13?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(132) - (sqrt(132)*2 + sqrt(132))) + sqrt(132))*4)\/((sqrt(72)\/sqrt(3))\/sqrt(2)*-4).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 543432169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -20*w - 270. Is 5 a factor of o(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of o**5\/60 - 25*o**4\/12 + 47*o**3\/2 - 4*o**2 + 7. Factor z(t).\nAnswer: (t - 47)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 68\/11 + 170\/33. Find the common denominator of -49\/36 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -332 (base 4) in base 12?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 151893*p**3 + 2*p**2 + 81717*p?\nAnswer: 911358*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -1 - 8 - (-1 + -2 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 24 = 2*s - 6, -s - 3*v = -15. Let g = -11 + s. Let m(n) = n - 2. Let h be m(5). Solve 2*u + 4 = -h*r, -3*r - 2*u - 4 = -g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 8 + 14*p**2 - 3*p**2 + 4*p**2 - 2*p**2 + 15*p. Let h be f(-12). Round h to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1880 is divided by 130.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 3*t**5\/5 - 403443*t**4 + 6051627*t**3\/5 - 6051621*t**2\/5 + 2017206*t\/5 = 0.\nAnswer: 0, 1, 672402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65038099.\nAnswer: 7, 449, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9727*u**3 - 3*u**2 - 3*u + 5103.\nAnswer: -58362*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157854 is divided by 1349.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28*d**2 + 5*d**2 + d + d)*(9*d**2 + 0*d**2 - 18*d**2).\nAnswer: 207*d**4 - 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + m**2 + 2*m + 80. Give k(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9*m*n*w + 12*m*w**3 - 61*m + n*w**3 wrt n?\nAnswer: -9*m*w + w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 411 is divided by 190?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 3000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + z**5 - z**5 + 3*z**3 - 3*z**3 + (-3*z**4 + 3*z**4 + 2*z**4)*(-2*z - 1 + 1) + 2*z**2 - 2*z**2 + z**5 - 26*z**5 + 40*z**5 - 17*z**5 + 4 - z**4.\nAnswer: -6*z**5 - z**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/5)*u)\/(u\/(u\/(u\/u**20))) assuming u is positive.\nAnswer: u**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5791263.\nAnswer: 3, 59, 32719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9814241 a multiple of 2447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122*p**2 - 350*p - 359*p + 710*p.\nAnswer: -122*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -3*p + 143, 196*w - 199*w + 5*p + 45 = 0. Solve 12*f + 74 = -w*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -2*c**5\/5 + 4842484*c**4\/5 + 24212464*c**3\/5 + 14527492*c**2\/5 - 24212462*c\/5 - 19369976\/5 = 0.\nAnswer: -4, -1, 1, 2421247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00176943392 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - -8. Let x = -396 + 396.3. Put w, -2\/11, x in increasing order.\nAnswer: -2\/11, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18644 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14088726 + 2*c**2 - 58*c + 14088726.\nAnswer: 2*c**2 - 58*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30393?\nAnswer: 3, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 1 + (-68 - -27) + -79.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19325905559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1168254*l**5 + l**4 - 23*l**2 - 107363*l wrt l?\nAnswer: -70095240*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - 0.2. Let p = 0.2 + s. Let n = p + -3. What is the third biggest value in 0.5, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -10 + 1*(-2)\/(-2). What is the common denominator of 3\/t + 31\/(-60) and 77\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*o - 4*u + 18, -9*o = -4*o + 5*u - 20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1903820800 a multiple of 581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -196 - -198. Suppose -4*u + p*m = -60, 16*u - 19*u = -4*m - 35. Suppose 0 = 3*a + 2*d - 20 - 20, 16 = -4*d. Is u < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, -6, 2.\nAnswer: -6, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + (-1 + sqrt(288)*-2 - sqrt(288)))**2 - ((sqrt(288)*-1)**2*4 - sqrt(288)).\nAnswer: 1 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*v - r - 5, -2*v + 0*r = -r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*y**2 - 24*y**2 + 3*y**3)*(-6*y + 2*y + 2*y)*(2 - 5 + 2).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 45\/4 of a year?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = 7*c - 7. What is the first derivative of -c + 42 + 10 - 30*o wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*u + 185 = 53*u. Solve 7*a + u - 44 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16356 = -5*t - 3*m + 52666, 5*t = 4*m + 36275. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(3\/2)*v*v*(v*(v**(-6)\/v*v)\/v)\/v)\/(v*v**(1\/2))**(-3\/4) assuming v is positive.\nAnswer: v**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-5 + -1 + 5 + (-39 - -18) + 25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2 and 9247085.454.\nAnswer: 9247087.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(0 + 4 + 2)*(6*x - 7*x + 4*x)*(35 - 35 - 6*x).\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 838512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 29717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3*b - 5. Let i(g) be the first derivative of -7*g**2\/2 - 11*g - 194. Let k(n) = 13*c(n) - 6*i(n). Determine k(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 475*a**4*q + a**4 - a*q - 312*a wrt a?\nAnswer: 5700*a**2*q + 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 760278077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 313579819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -71081 divided by 14?\nAnswer: -71081\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from wrrwwwzzw.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132)*-1 + sqrt(132))*-5)\/((-2*sqrt(96) - sqrt(96))\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*q = -52. Suppose 3*l - 2 = 2*y, -q = -4*y + 2*l - 1. Suppose 1 = -m, y*z + 20 = -0*z - 5*m. Put -4, 4, z, 8 in decreasing order.\nAnswer: 8, 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2081755517 to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 80, -2, 4, 1, 5, 282 in increasing order.\nAnswer: -2, 1, 4, 5, 80, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 374.2789 centimeters?\nAnswer: 3742789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2324*y**3 + 1164*y**3 + 1168*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**2 - 2*n**2 - 2*n**2 + (141*n - 47357 + 47357)*(-4*n - n - n).\nAnswer: -848*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*l + 39*l = 264 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13753?\nAnswer: 17, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*y**3 + 148*y**3 - 71*y**3.\nAnswer: 86*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 14*k + 1. Give u(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 11937 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-80)\/(-10) + -6*1. Suppose -w - 5 = -g, g = -0*g + j*w + 5. Solve -4*k = -0*m + m - 1, 3*k + 5 = g*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - 0 - (-5 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.76937 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3343, -3620, -3903, -4192?\nAnswer: -4487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(4 + 1*sqrt(325)) + -3 + 2*sqrt(325) + 0)**2.\nAnswer: 1080*sqrt(13) + 5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of 2*z**3\/3 + 1411. Let f(t) be the first derivative of t**2\/2 + t - 2. Determine f(u(w)).\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 4*a**2 - 16880*a - 647216 = 0.\nAnswer: -38, 4258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 388 - 368 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.3 + -953?\nAnswer: -949.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 33531.78 to the nearest 10.\nAnswer: 33530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-13 + 4)*4\/(-18). Solve -2*o + 7 = f*o + c, -o = 3*c + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -10*u + 27. What is the remainder when p(-15) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4506 - 292. Calculate the greatest common factor of 172 and q.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + -125412?\nAnswer: -12540f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2 + 10 + 2*n - 6 - 16*n. List the prime factors of o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 + 4*j + 12. Let r be n(-2). Let d be (4\/7)\/(r\/84). Suppose 2*m = 2*f - 10, -d*f - 3*m + 25 = -f. Solve 5 = 3*b - 4, -f*h = 2*b - 31 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/51086 and 59\/5740.\nAnswer: 510860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 - 12. Suppose x = -w*x - 8950. Round x to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22250 + -127750. What is x rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/6 - (-3762)\/2079\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -8*f + 6*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 135652864 by 8.\nAnswer: 16956608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 68*c - 71*c = 21, 0 = 22*l - 8*c + 4*c - 152 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.9067 - -0.0933. What is the nearest to -1\/4 in 0, -5, 2\/3, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3137, 3341, 3545, 3749, 3953?\nAnswer: 4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 287713.8 kilograms in tonnes?\nAnswer: 287.7138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -5*v - 7. Let w be l(-2). Let j be (w - 0 - 0)\/(3\/(-2)). What are the prime factors of 140\/24 - j\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 - 8*v**2 + 160*v + 1031. Calculate l(-7).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 639 = -5*o + 168, 4*o + 375 = -x. Let m = o - -99. Solve b + 6 = -2*g - 6, -3*g - 32 = m*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -19 + -1709?\nAnswer: -1727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 14832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 5 = b, 3*q - 13 = -5*b + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-52 + 2*v**2 + 52)*(-21 + 24*v**2 - 30*v**2 - 5) as c + t*v + m*v**3 + u*v**4 + l*v**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26 - 56. Let m be (-340)\/f - (-2)\/(-6). Suppose -5*b - g - 5 = 4*g, -m = -b + 2*g. Solve 0*u + 5*v + 14 = -2*u, 3*u - b*v = 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -785, -1366, -1923, -2450, -2941?\n\"Answer: k**3 + 6*k**2 - 606*k - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**3 + 18524*b**2 - 85784644*b = 0. What is b?\nAnswer: 0, 9262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -16071, -128512, -433711, -1028046, -2007895, -3469636, -5509647?\n\"Answer: -16063*m**3 - m**2 + 3*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 150\/2*(-2)\/6. Let l = -6 - a. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33\/(-33))\/(1*7 - (1032\/48 + -18))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 6*k + 48 - 51)*(4*k**3 + 5*k**3 - 16*k**3).\nAnswer: 35*k**4 + 21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10377 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 - 9*v + 2. Let k be c(11). Let b = 134 + -38. Calculate the greatest common divisor of b and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1558 divided by 10225\nAnswer: 1558\/10225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12272003?\nAnswer: 12272003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8464272 (base 9) in base 2?\nAnswer: 10001010010000000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15537 + 15561. Sort -16, 1\/8, 3, p in increasing order.\nAnswer: -16, 1\/8, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*d = 6*d + 13. Suppose -3*f = -3*k, -3*f - d + 15 = 4*k. Find the second derivative of -4*h**2 + 17*h - 2*h**2 - 3*h**f - 4*h**2 wrt h.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -540052331, -1080104663, -1620156995, -2160209327, -2700261659?\n\"Answer: -540052332*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z**3 - 7*z**3 - 4*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1348, 1\/9, 2\/3, 7, 5.\nAnswer: -1348, 1\/9, 2\/3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -14. Let p = 8 - o. Let c be (-2)\/(-5) - (-85)\/(-150). Sort c, -5\/3, p.\nAnswer: p, -5\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -3*c + 4670, 0 = -3*g + 6*c - c + 3517. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45510 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1098.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1283\/11920?\nAnswer: -1283\/11920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9991, -19989, -29977, -39949, -49899, -59821, -69709, -79557?\nAnswer: -89359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*x - 54507 = -41169 for x.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13?  (a) 1\/4  (b) -3\/11  (c) -8  (d) 242  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(52)*-2)*2.\nAnswer: -8*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(5) + 0 + (-4*sqrt(320) + sqrt(320))**2.\nAnswer: sqrt(5) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -10*x**3 - 12*x**2 - 39*x + 133. Is n(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 12*f**2 - 125*f - 375. What is o(-3)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*b = 19*b + 92. Suppose i + 4*g = 15, -4*i + b*g + 3 = -i. Solve a - k = 3*a - 4, a - i*k = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 2*x**5\/7 + 842*x**4\/7 + 87344*x**3\/7 - 269664*x**2\/7 = 0.\nAnswer: -212, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 24*n**4 + 16*n**3 - 10*n**2 + 16. Let p(v) = 8*v**4 + 5*v**3 - 3*v**2 + 5. Let f(a) = 5*o(a) - 16*p(a). Find the third derivative of f(s) wrt s.\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of -z**4\/12 + 3*z**3\/2 + 1600000*z**2 - 2*z - 2. Let f be j(0). Round f to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1778.05 - 1872. Let d = -94 - n. What is the third smallest value in 3\/2, d, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1430\/(-120))\/13*4\/22?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 550 = 2*w, 1 = -3*w + 13. Let n = m - 60. Suppose 2*a - a - n = 0. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85572 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -489*l + 14. Is n(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -68743211 to the nearest 1000000.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2\/8 - 44757*a\/2 - 667729683\/2.\nAnswer: -3*(a + 29838)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-17)\/4*1 + 1\/4. Let m be (t\/6)\/(-1*1\/81288). Is m\/80 - 4\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 PM and 1:42 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6823245.\nAnswer: 3, 5, 11, 13, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 4120*j - 27. Is r(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-5)*(-4 - 1). Let r be (-2)\/s - (-2 - 1). Let n = -4174 + 4177. Is n greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6822*-1.\nAnswer: 0.6822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nmmnmnnnnnmnnnnnnnm?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**1)**(-12)\/(k**(-2)\/k)**(-2\/173))**31 assuming k is positive.\nAnswer: k**(-186\/173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m + 9. Let x be v(7). Suppose -q - x*q = -21. Calculate the remainder when (-18)\/54*(-39 + 0) is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1716 and 11.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/5 of a day in minutes?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -167.28 to zero decimal places.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of 0*l - 8\/3*l**3 + 1\/24*l**4 + 0 - 36*l**2. Determine a(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 4*g**2 + g. Let h be a(1). Let l(o) = 3 - 1 + o + 5 - 3. Let v be l(-4). Solve v = -3*d + 8*d + h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -789 - -517. Let t be 3 + -2 + (1 - -426). Let z = o + t. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of 0*g + 25\/2*g**3 + 1\/24*g**4 + 0 - 11\/15*g**5 - 11*g**2. Differentiate b(a) wrt a.\nAnswer: -88*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3\/14  (b) 5.2  (c) 1\/2  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*t**2 + 7*t**2 - 6*t**2 - 17*t**2.\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, n: 1, q: 2, r: 1, h: 2, s: 1}. Give prob of picking 1 s, 1 q, and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -1. Suppose 2*y - y = z. Let i(f) = f**3 + 16. What is the remainder when i(y) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4005 (base 9) to base 12.\nAnswer: -1835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -5*l - 8, 0 = 3*a - a + l - 4. Suppose 3*t + 48 = 45. Let b(d) = 4*d - 2. Let f(x) = x. What is a*f(k) + t*b(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-491895 - 9*t**3 + 491895)*(2 - 6 + 2).\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.164237 + -0.164. Round i to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 76354.4 + -76354.13999973. Let b = -220.26 + 220. Let z = b + g. What is z rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0598063 from -4684.\nAnswer: -4683.9401937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 3*s = -5, r = -2*r - 4*s + 15. Calculate the remainder when 13 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/2981608 and -145\/29304.\nAnswer: 295179192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-8)\/(i**2\/i))**(-44)\/(((i\/(i\/(i\/(i*(i*i**(2\/5)*i*i)\/i)*i)))\/i)**(-2\/35)\/(i**4\/(i\/i**(3\/5)))) assuming i is positive.\nAnswer: i**(69906\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*(-6)\/12 - 3*1. Let s(m) = -22*m - 13. What are the prime factors of s(h)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 65.99999944 - 66. Round x to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 2\/3*n + 1\/3*n**2.\nAnswer: n*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + t - 9 = 0. Let x(b) = 2*b**2 + 2*b**2 - t*b**2 - 2*b**2 + 12*b - 15. Let g be x(10). Solve 2*m = 5*s - 33, s + g*m = 3*m - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/10 and 11\/30936.\nAnswer: 154680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*a + 0*a - a)*(1 + 2*a**2 - 1) + (-25*a**2 - 20*a**2 - 14*a**2)*(2*a - 3 + 3) to the form m*a**3 + g + p*a + t*a**2 and give m.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*q - q + q)*(2 + 0 - 1) - 892*q + 4066*q - 6058*q - 7879*q - 3841*q - 1415*q to the form a*q + p and give a.\nAnswer: -16017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-9)\/(-24) - (-36241803)\/632.\nAnswer: 3, 5, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from {z: 4, k: 1, r: 6}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/7 + (-66)\/14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -343 + 638 - 2*p**2 + 12*p - 317. Determine w(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 84224110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(252) + -1).\nAnswer: -24*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of -m**4\/6 + 41*m**3\/6 + 13*m**2 - 2490*m. Calculate b(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/70 + 558\/10 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-seven thirds of a century in months?\nAnswer: 30800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11004 (base 6) to base 3.\nAnswer: -2002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of 0*d - 3 - 1\/18*d**3 - 1\/12*d**2. Factor h(w).\nAnswer: -w*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 7 + 8 = 2*l, 15 = 5*m - 4*l. Let c(s) be the third derivative of 0*s + 0 + 0*s**m + 2*s**2 - 1\/8*s**4. Let k(t) = -t**2. Determine k(c(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 86753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 3*d + 3. Let v be u(-3). Suppose -5*p - 16 = -p. Let o = v - p. Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, l: 3, i: 1}. Give prob of sequence lilo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tfbbyntbtbttybk. What is prob of sequence btyf?\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 > 183749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 251 - g**2 + 5*g - 139*g**3 + 260*g**3 - 5*g - 116*g**3 as u*g**3 + m + o*g**2 + p*g and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x + 2*x - 5*x)*(-1 + 1 - x) + 16*x**2 + 21*x**2 - 2*x**2.\nAnswer: 37*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(-2\/19)*w*w**(6\/7)*w*(w**3)**(-1\/51) assuming w is positive.\nAnswer: w**(8350\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -4*v**3\/7 + 2300*v**2\/7 - 103288*v\/7 + 100992\/7 = 0?\nAnswer: 1, 48, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from cccccccccchcchcccc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 - 57*l + 2119. Let j be t(25). Solve -j - 18 = -29*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 539.0397m?\nAnswer: 53903.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(-4) - -80 - 1. Let o = z + -77. Solve -n = o - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -2*h**3 + 7*h**2\/2 + 7*h - 1. Let n(q) = q**2 - q - 1. Suppose -9 - 1 = -5*z. Determine z*j(i) + 14*n(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 71 + -117. Let v = -46.00092 - i. What is v rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 361\/7 + -51. Let j = 30 + -34. Let h = 2 + -5. Which is the closest to 1\/2?  (a) h  (b) y  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -8*m**2 - 92*m - 1058. Let f(o) = -7*o**2 - 92*o - 1058. Let i(j) = -6*f(j) + 5*s(j). Solve i(a) = 0 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + 5 - 1. Let t be x*(-5)\/(-6)*-3. Solve -22 = -t*b + 2*k, b - 2 = -3*k + k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 PM and 9:56 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 395935?\nAnswer: 5, 79187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a second in milliseconds?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -304836 divided by 764\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/((c\/(c*(c**1\/c*c)\/c))\/c))**(24\/7)\/(c**7*c**5)*(((c\/c**(-6))\/c)\/(c\/(c**(-1\/9)*c)))**(6\/7) assuming c is positive.\nAnswer: c**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + c**2 - 1 + (3*c**2 - c**2 - 5*c**2)*(201 - 827 - 735) + (0*c + c - 2*c)*(-2*c - 2 + 2).\nAnswer: 4086*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000886317 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -141582 (base 10) to base 8.\nAnswer: -424416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6674*f = 1133*f + 543018 for f.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 29*a**5 + a**3 + 21*a**2 - 7 wrt a?\nAnswer: 1740*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -28*y + 8 + 7 - 3 - 11. Give f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2791488 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 51, 99, 147?\n\"Answer: 48*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6ec - -741?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/3*(-3)\/1. Let f(u) = u**2 + 2*u - 1. Let j be f(y). Solve 0 = 2*b - j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.04  (b) -2\/19  (c) 258.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-four fifths of a centimeter?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85979*u**3 + 171959*u**3 - 85982*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 323 + 216 = 0. Are k and 0.39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhlillil. Give prob of picking 2 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 112023, 224242, 336461?\nAnswer: 448680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1761?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15 - -53?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + 5*n - 3*n - 12, -4*j - 3*n + 19 = 0. Let v be (-165)\/(-11) - 3*j. Solve -3*a + v = -0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -442.1 - -441.7. What is the nearest to -57 in -2, h, 3, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.13 in -359, 405, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 4*u - 28 = -10*u, u + 9 = 16. Let i = 1 - 1. Let j be 2\/5 + (-17)\/5. Sort j, b, i, -2 in decreasing order.\nAnswer: i, -2, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2316)\/(-64) - (493 - 457).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 9 = 3*d. Let h = d - -28. Suppose -5*t = -0*t - h. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from {x: 1, o: 1, r: 4, v: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p + 0 + 0 + 0*p + 2*p + 0*p + (-2 + 0 + 0)*(2*p + p - 2*p) + 0*p + 2*p - 4*p + 71 + 2*p - 71)*(0 - 1 - 5).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ksk when three letters picked without replacement from kkwksswswkwskwkwk.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14599505, 14599503, 14599499, 14599493, 14599485, 14599475, 14599463?\nAnswer: 14599449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 4:50 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84289 is divided by 132?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7365354 divided by -2.\nAnswer: 3682677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1\/8)*b*b)\/(b*b**(2\/15))*((b\/(b\/b**(-2\/7)))\/b*b)**35)\/((b**(-1))**47)**(2\/55) assuming b is positive.\nAnswer: b**(-1993\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 4:27 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2\/15 + 11\/30. Let n = -152.8 + 153. What is the nearest to j in n, -3, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -6087.1, 5, -2, -1, -5 in decreasing order.\nAnswer: 5, -1, -2, -5, -10, -6087.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 - 4*o - 16. Let s be j(7). Let l(h) be the first derivative of h**3\/6 - 6*h**2 - h - 2. Let n(u) be the first derivative of l(u). What is n(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 13133 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 3 o when four letters picked without replacement from {o: 7, u: 4}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(4800))\/((sqrt(64)\/sqrt(4))\/sqrt(4)))\/(5*(sqrt(8) + ((-1*sqrt(88))\/sqrt(11) - sqrt(8)))\/sqrt(2)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10 + 71 - 5*d + 5*d + 24*d**2 wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 114  (b) 8  (c) 2  (d) 0.1  (e) 3  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 53*v + 31. Let n be f(-4). Let t = n - -1627\/9. Which is the third smallest value?  (a) -5  (b) -1  (c) t  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 5 + (-2508)\/(-44). Let h = r + -61. Suppose 5*v - 2 = 3. Solve -2*w + 7 + v = h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-5)*l)\/l*l*l**(1\/7))\/((l**(2\/5)*l*l)\/(l**(2\/3)\/l)) assuming l is positive.\nAnswer: l**(-692\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 + 1 + 3*a**2 + 3 - 2*a**2 + 4*a**2 - 3*a**2 + (1 + 2 - 1)*(3*a**2 - 3*a**2 + 2*a**2).\nAnswer: 6*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 + -16. Which is the third smallest value?  (a) p  (b) 0  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 2*s - 3738, -19*s + 5597 = -16*s + o. Is s a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1427 - 1422. Solve -4*j = -b*v + 25, 2*j - 5*v = -8*v - 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101*h + 268*h - 1691 - 31267 = -6759 for h.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -17*b - 25. Let m(o) = o + 4. Let r be m(2). Suppose -3*d = -d - 3*k + 24, 3*k - r = 0. What is the units digit of q(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -10*v**3 + 5405*v**2 + 19025*v + 8160 = 0.\nAnswer: -3, -1\/2, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**4 - 3*p**4 + 0*p**4 + (-p**3 - 3 + 3)*(-3*p + 2*p + 2*p) - 40*p**3 + 12*p**4 + 40*p**3)*(-2 + 1 + 2 + (1 + 5 - 3)*(-1 + 0 + 3) + 2 + 3 - 15).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 5*(1 + (sqrt(605) - (sqrt(605) + -1)) + 3*(0 + sqrt(605)) + 1 + 1 + sqrt(605) + -3))**2*-6.\nAnswer: -1452054 - 7920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/260*-3)\/((-190)\/7600).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112 = -293*n + 291*n. Let p = 315 + n. What is the highest common factor of p and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -35*y + 14. Let c(u) = -12*u + 5. Let w(l) = -14*c(l) + 5*r(l). Let a(q) be the third derivative of q**4\/6 - 68*q**2 + 2. What is w(a(i))?\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -3*k**3 + 213*k**2 + 445*k + 30. Determine w(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -818*z - 2441. Calculate m(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -323191, -646384, -969577, -1292770, -1615963, -1939156?\nAnswer: -2262349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 262714 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -8 times -5540912.7\nAnswer: 44327301.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from zzzcppuzzcpu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/27 in 0.1, 3\/2, 73, -0.044?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -106713, -105032, -103351, -101670?\nAnswer: -99989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -178 - -182. Suppose t*d + 1096 = 2*b, -3*b + 2*d + 907 = -749. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 2*q**2 + 7*q + 4. Is x(-4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-19))**(-17)\/(s*(s**(-5\/13)\/s*s)\/s*s*(s*(s\/(s\/(s\/((s\/(s\/(s*s**(-7)*s)))\/s))))\/s)\/s) assuming s is positive.\nAnswer: s**(4113\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1245, -1243, -1241?\n\"Answer: 2*i - 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 8 - 3)*(5*f - 5*f + 3*f) - f - 5*f + 2*f - 2*f - 1 + f + 0*f.\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - 0 - (-2 - -6) - 462\/88?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/(5\/(-2)) - -2. Let t = i + 3. Suppose -3*m + 0 = -f - 14, 4*m + t*f = 36. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139016628?\nAnswer: 2, 3, 103, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of 0*i**2 - 1\/35*i**6 + 4*i + 1\/14*i**3 + 0*i**5 + 0 - 1\/98*i**7 + 1\/14*i**4. Suppose x(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-44 - -22) + -15 - -27 - -74.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*m = 19*m + 192. Suppose -28 = -4*o + t, 5*t - 1 - 3 = -4*o. Calculate the highest common factor of o and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*5*21\/(-15). Let g(h) = c - 7 + 2*h. Let z(d) be the third derivative of d**4\/12 + d**2. Calculate g(z(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 0 + sqrt(19) - sqrt(171)\/(sqrt(9)*2).\nAnswer: -5 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/4)\/3*0. Suppose x - d = -6*d + 20, 2 = -2*x + 4*d. Suppose x*s - 12 - 3 = 0. Solve -3*y + v*y = -s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9)\/((-15)\/(-6) - 4). Suppose -r*a + 8489 = 7*a. Suppose 0 = -2*y - y - 3*c + 489, 3*c = -4*y + a. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2005 - -2005. Solve m = 2*s - 78 + 86 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of k**7\/840 - k**6\/180 - k**3\/2 - k. Let g(o) be the second derivative of s(o). Let d be g(2). Solve p - 1 = -d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1354 = -70*n + 116 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:19 AM and 6:41 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 2*i + 5*i + 9, 3*l - 6 = 2*i. Solve l*c = -4*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, -1, -2\/17, -316\/9?\nAnswer: -316\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 0, 4, -16, -72, -176, -340, -576, -896?\n\"Answer: -2*x**3 + 18*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/6444 and 29\/22837536.\nAnswer: 22837536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.035 - 0.03500023. Round n to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 314\/120 - 3024\/(-22680).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13250 and 3250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2803 (base 10) to base 12\nAnswer: -1757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -564, -2399, -4220, -6027, -7820?\n\"Answer: 7*h**2 - 1856*h + 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 36*n**2. Let h(s) = 36*s**2. What is 3*h(q) - 4*l(q)?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(847) - (-1*-1*sqrt(847) - sqrt(847)))**2 - -3*(sqrt(847) + 1)) + 4.\nAnswer: 33*sqrt(7) + 854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, q: 1, b: 1, e: 2, w: 1, f: 1}. What is prob of sequence wbs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*g - 16. Suppose -5*x - 2*c = -6*c, 5*c = -g*x. Suppose x = -3*t - 4*d + 1, -3*t + 4*t = -d. Is -5\/3 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by ((-6)\/(-63)*-6)\/(3\/(-42))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 0.5, -1.7, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1516, -7212, -16706, -29998, -47088, -67976, -92662?\nAnswer: -121146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of d**4\/21 - 26*d**3\/21 - 20*d + 2. Suppose m(s) = 0. Calculate s.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 212760713*f**2 - 618411503 wrt f?\nAnswer: 425521426*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -u + 4*f, -4*u = 3*f - 6 + 19. Let n(s) = -26*s**3 + 25*s**3 - 15*s**2 - 6*s - 9 + 5*s**2 + 3*s**2. Does 11 divide n(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 455875576 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 + 97*b - 949. Determine v(86).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34 - 50 + 3*x + 269.\nAnswer: 3*x + 253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 155756183 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*n = -2*j - 52, -4*n = -2*n + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-5 + 2)*58\/(-87) and 213.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 8:32 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-124)\/93)\/((3\/882)\/(-1)). What is the greatest common factor of 1848 and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b - -a90?\nAnswer: a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 3*k)*(-3*k + 3*k - 2*k**2) + (0*k + 0*k + 4*k**2)*(k + 12*k - 3*k).\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7397039*z**2 + 14798848*z**2 - 7401810*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2615 a factor of 41764165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -27143, -27128, -27109, -27086, -27059, -27028?\n\"Answer: 2*c**2 + 9*c - 27154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -53\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -864 - 10*m - 34*m - 744 - 9*m.\nAnswer: -53*m - 1608","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 5*p - 27, -3*r - p + 4 = -2. Let v be ((-20)\/(-1))\/(7 - (-4 + 10)). Solve r*o = 8*o - v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 30 = 6*p, 4*q + 24*p - 15*p + 43 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 2 = 3. Suppose 44 = 1165*z - 1176*z. Sort f, 5, 0, z in decreasing order.\nAnswer: 5, 0, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4855 + 4855. Solve z = 4*i + 2 - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -326 - -1425. List the prime factors of f.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 39 + -24. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 6:07 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1201 (base 10) to base 3.\nAnswer: -1122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 120161047?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 162176915647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17475 - -27971. Calculate the highest common divisor of p and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/11 and (6\/(-165))\/((-216)\/2745)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11224403 (base 5) in base 13?\nAnswer: -3748b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 68591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 1) + -2 + -3 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.7438158 + -2.744. What is t rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**3\/4 + 2395*v**2\/2 - 67815*v\/4 + 54675.\nAnswer: 5*(v - 9)*(v - 5)*(v + 972)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 126*n - 2*n**2 - 247*n + 3*n**2 + 122*n. Let g(a) = a**3 - 4*a**2 - 4*a. Determine g(p) + 4*i(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 + 7*a - 4. Let p be m(6). Suppose -u + 113 = 2*r, 3*r - 6*r - p*u = -170. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**2 + 1968*c + 242064.\nAnswer: 4*(c + 246)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/36 and (79\/(-3792))\/(30\/(-28)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5061233?\nAnswer: 431, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/8*4\/9. Let m = 83.609 - 87.609. Which is the closest to -0.1?  (a) m  (b) 8  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 3*l**2 + 2*l + 3. Let s(v) be the first derivative of v**4\/4 - v**3\/3 - v**2\/2 - v + 56. Calculate -k(w) - 3*s(w).\nAnswer: -3*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, u: 2}. What is prob of sequence pu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 33*g**2 - 62*g - 8. Let d be p(31). Let w be (-120)\/d + -7 - 29. Put -2, -4, w in ascending order.\nAnswer: w, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-2)*12\/(-9). Let s be (u\/6)\/(2\/(-12)). Let n = 11 - 7. Solve -5*m + 18 = -g + s*g, 2*m = -n*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 + 10.894. Let y = t - -5.106. Let a be 14\/8*(-3)\/7. Put -0.4, a, y, 0.5 in descending order.\nAnswer: y, 0.5, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -2*l**2\/9 - 277186*l\/9 - 554348\/3 = 0?\nAnswer: -138587, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -113*s - 4. Let w(y) = -35*y - 1. What is 3*c(f) - 8*w(f)?\nAnswer: -59*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t - 54 + 202 = -783*d + 778*d, -3*d = -15*t + 303 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - 3. Suppose -4 = -i - 2. Let b(c) = -1 - 1 - 4*c**i + 5*c**2. Determine b(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 416.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + i = -1896. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 90, 170, 250, 330, 410, 490?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 3*p - 65. Let j = 140 - p. List the prime factors of j.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1775 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (-213 + 234 - (-1 + 21))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of -g**6\/180 + 9*g**5\/10 - 243*g**4\/4 - 98*g**3\/3 - 106. Let d(l) be the third derivative of s(l). Factor d(q).\nAnswer: -2*(q - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -4 - c - 1 + 4. Let o(b) = -b - 1. Suppose 4*m = -i, 2*m + 3*i = 5*i. Suppose -2*y + y = 4*k - 25, 2*y - 2 = m. What is k*u(z) - 5*o(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 84303.41l in millilitres?\nAnswer: 84303410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9880 divided by 2470?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 176 + 152. Suppose -1 + 2 = i. What are the prime factors of (-1)\/i*(k\/(-4) + 3)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1))**(-8\/5)*f\/(f**(-5)*f)*(((f**(-1\/13)*f)\/f)\/f)\/f assuming f is positive.\nAnswer: f**(294\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*q**2 + 22 + 0 + 20.\nAnswer: 9*q**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10573 - 10437. What is the greatest common factor of 3264 and x?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 505 divided by 1204588.\nAnswer: 505\/1204588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 212838 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 4*x - 10. Find the third derivative of 5*y**x + 3*y**4 - 23*y**4 + 7*y**2 wrt y.\nAnswer: -480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38 (base 12) to base 10.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 divided by -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**3\/2 - 113389*u**2\/2 - 1607501616*u - 20887940736 = 0. What is u?\nAnswer: -56688, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.24 + -164.24. Let y = g + 164.09. What is y rounded to one decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -1\/7, -0.0480754, -8, -3, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m + 15. Let g be i(9). Suppose 3*c - 5*d - g - 8 = 0, d = -3*c + 26. Solve -5*j + c = -12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of z**4\/4 + 13*z**3\/3 + 5*z**2 + 4*z - 7. What is the tens digit of x(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 9*s**2 + 12*s - 4. Let k(p) = -2*p**2 - 3*p + 1. Let b(h) = 26*k(h) + 6*o(h). Let j = -6255 - -6259. Determine b(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 44 - 31. Suppose 9 = -5*o + i - g, 3*o + 2*i + 21 = 0. Sort o, 3, 2 in descending order.\nAnswer: 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -19*k - 423. Is s(-52) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-20)*-5*-8. Let n = -0.17 + 0.47. Let x = 173\/3 + -59. Which is the nearest to 0.1?  (a) i  (b) n  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -192 at least -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -844*c + 424*c + 426*c - 24 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8708.999948424 - 8709. What is o rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -1554*h**2. Let x(y) = y**2. Calculate l(x(w)).\nAnswer: -1554*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide (379\/(-9))\/((-49)\/441)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00235 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - -6 - ((3 - -17) + -40).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*o + 1554 = 2*o + 1606 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -19*g**2 + 126. Let f(j) = -5*j**2 + 28. Let u(r) = 18*f(r) - 4*l(r). Let a(x) = -20*x**2. Determine u(a(p)).\nAnswer: -5600*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57923672.\nAnswer: 2, 29, 249671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 PM and 9:36 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 13, p: 3, v: 2}. What is prob of sequence dpvd?\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 161958 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76528930.\nAnswer: 2, 5, 127, 60259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 4*u = 0. Find the second derivative of z**2 + 0*z - 2*z + u*z wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-180))\/((-8)\/20)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1530042 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t - 6. Suppose 0 = -v + 4*h - 12, 0*h - 4*h = -12. Give r(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(5) + sqrt(5)*3 + -1 + sqrt(5))**2.\nAnswer: -378 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 30564337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2*g**2 - 27*g + 14. Suppose -4*r - 71 = 3*u, -r = 2*u - 4*u + 4. Let n be c(r). Solve n = -13*y + 14*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + 5. Suppose 2*f = 2*q - 174, -3*f - 5 = z. Find the common denominator of -49\/4 and (-151)\/q + (-2)\/7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-9*3\/(-54)*4*2)\/(-58)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3558459 and -227?\nAnswer: -807770193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 4*c. Let y(q) = -20837*q**2. What is n(y(t))?\nAnswer: -83348*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -254, -2\/9, 2\/181, 38, 4, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(288) - sqrt(288)) + -5)**2.\nAnswer: -120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56, 1, 2, 14, -2.\nAnswer: -56, -2, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -10 - 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15021551?\nAnswer: 15021551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000091594453 rounded to 7 dps?\nAnswer: -0.0000916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*y - 22 = 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3368, 3365, 3362?\n\"Answer: -3*q + 3371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.22 and -249.51547637.\nAnswer: -249.29547637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o**2 - 11*o - 8. Let x(d) = d**2 - 10*d - 9. Let k(v) = 2*g(v) - 3*x(v). Let z be k(-6). Is z at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 528*g + 115. Let m(z) = 1058*z + 192. Give -3*m(k) + 5*v(k).\nAnswer: -534*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 8a82 (base 11) to base 15\nAnswer: 3818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(7) + sqrt(28)\/sqrt(4) + 3*((sqrt(175))**2 + sqrt(7) + sqrt(7)).\nAnswer: 8*sqrt(7) + 520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (0 + 19 + -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g**4\/g))**36*g\/(g**22*g)*g*g**(-38) assuming g is positive.\nAnswer: g**(-131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32455563.\nAnswer: 3, 7, 1545503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -2, -0.1, 12\/7, -3 in descending order.\nAnswer: 6, 12\/7, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.22  (b) -2\/11  (c) 0.5  (d) -1\/107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 - 4*l + 6. Let r be y(6). Suppose 4*i - r = 2*k, -2*i - k + 0*k = -11. Suppose i*f = 2 + 48. Solve 6*n + 2*m = n - 10, -2*m = -2*n + f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-12450)\/(-35) - (-14)\/49?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -4*b**3 + 3300*b**2 - 678972*b - 682276 = 0.\nAnswer: -1, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -279165 by -5.\nAnswer: 55833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 - f**2 + 4*f - 2. Let b(n) = n**3 - 12*n**2 - 14*n + 17. Suppose -3*x - 3*j = -0*j - 30, 4*j = -x + 1. Let a be b(x). Is w(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 192963790 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -278*g - 13882. What is y(-50)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i - 1. Let x(u) = 10*u**2 + 40*u - 40. Calculate -40*g(n) + x(n).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -3*w**4 - 6*w**3 + 87*w**2 - 126*w = 0.\nAnswer: -7, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -398*n + 588 wrt n?\nAnswer: -398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*v = 3*t - 26*v - 3, -4*t + 4*v = -5*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n. Let w(q) = q**2 + 9*q - 25. Let a(d) = w(d) - 6*z(d). Let c = 189 + -196. Let k be a(c). Solve 0 = k*b + 2 + 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 8:58 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m - 19*m + 85 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -9*z + 14*z, 0 = 4*z + 2*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 = 12*w - 79 + 104. Let t(h) be the third derivative of 1\/20*h**6 + 0 + 7\/120*h**5 - 1\/6*h**3 - 7\/48*h**w + 18*h**2 + 0*h. Factor t(n).\nAnswer: (n + 1)*(3*n - 2)*(4*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -88*h**6*p - 50432*h**4*p - 3*h**2*p - 2*h**2 - 5679*h - 2480 wrt h.\nAnswer: -10560*h**3*p - 1210368*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 42337?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32.61?  (a) -10\/3  (b) -2  (c) -3  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k**2 - 16*k + 11. Let z be w(8). Put 2, -5, z in descending order.\nAnswer: z, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 240 a factor of 150960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q + 5. Let d be o(0). Suppose 5*l + 0*l - 125 = 0. Suppose -b - 4*b + l = 0. Solve 0*z + b*z + d = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 59458583 divided by -2\nAnswer: -59458583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.12, -5, -0.033 in increasing order.\nAnswer: -5, -0.12, -0.033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -60*o**2. Let b(f) = 2*f**2 - 14529 + 14529. What is d(b(v))?\nAnswer: -240*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + -5. Let p = -2123 + 46691\/22. Let o = p + 241\/418. Which is the second smallest value?  (a) -1  (b) o  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*w**5 + 3*w**5 + 2*w**5 + (-574*w**4 + 406*w**4 - 354*w**4)*(0*w + 2*w + 0*w).\nAnswer: -1031*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/264 and -71\/12801448.\nAnswer: 38404344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/43?  (a) 0.03  (b) -4\/7  (c) 2  (d) 0.3  (e) 4\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6\/7 in -3, 4\/7, 3, 1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of 19*y**7\/42 - 89*y**3\/6 + 3*y**2. What is the derivative of n(b) wrt b?\nAnswer: 380*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/(-3)*3)\/(-2 + 4). Which is the nearest to p?  (a) 10  (b) 0.5  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n = 5*o + 55, 558*o + 30 = 554*o - 2*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14836, -14831, -14814, -14779, -14720, -14631, -14506, -14339?\nAnswer: -14124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -147*h - 53. Let b be r(5). Let p = 1113 + b. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 325717 and 3399212.\nAnswer: 452095196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 2*d**2 - 487*d - 13638. What is l(269)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 636, 5247, 13828, 26379?\n\"Answer: 1985*y**2 - 1344*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -1004285 + 1004285 + 531*s - 2*s**2 in the form f*s**2 + c*s + w and give c.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*l - 29*l = -14266. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 + 20*i**2 + 35*i - 21. Let d = 19846 - 19864. Calculate k(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + -1 + sqrt(19) + 1 + (-1*sqrt(152))\/sqrt(8) + (5 + sqrt(19)*-2 - sqrt(19) - -4*(sqrt(684))**2).\nAnswer: -2*sqrt(19) + 2741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {j: 2, l: 3, a: 3, x: 1, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 + 1. Let i(b) = -4*b**2 - 18. Suppose 60*g - 116 = -56*g. Calculate g*i(n) + 6*x(n).\nAnswer: 2*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 17 = -i. Let p(a) = -a**2 + 20*a - 6. Let f be p(i). Suppose 5*y - 5*n = 2*y + f, -25 = -y + 5*n. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -284204 = -907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3269*p + 124520 = 12784*p + 178484 + 374211 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 18833094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5 - 5)\/(-1 + 0). Suppose 3*r = -2*c - 3, 0 = 4*c - o*r + 2*r - 6. Suppose 2*x = 8, c*i + 5*x - 74 + 24 = 0. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -137*a + 427*a - 139*a - 147*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1160, -2316, -3470, -4622, -5772?\n\"Answer: s**2 - 1159*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7 + 16 - 39*c**2 + 3 + 12*c**2 with respect to c.\nAnswer: -54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53300320.\nAnswer: 2, 5, 19, 89, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*k + 330 = -8*k + 15*i - 69*i, -k + 2*k - 4 = i + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m - 13*m + 4*m + 12*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000746631714 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 55 - 49. Suppose o*c + 7 - 1 = 0. Let p(h) = h**2 - 2 + 1 - 3*h**3 + h**2. Give p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*2 + ((-28)\/(-7))\/4. Let w(y) = 2*y**3 - y**2 + 0*y**2 + 13*y**3 + y**x. What is w(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16995 and -0.065.\nAnswer: -1104.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -7*s. Solve -a - 4*i + 8 = s, a + i + 0 = 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -3*m**2 + 47*m + 33. Let v be q(15). Suppose 0 = -8*a + 9*a - 3*h - 21, -3*a = -h - v. Solve 5*c - a = -46 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -62250*g. Let d(o) = -2*o**2. Give d(q(p)).\nAnswer: -7750125000*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.118 in -118, 4, -58, -0.3, -3\/2, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m**2 + 14937*m + 284323. Determine i(-19).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1175, 1187, 1199, 1211?\n\"Answer: 12*d + 1163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 29508 and 6966?\nAnswer: 34258788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2354764?\nAnswer: 2, 479, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*d**2 - 5*d**2 + 3*d**2)*(4*d + d - 7*d) - 513*d**3 - 592*d**3 + 317*d**3 as u*d + p*d**2 + o*d**3 + s and give o.\nAnswer: -784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43965 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.9 in 358\/735, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*d - 92*d + 9 = 0. Let j(a) be the first derivative of 2 + 4\/21*a**d - 3\/14*a**4 + 1\/7*a**2 + 0*a. Factor j(r).\nAnswer: -2*r*(r - 1)*(3*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16420 rounded to the nearest 100?\nAnswer: -16400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -196 + 418. List the prime factors of m.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyylyllyll. What is prob of sequence yyy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -2\/5*z**5 + 0*z**4 + 0*z - 1 + 1\/6*z**6 + 2\/3*z**3 - 1\/2*z**2. Find f, given that b(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 132858 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-18)*((-4)\/(-54) - (-109)\/(-378))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1162 = 2*b - 4*s, b - 574 = -43*s + 44*s. Calculate the remainder when b is divided by 178.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29\/3 + 10. Let f = 4.7 - -1.3. Let j = 11 - f. What is the nearest to -2\/5 in 2, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1139 + 1135. Let a = 9.8 + -0.8. Let s = a + j. Put -0.5, 0, s in increasing order.\nAnswer: -0.5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1525 (base 6) to base 2\nAnswer: -110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 5\/((-25)\/(-140)) - 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 117510 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + 17826?\nAnswer: 17831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, 47 in decreasing order.\nAnswer: 47, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*p - 45 = -1527 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 2*m. Let t(f) be the second derivative of f**4\/6 + 176*f**2 - 19*f. Determine t(u(v)).\nAnswer: 8*v**2 + 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172736 is divided by 78?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -2*s**2 - 44*s + 45. What is x(-23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 185140.\nAnswer: 2, 5, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 31075.79 to the nearest ten.\nAnswer: 31080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2193365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 + 0.047463?\nAnswer: -0.252537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/7)*f**(1\/3)*f*f*f)\/f**(2\/99))\/((f*f**(-1\/4)*(((f\/f**(-1)*f)\/f)\/f)\/f)\/(f\/f**(-2)*f**(3\/4))) assuming f is positive.\nAnswer: f**(4177\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -4*v + 2. Let o(x) = 14896*x - 12768. What is -6384*f(g) - o(g)?\nAnswer: 10640*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.68 plus 0.1296204?\nAnswer: 15.8096204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 238 = 2*q, q - d - 51 = 71. Suppose -3*o + j = -59, -4*j = o + 4*o - q. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 175 * -0.2009.\nAnswer: -35.1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, r: 11, b: 4}. What is prob of sequence bbbb?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 + 6956299.74.\nAnswer: 6956299.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 6 - (5 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8155*t - 24498*t + 8175*t + 8159*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.08 - -0.68. Let v = -2\/29 - 23\/87. Which is the biggest value?  (a) v  (b) -3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37 + -32. Solve -192*j - 4*j**s - 121*j**3 + 62*j**2 - 96*j**2 - 64 - 36*j**4 - 7*j**3 - 190*j**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 + m**3 - 162*m + 8 + 162*m. Let s be g(0). What is the tens digit of 12*s + 0 - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 5620, 5621, 5622, 5623, 5624, 5625?\nAnswer: 5626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -725*v + 5531. Give t(10).\nAnswer: -1719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n**3 - 1 + 2*n**2 + 0 - 83*n**3. Let m be w(-1). Let x = -46 + m. What is the greatest common factor of 14 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4025, 4174, 4323, 4472, 4621, 4770?\n\"Answer: 149*x + 3876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*i*s**3*x**2 + 30780*i*s*x - 100*s**3*x**2 + 26*s*x**2 wrt i?\nAnswer: 2*s**3*x**2 + 30780*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zxxq when four letters picked without replacement from {q: 2, h: 4, z: 4, x: 2}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of -13*t**5\/12 - 5*t**4\/12 - 377*t**3 + 754*t**2 + 2*t - 2. Differentiate b(i) wrt i.\nAnswer: -130*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of -l**4\/8 + 1323*l**2. Let s(k) = -5*k + 2*k + k. Calculate d(s(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = -2*n - 3, -31*n = -34*n - 5*t - 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65233 + 22427 = -0*k + 9*k. What are the prime factors of k?\nAnswer: 2, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0742 and 43777?\nAnswer: 3248.2534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -11*d - 205. Let y(t) = 32*t + 594. Determine 11*s(u) + 4*y(u).\nAnswer: 7*u + 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1703 - -1701. Let j = 0.38 + 0.02. What is the second biggest value in 10, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -24923690 bigger than -24923692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 2*s - 2, -n = s + s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2267 + -1468. Suppose 3*a - 104 - 158 = -v, 0 = 3*v - 4*a - g. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 390.4717 grams in nanograms?\nAnswer: 390471700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45 - 68. Let c = o - -25. Solve -c*p - 1 = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d + 2. Let w(g) = -6*g**2 - g - 2. Let p be w(-1). Let n = 11 + p. Suppose y = n, -y + 3 = 3*a - 7. Give h(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 17*x**2 - 50*x - 52. Determine h(11).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.077175475 and 0.178.\nAnswer: 0.100824525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q + 1 + 4 - q. Let r(i) = -6*i + 11. Let s be (-16)\/28*56*9\/48. Give s*r(a) + 13*h(a).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1da3 - 22e?\nAnswer: -1fd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 4*(sqrt(320) - (sqrt(320) + 1 + 2)))**2*-2 + 0.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 1696*i + 1229513. Calculate z(-725).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 34856.00954 rounded to the nearest one hundred?\nAnswer: 34900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4407\/44 + 2253\/22. Let -1\/4*u**3 + 1\/4*u + 9\/4 - r*u**2 = 0. What is u?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1367960, 1368081, 1368200, 1368317, 1368432?\n\"Answer: -q**2 + 124*q + 1367837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 410234, 817531, 1224826, 1632119?\nAnswer: 2039410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24 + -2. Let g = k + 34. Suppose 100 = -0*i + 4*i - 4*f, 5*i = -3*f + 149. What is the remainder when i is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46124527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/sqrt(2)*-6)\/(-2*sqrt(98) - sqrt(2)))\/((sqrt(120) - (sqrt(120) - 4*sqrt(120)))\/sqrt(12) - -3*sqrt(1210)).\nAnswer: 2*sqrt(3)\/185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 118189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 344 - 234. What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -5 + -1 + 3 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 4:21 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -136356, -544777, -1225264, -2177811, -3402412, -4899061, -6667752, -8708479?\nAnswer: -11021236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -9*v - 7. Let k(x) = 24*x - 3*x - 9*x - 8*x + 3. Give -14*k(t) - 6*r(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**2 - 10*g**2 - 12 + 3*g**2 + (-g + 2 - 2)*(-2*g + 4 - 4).\nAnswer: -6*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -41, -2, 5, -13 in increasing order.\nAnswer: -41, -13, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 11*a**4 - 4*a*t - a + 19*t + 4 wrt a?\nAnswer: 44*a**3 - 4*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -2655*g**2 + 116815*g + 220 = 0.\nAnswer: -1\/531, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5960, 5967, 5974, 5975, 5964, 5935?\nAnswer: 5882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 66 and 120\/10*1\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14 and -8.365784.\nAnswer: 117.120976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 75023, 150099, 225169, 300233, 375291, 450343, 525389?\n\"Answer: -3*t**2 + 75085*t - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 5. Does 12 divide (k + -29)\/((-18)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 23\/7 of a week?\nAnswer: 23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -948985445.39999933 - -948985453. Let r = -7.6 + t. Round r to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 834 - -1504. Let g = -2337.98987 + q. What is g rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -221 - 102?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 131 = -4*j - 38, v = 3*j + 18. What is the remainder when v is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*r - a + 4 = 36*r - 10*r, -4*r - 113 = -3*a + 147 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 200233.\nAnswer: 11, 109, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 + -27. Let x = -20 - m. Let b = -12 + 8. What is the third smallest value in b, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-580)\/58)\/((119\/17)\/(-21))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -6*d - 7. Let s(z) = z**2 + z - 1. Let c(k) = -q(k) + 3*s(k). Let l be -4 - 0 - (-2 + 4). What are the prime factors of c(l)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1084 plus -2.16?\nAnswer: -2.2684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*q**4 - 536*q**2*t - 2*t - 1524 wrt q.\nAnswer: 12*q**3 - 1072*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 4*r - 14, -d - 3*r + 8 = -15. Solve 5*s = -3*q - 3, s - 3*s = -5*q - d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 387 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-1*(sqrt(77) + 1*sqrt(77) - sqrt(77))*2)\/((sqrt(88) + 3*sqrt(88)*1)\/(sqrt(80)\/(sqrt(10) + sqrt(10) + sqrt(40) + sqrt(10)))).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 498 + 528 = 0. Let d(w) be the third derivative of -w**4\/4 + 5*w**3\/6 + w**2. What are the prime factors of d(z)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 611950102 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -43 + 46. Solve 4*o = 6*o + 5*j - z, -3*o - j = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 982 = 382. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 568370 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 862 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14206\/3 - 4735. Let u = -22 - -31. Let j = u + -10. What is the closest to m in 1, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5264\/85 - 188827\/595. Let g = n - -379. Sort 2\/7, -18, g in decreasing order.\nAnswer: 2\/7, g, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32 - 34. Is 130 + y - (-3)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**4 + 10804088*n**3 - 7295433411268*n**2 - 116729008973376*n - 466918801756416.\nAnswer: -4*(n - 1350519)**2*(n + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.05, 2\/9, 0.3, -4\/3, -1\/49?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5304 (base 7) to base 2.\nAnswer: -11101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 (base 10) in base 5?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lxxglyylyyyggyalll. What is prob of sequence ga?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -171 plus 9727112108?\nAnswer: 9727111937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.8 less than -8766.391?\nAnswer: -8781.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6361.96 rounded to the nearest 100?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1890148387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of 23*p**6\/720 + 55*p**4\/24 - 77*p**2. Let c(i) be the second derivative of h(i). Let u(n) = -n. Determine c(u(t)).\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6606088 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -88, -76, -48, 2, 80, 192, 344?\n\"Answer: t**3 + 2*t**2 - t - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -876*i**2 - 17518*i + 40. Give d(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 - -18. Suppose -n*d = -9*d + 16. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 + 5631*d + 255424. Determine u(-45).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o + 1. Let n(b) = -b**3 + 8*b**2 + 9*b + 4. Let f be n(9). Let p be l(f). Solve -p*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 5791512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 65\/15 - (-2)\/3. Suppose -s*p - 23 = -48. Suppose 0 = 4*t - p*v - 30, -2*t + 2*v = -8 - 8. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2700\/(-3375))\/((-48)\/50)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 182*t - 1 + 5*t**2 + 0*t**2 - 199*t - 1.\nAnswer: 5*t**2 - 17*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/1900908 and -63\/5?\nAnswer: 9504540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 - 32 - (-2 + (13 - 5)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -150, 2096, 3, 4, 0 in increasing order.\nAnswer: -150, 0, 3, 4, 2096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/659815 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -5, 1, -1 in ascending order.\nAnswer: -5, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of -2623*z**8\/336 + 11*z**4\/4 + z**3\/6 - 12658*z**2. What is the second derivative of q(v) wrt v?\nAnswer: -52460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/10, 8\/5, 0.5, 0 in increasing order.\nAnswer: -3\/10, 0, 0.5, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 8*o**2 + 2. Let n(r) = r - 1. Let i(q) = -2*n(q) - t(q). What is the second derivative of i(l) wrt l?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 19*o + 11. Let t be (-32)\/(-5) + (-8)\/20. Solve b - t*b = o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(288)\/sqrt(6) + 4.\nAnswer: 4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 669776.7 grams?\nAnswer: 0.6697767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23234104 and 6987?\nAnswer: 2329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1364 and 2016116.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z. Let v(q) be the third derivative of 0*q - 2*q**2 + 0*q**3 + 0*q**4 + 0 + 1\/15*q**5. What is v(f(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 362045 is divided by 15735.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1770, -1769, -1768, -1767, -1766, -1765?\n\"Answer: m - 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 13*b**2 - 5*b + b - 3*b + 9 - 12*b**2. Let s be r(6). Let h(u) = -u + 8. Let o be h(6). Solve -f - o = -s*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 634*n = 397*n + 474. What is y in 3\/4 + 13\/2*y**3 + 10*y**n + 11\/2*y + 5\/4*y**4 = 0?\nAnswer: -3, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3269 - -3269.000001721. What is v rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 206*z**3 - z**2 + 1. Is b(1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from {p: 4, u: 2, l: 1, e: 8}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 373274\/21 equal to 17776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.316 plus -0.5?\nAnswer: -7.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -3*p - 271. Give v(-92).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-5))\/((-21)\/240*4)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (135\/300)\/(7\/70*12).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - -4b30?\nAnswer: 4b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/13 - 53658*g**2\/13 - 3496788*g.\nAnswer: 2*g*(g - 27651)*(g + 822)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 21\/(-12) + 40548\/22320\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do 256180 and 512359\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -8, -0.22, 3\/4, 1\/2, 224?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - (16 + -26)) + (-33 - -2)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 245.88 from -108.\nAnswer: -353.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21\/23, -1\/1565, 0.3 in ascending order.\nAnswer: -1\/1565, 0.3, 21\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -600828, -1201655, -1802482, -2403309?\nAnswer: -3004136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 156879271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 11033 = -14*s + 16*s, -q + s = -3678. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 6 + 18. Let x be 14\/(-49)*(-1 + v). Let n be x*(-1)\/8*4. Which is the second smallest value?  (a) -4  (b) n  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7935184177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/(sqrt(7)*2) + sqrt(147) + -2 + -3 + sqrt(6)\/sqrt(2) + sqrt(3) + sqrt(162)\/sqrt(6))**2.\nAnswer: -125*sqrt(3) + 1975\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -13 + 175. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((924\/70 - 16)*5)\/(3 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (28 - 26) + -5 + -4 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1083844 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3, 49, 195, 483, 961, 1677?\n\"Answer: 8*m**3 - m**2 - m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 2 + 1)*(-3*b + b + 0*b) + (7 + 0 - 9)*(-2*b - 2*b + 7*b).\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.7108, 5, 3\/2, 2\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1835422406 a multiple of 3442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of 0*d**4 - 6*d - 1\/3*d**6 + 0*d**3 - d**2 - 54 + 2\/5*d**5. What is the second derivative of h(n) wrt n?\nAnswer: -40*n**3 + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -5 + 1 - -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10149 + -10151. Let g(f) = f**3 + 5*f**2 + 2*f - 8. Give g(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-17)\/4*(-52)\/318. Let h = b + -3\/106. What is the nearest to -3\/2 in 2, h, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a**4 + 1104*a**2 + 110831*a?\nAnswer: 24*a**2 + 2208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8108041.\nAnswer: 19, 426739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99)\/(sqrt(45)\/sqrt(5)) + sqrt(11) + sqrt(33)\/sqrt(3)*4)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of -l**4\/12 + 5*l**3\/6 + 3*l**2\/2 - 10*l. Let v = -6 + 12. Determine d(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 + 3*v - 1. Let x be q(4). Let d be 2\/(-4) - x\/10. Suppose d = -7*w + 4*w - h + 25, -3*w - 2*h + 26 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 6:13 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 AM and 4:04 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 513275, 513250, 513225?\n\"Answer: -25*g + 513300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 + 1)*(-1 + 4*p + 1 + (-5 + 1 + 3)*(p - 3*p + 3*p) + 0*p + p + p + 19*p - 5 + 5).\nAnswer: 96*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.126, -1, 2, -19, 12\/7, -3 in decreasing order.\nAnswer: 2, 12\/7, 0.126, -1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + (6\/(-14))\/(-1). Let d be -4 - (-2 + 2) - 0. Which is the smallest value?  (a) y  (b) d  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8346.\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7100\/2871 + -4807885\/1929312. Calculate the common denominator of l and 95\/24.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03145157295 rounded to 4 dps?\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -47, -0.16, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0243926 rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 306748157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67.254815 - 68.\nAnswer: -0.745185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -309, -311, -315, -321, -329?\n\"Answer: -m**2 + m - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -550051 + 24?\nAnswer: -550023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -917\/2 + 461. Which is the fifth biggest value?  (a) 0.3  (b) 5  (c) q  (d) -1  (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lfqxafqxfpqlllf. Give prob of sequence la.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*u**2*v**2*x - 165*u**2*v**2 + 26*u**2*v*x + 5*u**2*x + 2*u*v**2*x + 9*v*x - 2*v wrt v?\nAnswer: -12*u**2*x - 330*u**2 + 4*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 214129 by 6.\nAnswer: 214129\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2010 or -154666\/77?\nAnswer: -2010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*o + 2*o**4 + o - 5*o + o**3 - 2*o - 2 in the form t*o**3 + c + v*o**4 + y*o + i*o**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 763, 1522, 2281, 3040?\nAnswer: 3799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -130.6 less than -3?\nAnswer: 127.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**(-3\/7)*i)\/(i*i**(-10)*i))\/(i**(2\/13)\/(i**(2\/3)\/i)))**(5\/12) assuming i is positive.\nAnswer: i**(6785\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**3 - 4*g**3 + 12*g**3 - 12*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 178.5 - 102. Let w = x + -0.5. Let y = -75.99953 + w. Round y to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 3. Let v = -16.6 + 17. What is the closest to g in v, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 16351, 16376, 16401, 16426, 16451?\n\"Answer: 25*p + 16326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*o**3 + 223*o**2 - 95*o**3 + 214*o**3 - 223*o**2 - 60*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 65*x**3 + 1815*x**2 - 8460*x + 640.\nAnswer: 5*(x - 4)*(x + 32)*(13*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 - 19*y + 109. Let l be o(10). Calculate the highest common divisor of l and 1786.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 15*i - 2001. Let l be t(99). Is l smaller than -518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1196145 * -65\nAnswer: -77749425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*g**3 + 4*g**3 + g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3442060841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -39 > -5777\/152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.6 + -4.8. Let j = u + 2.1. Let z = 4.9 - j. Which is the third smallest value?  (a) z  (b) 1\/2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 3*n**3 + 49*n**2 + 51*n - 138. Calculate k(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -12266254 (base 7) to base 14\nAnswer: -20c264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 PM and 8:04 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 7*d**3 - 5*d**2 + 5*d - 3. Let i be f(1). Suppose u - 8 = c, -3*u + 27 - 3 = -i*c. Solve 0 = -u*b + 3 - 35 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*u + 416 = -28*u. Suppose -5*n = -2*r - 3*n + u, r = 4*n + 113. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4*37\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 457 = 3*w, 19 - 21 = z. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 17*d - 8352 = 16*d. What is the lowest common multiple of d and 63?\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9107.\nAnswer: 7, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 56\/3 and 1\/9377042?\nAnswer: 28131126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 13, 11, 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1256 is divided by 654?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.11 - -0.21. Which is the second smallest value?  (a) -0.3  (b) f  (c) 3  (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t + 9*t + 3*w = 29, -3*w + 43 = 4*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 98.22697 weeks?\nAnswer: 990127.8576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -j + 21. Suppose j*l - 75 = 17*l. Suppose -2*y + 57 = -l. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17 - -20. Suppose a - 14 = -2*v, v - 7 = -d*a - a. What is the third derivative of 2*q**3 + 0*q**2 - 9*q**3 - v*q**2 + 12*q**3 wrt q?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 11\/22 - (-11)\/2. Let x(h) be the first derivative of -h**4\/4 + 2*h**3 + 8*h - 5. Let z be x(s). What is the highest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*c + 156 = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*q + 106954 = 1425*q - 3851 for q.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -6*w + 13*v - 8*v, -3*w + v - 2 = 0. Solve 5*f + 3*q - 20 = 0, -3*f - 2*q + 6*q - 17 = w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i = -127 + 125. Let x be 6*(-6)\/12 + (i - -34). What is the third derivative of 2*c**2 + 3*c**2 + 21*c**2 + x*c**5 wrt c?\nAnswer: 1740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 122 + -2?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 + 40*u**2 + 17*u + 58. Determine l(0).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -3729*n**2. Let v(l) = l. Give x(v(w)).\nAnswer: -3729*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 117, -3, 3, 1, -4 in decreasing order.\nAnswer: 117, 4, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (3\/4)\/(13\/26)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 498 = 134. What are the prime factors of t?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-23)*3059\/1729.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4310144200 (base 5) to base 8\nAnswer: -42460203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 213 + 132?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 559 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 4*y + 17 = 0, 4*r + 25*y + 1 = 24*y. Which is smaller: r or 15\/287?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 406191, 812292, 1218405, 1624536, 2030691?\nAnswer: 2436876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h + 2*f - 12, h - 6*f + 190 = 214 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -3*t**3 + t**2 - t - 1. Let m be d(-1). Let r be 174\/21 - m\/14. Let h be 3\/(6\/r) + -2. Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -3*y + 16, 2*y + 0*s + 2 = 5*s. Suppose u = -61 + 63. Suppose 0*d - 12 = g - 4*d, -u*g = d - 12. Solve -n - 5*r - y = n, 0 = -3*n - g*r + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as -3249\/3467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 3*j**2 + 2912*j + 496504. Give p(-750).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -197*q + 196*q = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -21, 991, -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.72, -479\/6, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 901*w - 221636. Give h(246).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*j - 2 - 37*j + 2 as g + w*j and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 - (-4 - 1)) + 9. Let a = -5 + 7. Suppose -a*v + 5 = 3*x - u, 5*x + 3*v - 25 = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c - 4. Let p = 4 + -11. Let y be x(p). Sort 5, y, -1 in decreasing order.\nAnswer: 5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94*r - 23*r + 1287 + 234 = 0. Let y = 35 - 14. Calculate the remainder when y is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 3\/2  (c) -3  (d) -5  (e) 18\/32869\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -101 divided by 8.\nAnswer: -101\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + (-24 - ((5 - 18) + -2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y = -16329 - 3741. Suppose -5*x - y = -712. Let h = x + 2066. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 5*f - 3 = 0, -2*j = -0*j - 2*f. Let s = j + -2. Let l be 6\/2*s\/(-36). Which is the biggest value?  (a) -2\/11  (b) l  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30, -52, -66, -66, -46, 0, 78?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2779, -29, 4, 484, 0.2, -0.1 in decreasing order.\nAnswer: 2779, 484, 4, 0.2, -0.1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 82 = 2*q, -q = -3*q + u - 90. Let y = 4.92 + 0.08. What is the third biggest value in 0.1, 1, y, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5624481 * 1.\nAnswer: -0.5624481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 52*n - 507. Let m be q(42). Calculate the highest common factor of m and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31940 + 127778 - 31945 - 31946 + 12*v - 31947.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 - 10*x**2 - 9*x + 4. Let d be n(-9). What is the highest common divisor of d and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5635844 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/36*((-80)\/(-10) + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 124 + -20. What are the prime factors of (-5 - -1) + 2\/1 + y?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.1 - -0.1. Let p = s - -3. Let r be (7 + -21 + 16\/1)\/(16 - 1). What is the nearest to p in -4, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35 + -34 + 51 + -34.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - -143060?\nAnswer: 143055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -402143 - -4?\nAnswer: -402135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(270)\/(sqrt(36)\/sqrt(4) + sqrt(9)))\/((sqrt(18)*-1)\/sqrt(3)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.335 + -0.3848. Let p = 0.05 + n. Round p to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -157 + 163. Let v(j) = j**3 - 4*j**2 - 2*j. What is the smallest common multiple of 55 and v(l)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(66)\/((sqrt(33)\/sqrt(3) - sqrt(11)) + sqrt(11)) + sqrt(6))*-2)\/(-1*(sqrt(3) + sqrt(6)\/sqrt(2)*-3))*-4 + -1.\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + -4 - 4 - 6) + -20 + 0?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 + 10*k + 32. Let h be s(-3). Solve 5*y - 12 = y - 2*f, -4*f - h = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 times 37316?\nAnswer: 4104.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*1*(sqrt(684) - -5*(-1 + sqrt(684)) - (sqrt(684) + 0)*-5))**2*-1.\nAnswer: -82789 + 660*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 2:31 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, -0.042, -0.0182, -1 in increasing order.\nAnswer: -1, -0.042, -0.0182, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 2*u + 6, 17*b - 7 = -u + 20*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*(2\/28)\/((-9)\/108).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zpzzppzppppz. What is prob of sequence zpz?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 31*l**3 + l**2 + 2*l - 8. Let y(t) = -5*t + 132. Let f be y(26). What is the hundreds digit of r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178269911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sdnqzsnsdn. Give prob of sequence zdn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 4*m + 17, -5*m - 23 = s - m. Let f be (-8)\/(-54)*s\/(-2). Let u(p) = -p - 7. Let o be u(-7). Is f >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -345 - -346. Let p be -4 - 380\/(-35) - x\/(-7). Solve -10*q + 3 + p = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -6*m - 1 + 3*m + 0. Let j be y(-1). Suppose 4*o = -3*b + 3*o, -b - j*o = 0. Let p(r) = r - 7. What is p(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-12) - 6\/(-9). Let l(n) be the first derivative of 2*n**2 + q*n**4 + 0*n**3 + 0*n + 1. Find the second derivative of l(x) wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5085 + -4376. Is g at least 708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(245) - (1 + sqrt(245)))*4 + (sqrt(245) - -1*sqrt(245)*-2) + -5 + 2)*3 + -2)**2.\nAnswer: 966*sqrt(5) + 2734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 127140, 127153, 127156, 127143, 127108?\nAnswer: 127045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 374*m + 7 = -752*m + 373*m + 2, -6*m - 20 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand b - 2*b**4 - b + 2*b**4 + 2 - 2 + (3*b**2 - 3*b**2 + 12*b**2)*(0 + 0 + 3*b**2) - 5*b**4 + 0*b**4 + 2*b**4.\nAnswer: 33*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 96 + -24. Suppose 480 = 80*y - d*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(1\/5))\/m*m**(1\/3)*m*(m\/m**(3\/8))\/m*m*m\/(m*m**2*m) assuming m is positive.\nAnswer: m**(-149\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-56)\/490)\/((-60)\/630)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of 5*p**4\/4 - 2*p**3 - 8. Find the third derivative of w(t) wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -828400 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -144923 divided by -7.\nAnswer: 144923\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/16 and 13\/23250.\nAnswer: 186000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 9*r - 0*r. Let o be r + 497\/21 + (-2)\/(-6). Suppose n - 31 - o = 3*p, 0 = 3*n - 5*p - 164. What is the remainder when n is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -2. Suppose v*q = -q. Suppose 4*f + f - 20 = q. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 193, -22621 in descending order.\nAnswer: 193, 6, -22621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -28 in -0.2, -0.4, -2.53?\nAnswer: -2.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78801389 is divided by 5628670.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2296 and 252.\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 24875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 PM and 9:36 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of -29*s**6\/24 + 17*s**3\/2 + 28*s**2 + 3. What is the derivative of b(q) wrt q?\nAnswer: -435*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (61\/3 + -1)\/((-6)\/(-9)). Suppose 7*p - 2*p - 2*k - 23 = 0, -3*p = -5*k - o. Solve 0*g + p*g - 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -6. Let p be 76 - (z + 2 - 3). Let i = p - 47. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of 0 + 0*l**2 + 1\/27*l**3 - 3*l + 0*l**4 - 1\/90*l**5. Factor d(i).\nAnswer: -2*i*(i - 1)*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (0 + -9 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -11*z**2 - 8*z - 8. Let g(b) = 4*b**2 + 3*b + 3. Let x(l) = 8*g(l) + 3*t(l). Let o(u) = u. Calculate o(x(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 47179185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7456520326.\nAnswer: 2, 607, 6142109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31178*k = 30674*k + 3528 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 920 and 40031132.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1494767\/742 - 1551\/106. Let j = m + 4049\/2. Calculate the common denominator of -107\/14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) -2  (c) 4\/5  (d) -3  (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 PM and 4:44 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2449041.\nAnswer: 3, 7, 139, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 + 1. Let k(u) = 4 + 3*u - 3*u**2 - 2*u - u. Let a(s) = -k(s) + 4*w(s). Let d(h) = 2*h**2. Give a(d(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - -14 - 50\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -337 by 12.\nAnswer: -337\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -65 (base 8) to base 13\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1930 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 6*c - c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -98.99693172 + 0.11355172. Let n = -118.883454 - m. Let s = -20 - n. Round s to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**3 - 3*w**3 + 2*w**3)*(742*w - 311*w + 734*w).\nAnswer: -1165*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 24 = 9*i. Put -4, 5, i in ascending order.\nAnswer: -4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3212185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 3*u**2)*((1 + 1 + 0)*(1 - 1 - u) + (1 + 4 + 2)*(7*u - 6*u + 3*u)).\nAnswer: 78*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of s**7\/21 - 21*s**5\/2 + s**4\/6 - 5*s**3\/3 - 183*s. What is the third derivative of f(m) wrt m?\nAnswer: 120*m**2 - 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 191\/764 - (10\/(-8))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from sbsbbsbrebbl?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29050.\nAnswer: 2, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(162) + -3 - (-2*sqrt(162) + 1 - sqrt(162)))**2.\nAnswer: -360*sqrt(2) + 4066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/4 - (-6)\/(-4). Let m be 3 + -6*(-1)\/v. Let q be 3 + (m - 0) + 12. What is the greatest common divisor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 2 e, and 1 v when four letters picked without replacement from {v: 2, z: 8, e: 3, u: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*w + 3*t - 2 = -17*w + 7*t, 21*t - 21 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/28 and 75\/156544.\nAnswer: 1095808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -565?\nAnswer: 4\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 28  (b) 4  (c) -2\/53  (d) 1\/5  (e) -0.1  (f) 0.3  (g) 0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 5*g - 95 = 0. Suppose 5*x - g - 2 = -2*b, -b = -2*x + 3. Suppose -4*y - x*w + 129 = -6*w, -26 = -y + 2*w. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/(sqrt(50)\/sqrt(5)) + 3*sqrt(35)\/sqrt(5))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/10 - 266\/(-70). Let r = -1 - 2. Let f be 0\/((-2)\/(-12) + (-572)\/264). Put m, 5, r, f in decreasing order.\nAnswer: 5, m, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -99766 > -99624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -125\/2839968 and -157\/1080.\nAnswer: 14199840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -187 or -13?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 399*d**3 + 37*d - 18*d - 96*d**3 - 18*d.\nAnswer: 303*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -137020 = 87*r + 72563. Which is greater: r or -2410?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8.5086 and 0.2?\nAnswer: 1.70172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -11*b**2 + 21*b - 17. Let w(x) = -3*x**2 + 7*x - 5. What is -21*w(m) + 6*z(m)?\nAnswer: -3*m**2 - 21*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 607, 925, 849, 181, -1277, -3723, -7355?\n\"Answer: -33*g**3 + g**2 + 546*g + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.084387349 rounded to five decimal places?\nAnswer: -0.08439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/(-8) + 246\/(-42)*1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**(-2\/7)*a))**(-14\/9)\/(a\/((a\/a**(-3))\/a)*a*a\/(a*a*a*a\/a**2*a)))\/(((a**3\/a)\/a)\/(a*a*a*(a\/a**(-1\/3))\/a*a))**(1\/29) assuming a is positive.\nAnswer: a**(697\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of b**2*g*q**2 + 121*b**2*g + 5567*b**2*q - 3*b*g*q**2 - 2870*b*g*q - 3*b*q**2 - b*q - 2*g*q**2 - 3*g*q wrt b.\nAnswer: 2*g*q**2 + 242*g + 11134*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 25392 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 24\/83 or 0?\nAnswer: 24\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/3))**(-2\/27))**7\/(t*(t*t\/((t\/t**(9\/4)*t)\/t)*t)\/t*t**(1\/2))**(-4\/19) assuming t is positive.\nAnswer: t**(67\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2 - 3 + q - 1 + 3. Let j(k) = -k + 1. Give -5*j(b) - 2*u(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 - 8*f**2 - 21*f + 14. Determine k(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9*((-28)\/6 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 PM and 10:10 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3063 - 3034. Solve 0 = -4*o - v + 21 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 4*r + 177 - 15, -i - 109 = 5*r. Let q be (-120)\/(-160) - 2290\/(-8). Let b = q + i. Round b to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 458 - 680. Let p = x + 131. Which is the closest to -1?  (a) -3  (b) p  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 - 2*c**2 + 35*c + 5. Let o be n(5). What is the second smallest value in o, -1\/4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 159.46 - -0.54. Let c = l + -153.1. What is c rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 6*y**2 + 506. Let x(o) = 732*o - 4. Determine v(x(t)).\nAnswer: 3214944*t**2 - 35136*t + 602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a**4 - a - 4. Let b = -2 + 6. Let y(k) = -k**4 + b - 3 + 0*k**4. Let p(f) = i(f) + 4*y(f). Find the second derivative of p(o) wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -1.8, 3, 1203\/2, -84 in decreasing order.\nAnswer: 1203\/2, 3, -0.2, -1.8, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**6*y)**46 assuming y is positive.\nAnswer: y**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 5) + (-16 + -11 + 43 - 21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 - 31*y + 308. Give x(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 - 247*l**2 + 499*l**2 - 251*l**2.\nAnswer: l**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 912140\nAnswer: -1\/912140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 1, 3, -3.\nAnswer: -3, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -16218916 or -16218912?\nAnswer: -16218912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 4 = 0, -23 + 1 = 5*m + u. Let f be (-94)\/18 - m\/18. Let p(k) = k**3 + 6*k**2 + 3*k - 2. Give p(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 162.194 + -1.194. Which is the closest to 2\/11?  (a) 5  (b) -1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1032 (base 4) to base 5\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4379*w - 4 + 4 + 4346*w + (-3*w + 2*w - 14*w)*(3 + 0 - 2).\nAnswer: -48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58 divided by 105.\nAnswer: -58\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 2 w when four letters picked without replacement from bbbbwbbwbwbbwb?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -72, -2, -17.\nAnswer: -72, -17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1257 = -8*d - 1281 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2*j**3 - 4)*((0 - 3 + 1)*(-2 + 1 + 2) + 1 - 2 + 5).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/15 of a hour in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -90 + 75 + (39 - 2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 269906 or 269903?\nAnswer: 269906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-12)\/(4 + -8) - (-18 - -1) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 859144531 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.075 in 0, -0.7, 1, 3818, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/(sqrt(48)*1).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1.647  (b) 12  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17835 - 65874. Let y be ((-18)\/(-27))\/(16\/m). Let f = y - -3498. Calculate the common denominator of f and -29\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 - -122022323?\nAnswer: 122022324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -v**2 + 3 + 2191*v**3 + 2*v**2 + 50*v - 2192*v**3 - 2*v**4 to the form p*v**2 + x*v**3 + f*v + r + a*v**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**2 + 58*o. Let t(u) = 996*u + 1. What is q(t(c))?\nAnswer: -1984032*c**2 + 53784*c + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3018543 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34 - -23. Let x = 41 - w. Let g = x - -19. What is the smallest value in -4, g, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + y**2 - y)*(0 + 3 - 2)*(-12 - 13 + 14).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {r: 3, y: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-476)\/(-12)*(-1 - (-1 + -3)). Let x = 47 - 30. Calculate the highest common divisor of x and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -155*i**4 - 8*i**3 - 8*i**2 - 4704*i?\nAnswer: -1860*i**2 - 48*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -5, 7, 5, 6467 in increasing order.\nAnswer: -5, 5, 7, 8, 6467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + 0*v + v)*(2*v - 6*v + 2*v) - 5*v**2 + 960*v - 469*v - 477*v + (-4*v + 4*v + v)*(2*v - 3*v + 3*v).\nAnswer: -11*v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 - 18*t + 92. Give x(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 17*v**3 - 2. Let d(c) = -50*c**3 + 7. Let q = 1833 + -1840. Give q*t(o) - 2*d(o).\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 12 = -k. Suppose -s + 7 = 4. Suppose 0 = k*v + 12, 3*a + s*v - 2 = a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 149 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 459\/(-20) + (-572)\/11440.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 194161051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000063323879 rounded to 7 dps?\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 4 = -2*m, -4*m + m = -3*d + 9. Let x(k) = -1 + 38*k**d + 42*k**2 + 3*k - k + 2. Is x(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 116550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2531 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 the nearest to 5 in 1, -3, -5, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 117722 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 41 - 61 - (-166)\/10\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-1)\/(-3) - 1)*(-3 + -66)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 128428\/(-1986) + 48\/(-128) + (-242)\/(-48) + -3.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-1\/2))**(-1\/36)*(j**(-2\/5))**(2\/5)*(j**0\/(j**(-1\/11)\/j))\/((j\/j**(1\/9))\/(j*(j*j*j**(-6)*j)\/j)) assuming j is positive.\nAnswer: j**(-59393\/19800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-72)\/(-16))*(-13)\/(2600\/24).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4048, -8259, -12470, -16681, -20892?\nAnswer: -25103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27588 and 41133708.\nAnswer: 41133708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 165688*o**4 - 84985*o**2 wrt o.\nAnswer: 3976512*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -12.777+299.1677\nAnswer: 286.3907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**4 + 1780*q**3 + 160190*q**2 + 315060*q + 156645.\nAnswer: 5*(q + 1)**2*(q + 177)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 24  (b) 2\/465  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 4:37 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*s**2 + 4*s**2 + s**2 + s**2 + 2*s - 2*s + (-2*s - 2*s + 6*s)*(1 + 2*s - 1) - s + 2*s**2 + s + (s - 2*s + 0*s)*(1 - 5*s - 1).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9711 + -9918. Are d and 2\/29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four fifths of a millennium in years?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 3*c + 2*c**2)*(-4 + 4 + 3*c) + 1454*c**3 - 64702 + 64702.\nAnswer: 1460*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 divided by 106854?\nAnswer: 1\/3238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/4*192\/(-1056)*(-14)\/77.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (2 - 7) - (15 + -14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(-18)*14 + 4. Put o, -4, -9 in descending order.\nAnswer: o, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + 4*c - 6*c)*(0 + 0 + 2)*(-c + 0*c + 8*c).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3420055?\nAnswer: 5, 283, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 1877604224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11101201110222 (base 3) in base 4?\nAnswer: 20322200123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53 divided by -52.\nAnswer: -53\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qvq when three letters picked without replacement from qqqvvqqqqqvqqqqqqqvq.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w*(w*w**(-2\/7))\/w)\/w)\/w)\/(w*(w**(-2)*w*w)\/w))\/((w*((w*w*w*(w\/w**(4\/11))\/w)\/w*w)\/w)\/w**(-22)) assuming w is positive.\nAnswer: w**(-1996\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -6531*o - 30. Let x(g) = -3*g + 5. What is r(m) + 6*x(m)?\nAnswer: -6549*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11374, 11442, 11510?\nAnswer: 11578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/6*(-8 + (-14586)\/(-255))*(-15)\/9?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 96*a**2 + 2096*a - 522. What is h(63)?\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -8. Let o = 3 - p. Suppose -d - 6 = o*d + 5*f, -4*d + f + 6 = 0. Calculate the remainder when 1 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*m + 3*m**4 - 7*m**4 - 3*m**3 + 2*m**4 to c + h*m**3 + n*m**4 + z*m**2 + a*m and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25524*g**2 + 67531*g?\nAnswer: -51048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 2*y = -20, -2*y - 2 - 22 = -4*l. Solve -k - 8 = 3*r, k = 5*r - l*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 + 40. Let b(v) be the first derivative of 2\/3*v**3 + 0*v + 246 + 0*v**2. Determine b(r(x)).\nAnswer: 2*x**4 + 160*x**2 + 3200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 45.2 + -50.2. Let v = -0.2 - 0.8. Which is the closest to 0.2?  (a) 1.5  (b) v  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j + 6. Let f = 22 - 10. Let k be t(f). Calculate the greatest common factor of k and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10021 + 11?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 3*j - 30, j = -2*u + 6*u - 41. Let d(g) = -8 + 18 + 0 - u - 2. Let n(z) = -4*z + 4. What is -d(m) - n(m)?\nAnswer: 4*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p**0*p)*p**5*p)\/(p**8*p\/(p\/(p*p*p**(-4)))))\/((p**(1\/3)\/p)**(-46)\/(p\/(p*p\/(p**(-1\/3)\/p)))**(-32)) assuming p is positive.\nAnswer: p**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15*(5\/3 - -3). Suppose -a = -3*a + n. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 61\/38  (b) -41.9  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -3*g + 17, 5 + 2 = -3*g - 4*b. Suppose g*l - 47 - 34 = 0. What is the greatest common divisor of 216 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-111)\/(-21) + (-2)\/7. Suppose -t*n + 151 = -59. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 489*v - 4*v**2 - 432 - 129*v - v**2 - 70*v**2 = 0.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 44552185*d*s**3 - 116684244*d wrt s.\nAnswer: 133656555*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10.1, -1, -2, 3 in decreasing order.\nAnswer: 3, -1, -2, -10.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 64 + -62. Suppose -3*v = -2*o + 2120994, -v + 0*o = u*o + 707006. Round v to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26*g**2*m**4 - 2*g**2*m**2 + 2*g**2*m + 4*g*m**4 + 14*m**2 wrt m.\nAnswer: -624*g**2*m + 96*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 65 = -2*p. Suppose 2*u - 17 = p. Which is bigger: u or 13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 4 - 2)*(7*f - 3 + 3)*(-7*f - 18222570 + 18222490 - 27*f) in the form x*f + r*f**2 + m and give x.\nAnswer: 1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 39\/((-729)\/234 + 3). Round x to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -619015783367 - 5.\nAnswer: -619015783372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-6\/5)*q)**(-2\/45) assuming q is positive.\nAnswer: q**(2\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 15300 times 1124?\nAnswer: 17197200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 14  (b) -0.5  (c) 0.11  (d) 33  (e) 0.2298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 244531 - 101245?\nAnswer: 143242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n + 15. Suppose -45 = 4*o - 9*o. What is the tens digit of a(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 11*s + 7*s - 4 = 0, -2*s - 5 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -230\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -17, -30, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26642, 26625, 26606, 26585, 26562?\nAnswer: 26537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - c**3 + 4*c**3 - c**3 + 1 - 1 - 3*c**3 + (-3 + 3 - 2*c)*(0 - c**2 + 0) - 3*c + 2*c**3 + 3*c - 1395 + 1395 - 57*c**3.\nAnswer: -54*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z - 3204 = -11148. Does 26 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 16*t**2 - 12*t + 37. What is m(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003911569 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/8 and 91\/8172?\nAnswer: 16344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 91 and 14917.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -23392170 != -23392170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 46\/4097, 2\/17, 0.1, 0, -1\/3, 1.\nAnswer: -1\/3, 0, 46\/4097, 0.1, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000959865845 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/571545 and 43\/195.\nAnswer: 571545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h - 2*h + 4*h)*(0 + 2 - 1) - 2*h + 0 + 0 - 170 + 89*h + 170 - 1 + 4*h + 2 - 2*h.\nAnswer: 88*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 - -3*(-420)\/(-9). Let d = f - 82. Is d a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44165877 is divided by 285.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 85762738 - 85762738 + 2577*q**3 + 1393*q**2 wrt q.\nAnswer: 15462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -d - 5*u, 0 = -3*d - 2*u - 3*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 520584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + w + 1 = -0*z, 0 = 2*z - 3*w + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q\/(q*q**1)*q))**(-4\/11)*(q*q**(-2\/11))\/q**(1\/2))\/(q*(q*q**(2\/9))\/q*q*q*q\/(q**(-1)*q)*q*q*q*q*q*q)**(7\/5) assuming q is positive.\nAnswer: q**(-13853\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -53*c**5 + 5*c**5 + 24*c**4 + 7*c**2 - 3*c**3 - 7*c**2 = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -66198624\/3982385 + -6\/65285. Let b = t - -78520\/4819. Let v = b - -8609\/474. Find the common denominator of v and -57\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1044504483594 + -1772088550289526527\/1696583. Let q = 7\/4573 + k. Let m = q + -10\/53. Which is smaller: m or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 11 = 14. Let w(s) = -s**2 + 13*s - 18. What is the least common multiple of o and w(11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 259812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 4*q**4 + 136*q**3 - 1040*q**2 - 36000*q + 288000 = 0.\nAnswer: -30, -24, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(612)*2 + 1 - (sqrt(102) - (sqrt(102)*-1 - sqrt(102) - sqrt(102))*-3)\/sqrt(6).\nAnswer: 1 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -5. Let r be c\/(-3) + 5\/3. Factor -2\/5*b - 2\/5*b**3 - 4\/5*b**r + 0.\nAnswer: -2*b*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*s - 19*s**2 - 8*s)*(13*s - 81 + 81).\nAnswer: -247*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -127076, -254229, -381494, -508871, -636360, -763961?\nAnswer: -891674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8838?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(-3*sqrt(12)\/sqrt(3)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39383380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**5*r**3 + 96349*k**2*r**3 - 347899*k*r**3 wrt k?\nAnswer: 40*k**3*r**3 + 192698*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -2*y**4\/5 + 1148*y**3\/5 - 7966*y**2\/5 + 15892*y\/5 - 9072\/5 = 0?\nAnswer: 1, 2, 4, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of 47*k**7\/35 + k**5\/60 - 37*k**4\/24 + 25*k**2 + 3*k. Find the third derivative of z(y) wrt y.\nAnswer: 6768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1058.39*78.\nAnswer: -82554.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -180*d*m*v + d*m + 8*d*v + 2*d + 2*m*v - m - 2*v - 71 wrt m?\nAnswer: -180*d*v + d + 2*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 c when three letters picked without replacement from sgmsggmmsmmmgmmcmmss?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 2*d = 952, 5*d = 2*y - 7*y + 2400. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -5*f**4 + 152860*f**3 - 1692389460*f**2 + 8011094217280*f - 13733017475851520 = 0.\nAnswer: 5192, 10094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -14*z**2 + z - 2. Is r(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -b + 2e1?\nAnswer: 2d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1413870\/11 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -805*t**2 + t - 3. Let v(o) = -534*o**2 + o - 2. Calculate -5*j(f) + 7*v(f).\nAnswer: 287*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -61*u - 671. Calculate n(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 5*y - 4*i, -2*i + 217 = -y + 224 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*k - 100 = 13*k. Let w be (3*68\/18)\/((-2)\/(-3)). Suppose -19*o + 128 = -w*o. What is the remainder when o is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 43\/2 of a second?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1337*c**3 - 863*c wrt c.\nAnswer: 8022*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 + -68. Let s = t + 137. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**17\/x*x\/((x*(x\/((x\/x**20)\/x))\/x)\/x))\/(x**(-1)\/x)**(16\/5))**(-38) assuming x is positive.\nAnswer: x**(-646\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 45*p**5 + 2*p**4 - 6*p**3 - 3*p**2 + 69*p + 1919 wrt p.\nAnswer: 900*p**3 + 24*p**2 - 36*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-100)\/75)\/(((-35)\/15)\/(-7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3354\/688)\/(0 - 9\/6).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5600 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of -k**4\/12 + 19*k**3\/6 - 16*k**2. Let s be c(7). Solve -l + s*l = 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -835 + 1077. Calculate the highest common divisor of c and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2841578539 to the power of 1\/3, to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2200120010121 + -2?\nAnswer: 2200120010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72441*y**3 - 5*y**2 - 90468*y**3 + 5*y**2.\nAnswer: -162909*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17.1 - -17. Which is bigger: 2\/9 or u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 13. Let c be (4\/(-6))\/(n\/(-276)). Let t = -13 + c. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18?  (a) 2\/15  (b) -11  (c) 2\/11  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**2 + 3*u**2 + 2*u**2)*(14*u + 0*u + 15*u - 5 - 7*u + 5 - 4*u + 5*u - 2*u + (0 + 0 + u)*(4 - 5 + 0)).\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 62938\/352792 + 11\/(-121) - (-2)\/(-19) and (-225)\/(-2)*(-2)\/42.\nAnswer: 5908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 37\/7  (b) 1.43  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*d**2*y**5 - 38*d**2*y**4 + 2*d**2*y**2 - 4*d**2*y + 8*d**2 wrt y.\nAnswer: 240*d**2*y**2 - 912*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3*i**3 + 145*i**2 + 106*i + 616. Determine f(49).\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (0 - (-4 + 8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from jvpp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -8, -5, -3, 12, 6.\nAnswer: -8, -5, -3, 2, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -29*r + 8. Is j(-16) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.08 + -0.08. Which is the closest to u?  (a) -5  (b) -3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 + 3*b**2 + b. Let l be g(3). Let v be (-2 - (-3 + 0)) + l. Suppose 4*c - v = 0, 3*n - 414824 = -c + 2075177. Round n to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 3*i + 21, -z - 4*i = 2*z - 32. Solve -12*j + 10*j + 6 = -3*a, -4*j + z = -4*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -555*y + 44648. Determine n(80).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13906 + 13911. Solve 0 = 3*w + t + 11, 4*t + 5 = n*w + 46 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 0)\/((-11)\/(-1243)) + 0. Suppose z + m = 5*y, -2*z + 32 = y + 5. What is the highest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.2, 5, -30, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -165*g**3 + 44*g. Let k(n) = 17*n**3 + 2*n**2 - n. Let i(y) = 88*y**3 + 11*y**2 - 4*y. Let h(a) = 2*i(a) - 11*k(a). What is -44*h(w) + 3*u(w)?\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 0.26642.\nAnswer: 0.079926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/9*3)\/1. Let r be ((-1)\/2)\/(3\/(-1152)). Let o be 2 + (r\/(-50))\/2. Is o at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (48 + 70 + 2*f - 183)*(-4 + 2 + 1) as i*f + u and give u.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 6*p**3 + 519*p**2 + 3*p + 279. What is the tens digit of c(-86)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of u**3\/3 - 2*u**2 + u + 2. Suppose z = -3*f - 14, 0 = -5*z + 6*f - f - 90. Let o be (9 - 0) + (z - -13). Give j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 36\/30 - (-1)\/(-5). Let v(p) = -46*p**3 + 2*p**2. Let f be v(y). Let b = -7 - f. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8611809 and -0.4.\nAnswer: 3444723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 17 = -1. Suppose -3*i = 2*c + l*c - 5157026, -8 = -4*c. Let x be i\/(-9) + 1 - (-1)\/(-3). What is x rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that y**2\/8 - 235*y\/8 + 87 = 0.\nAnswer: 3, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.059316 at least -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -53*n - 23. Let t be d(6). Let b = 333 + t. Let f(m) = -8*m. Let i(j) be the second derivative of -2*j**3 - 7*j. Give b*f(x) + 5*i(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 8*n + 37. Let s be z(-4). Suppose -208 = -s*y + 2*j, 4*j = -y - 15 + 61. Calculate the remainder when y is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 964621 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 + 3*x - 374. Calculate k(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10*1274\/(-9800))\/(-13)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.17203 + 260.08203. Let l = -260 + r. Let m = 2 + -5. Which is the third smallest value?  (a) l  (b) m  (c) -0.2  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/43 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 8 = 3*y, 3 = -5*y + v + 15. Let a(d) = 30*d**2 - d**3 + 16 - 40*d**2 + 0*d + 18*d**y + 0*d. What is a(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.071  (b) 415\/18  (c) 2  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + (-90)\/21)*(-56)\/64.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f*f*f\/(f\/(f*f**(1\/3))*f)))\/f**(-14)*(f*f\/(f\/((f*f\/(f*f**(-3))*f)\/f))*f)\/((((f*f**5*f)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 250?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - 20*v**2 + 6*v - 24. What is o(20)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -559921 and 0.11?\nAnswer: -61591.31","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Work out -19 + 56612475.\nAnswer: 56612456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.1  (b) 2\/17  (c) 2\/109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 26\/(-52) + (-117)\/2. Let f = q + 64. Suppose -f*r = -3 - 62. Calculate the highest common divisor of 117 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that u**3 - 112*u**2 - 7977*u + 80136 = 0.\nAnswer: -56, 9, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/12 and -99\/47109652?\nAnswer: 141328956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*o**3 + 3*o**3 - 5*o**3)*(-1 + 7 + 1)*(6 - 3 + 0) in the form k*o**3 + r + u*o**2 + m*o and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.8843 minus 2.04?\nAnswer: 3.8443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*d**3 + d**3 - 6*d**3)*(1 - 3 + 3)*(7991 - 12189 - 18445 - 9892) in the form z*d + t + h*d**2 + j*d**3 and give j.\nAnswer: 32535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k**3 - 69*k**2 + 32*k - 102. Determine v(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 328710 is divided by 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**3\/3 - 4*x\/3 = 0. Calculate x.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12536955*-0.12.\nAnswer: 1504434.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2a1 + -66335?\nAnswer: -66044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4867927612?\nAnswer: 2, 61, 67, 191, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -307625, -1230432, -2768435, -4921640, -7690053, -11073680?\nAnswer: -15072527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2833636849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 130011323 (base 4) to base 9.\nAnswer: 184752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -691666 - -31666. What is p rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13267 (base 13) to base 5.\nAnswer: 2114300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 210625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 2*s + 2 = 0, 2*y - 3*s + 0 + 1 = 0. Solve 37*v - 38*v = -y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 378192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 92\/469 + 6\/67. What is the nearest to y in -1, 0.2, 13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1710 and 34542.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3755 = 5*o, 3*o = -2*a + 1313 + 194. Is a less than 755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 - (31 - 37).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/5 - 26903*d\/5 + 26904\/5.\nAnswer: -(d - 1)*(d + 26904)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - 47 - (1 - 17 - 1 - (444 + -451)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 141433 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-31 + 60 - 3 - d)*(-3*d**3 + 8*d**3 - d**3) to b + p*d + l*d**3 + x*d**2 + g*d**4 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109 = 13*n + 21 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-2)\/y**(-3)*(y*(y*y*y**0*y*y*y)\/y*y)**(-41) assuming y is positive.\nAnswer: y**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -14*g**3 - 5*g**2 + 8*g + 11. Let f(s) = 5*s**3 + 2*s**2 - 3*s - 4. Let n(t) = 11*f(t) + 4*w(t). Factor n(u).\nAnswer: -u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4 = -4. Suppose -4*n + 6 = -2. What is the smallest common multiple of (n\/(-5))\/(1\/(-5)) and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v\/((v*v**(-1\/9)\/v)\/v))*v\/(v*v**(-4)\/v) assuming v is positive.\nAnswer: v**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-70)\/(-8))\/(1\/4). What is the highest common divisor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 257 + 115 = -62*k. Let f(v) be the second derivative of -v**5\/20 - 5*v**4\/12 - 5*v**3\/6 + v. List the prime factors of f(k).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 0 = -6. Suppose 0*k = -5*s - 2*k + 45, 1 = b*s - 4*k. Suppose 3*t + 1 = s. Solve 10 = -5*r + 4*o - t*o, -2*r + 4*o = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 3 c when four letters picked without replacement from {d: 2, c: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -686*u + 33650. Determine w(49).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 8)*(-1 - 2 + 4)*(-104*m - 101*m - 96*m - 247*m).\nAnswer: 4384*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -u**3*z**3 - 30699817*u**3*z**2 - 1259*u**2*z**2 - 1621*u**2 - 5*z**3 wrt u.\nAnswer: -6*z**3 - 184198902*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, g: 5, m: 2}. Give prob of picking 3 g.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + 515*u - 1037. Calculate d(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 4277\/3  (c) -0.01  (d) 4\/5  (e) 1  (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 - -4 - 12\/3. Let p = -0.09 - -0.09. What is the nearest to p in l, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/1711530 and 179\/30.\nAnswer: 1711530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirty-three fifths of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16.8 + -19. Let r = -2 - c. Let p be 13\/5 + (-4 - -1). What is the third biggest value in r, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -68662, -68805, -69042, -69373, -69798, -70317?\n\"Answer: -47*f**2 - 2*f - 68613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 184*o. Let i(a) = -2*a**2 - 6*a. What is i(f(c))?\nAnswer: -67712*c**2 - 1104*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24.982 + -0.018. Let m = i + 70. Is 1\/4 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*n - 19*n. Put n, -4, 0.096, 3\/8 in ascending order.\nAnswer: -4, n, 0.096, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**2 - 4*n - 6. Suppose -s = 3*g - 251, 6*s - s - 353 = -4*g. Let f = 77 - g. What is d(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -115 in -2, 6, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 5*k + 11, -15*o + 18*o = k - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 27\/((-4050)\/(-240))*10\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, 0.122, 13, -0.02, 16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a + 4*a**4 + 5*a)*(673*a + 842*a - 149*a - 237*a + 2071*a).\nAnswer: 12800*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do 62.283 and 2\/909 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 114695789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 629053.4 millilitres in litres?\nAnswer: 629.0534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/3*((-68)\/(-48))\/(-17).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 699065624?\nAnswer: 2, 31, 971, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 600146811?\nAnswer: 3, 11, 551099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*38\/(-5))\/((-2)\/((-33)\/(924\/70)))?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -5*n - 5, i - 4*n = 3*i + 8. Suppose -r = 4*m - i*r - 9, 3*m - 4*r + 3 = 0. What is the first derivative of -m - 3 - 1 - 11*j**2 wrt j?\nAnswer: -22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 6 = -2*r + n, -5*r + 2*n + 15 = 0. Suppose r*h + 9 = -4*g + 234, -375 = -5*h - 2*g. Let j = h - 40. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**4 + 282*t**3 + 3014*t**2 + 1014*t - 16308 = 0. Calculate t.\nAnswer: -9, -3, 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 - 21. Suppose -3*a + a = -u + 1, -4*u = -5*a - m. Which is greater: -0.2 or a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 - 7*w**2 + 11*w + 18. Suppose 12*i = -90 - 6. Let r be f(i). Let c be (-9)\/r - 24\/16. Solve 5*u + c*u = 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, s: 8, j: 8}. Give prob of sequence jwsj.\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 13170 divided by 15\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 76*i**2 - 45442916*i + 4783464 = 0.\nAnswer: 2\/19, 597933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(39 - (-2100)\/(-56))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9\/104 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 27011680 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.4974 + -4.4974. Suppose -4*i + 7*i - 6 = 0. Sort 4, -3, i, n in descending order.\nAnswer: 4, i, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1660646.642 to the nearest 10000.\nAnswer: -1660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 727 = -o - 5*m + 726, -4*o + m + 38 = 0. Solve -o*r + 77*r = -408 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -98 smaller than -484\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -82 or -1860\/23?\nAnswer: -1860\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 169886118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26430*k**5\/11 + 51068*k**4\/11 + 646*k**3 - 640*k**2 - 8*k\/11 = 0 for k.\nAnswer: -2\/5, -1\/881, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -451299 (base 10) to base 13.\nAnswer: -12a554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 + -8. Let c = -3 - -3. What is the smallest value in c, -2\/17, s?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 3:22 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1880, -3759, -5638?\n\"Answer: -1879*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 131 + -1 - (193 - 195). Let j = -23 + 35. What is the highest common divisor of j and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.326946578 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p**2 - 5*p - 6. Let w be b(5). Let o be (-8)\/(-2) + (w - -3). Let i = o - 26. Solve 2*z + i = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 9:15 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 9:04 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - 2. Let o = 5 + -3. Which is the closest to k?  (a) o  (b) 0  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1190*z + 4558*z - 1051*z)*(5 + 0 - 3).\nAnswer: 9394*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*t + 476 + 478 - t - 954.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 532993 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3424 (base 6) in base 12?\nAnswer: -574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 1620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 3*u**3 - 10*u**2 + 17*u + 4. Let y(k) = k**3 - 5*k**2 + 8*k + 2. Let t(v) = 2*b(v) - 5*y(v). Let g = 52 - 58. Give t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(42)\/sqrt(7))\/sqrt(2) - (1 + ((sqrt(72)\/sqrt(2))\/sqrt(12))**2).\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57 + -58. Let f be 8\/(-12) + 28\/6. Suppose -f*u - 3*t = -8*u + 6, 6 = -u - 3*t. Which is the nearest to u?  (a) 0.1  (b) 4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1b9 (base 14) to base 2\nAnswer: -101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-4 + ((sqrt(85)*-2*3 - sqrt(85))\/(sqrt(40)\/sqrt(2)))**2).\nAnswer: 2451\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 69\/2*(-189)\/((-45549)\/(-482))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = y - 479, 218 = y - d - 273. Does 23 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176930573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -158 + 163.45. Let i = y - 5.6. Which is the third biggest value?  (a) 4  (b) 1  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - 2. Which is bigger: f or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -112 or -7?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of u**3 - 677*u**2 - 4*u + 1138 wrt u?\nAnswer: 6*u - 1354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of -j**5\/20 + 199*j**4\/8 - 145*j**2. Factor k(h).\nAnswer: -3*h*(h - 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (15 + -22)) + -29 + -24\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {p: 7, g: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {q: 9, o: 6, b: 1, m: 2, r: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -57 + (-132 - (80 + -311))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2486*h + 65593 - 30539 = -250836 for h.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12524 and 1564?\nAnswer: 4896884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*q - 44 = 29*q. Determine i so that 8 + 10*i - 7*i**2 + 4*i**2 + 7 - q*i = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h - 3. Let c be b(6). Let g be (7 - -10) + c + 0. Solve 0 = 5*k - 0*k - g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of -s**5\/20 + 3*s**4\/4 - s**3\/3 + 17*s**2\/2 + 2712*s. Calculate u(7).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lnllllnnlllnlllnnl. Give prob of sequence nn.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, -7, -11, -17, -25, -35, -47?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 102\/(-104) + (-3)\/12 and -46\/3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 - 31*q**2 - 129*q + 2034. Give x(16).\nAnswer: -3870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 9) + (-236)\/76 + 0?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*u + 35 - 35)*(3 + 0 - 2)*(-1 - 4 - 2).\nAnswer: 49*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 123647730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (43*t**3 + 0*t**3 + 2*t**3)*(-1 + t**2 + 3 + 2*t**2) - 10 - t**3 + 10 - 39*t**5.\nAnswer: 96*t**5 + 89*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-33)\/99)\/(2\/28*(-399)\/63).\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 16 - 63 - 12*m**2 - m**3 + 16 + 4*m + 16. Give i(-12).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 6, s: 3, j: 6, v: 3}. What is prob of sequence osos?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zizz when four letters picked without replacement from {e: 1, n: 3, i: 5, z: 7}?\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 19704, 78683, 176980, 314595, 491528?\n\"Answer: 19659*k**2 + 2*k + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.2748 and 35082526949.\nAnswer: 35082526948.7252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 111 divide 18204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/143)*g**(1\/39))\/(g**(-4\/11)*g)**(-2\/7) assuming g is positive.\nAnswer: g**(95\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -105*b**2 - 177*b + 59*b + 59*b + 58*b.\nAnswer: -105*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 1\/19, 1\/15, 4 in increasing order.\nAnswer: -6, 1\/19, 1\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1131\/(-18))\/13 + 3\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1726739 divided by 7.\nAnswer: 246677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 5 = -3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1926308?\nAnswer: 2, 481577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16.8 - -15. Let q = m + 0.8. Which is greater: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 99 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-4*sqrt(15)\/sqrt(5) - sqrt(15)\/((sqrt(10) + 2*sqrt(10))\/sqrt(2)))**2*5.\nAnswer: 2645\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 121.067 + -0.067. Which is smaller: -8 or a?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - 0)*(-4)\/(-24). What is the nearest to w in 2, -3, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 115*y**2 + 16*y. Let x(k) = -38*k**2 - 5*k - 2. What is -3*m(d) - 10*x(d)?\nAnswer: 35*d**2 + 2*d + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/(-3) - -2) + 2. Let w(y) = -4 + m*y - 4*y + 5 - 3*y. Determine w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*z - 33*z = -19 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112)*-3*4 - sqrt(112)) + sqrt(112))**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from adkoaokooooakkoaoak. What is prob of picking 2 o, 1 a, and 1 k?\nAnswer: 175\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 69 and 12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 6*k + 4. What is the remainder when 171\/(-27) + 6 - 56\/(-6) is divided by a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 12, 4, 0, -887, 3 in decreasing order.\nAnswer: 12, 4, 3, 0, -11, -887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/232229 and 151\/798?\nAnswer: 185318742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.94 - -0.06. Let k = -3.5 + f. Let t = -5.72 + 3.72. Sort t, k, -4 in increasing order.\nAnswer: -4, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1957 by -35.\nAnswer: -1957\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lrrbrkrrbbmkbk. Give prob of sequence rlm.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes after 8:27 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 156 - 138 - (9 - 1 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -13301203 (base 4) to base 15\nAnswer: -967d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, v: 5, c: 3, l: 1, w: 1, i: 3}. What is prob of picking 1 c, 1 l, 1 v, and 1 n?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z. Let l(r) = 4*r + 1. Let w(d) = 7*a(d) + 2*l(d). Let g be w(-2). Sort g, -1, -3.\nAnswer: -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1\/11  (b) -1  (c) -0.2  (d) -1\/2  (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 + 5*w**2 - 5*w. Let v be z(4). Let f = -2\/5553 - 64751\/94401. Let p = 1\/51 + f. Which is the closest to 0?  (a) 2  (b) v  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4633.3 and -0.4?\nAnswer: 4632.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.16421 and -0.29.\nAnswer: 0.0476209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28*q**6 - 26*q**5 - 50*q**2 - 6?\nAnswer: -3360*q**3 - 1560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 3*w**2 - 2. Let k be r(-3). Let x be 5\/((-25)\/(-12)) + -2. Which is the second smallest value?  (a) x  (b) k  (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/(-2)*((-60)\/10)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -5*(0 + sqrt(13)))**2.\nAnswer: -10*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 take away 73?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-9)*(-12)\/(-56)*-7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -467*h**2. Let z(c) = -1 + 2*c - 2 + 3. Give v(z(s)).\nAnswer: -1868*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 s, and 1 t when three letters picked without replacement from {m: 1, a: 1, t: 1, p: 2, s: 1, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - 0. Let p be y + (-1)\/(-3)*0. Which is the second smallest value?  (a) 2\/11  (b) p  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -468027367371*b + 468027367371*b - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18 or 1625.28?\nAnswer: 1625.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/3 - -1. Let k be 0\/((2 - 3) + 0). Is g not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of 0 + 0*n + 0*n**4 + 6*n**2 - 1\/30*n**5 - 5\/6*n**3. Find the first derivative of x(k) wrt k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10\/7*l + 4\/21*l**2 - 4\/3*l**3 - 2\/21*l**5 + 2\/3*l**4 - 6\/7 = 0 for l.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.11149319803 + -0.1?\nAnswer: -1.21149319803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 114 - (-51 + -34 - -55)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/4  (b) 1\/6  (c) -1820  (d) -9  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d - 2*d - 3*d + 2)*(47 + 79 + 26 + (-4 + 3 - 1)*(3 + 0 + 0) + 6 - 3 - 2) + (-2 + 0 + 4)*(-2*d - 3 + 3) + 2 - 2 + d.\nAnswer: -297*d + 294","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 + 4)*(-3*r**3 - 4*r**3 + 5*r**3 + (-r**2 - r**2 + 3*r**2)*(-4*r + 0*r + 6*r) + (2 + 0 - 1)*(-4*r + r**3 + 4*r)).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/4 + n**2 + 15*n - 72.\nAnswer: -(n - 6)**2*(n + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 - 48 = -7*r. Solve r*y - 2*s + 15 = 0, 5*y + 17*s - 13*s = -15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*q**2 + 46 - 25 - 18*q**2 - 21.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -9 - 5 + 15*a - 11*a. What is v(13)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(48) - sqrt(1200))\/sqrt(12))\/((sqrt(6) + sqrt(24)\/sqrt(4))\/sqrt(3)) + -2.\nAnswer: -2*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1720063144 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 AM and 3:13 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 203 - 5*i - 200 + 37*i.\nAnswer: 32*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11146.08909 - -11146. Let o = x - -0.0855. Round o to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*(6118\/(-95))\/(-23))\/(4\/(-8))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3672 and 111870?\nAnswer: 22821480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*a - 0*a - 1449. Let b = 2622 + -2604. What is the remainder when a is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -30.821, 2\/17.\nAnswer: -30.821, -0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 83\/6  (b) 38\/3  (c) -3  (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(27\/(-24)) + 7)*-9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppgssrsrlrsspp. Give prob of picking 2 r and 1 l.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 7:37 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3*(0 - (-1)\/(-1)). Let u(b) be the second derivative of b**2 + 1\/10*b**5 + 0 + 0*b**4 + 0*b**p + 2*b. What is the first derivative of u(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5328833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 28561568 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4370798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, n: 8}. Give prob of picking 2 z and 1 n.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 76\/3 - 386\/15. Which is the nearest to 1?  (a) v  (b) 1  (c) -14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a4 - 6268aa?\nAnswer: -626806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 + -8. Let f = -12 + 8. Let u be (-4)\/((-144)\/20)*12\/10. Which is the nearest to u?  (a) m  (b) 1\/4  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 divided by -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.0332*0.4\nAnswer: -0.01328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of -2*b**2 + 1\/33*b**4 + 0 + 0*b + 1\/330*b**5 + 1\/11*b**3. Factor u(n).\nAnswer: 2*(n + 1)*(n + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -10*f**4 + 9*f**2 + 6*f - 592. Let j(r) = 29*r**4 - 26*r**2 - 17*r + 1777. Let g(p) = 6*j(p) + 17*m(p). Differentiate g(q) wrt q.\nAnswer: 16*q**3 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 + 26*y + 26. Give z(27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1410257437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -165642 (base 9) to base 11.\nAnswer: -70089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = s + 2*s - 9, 0 = -2*b + 5*s - 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (0 - (6 + -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133195053 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 12:25 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 - 7*v - 6. What is j(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l. Let f(v) = v**3 - 8*v**2 + 5. Let n be f(8). Suppose -2*c - 47 = -5*x + 2*c, 0 = n*x - 2*c - 51. Let o(g) = -11 - g + 5*g + x. What is o(s(z))?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + u - 19 = 0. Let r = -4 - u. What is the remainder when 87*(-1 - 8\/(-6)) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -2 + (sqrt(34) - ((sqrt(136) - sqrt(136)*-2) + sqrt(34)))\/sqrt(2)*-3 + 3.\nAnswer: 5 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f**4*r*y - 1841*f**4*r + 4*f*r*y - 3*f*r - f*y - 2*r*y + 2*y wrt f?\nAnswer: 24*f**2*r*y - 22092*f**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 - 47 = u + x, -2*x = 4*u + 342. Let d = u - -89. Differentiate 10 - 3*o**4 + 50 + 2*o**d - 21 with respect to o.\nAnswer: -12*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 1 - 7 = 0. Let d = 11 + -9. Is (v\/4 + d)*12 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/235*13709148\/8028?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 2 = 27. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 844*z**3 + 473 + 101*z**3 + 5001 - 601*z**3 + 1813*z**3 + 2*z wrt z.\nAnswer: 12942*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1901, 1899, 1897, 1895?\n\"Answer: -2*r + 1903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/28195404 and 115\/24.\nAnswer: 56390808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1927 a factor of 1116336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5046*n + 5046*n + 468*n**3.\nAnswer: 468*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -21787 + 0.08\nAnswer: -21786.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 162 + -159. Let f = -76 - -226\/3. What is the closest to f in 4\/7, 1, t?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2154 - -1a14?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 + -17. Suppose 2*q + 20 + 24 = -5*l, b*q - 4*l = -143. Let u(i) = i**2 + 26*i + 8. What is the tens digit of u(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 - 9 + 4*t)*(-4*t**2 - 2*t**2 + 5*t**2 - t**2 - 3*t**2 - t**2 + (45*t - 559 + 559)*(-4*t + 3*t - t)) in the form y*t**3 + d*t**2 + j + o*t and give y.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1657*(2 + 8 + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 - 969\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3330802823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/4)\/(2\/(-4)). Suppose 5*f + x*r - 28 = 10, -2*r - 26 = -4*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -2*x - 6. Let n be (265\/30 - (-4)\/x)*2. Suppose -18*c - 36 = -n*c. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17205655?\nAnswer: 5, 53, 64927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/(-8) + 2 + 4\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -13*x**2 - 14*x - 29. Let a(t) = 3*t**2 + 3*t + 7. Let d(s) = 9*a(s) + 2*l(s). Let p be d(0). Calculate the highest common factor of 15 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 21\/13  (b) 710  (c) -0.1  (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 295375.3 hours in seconds?\nAnswer: 1063351080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -3*t**3 + 7*t**2 - 6*t + 8. Let z be u(3). Does 13 divide 3 + (-385)\/(-22)*z\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -16*r - 4. Let f(i) = 48*i + 12. What is 3*f(j) + 8*l(j)?\nAnswer: 16*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 2*f - 5*f. Let s be (37 + -1)\/((-6 - -2) + 6). Let k be f\/s - (-4)\/6. Calculate the highest common factor of 11 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 4*d = 82, d + 2 = -0*d. Let x = q - -134\/3. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 25 + -2012035?\nAnswer: -2012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.1, 4, -0.11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34382788.\nAnswer: 2, 11, 781427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((30\/(-125))\/(2\/40))\/((-808)\/3030)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5403918.\nAnswer: 2, 3, 13, 29, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*225\nAnswer: -112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 50\/4899 and 67\/475629.\nAnswer: 10939467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 112*o + 122*o - 240*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11742 (base 9) to base 10.\nAnswer: 7895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*n + 44. Let m be ((-2)\/(-8))\/((-62)\/20). Let r = m - -159\/434. Which is the closest to r?  (a) 1  (b) -3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 919 + 1264. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-173)\/(-1557))\/(3\/846))\/((-2)\/(-3)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -718 + 713. Which is the fourth smallest value?  (a) u  (b) 3\/2  (c) 9  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-144)\/21*((-22)\/165*10 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 0*n**2 - 16*n**2 - n**2 - 6*n**2. Let g(s) = -7*s. What is g(f(b))?\nAnswer: 161*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 2813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*a**3 - 55*a**3 - 52*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10635 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14640 + 14639.9999115. Round p to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2 = 0, -19*g + 22*g + 5*o = 13244. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -2*j - 7, -6 + 2 = p + j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -2780*k - 4*a + 5563, 3*a + 195 = k + 202 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 69*s - 73*s + 8. Factor n**4 + 4*n - 4*n**4 - 2*n**2 + s*n**4 + 3 - 5*n**3 + n**3.\nAnswer: -(n - 1)*(n + 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -7 + 6*k**2 - 2*k**3 + k**3 - 6*k**2 + 8*k**2 - 6*k. Let n be r(6). Let h = -15 + n. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3501 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 823474 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: What is the ten thousands digit of 12804072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 - -39. Suppose 173*x = -179*x + 315*x + 2146. Calculate the remainder when x is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = -3*x + 2, 5*g - 9*g = x + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 + 5*b**2 + 5*b + 8. Let l be v(6). Suppose y - 4*z = -4, -3*y + l*z + 10 + 18 = 0. Let i = -13 + y. Let r(f) = -f - 2. Give r(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/4 or -538556?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -v - 2*d - 2, -10*d = 2*v - 5*d + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 5, -3, -13, 0 in ascending order.\nAnswer: -13, -3, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2872\/7091 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 483 - 266. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -835632 divided by 9?\nAnswer: -92848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s**2 - 2*s**4 + 10*s**3 - 8*s**3 - 8*s + 8 - 8 to the form i*s**2 + h*s + v*s**3 + g*s**4 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of -2*l**7\/21 - 2*l**6\/15 + l**5\/5 + l**4\/3 - 3*l. Factor k(d).\nAnswer: -4*d**2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 36 = 2*i, 9*y + 4*i - 8 = 8*y. Suppose -24*z + 3472 = -y*z. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -180*a. Let i be n(-1). Suppose i = 8*u - 84. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -428, -9, -2 in ascending order.\nAnswer: -428, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**2*b**5 + 140*a**2*b - 3*a*b**5 wrt b?\nAnswer: -20*a**2*b**3 - 60*a*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*p**2 - 13*p**2 - 23*p**2 + 6*p**2.\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 - -23. Let b(v) = 6*v + 7. Calculate the remainder when b(d) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**5 - a**4 + 3*a**3 + a**2 - 2*a - 2. Let v(o) = 3*o**5 + o**4 - 6*o**3 - 3*o**2 + 5*o + 5. Let f(z) = 15*q(z) + 6*v(z). What is l in f(l) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - -3709331071.\nAnswer: 3709331050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1951 - 441 = 23*p - 1595. Solve -122*a = -p*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 185*n + 10. Let y(i) = 2 + 0 + 29*i + 8*i. Let a(k) = 2*t(k) - 11*y(k). Is a(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -2*k, 2*k = -3*t + k. Suppose -3*v + 4*v + 292 = t. Let f = v - -707. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 4 - ((-15 - -17) + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1  (b) 0.5  (c) 0  (d) -0.2  (e) 19\/7  (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15825, -63302, -142425, -253194, -395609, -569670, -775377?\nAnswer: -1012730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of -9*c**5\/40 + 51*c**4\/32 + c**3 - 9*c**2\/4 - 72. Solve s(o) = 0 for o.\nAnswer: -1, 0, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 3 s when four letters picked without replacement from {w: 2, s: 4, v: 1, b: 1, l: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 195538725?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*a = 151*a - 88 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 78 and 1131.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - -9 - (13 - -2) - 30.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-3) + (-407)\/(-33). Suppose 4*c - h = -5. Let s(m) = -7*m - 2*m - c*m - 5*m. Let w(o) = 2*o. Give w(s(u)).\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 720, 765, 810?\nAnswer: 855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 158472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 21416 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 71 in -0.079, 0.02, 0, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-2) + (-12)\/(-40). Suppose -z + 0*b - 5*b + 3 = 0, 2*b - 10 = 4*z. What is the third biggest value in u, 1\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 278 (base 13) to base 16.\nAnswer: 1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 20429, 79533, 178041, 315953, 493269, 709989, 966113?\n\"Answer: 19702*w**2 - 2*w + 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82535.22 + 516.\nAnswer: -82019.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -146 + 144. What is the units digit of (6634 + y)\/8 - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 879 is divided by 87?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + ((-16047)\/52 - -1). Let o = -1163\/4 - i. Let l = o - 14. Which is the closest to -0.06?  (a) 0.4  (b) l  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6942762, -13885525, -20828288, -27771051, -34713814, -41656577?\nAnswer: -48599340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1157 is divided by 565.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 398*n - 402*n + 1884. Let u = n + -461. What is the closest to -0.2 in -1\/4, u, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9e5e5 (base 15) to base 5.\nAnswer: -112113330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 2*p = -2*p - 5, -3 = -3*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14610 and 160710.\nAnswer: 160710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5, 0, 7, 16?\n\"Answer: s**2 + 2*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14246*w - 14228*w + 364 + 32 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5141 is divided by 915.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 5, r: 1, s: 3, i: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(121)\/(sqrt(66)\/sqrt(6)) + 4 + -2 + (sqrt(11) + 0 - sqrt(11))*-3.\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2 - (-133)\/49 - 26*282\/1680 and (-39)\/(-20) + 1\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/4*-2 + 2. Let d(a) = -3*a**2 + 51*a - 173. Let f be d(12). Suppose 2*t - 4 = -0*t. Sort f, t, b.\nAnswer: t, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 14. Let r(q) = q**2 - 9*q + 2. Let w be r(9). Let h be 15\/(-27)*-3 - w. Is h at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = t - 5*r + 102, 7*t - 3*r + 2001 - 1927 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 38 times 813\nAnswer: 30894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/9*(42\/(-3) + 5). What is i in 1 + k*i**2 - 5\/2*i - 1\/2*i**3 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-3) + (-2)\/6. Let y(z) be the second derivative of z**3\/2 + z**2 - 6*z. Let a be y(x). Solve 3*f = 2*o + 19, -a*f = -3*f - 5*o - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -304 (base 10) to base 14\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -768087 (base 9) in base 10?\nAnswer: -458620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.494932  (b) -2\/7  (c) -0.1  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**13*y\/(((y\/(y*y**16\/y))\/y)\/y)*y\/y**(-8)*y*(y\/(y*y**(-6\/13)*y))\/y*y)**(-47) assuming y is positive.\nAnswer: y**(-25333\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -8406906125 from -0.3.\nAnswer: 8406906124.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35 by 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 168 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/(-32) + 63\/(-66).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 1)*(6*f - 4*f - 3*f)*(4 - 2 - 3) as v*f + n and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 98 and 126?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (1 + -3*6*((sqrt(288) + sqrt(288) + 0 - sqrt(288)) + -3))**2.\nAnswer: -23760*sqrt(2) + 96335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23 + -34. Let v = q - -61. Factor 2*y**4 + 124*y + 4 + 6*y**3 - v - 132*y.\nAnswer: 2*y*(y - 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -151\/11107?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4989, -9977, -14965?\n\"Answer: -4988*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36844 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(208) + sqrt(208) + -5 + sqrt(208) + sqrt(208))*2 + sqrt(208) + (sqrt(208) + 5 - sqrt(208)) + 3)**2.\nAnswer: -144*sqrt(13) + 16852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -18 + 15 - (7 - (7 - 14))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 89 + -62. Let f(g) = -t*g - 11 - 3 + 24*g. What is the units digit of f(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/4)\/(11\/((-528)\/9))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 13, -4 in decreasing order.\nAnswer: 13, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (267 - 267 + 30*q**2)*(3 - q - 3 + (-3 + 0 + 4)*(q + q - 5*q)).\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 47\/4 of a decade?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 338 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 888760705?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 4*x**2 + x + 2. Let h be a(-1). Suppose 82 = h*k - 188. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 x(p) be the second derivative of -7*p**4\/12 - p**3\/6 - p. Let t be (-8)\/4 - (2 - 3). What is x(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3*-2 - (7 - 10). Does 24 divide ((-432)\/28)\/(l*4\/112)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 196\/(-56)*124\/(-7) is divided by ((-9)\/(-2))\/(2\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - 2) + 0 + 2. Suppose 5*t + q*t = 20. Let p(l) = -t*l + l + 2*l. Let s(y) = 2*y**2. Calculate s(p(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.23 + 0.1. Let a = w + 0.1300007. What is a rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/1837408 and 35\/219392.\nAnswer: 14699264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -882 - 860?\nAnswer: -1742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 3\/7  (c) -5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -18 - 3. Suppose a*j - 3*j + 20 = 0. Let n = 7 + j. Solve 0 = -5*y - 3*m - 2, m + 0 = y + n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 61 + -59. Suppose -4*s = 7*d - q*d - 3150, 2*s = 0. Suppose -4*o - n = -0*o - 622, -4*o - 5*n + d = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 601254, 601499, 601734, 601953, 602150, 602319, 602454, 602549?\n\"Answer: -f**3 + f**2 + 249*f + 601005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.706 + 1.506. Sort s, 2\/9, 92, 2 in ascending order.\nAnswer: s, 2\/9, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 149 * 0.4\nAnswer: 59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -58612, -72849, -87086, -101323?\n\"Answer: -14237*q - 44375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + k - 12, 0 = a + 52*k - 51*k - 7. Solve 21*y - 16*y - d - 25 = 0, 25 = a*y + 4*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 70\/15419121 and -34\/5471301.\nAnswer: 169610331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 5 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2086716138 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 136 divide 3604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 + 12*v + 27. Let r be a(-3). Let u(t) = t + 5. Let j be u(-4). Let b be (-2)\/(j\/(-6)*-3). Put 2, b, r in decreasing order.\nAnswer: 2, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -164296.069696 - -0.069696. Let v = t - -164513.409. Let x = v + -217. What is x rounded to 2 decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1 + sqrt(13)) + sqrt(13) - (-1*sqrt(13) + 3)**2.\nAnswer: -23 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 4*l. Let z(j) be the second derivative of j**3\/3 - 5*j. Give z(p(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i = -4*i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -285  (b) -311\/2  (c) 1\/382\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -126*i - 3. Let o(h) = 124*h + 2. What is -4*l(d) - 5*o(d)?\nAnswer: -116*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*o - 6 = -22*o. Suppose 0 = 6*s - 24 + o. What is the lowest common multiple of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118*q - 28*q - 21*q - 34*q.\nAnswer: 35*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33021\/4 - 8256. Sort -2\/7, p, -0.2, -23 in ascending order.\nAnswer: -23, p, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(120) + -2*1*sqrt(120) + sqrt(120) + (sqrt(120) - sqrt(120)*1)*-6))\/(4*(sqrt(72)\/(sqrt(48)\/sqrt(4)) + sqrt(24)\/sqrt(4)*3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -109, -117, -127, -139?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0.1, 0.5, 0.015037, -5.\nAnswer: -5, -0.5, 0.015037, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + -12 + 41 + -20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*m + m. Suppose -2*n = -4*h - 20, -m*h = n + 3 - 5. Let w(l) = 3*l. Is w(n) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.085662685 - 8807.\nAnswer: -8807.085662685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 173430 and 6150?\nAnswer: 867150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 186908.\nAnswer: 2, 46727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wqewajp. What is prob of sequence pjw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 30\/(-25)*10\/(-4). Let f be (22\/(-6))\/((-1)\/3). Suppose -f = -v*a + 2*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 486432 = 3*g - 69770, 0 = -3*g - 5*l + 556208. Is g 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 2819016?\nAnswer: 2, 3, 31, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + (1 - 11 - -21) - -11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 - 6*u + 10. Let f be v(-7). Suppose 0 = -4*g + f*a - 2, 2*a = 3*g - a + 3. Let c = 8 - g. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 696 - 4291. Let d = v + -36. Let a = d + 5158. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -2*x + 13*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -11*h**2. Let i(o) = 2*o**2 - 3*o. What is r(i(n))?\nAnswer: -44*n**4 + 132*n**3 - 99*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -79\/1256 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174 = -x - 235. Let i = x - -2170. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22275521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 97\/194*(-1)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 + 5*x**2 + 6*x + 49. Determine c(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.014 + 43.414. What is n rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1021022222 (base 3) to base 16.\nAnswer: -61c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -105 or -112?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1087 = -5*j + 53. Let f = j + -682\/3. Factor 0 + f*n**4 + 1\/3*n**3 + 1\/3*n**5 + 0*n + 0*n**2.\nAnswer: n**3*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f\/(f\/f**10)*f**6 assuming f is positive.\nAnswer: f**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7.3 in -5\/3, 15\/2177, 0.5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 3\/5*b**3 + b - 3\/10*b**2 - 1\/10*b**4.\nAnswer: -b*(b - 1)*(b + 2)*(b + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.02  (b) -893  (c) 1  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -64 + 6*k**4 - 26*k - 23*k - 204 + 21*k - 38 with respect to k.\nAnswer: 24*k**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2173 - -2178. Solve -n - 15 = -s*y - 17, -12 = 3*n + 3*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3903*w + 2168*w + 4533*w + 3179*w.\nAnswer: 13783*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*o**2 + 27*o**2 + 24*o**2 + 21*o**2 - o**3 + 58*o.\nAnswer: -o**3 + 2*o**2 + 58*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 61534, 61533, 61532, 61531, 61530, 61529?\n\"Answer: -h + 61535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1041 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29905248 divided by -7476312.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 118, 268, 478?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -i*j**3*q + 119*i*j**3 - 6*i*j**2*q - 59*i*j + 3*j**3*q - 32*j**3 - 719*q wrt j?\nAnswer: -6*i*q + 714*i + 18*q - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -9 + 0*m + 2 - 3*m + 4*m**2 - 3*m**3. Let g(p) = 5*p**3 - 8*p**2 + 6*p + 13. Let l(v) = -4*g(v) - 7*x(v). Is l(-2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 - 10*k**2 + 12*k + 15. Let i be s(-11). Suppose -5*z + 3*b + 59 = 0, -1 - 33 = -2*z - i*b. Let h = -8 + z. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -323*o - 19635 + 4777 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 971753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/3*-1*2\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {c: 1, r: 4, g: 9, k: 2, t: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u**(2\/11))\/u)**(-19) assuming u is positive.\nAnswer: u**(-247\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*x**4\/3 - 7796*x**3\/3 - 30542*x**2 + 107480*x\/3 - 8008\/3 = 0 for x.\nAnswer: -143, -14, 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -5*q - 27, 0 = 3*q - q + 10. Let j(s) = 13*s - 2 - 7*s + s**p - 10*s. Is j(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 - 2\/4 - 2. Let w = 51390 - 51389. Which is the closest to 2\/5?  (a) -3  (b) w  (c) z  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -2403?\nAnswer: 4\/2403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -4, 11 in descending order.\nAnswer: 11, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*11034\/(-648) - 17. Let y(k) be the third derivative of 28*k**2 + w*k**4 - 1\/3*k**3 + 0*k - 1\/180*k**6 + 1\/30*k**5 + 0. Let y(g) = 0. What is g?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 149 or 148?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 1589*u + 3194. Let d be v(-2). Solve q = r - 7, -4*r = -17*q + 19*q - d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -18\/97, 129 in ascending order.\nAnswer: -5, -18\/97, 4, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-seven quarters of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, h: 2, c: 1, e: 1}. Give prob of sequence yche.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2 - 7200*z + 12960000.\nAnswer: (z - 3600)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 + -17. Suppose -3*g - 191988 = h*m, -4*m + 8 = -8. Round g to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35 + -20. Let w be -2 + 48 + 0\/(-3). Let z = w - 24. Solve -3*t = j + z - 4, -3*t = v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 999, 17, -969, -1959, -2953, -3951, -4953?\nAnswer: -5959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 13*l - 7. Let i be z(4). Let k be (3\/i + (-2)\/12)*4. Let p = -25.9 - -26. Which is the third biggest value?  (a) p  (b) 0.4  (c) 3  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**8*r)\/r*r*r*r\/((r\/r**3)\/r*r))**26\/((r**(1\/4)\/r**1)\/(r*r\/(r**(-1\/2)*r)*r*r*r**(5\/2))) assuming r is positive.\nAnswer: r**(1379\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 51 + -50.96. What is the second biggest value in u, -5, 0.05?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in -1\/6, -23, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6254341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*u - 1. Let j be (-8)\/6*-12*u\/24. Put 10, j, 7 in descending order.\nAnswer: 10, 7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 7*b = -124. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2956825 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13 - 12) + 0 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -106 (base 12) in base 9?\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -26 + 180\/7. Let f = 30 + -1621\/54. What is the smallest value in 5, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -11871*y. Let m(w) = 2*w**2. Determine d(m(b)).\nAnswer: -23742*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 32649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 6:51 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78839.44 centuries to years.\nAnswer: 7883944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**5\/j*j*j**(-2\/17))\/(j\/j**(-3\/2))**(2\/67) assuming j is positive.\nAnswer: j**(5476\/1139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 94627261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the third derivative of z**6\/40 + 3*z**5\/4 + 63*z**4\/8 + 49*z**3\/2 - 3*z**2 + 11. Suppose c(f) = 0. What is f?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.15 and 10?\nAnswer: 9.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 20 + 189)*(3*m + 0*m - 5*m).\nAnswer: -436*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -564764\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -23 - 10542?\nAnswer: -11005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1088) - (sqrt(1088) - -4*(sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 0)))))*-1)**2 - -6*(-4 + (sqrt(1088) + 0)**2))*-2.\nAnswer: -47824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*m = -112 - 58. Calculate the least common multiple of 11 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1310427 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -2*k**4 + 8*k**3 + 38*k**2 - 212*k + 240 = 0.\nAnswer: -5, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153*r = -108*r - 90. Let l(f) = -12*f + 2. Determine l(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2306*p + 58055 - 215507 - 56714 = 41800 for p.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in fifteen quarters of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1356730421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.19 - 0.19. Let p = w - -0.44. Sort 2\/7, -2, p.\nAnswer: -2, p, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27560 by -265.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, 6\/13, -3\/47, 3\/2, -2\/5?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 10:40 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 3676.4 * -120\nAnswer: -441168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19174*p**4 - 2650*p - 19174*p**4 - 2882*p**5 wrt p.\nAnswer: -57640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -105*p - 91. What is the hundreds digit of n(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2. Let t be o(1). Let v = -2882 + 2875. Which is the smallest value?  (a) 1\/9  (b) -1  (c) v  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 2*s = 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 11*s**2 - 16*s - 43. Calculate y(-4).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*k = 178*k + 42 - 270 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -301112221 (base 4) to base 2\nAnswer: -110001010110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + 10*t**2 + 4*t - 6. What is the remainder when f(-9) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 224401 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1\/2  (b) 0.3  (c) 0  (d) -0.113  (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (152 - 5 - 138 - (1 + 1 + 19)) + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -317b (base 16) to base 6\nAnswer: -134351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 84810425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*t + 3 = -41. Solve 20*m = 16*m - 4*d + 12, 3*m + 5 = t*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {h: 8, d: 2, k: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 6, -12 - 3 = p + 4*y. Let a(g) = -46*g + 15. Is a(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1102220 + 22021?\nAnswer: 1202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1\/4  (b) 1  (c) 1\/2  (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 72257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 430 = -5*g, -2*j - 4*g + 184 = g. Let n = -32 + j. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 27\/(-16)*6592\/(-48). Let d = y + -232. Which is the third smallest value?  (a) d  (b) 2\/7  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2\/2 + 1014933*o\/2 - 62441073.\nAnswer: 3*(o - 123)*(o + 338434)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g = 62 - 212. Let j = g - -22. Solve 13 = -5*b - j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 5*s - 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 72595\/18384 - 13\/1149. Find the common denominator of -1\/6 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 7535*u + 15098*u - 7526*u.\nAnswer: 37*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*d**4 + 0*d**4 - 3*d**4 + (-10*d + 10*d + 10*d)*(-2*d**3 + 0*d**3 + 0*d**3).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(637) + -2)**2 + sqrt(637) - sqrt(637))*-3 + (sqrt(104)\/(sqrt(288)*-2)*3)**2.\nAnswer: -30723\/16 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 - 13. Let x = s - 59. Let g be -3 - (x\/20 - 6\/(-10)). Put g, 2, -11 in decreasing order.\nAnswer: 2, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/11750 and -69\/4700.\nAnswer: 23500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 2 p, and 1 o when four letters picked without replacement from gpdpogogggjo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -2.07. Let d = -0.33 + h. Let n be 2\/(-4*1\/(-2)). What is the nearest to n in d, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 4*i + 1. Let z be g(2). Calculate the remainder when 45 is divided by 3\/z + (-282)\/(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-22)*6)\/(((-115668)\/17017)\/486).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-5)\/(-2) + (-110)\/132\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-4)\/18 + (-1258)\/(-153)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l - 17. Let a(d) = d - 6. Let w(n) = -11*a(n) + 4*b(n). Is w(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11100101010 (base 2) to base 10.\nAnswer: -1834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 417 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand v**2 - 2*v**3 + 2*v**3 - v**3 + (-32*v**2 + 16*v**2 - 11*v**2)*(-2*v - 3*v + 6*v).\nAnswer: -28*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*a - 130*a**2 + 33*a + 2*a**2 - 3 - 66*a in the form i + m*a**2 + w*a and give m.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -31*u**3 - 3*u**2 + 13*u + 26. Let m be y(-2). Suppose 0 = 3*c - 6, 0 = -5*g + 4*c + 50 + 1667. Let s = g - m. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvnxnxxnvxxvvxxxvxnx. What is prob of picking 1 v and 1 n?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 728735 and 658.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from 118.92618841.\nAnswer: 118.42618841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-60))\/((-1172)\/(-167010))?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 899054705 to the nearest integer?\nAnswer: 29984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pvhfvfvvfvbov. What is prob of sequence vovp?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of 5*l**8\/336 + l**5\/20 + 6*l**2. Find the third derivative of i(s) wrt s.\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*i + 13*i = -138. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 99 - 89. Suppose -9*g - 10 = -a*g. Suppose g = -v + 17. What is the remainder when 13 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/u**(-4\/3)))\/u**(-5))**2*((u*u**0)\/(u\/u**6))\/(u**(-6\/5)*u**6\/u) assuming u is positive.\nAnswer: u**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 181 a factor of 24540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-128)\/840 + (-356)\/(-1246)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19052730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 16*v. Let k(t) be the third derivative of -t**4\/24 - 17*t**2. Give k(w(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 408*o - 30576 = -336*o - 40*o for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2922330698 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 1024, -3, -5\/6.\nAnswer: -19, -3, -5\/6, 1024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*g**4 + 1001 + 2*g**2 + 2*g**4 - 3*g**4 - 1003 - g as x*g**2 + b + r*g**3 + k*g + q*g**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-10\/7)*(a*a*a**(-8\/3)*a)\/a*a*a**26\/a*a*a*a**26\/a)**(-2\/21) assuming a is positive.\nAnswer: a**(-2138\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9)\/(-2)*2 + -5 - -2045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6969626, 27878499, 62726620, 111513989, 174240606, 250906471?\nAnswer: 341511584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 - 55. Put -0.2, 2, f, 0.1 in descending order.\nAnswer: 2, 0.1, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-8)*2*12. Let j = 12 + u. Solve -3 = -3*t - j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 - 8*g + 5. Let y be p(-8). Let w be 5\/(10\/(-108)) - (35 + -36). Let n = w + 76. Solve y*b + n = -2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9590 to the nearest 100.\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 11:10 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q - 3 + 0*q + 1)*(-26 - 16 - 39).\nAnswer: 162*q + 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 159784 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 63545240 to the nearest 100000.\nAnswer: 63500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48825510?\nAnswer: 2, 3, 5, 1009, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 1. Let b = 11 + m. Suppose -b*g = 6 - 26. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 819 - 813. Solve w*s - 40 = -46 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 2*p = 17, -3651*p - 36 = -3647*p. Solve 11*y = -2*z + 10*y + k, 5*z - 4*y + 30 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 9:59 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 divided by 534804?\nAnswer: -11\/267402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of -q**6\/60 - q**4\/12 + 2*q**3\/3 - 15*q**2. What is the tens digit of b(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 33, 13, -45, -4 in ascending order.\nAnswer: -45, -6, -4, 13, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6731, -6725, -6715, -6701, -6683?\nAnswer: -6661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 96 and 1917776.\nAnswer: 11506656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*10\/(-4)*680\/10965*43.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -238023.373 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 153 + -123. Suppose -41*h + 44*h = -v. Is -8 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, -8522.\nAnswer: -8522, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(76)\/((-1*sqrt(196) - sqrt(196)) + sqrt(196)).\nAnswer: 2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2182 > 2183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 + 4*l - 1. Let m be p(3). Let h(s) = -s + 4. Let i be h(4). Suppose 0 = 2*g - w - 5, 5*g - w - 17 + i = 0. Solve g*k = m + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 14 - 7 + 7*g - 4 + 7*g**3 - g to the form j*g + d + m*g**2 + h*g**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h + 19. Let f(b) = -5*b + 0*b + 9 + 0*b + 4*b. Let i(n) = 2*a(n) - 5*f(n). What is the derivative of i(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 169.55, -0.02, 3\/5, 2, -1, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -354045267*t**2*u**6 + 47*t**2*u**2 + 16*t**2 - 358*t*u - 7*u**2 wrt u?\nAnswer: -42485432040*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5602240 divided by 45920\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + r = 21, -6*k + k = -4*r + 42. Let l = 0 + k. Let w(i) = -i**3 - 6*i**2 - 10*i - 7. What is the remainder when w(l) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-66 - 134 + 53)*(4 + 149*y**2 - 3 - 4 + 3).\nAnswer: -21903*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -t - 2*f, -12*t + 8*t + 28 = 2*f. Which is the nearest to 0.1?  (a) t  (b) -4  (c) 0.4  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(363) + -3)**2.\nAnswer: -66*sqrt(3) + 373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.894072kg to nanograms.\nAnswer: 8894072000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 108960632 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.3426 - 0.4126. Which is the closest to -1\/2?  (a) -6  (b) -5  (c) z  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 - 5. Suppose -3*w - i = -2. Let j = -3 - w. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kpkp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 5*n + 29. Let q be o(-5). Suppose -77 = -2*a - 4*l - 15, 2*l + 84 = q*a. What is the greatest common divisor of a and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15 - 6 - -2) + 8 + (33 - -1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of i**4\/24 - i**2. Let j(y) be the second derivative of -y**3\/3 + 19*y. Calculate d(j(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 PM and 12:15 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is fourteeen ninths of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence st when two letters picked without replacement from tftstts?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24, -59, -100, -147, -200?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of 0*p**7 + 0*p**3 + 0*p**2 + 0 + 1\/6*p**4 + p + 0*p**5 + 0*p**6 - 1\/56*p**8. Find the third derivative of u(a) wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 184368?\nAnswer: 2, 3, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14872\/7 or -2124?\nAnswer: -14872\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 67562817 to the power of 1\/2, to the nearest integer?\nAnswer: 8220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -188*m*z**2 + 11*m wrt z?\nAnswer: -376*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -72.56 and 0.01.\nAnswer: -72.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4501.6 and -4.3.\nAnswer: -19356.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -16) + (-267054)\/18940.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 261116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 16*k + 6634. What is the thousands digit of f(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**2 + 0*i + 0*i)*(-24*i + 27*i - 32*i**2 - 47*i**2 - 2*i + 2*i - i**2 + (-i**2 - 2*i**2 + 5*i**2)*(2 - 4 + 0)).\nAnswer: 84*i**4 - 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from kknnkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.65116ng to tonnes.\nAnswer: 0.00000000000000565116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -2*d + 38. Suppose w - 23 = g + 3, 2*w + 2*g = 48. Calculate the highest common divisor of w and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/2*(-1845747800)\/663. What is f rounded to the nearest 10000?\nAnswer: 4180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3021 or -3025?\nAnswer: -3021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 47*s - 524. Determine r(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 11:10 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -21203, -5, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 101886*j + 1426397. What is b(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + 4*b - 3*b)*(8 + 0 - 5)*(-4 + 3 + 4).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -3*j**2 + 259*j + 711. What is the remainder when g(55) is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 128 = 4*p, -p = 3*p - 2*u - 112. What is the second derivative of -5*y + 36*y + p*y**2 - 28*y + 8 wrt y?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 divided by -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 885348 (base 11) to base 3\nAnswer: 2122202201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, 85, 242, 551, 1066, 1841, 2930?\nAnswer: 4387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/12*1300432\/(-28686)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.235  (b) 4  (c) 178\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/14)*(t*t*t**(16\/5)\/t*t)\/t)\/(t\/(t\/t**(6\/7))*t\/(t\/(t\/(t\/(t\/t**(1\/6)))*t))) assuming t is positive.\nAnswer: t**(151\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 divided by 22?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 + 7*v + 8. Let h be f(-6). Let z(p) = -p - 2. Let y be z(-6). Let q = 477 - 473. Solve -q*g = -h*g + y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 108097072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -1308055.42 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n. Let s(i) = -2*i. Let z(k) = 3*j(k) - s(k). Let b(x) = -2*x + 3. Let q(u) = 3*u - 2. Let m(t) = -2*b(t) - 3*q(t). Determine z(m(v)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*p = 67*p + 24. Is 16404\/13 - 1 - p\/(-78) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + 5. Let q = z + 7. Suppose 5*v - 57 = -3*t, 0 = 3*t - 7*t - v + 93. What is the lowest common multiple of t and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36 + -162. Let i = -197.9999568 - z. What is i rounded to 6 decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - 23 - -12 - (-4 + 4 + -3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(-4)\/(8\/(-2)). Let d = 1 + q. Let v(o) = o**2 + o + 5. What is v(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 721098 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -12.9, 8, -2\/5?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + 0. Let x(n) = -n + 18. Let h be x(14). Factor -h - 3*s - s**t + 0*s**2 - s.\nAnswer: -(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (((-55)\/1419)\/((-10)\/(-12)))\/((-1)\/(-2)). Which is the closest to h?  (a) 0  (b) 0.1  (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6117 (base 10) in base 9?\nAnswer: -8346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10)\/(-45) - (-2)\/(-9). Let k(s) = s + 4. Let r be k(l). Solve i = 2*u - r*u - 7, -5*u - 20 = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i + 26. Does 2 divide j(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 1\/9, -3, 35?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3474, -3469, -3464, -3459?\n\"Answer: 5*g - 3479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 105?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 2 + 2*j**2 + 0*j**2 + 7*j - 5*j - 6*j = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 10*w**2 - 11*w - 11. Suppose 52*c = 42*c - 110. Let z(g) = -2*g**2 + 2*g + 2. Calculate c*z(a) - 2*q(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 214 + 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21 - 2) + (-35 - -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*k - 23*k - 19*k to the form f + p*k and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*a + 2*a**4 - 7*a + 10*a**3 - 3*a**3 to i*a**3 + c*a**4 + r*a + o + x*a**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 385358 and 19969?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 + 28. Let l be 9\/6*24\/f. Let n(y) = -y**2 - 21*y + 21. Let g be n(-22). Are g and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 AM and 11:24 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = m + 16*h - 17*h - 3*h, 418 = 28*m - h for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4578 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*i = 3*i + 84 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 420, 846, 1272, 1698, 2124?\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 0 = -3*m - 4*j, 3*j - 12 = 0. Let u = m + 7. Suppose -1 - 1 = -4*h + u*r, 0 = -h - 2*r + 3. Which is smaller: h or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 - 815*r + 1610.\nAnswer: 5*(r - 161)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/(22\/((-65846)\/(-3))). What is the highest common divisor of m and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*v = -19424 + 19839. Suppose 5*d - 2*u = 7, d + 6*u - 23 = u. Solve -d*x = -2*t + v*t - 6, 26 = -5*x + 4*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + 3*u + u)*(-72*u - 3955 + 3956 + 5*u).\nAnswer: -134*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (-3 - (-6 + 2 + 0 - 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24*c + 20*c**5 + 298 - 14*c**5 - 298 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1028 is divided by 129.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 115 - 111. Find the first derivative of -69*m + 441 + n*m - 523 wrt m.\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8513, -17064, -25615, -34166, -42717, -51268?\nAnswer: -59819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 327404 and 44646.\nAnswer: 982212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1))**20)**(2\/119)*(((v**(2\/17)\/v)\/v*v)\/v*v**(-2\/5))\/(v*(((v**(2\/7)*v)\/v)\/v*v)\/v*v)**(3\/47) assuming v is positive.\nAnswer: v**(-75521\/27965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/2)*o)**(-22)*o**(-2\/17)*(o**(-3\/5)*o)\/o)**(-11) assuming o is positive.\nAnswer: o**(10956\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -38.64 + 38. Let z = k - -0.04. Which is the nearest to 0?  (a) -3  (b) z  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 6*t**2 + t. Let o be z(-1). Suppose o*w = 2*w. Is 1 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 97867169?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + (1\/3)\/((-17)\/(-3162)). Let y = -61 + w. Solve -y*c - 16 = -s, 3*s = -c + 2*s - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -2, -11.\nAnswer: -11, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = 22*x - 122 + 192, -2*k - 5*x + 7*x + 28 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.90143 - -1.70214. Let o = 0 + 3.2. Let p = q + o. What is p rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of 0 + n**3 - 5*n**2 + 0*n + 3\/8*n**4 + 1\/60*n**5. List the prime factors of d(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*f + 6 = -57*f. Let s be (6\/(-18))\/((-2)\/f). Calculate the remainder when 15 is divided by (0 - s)*(-18)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide -8*(-2)\/24*(4291\/2 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2325680.\nAnswer: 2, 5, 7, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 1:49 PM?\nAnswer: 297","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/15 - (31 - 24)*(4\/3)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 31 + 140332?\nAnswer: 140413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2244530896?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 128*l**2 + 123548*l + 198513532 with respect to l.\nAnswer: 256*l + 123548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -10*t**3 - 3*t**2 + t + 4. What is d(2)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)*1*4)\/(sqrt(40)\/sqrt(5)*1) + 0 + sqrt(833) + sqrt(833) + -5*sqrt(1088).\nAnswer: -22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3683, -3651, -3617, -3587, -3567, -3563, -3581, -3627?\nAnswer: -3707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.3 - 0.3. Let j = 393 + -396. What is the closest to i in -2\/17, j, -0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/108 and (2 + ((-84)\/81 - 1))*-68.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of t**6\/40 - 3*t**5\/10 + t**4 - 8*t. Determine b so that r(b) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-24)\/10)\/(98\/210) and 62\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 PM and 1:40 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2 + (-19)\/(-2))*(-58 + 70) is divided by -9 - (-49 - (6 + -9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16.55 + -14.3. Let y = n + -4.8. Round y to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 86 - -267?\nAnswer: 30d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f**2 + 33*f - 10. List the prime factors of i(-16).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -189 + 189 + 19*z as i*z + p and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {b: 4, n: 3, v: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*w = -8*w - 5025. Calculate the greatest common divisor of 15 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 1)*(-6*n**2 + 6*n**2 + n**2)*(-n**3 + 2*n - 2*n).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + 10*a - 4. Does 16 divide i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -933, -926, -919, -912?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 6*a - 7. Let x(g) = 7*g - 8. Let z(h) = 5*x(h) - 6*y(h). Determine z(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 802646 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 140\/(-112)*((-136)\/(-10))\/(8\/12)?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1437 + 2?\nAnswer: -1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9\/(-48)*(-192)\/216. Find w, given that -6 - 13\/6*w**2 - r*w**3 - 8*w = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 346*z - 1 + 2 - 3 - 1492*z.\nAnswer: -1146*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28 + 25.2. Let g = 3 + j. Let i = -1696\/7 - -242. Put -0.5, i, g in ascending order.\nAnswer: -0.5, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-3))\/(8\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of 13*h**7\/210 - 47*h**5\/60 + h**4\/24 - 67*h**2. Find the third derivative of k(v) wrt v.\nAnswer: 312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 415992608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3. Let j = -5 + 7. Let y(a) = -3*a**2 + 2*a**3 + 1 + j*a**2 + 4*a**3. Let z(w) = w**3 - w**2 - 2*w - 1. Let s be z(-1). What is s*y(r) - 4*k(r)?\nAnswer: -2*r**3 + r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 33126 divided by -2\nAnswer: -16563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -4*b - b - 1 + 3*b + 3*b**2 + b**3 - 3. Let n(l) = 2*l**2 + 6*l + 5 + l**3 - 1 - 10*l**2. Let z be n(7). Determine v(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/3 - 22\/(-30). Let t = 1\/15 - l. Let r be ((-2)\/22)\/(1\/2). Is r equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -1\/10  (b) -4  (c) -53  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -v - 23 + 3*v**3 - 27 - 2*v**2 + 0*v - 30 + 76 as z*v**2 + p + a*v + w*v**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 164 = -3*r, 0*j - 24 = -j - 5*r. Let b be (j\/8)\/(11\/44). Put 5, b, -3, -2 in descending order.\nAnswer: b, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2299831.8 months?\nAnswer: 191.65265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + 202021102021021?\nAnswer: 202021102021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of -d**7\/525 + d**6\/100 + 2*d**5\/75 - 13*d**2 - 17*d. Let k(x) be the first derivative of u(x). Factor k(o).\nAnswer: -2*o**2*(o - 4)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -359*r - 1888. What is the least common multiple of p(-6) and 3781?\nAnswer: 52934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4138839415 to the power of 1\/3, to the nearest integer?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) -21  (c) 1  (d) -13\/8  (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.77 + -2.23. Let d = 0.01 - -0.29. Which is the biggest value?  (a) 7  (b) z  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6 + 4)*(-3)\/(-15). Suppose -i*f = 10, -3*f + 265163504 - 58363519 = 4*a. Round a to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 218983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 78 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -211 (base 5) to base 8.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 9:54 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4\/3)\/(36\/27). What is the closest to b in -3\/2, 2\/23, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 36 + -45. Let n = -9 - x. Suppose n*a + 16 = 3*o - a, 12 = -o - 4*a. What is the greatest common factor of 44 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 AM and 9:25 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 434364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-29)\/(-2) + 12\/(-8). Let y = 5 - r. Which is the fourth smallest value?  (a) -0.1  (b) -1  (c) -0.2  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -15*k**2 - 70*k + 119. What is z(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**2 + 3*s + 3. Suppose 3 = -4*y + y. Let w(k) = k**2 - k. Let h(p) = y*z(p) + w(p). Suppose h(q) = 0. What is q?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.2  (b) 10\/11  (c) -20  (d) -1  (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 774*r - 2*r**2 - 579*r - 2*r**3 + r**3 as k + t*r**3 + s*r + j*r**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of -59*q**5\/60 + 23*q**2. Let d(u) = 0*u**2 + 3*u**2 - 4*u**2. Give d(z(c)).\nAnswer: -3481*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c**2. Let l(r) = -6*r + 1332. Let b(h) = h - 267. Let o(x) = 16*b(x) + 3*l(x). Calculate i(o(g)).\nAnswer: 8*g**2 + 2208*g + 152352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36*r**3 + 25500*r**2 - 1283200*r + 16768000.\nAnswer: -4*(r - 655)*(3*r - 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 59 + (-69 - 24 - -35)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -0*t - 93. Is t 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 4677015?\nAnswer: 3, 5, 7, 44543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 21\/3 + (0 - 2). Suppose 0 = -4*h - h + 45. Suppose -4*b + 2*d + d = h, 3*b - 5*d = -15. Solve 0 = -s*a - 5*y - 17 - 28, a + 5*y + 25 = b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 2*s**4\/3 - 214*s**3\/3 + 2308*s**2 - 64720*s\/3 + 176000\/3 = 0?\nAnswer: 5, 8, 44, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 - 7. Let z = 7 + 3. Calculate the remainder when z is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13)\/((-650)\/120))\/((-1)\/((-420)\/2128)).\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -184 + 193 + 375 = -32*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11974 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-3 - (-20)\/8). Suppose 587 = 5*b - 3*x, -8 = -z*x + 4*x. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13412 (base 8) in base 6?\nAnswer: -43150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*j**2 + 7*j**2 + 3*j**2)*(-j - 3*j + 0*j) + 3*j**3 - 2*j**3 + 0*j**3 + (-4*j**2 + 0*j**2 + 2*j**2)*(j - 3*j - 3*j).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2916*p**3 - 3*p**2 + 6*p. Let d be c(-6). Round d to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 256 at least 254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241430093?\nAnswer: 19, 12706847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 624  (b) 112  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2500\/(3 - (-2 + (-197403)\/(-39480))). What is v rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20\/87 + 118\/261. Suppose -4\/9*n**3 + 2\/9*n**4 + 4\/9*n + 0*n**2 - l = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2977*p**3 - 6 + 6 + 1208*p**3 - 4520*p**3.\nAnswer: -6289*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 + 3 - (-2856)\/168.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*x - 4918 = 8433. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 3*g. Let h(x) = 10*x - 11. Let k(m) = 19*m - 9. Let w(i) = 3*h(i) - 4*k(i). Give d(w(n)).\nAnswer: -138*n + 9","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 146072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from lllwqllllqllfwqqlll.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 + 0.1. Let h = 4.8 + -0.8. Are s and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) -3  (c) -0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-63)\/189)\/(((-95)\/(-2679))\/5)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -5 - 7) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/(-21))\/(5\/(-3)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -2\/7, -159\/7, 0.1758?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -593*v = -461*v + 1584 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30845 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 163.6266 to 1 decimal place.\nAnswer: 163.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - s - 1, -2*p - 3*s = -p - 5. Sort -2\/15, -1\/8, p, 5 in decreasing order.\nAnswer: 5, -1\/8, -2\/15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23 + 21 - 12*m**3 - 274*m - 2*m**2 - 2*m**4 + 12*m**3 - 42 to o*m + k*m**4 + v + w*m**2 + n*m**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 + 11*y - 22. Let l be c(-17). Let r be 19\/((-152)\/(-3)) - (-18)\/l. What is the second biggest value in r, -0.5, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2133123256 - -5?\nAnswer: -2133123251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 6.2, 0.17, -5, 2\/7, 1, -51?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3591 and 1890?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -0.4  (c) -690\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -323449.40000112 - -323449. Let r = 0.4 + v. What is r rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22 + -22. Let r = -0.4 - -0.2. Which is the closest to k?  (a) -2  (b) r  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/419104 and -97\/56.\nAnswer: 419104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 - 23*z + 5. Suppose f = -5*i, 0 = -3*f - 4*i + 23 - 67. Let m be x(f). Suppose 51 = 5*a - l - 33, m = 4*a - 3*l. Solve 5*b - 3 = a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 162201*u - 14008 wrt u.\nAnswer: 162201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (58 - (50 + -36)) + 13.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3587\/(-3740) + ((-162)\/120)\/(-27).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 540557 to the power of 1\/2, to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 95\/2526 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-7854)\/(-608) - 195\/15 and -41\/38?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 0*h + 5*d - 85, 2*d = -5*h + 70. What is the greatest common factor of h and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 86*u**2 - 11*u - 2. Let j(q) = 44*q**2 - 5*q - 1. What is -13*j(v) + 6*z(v)?\nAnswer: -56*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1 + (sqrt(405) - (-1*sqrt(405) + 2 + sqrt(405))**2).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65, -61, -47, -17, 35, 115, 229, 383?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.57?  (a) -0.5  (b) -2  (c) 0.3  (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as -4\/17435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197823 is divided by 104?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 10*q**2 + 677*q + 6148. What is z(-57)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 2*z**2 - 62*z + 396. Give a(38).\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 154\/(-4)*8\/(-14). Suppose 0 = -i - 0*i + n. Let o = i + -6. What is the remainder when 62 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of -o**4\/24 + 4*o**3\/3 + 5*o**2. Give p(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -5.96. Let f = t + -1.04. Let l(d) = 3*d - 3. Let o be l(2). What is the third biggest value in f, 1\/5, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11701359.\nAnswer: 3, 19, 41, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 5*r = -10*d + 85, d + 8 = 4*r. Find the common denominator of -7\/10 and (3\/2)\/(d\/(-7)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*p, 0 = 5*k - 3*p + 8*p + 15. Let t be (k - -1)\/((-6)\/(-4)). What is the common denominator of -61\/12 and t\/(-14)*275\/10?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 1. Suppose 8 = x*m + m. Let h be (1\/(-4) + 0)*-6. Are m and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 less than 229905.66?\nAnswer: 229905.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 2 w, and 1 f when four letters picked without replacement from lulwlffnvww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-360)\/(-45)*136\/64?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -45886468.\nAnswer: 1\/11471617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3175448 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 9. Let o(m) = -h - 20*m + 0 + 25*m + 11*m**2. Let a be o(3). What is the highest common factor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11.6 and -0.3?\nAnswer: -3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -6885516*o**2. Let m(p) = 2*p. What is m(h(v))?\nAnswer: -13771032*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 234 is divided by 128.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - b. Let u(r) = 5*r**3 - 8*r**2 - 8*r + 3. Let a(q) = 6*t(q) - u(q). What is the units digit of a(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times 648704?\nAnswer: 129740.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate ((120\/9)\/(-5))\/(8\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 - 13*o**2 + o - 13. Let m be k(13). Suppose m = 7*x - 272 - 344. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -11 + 5 + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -3*k - 2 + 7*k**2 + 9*k**2 - 1 - 1. Is f(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -56.2 - -55.7. Which is the third biggest value?  (a) -3\/4  (b) 596  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + 3 + (0 - 0). Solve i + 11 = -u - u, 2*i + c = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10260)\/(-30))\/(-19)*(-16)\/180?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(2\/11))**(9\/4)*k**(-23)\/(k\/k**(2\/3)) assuming k is positive.\nAnswer: k**(-2729\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21 - -27. Let a be 2\/m + (-320)\/(-48). Let f(p) = p - 4. Let z be f(a). Let j(w) = -w**3 + 4*w**2 - 3*w + 3. What is j(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 + 3*g + 3. Let a be y(-3). Let d(i) = -2 + i + 4 + a - 4. Give d(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 15*v**2 - 63*v + 30. Let c(l) = l**2 - 2*l - 2. Let g(b) = 18*c(b) - q(b). Factor g(r).\nAnswer: 3*(r - 2)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.31 in -2\/7, 3\/8, -2\/11?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1027*l - 611*l + 1236*l - 134056 = 887*l for l.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*r - 9*r + 30. Let a(s) = 70*s - 7 + r - 11*s. Let h(p) = p**2. Determine h(a(l)).\nAnswer: 3481*l**2 + 354*l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(48)\/sqrt(2) + sqrt(24))\/sqrt(8))**2*4.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1373 - 3373. Is 25 a factor of d\/((-35)\/7) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -4*v**3 - 4*v**2 - 3*v. Let n be i(-2). Let u = n - 28. Does 23 divide (u\/(-4))\/(18\/564)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from {h: 1, n: 10, z: 1, g: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 2\/3 - 2\/3*r**2 - 2\/3*r**3 + 2\/3*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*b - 13*b + 19*b as z*b + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -48*z + 52*z - 5 - 31 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 6975537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -2 + -3*(-2 + 1*sqrt(1452) - sqrt(1452))*6)**2.\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-38 - -41) + 2 + -5 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 198168 and 14.6.\nAnswer: 2893252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*l - 4*y - 8, 10*l - 7*y + 1123 = 1125 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 745*z + 1428. Determine y(-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 21 = -4*w, -19 = 2*y - 9. Solve w*p = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -182453 (base 10) to base 5.\nAnswer: -21314303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 14741523 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from gofqfffo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2*i**2 - 4*i + 1. Let o be n(3). Let m be 6 - (11 + (-900)\/168) - 1\/(-7). Which is the closest to o?  (a) m  (b) 1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 - 6*f**2 + 10*f - 3. Let p be z(4). Suppose 5337 = p*c - 2758. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23872501*z**3 - 47744967*z**3 + 23872465*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 21*y + 461. What is the hundreds digit of k(61)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 19*g - 27*g - 66*g - 2 + 32*g in the form v + t*g and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.299*-1835\nAnswer: -548.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 0.1  (b) -1  (c) 0.3572\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in -1\/9, 0.3, 1, 3\/7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 217 + 169 = 2*b + o, -192 = -b - o. Suppose 6 + b = 5*l. Suppose 10 = -3*n + l. Solve 0*w + 2*w + n = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 1123100932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(4\/93)*(44 + -6 - (-9048)\/(-234))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2743 (base 8) to base 15.\nAnswer: -6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -7 + 7 + 50*g**2 - 47*g**2. Let b = 24 - 17. Let q(m) = b*m**2 - 7*m + 7*m. Determine q(c(a)).\nAnswer: 63*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 + -16 + (3 - (-36 + 15)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147 + 70 = 23*a - 31 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1307536243*u**2 - 896623759?\nAnswer: -2615072486*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l**3\/5 + 26*l**2 - 68*l\/5 - 66\/5 = 0. Calculate l.\nAnswer: -33, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 13*p + 2. List the prime factors of v(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 234932 divided by -4?\nAnswer: -58733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*h**5 + 17*h**4 - 26645*h**3 + 2*h**2 + 3*h - 1486875 wrt h.\nAnswer: -240*h**2 + 408*h - 159870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 2\/125 of a millisecond?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 + 17*u + 24. Let y(r) = r**2 + 6*r + 11. Let q be y(-7). Calculate b(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8a833 (base 11) to base 8.\nAnswer: 400562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 >= 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -9*b + 4*b. Let y be b + -3 + 5 - -22. What is the greatest common divisor of y and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1168766449 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -51569.5 rounded to the nearest 1000?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001755685 to 6 dps.\nAnswer: -0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3733.3908 and -32.\nAnswer: 3701.3908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 28310153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/4)*m)\/m*m**(1\/2)*m)**(-12\/17)*m**40\/m**(2\/27) assuming m is positive.\nAnswer: m**(17921\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 460683393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 0 + -8 + (14305 - 14170)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -51.5 + 102.1. Let o = 45.58 - g. What is o rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + 17*a**2 + a - 19. Let v be p(-17). What are the prime factors of (v\/(-27))\/(2\/72)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 77\/10 + -15\/2. Which is the fifth biggest value?  (a) -421  (b) 0.3  (c) -0.2  (d) -3\/2  (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 16*h**3 - 18*h**2 + 262*h - 25. Let s(c) = -19*c**3 + 19*c**2 - 261*c + 30. Determine 6*d(g) + 5*s(g).\nAnswer: g**3 - 13*g**2 + 267*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -90 divided by -1300?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.023 + 5.023. Let j = 2 + -1.9. Let g be (14\/(-21))\/(8\/(-3)). Which is the closest to j?  (a) g  (b) r  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -500499 by -9.\nAnswer: 55611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + 1 - sqrt(19)) + sqrt(57)\/sqrt(3) + 2 + sqrt(19))**2.\nAnswer: 18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 97.02 - -0.98. Let l = -97.515 + m. Let a = l + -0.4451. What is a rounded to 3 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1253b (base 12) to base 3\nAnswer: 1021020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (((6*(sqrt(1100) + sqrt(1100) + -2 + sqrt(1100)) + sqrt(1100))*3)**2 - (1*sqrt(1100)*1 + (0 + sqrt(1100) + 5)**2)).\nAnswer: -41150*sqrt(11) + 3574076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Is -3 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -48*f**2*i + 33*f*i**2 + 77903*i**2 wrt f.\nAnswer: -96*f*i + 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**6\/(n*n*n**(2\/25)\/n*n)*n**(-2\/3)\/n**19 assuming n is positive.\nAnswer: n**(-1181\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 5*r - 1 + 5)*(-3514*r + 3514*r - 4917*r**2).\nAnswer: 24585*r**3 - 4917*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6*((-14)\/4)\/(-7). Let l = 0 + b. Suppose -83 = -5*d + g + l*g, -12 = -4*g. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 6 = -3*q + 3*x, -5*x + 4 = 3*q. Let t be (2\/5)\/(q\/(15 - 0)). Solve 0 = -t*k - u - 4*u + 12, -16 = -4*u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 11, k: 3}. Give prob of sequence kqq.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -31253, -62531, -93819, -125123, -156449, -187803, -219191?\n\"Answer: -w**3 + w**2 - 31274*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 32\/24*((-108)\/3)\/3. Let b = 22 + j. What is the least common multiple of b and (1\/(1\/(-8)))\/(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that t**4\/2 - 2681*t**3\/2 + 899140*t**2 - 897800*t = 0.\nAnswer: 0, 1, 1340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18983 - 2220989\/117. Let t be 3 - (-3226)\/(-1170) - (-10)\/(-25). Let x = t + m. Is x equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 0.1, 2.9 in descending order.\nAnswer: 2.9, 2, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190067 is divided by 2381?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 249778074 and 38427396.\nAnswer: 499556148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 34.119444 take away -590?\nAnswer: 624.119444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - 1625?\nAnswer: -162a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2460 minus 19.2?\nAnswer: -2479.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 172*v - 39*v + 7 - 37*v - 33*v - 65*v.\nAnswer: -2*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -137, -273, -435, -635, -885?\n\"Answer: -2*y**3 - y**2 - 119*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10243 times 56.559?\nAnswer: 579333.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 - 59*t**2 - 454*t - 195. Let k be q(-50). Solve 0 = k*r + 109 - 94 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 2*g - 1. Let f be t(-4). Let i be (f\/3 + -1)*-3. Sort -2, i, 3.\nAnswer: i, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 3*i = -6, -5*r + 5*i = -12 + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -3*n + 26. Calculate the remainder when k(-22) is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/50)\/((-17)\/170)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 5  (b) -2  (c) 2  (d) -1464\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.056 - 0.056. Which is the nearest to 0.4?  (a) 1.1  (b) 0  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + (-6 - 3\/(-3)). Let k = 4 + n. Calculate the lowest common multiple of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/4450 and -119\/534.\nAnswer: 13350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20101012 (base 3) to base 9.\nAnswer: 6335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 187*b - 3175 + 1118 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (16\/(-40))\/((-1)\/420) and 560?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5963365?\nAnswer: 5, 1192673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 AM and 11:54 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/5)*j)**(-1\/6)\/(j*j\/(j\/j**(-1)))**50 assuming j is positive.\nAnswer: j**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*b - 27*b = 5*q - 105, -2*b + q + 0*q - 30 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14)\/6 - (-1)\/3. Is ((-475)\/10)\/(v\/8) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 - 10*k**2 - 47*k + 64. Let w(a) = a**3 - 11*a**2 - 46*a + 62. Let l(f) = 3*v(f) - 4*w(f). Is l(16) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13959 divided by -4653\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -16252  (b) -0.03  (c) 0.046  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12087 + -12076. Are 391\/38 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 2*x = -6, -x - 4 = y - 0*x. Sort -1, 5, y.\nAnswer: y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-30)\/(-5))\/(-17*(-12)\/1768)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 4*w + 5*w**2 + w**2 - 5*w**2 + 0*w. Let r(q) = -q. Let x(a) = -6*r(a) - t(a). Suppose 56*m - 55*m = 2. Calculate x(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of -o**4\/4 - 4*o**3 - 17*o**2\/2 - 15*o + 1. Is p(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - w**2 - w - 2. What is the remainder when g(3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 42*c**3 + 17*c + 98. Let u(i) = 14*i**3 + 6*i + 33. Let x = -250 - -233. Let r(m) = x*u(m) + 6*d(m). Differentiate r(a) wrt a.\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/(-10))\/(14\/(-70)). Suppose -4*p + 4*w + 40 = 0, -7*w + j*w = -3*p + 38. Solve -u = -p*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -3*d. Let a(c) = 4147*c**2. What is a(j(p))?\nAnswer: 37323*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10861319*a**5*i - 13*a**2*i + 2756*a**2 + 29*i wrt a?\nAnswer: 651679140*a**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -62*r + 14. What is the closest to -0.2 in 1.1, 0, 0.1, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 7 + -4 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 13 - 3. Suppose -j*y = -y - 38. Suppose i = u - 19, -3*u - i + y = -7. What is the smallest common multiple of u and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13298 - 13312.6096. Round k to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 84, 100, 122, 144, 160, 164?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - 5*q**2 - q + 5. Let d(b) = -3*b**2 + b**2 + 3*b**2 - 1. Let h(l) = -5*d(l) - g(l). Find the second derivative of h(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4560576 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2458838829?\nAnswer: 3, 67, 307, 39847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -1) + 15 + -10 + -2234 + 2260?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 13158950 rounded to the nearest one hundred thousand?\nAnswer: 13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)\/(-2*sqrt(162)))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 4*r**2 - 5*r + 9. Let v be ((-3)\/9)\/(-1 - 14\/(-15)). Calculate the remainder when 33 is divided by s(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9248316 and 6605940.\nAnswer: 46241580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b - 3. Let l be s(4). Suppose 6*t - 2*t - 23 = 3*d, -5*d = -l*t + 30. Which is greater: -6\/115 or d?\nAnswer: -6\/115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23\/171749 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*n - 294 = -0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18360458.538 + 18361139.53801176. Let r = -681 + n. Round r to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 6*k**2 + 12*k - 48. Let i be w(12). What is i rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c + 14. Let s be y(-11). Let z(v) = v**2 - 4*v + 3. Let b be z(s). Suppose b = 3*o - 26 - 34. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -24*t. Let u(q) = 5*q**2. Calculate u(s(p)).\nAnswer: 2880*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of l**4\/6 - 6*l - 5. Let w(b) be the first derivative of h(b). Let q(r) = 10*r. What is q(w(y))?\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -47*u**2. Let l(v) = -2*v**2. Determine i(l(k)).\nAnswer: -188*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + v = 5, 0 = -10*h + 5*h + v + 15. Suppose -b - h*b + 9 = -3*a, 4*b + 3*a = 47. What is the smallest common multiple of 14 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4335 and 830025.\nAnswer: 14110425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rko when three letters picked without replacement from {r: 1, o: 5, k: 4, j: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 q when three letters picked without replacement from {b: 5, q: 4, j: 1, k: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.92 + 2\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.314, 3, -1\/6 in ascending order.\nAnswer: -1\/6, 0.314, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -5305 times -0.05\nAnswer: 265.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + w + 5*w + w = 5*w + 22, -6*g + 1373 - 1399 = 4*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -41783996 rounded to the nearest 100000?\nAnswer: -41800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1224055919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -3.9. Let l = 0.08 - a. Let u = l + 0.12. What is the biggest value in u, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2532607 + 3?\nAnswer: -2532604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1086 is divided by 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 62 = 2*j, -5*r - 3*j + 146 = j. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -121 and -2173.\nAnswer: 262933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*n - 864 = -61*n. Suppose -5*d = -61 - n. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*-287\nAnswer: -1435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 54?  (a) -17  (b) -5  (c) 1  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (39\/(-91) - (-4)\/(336\/(-20)))\/((-48)\/72).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -71469*s**3*x**3 + s**3*x**2 + 2*s**2*x**2 - 3*s*x**3 - 548*s - 2 wrt s?\nAnswer: -428814*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 1\/5, -1279452, -1?\nAnswer: -1279452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*p**2 - 4*p**3 + 5*p**2)*(4 - p - 4 + (-2 + 3 + 1)*(2 - 2 - p) + 1 - p - 1).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-2 + -4 - -14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 3266*o**3 + 2.\nAnswer: -3266*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3922161 millimeters in meters?\nAnswer: 0.0003922161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1127 - 1090) + -45 + -3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(50) + 1 + 3 + sqrt(200)\/sqrt(4))**2.\nAnswer: 160*sqrt(2) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5169 is divided by 2572.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of -o**5\/60 + 5*o**4\/12 + 73*o**3\/2 - 39*o**2. Is 34 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + -49 - ((-4 - 0) + 8 - 9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 50858360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 - 3*h. Let c be y(4). Let b(t) = -t**2 + 5*t**2 - t**2 - c*t**2 - 2 - 6*t. What is b(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*1 + (-560)\/210 - 19773\/5967?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 1320 = -15*w. What is the common denominator of 103\/30 and (w\/55)\/(-6) + 217\/(-198)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3*x**2 + 2 + x**2 + 4*x**2 - 4*x**2 - 1 + 1 - 2*x**2 + (0*x**2 - 2*x**2 + 4*x**2)*(3 + 1 - 2))*(-2*x + 10 - 10).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 81787*n*t**3 - 11*t**3 - 984*t**2 wrt n.\nAnswer: 81787*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -3*(sqrt(850)*3)\/(2*sqrt(162)))**2.\nAnswer: -25*sqrt(17) + 525\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 507.05 + -507.1. What is the fifth biggest value in -2\/7, -0.2, -7, -1\/4, h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d = -4*d. Suppose d*k = 4*k + 16. Calculate the remainder when 58 is divided by (k + 4)\/1 - -30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-474))\/(176\/(-6072)*46)*-1\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12*j**2 + 6*j**2 + 7 - 3*j**2 wrt j.\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h - 14. Suppose -7 = -5*j + 18. Suppose w - 3*f - 4 = 0, 29 + 13 = j*w - 4*f. Is r(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82937?\nAnswer: 197, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -48a (base 13) to base 11\nAnswer: -659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*q - 2*q**2 - 2*q + q**3 + 0*q**3 to l*q + a + u*q**3 + d*q**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of -p**8\/672 + p**7\/210 + p**6\/80 - p**5\/30 - p**4\/12 - 34*p**2 - 10*p. Let h(l) be the first derivative of a(l). Factor h(w).\nAnswer: -w*(w - 2)**2*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 249 = 248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2*r**2 - 3*r + 2. Let l be q(2). Suppose -l*d = 5*y - 362, -4*y + 2*d + 250 = -50. Which is smaller: 77 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5020.606 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 8  (b) 733  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93 = 5*s + 77, 4*l - 52 + 19 = -4*s - 161 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6857308864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 - 26.77599542815?\nAnswer: -26.27599542815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 22\/117 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 2)*(-a**5 + a**5 - 4*a**5)*(2 + 4 - 5) + 11*a**2 - 11*a**2 + 31*a**5 + (-a + a + a**2)*(4*a**3 - 2*a**3 - a**3) + 2*a**3 + a**5 - 2*a**3.\nAnswer: 37*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 8697.6\nAnswer: 8697.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vlvv when four letters picked without replacement from {v: 12, l: 7}.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0589700259 and -87.\nAnswer: -86.9410299741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.45 minus 4015243?\nAnswer: -4015242.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14424 + -1.217603.\nAnswer: -14425.217603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 3*q = -5*n - 583, -5*n + 2*q - 2830 = 0. Let k = -334 - n. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 1440425*a - 2880851. What is b(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -o**4\/6 + o**3 - 5*o**2\/6 - 2*o = 0.\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*y**2 + 10*y**2 + 15*y**2 as w*y**2 + f*y + a and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 - 26*g + 12. Determine a(-17).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 - 1)*(-4*t + t + 0*t).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + -5. Let i(a) = 3*a - 8. Let u be i(6). Solve -d*f + u = 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 229 or -82135?\nAnswer: -82135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than 1\/6262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 2:34 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (5 + sqrt(80))*3 + (4*sqrt(60)*-2)\/sqrt(12).\nAnswer: 4*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d*d**(-1\/2)*d))\/d*d)\/(d*d**(1\/2)))\/(d\/(d*d*d\/(d**(2\/5)\/d*d)*d*d)*d**11) assuming d is positive.\nAnswer: d**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -35904708 divided by 427437\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x**5\/8 + 93*x**4\/8 - 353*x**3\/8 + 451*x**2\/8 - 30*x + 11\/2 = 0 for x.\nAnswer: -22, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvuupvkuvpubjpvpjj. Give prob of picking 1 k and 1 b.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*q - 11*q + 129*q + 40*q - 13662 = 0 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 77c58 + -1a2?\nAnswer: 77a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-55)\/(-20)*(-2)\/(-11)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -777.483 + 1.483. Let u = -746381230 + 746380454.000437. Let q = v - u. What is q rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -63*n**4 + 3 - 2*n + 2 + 32*n**4 + 29*n**4 to y*n**4 + s*n + u*n**2 + f*n**3 + k and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*r**3 - 676*r**2 - 796*r + 984.\nAnswer: -4*(r + 2)*(r + 41)*(4*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/101, 1\/2, -3, 11.81, -0.3?\nAnswer: 11.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 AM and 9:55 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1 + 0.1. Suppose w = -3*s - 11, -2*w - s + 111 = 113. What is the third biggest value in w, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**2 - 18*d + 2. Let q(c) = 265*c - 7412. Let t be q(28). Calculate a(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*i**4 - 519889*i**3*z + 216*i**2*z + 54*i**2 - 3*i*z - 3*z + 3 wrt i?\nAnswer: 480*i - 3119334*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - 7*x - 6. Let t be c(-5). Let k(d) = t - d**2 - 2 - 45*d + 46*d. Let b be k(0). Solve -b*o + 3 = 5*m, -3*m + 3 = o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 2. Let g be (-22)\/297 + 415\/135. Solve -k = -2*d - j, k - g*d + 0*d = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2500 - -2496. Which is the nearest to 28?  (a) 0.3  (b) -6\/5  (c) j  (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1376*h**4 - 36*h**2*i**2 + 2439743*i**2 wrt h.\nAnswer: -5504*h**3 - 72*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5749659852 to the nearest integer?\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -21. Let l = m + -14.1. Let t = -0.3 + 0.5. Which is the nearest to l?  (a) t  (b) -3  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 187\/(-17)*38\/(-88)*4. Solve 99 = s*c - 53 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 17 + 21 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -19, -24, -27, -28?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 45, 3\/5, -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 3278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d - 1. Let i(r) = -r**3 - 3*r**2 - r + 4. Let b be i(-2). Let a be c(b). Calculate the greatest common divisor of 55 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 73027 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 974487.2 nanometers?\nAnswer: 0.9744872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1602*g + 2247 - 459*g**2 + 233*g**2 + 228*g**2 + 117*g wrt g.\nAnswer: 4*g + 1719","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -12, 3, -5, 1 in ascending order.\nAnswer: -12, -5, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 96\/5*(5 - 0). Let q = -10 + 6. Let a be q\/22 - l\/(-44). Which is smaller: 3\/4 or a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 PM and 1:20 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -7, -2\/3, 0.5, -2, -2\/39?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 take away -1031?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 15*c**2 + 478*c - 38. Determine k(-32).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 35*n**2. Let x(l) be the first derivative of -4*l**2 - 63. Determine u(x(t)).\nAnswer: 2240*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 167.998 millilitres to litres.\nAnswer: 0.167998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1392, 6694, 15910, 29040, 46084?\nAnswer: 67042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 0, -23, -60, -111, -176, -255, -348?\n\"Answer: -7*w**2 - 2*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -121\/4  (c) -96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/3979521 or -1?\nAnswer: -1\/3979521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -21*l**3 + 2*l**2 - 2*l - 2. Let x(v) = -v**2 + v + 1. Determine b(k) + 2*x(k).\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 130, 885, 2840, 6571, 12654, 21665?\nAnswer: 34180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 17\/2  (b) -2  (c) 0.4  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 2*u**2\/3 - 56660*u\/3 - 851250 = 0.\nAnswer: -45, 28375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-120)*9*6\/(-9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49.85449km to centimeters.\nAnswer: 4985449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3 or 9790166?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*0.05755.\nAnswer: -0.02302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -230 divided by -5?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 230009816 divided by 8?\nAnswer: 28751227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*w = -42 + 54 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -12*((-20)\/6 + 3). Suppose 0 = k*v - 4. What is the greatest common divisor of v and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 0*t = -4*t + 380, 4*o = 4*t + 356. Suppose -102 - o = -d. What is the remainder when d is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjyjjyj. What is prob of sequence jj?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13501.\nAnswer: 23, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 46.412198 - -1149969.\nAnswer: 1150015.412198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -73.433935 rounded to two decimal places?\nAnswer: -73.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**3\/9 - 17392*j**2\/3 + 34786*j\/3 - 52180\/9.\nAnswer: -2*(j - 1)**2*(j + 26090)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 289200709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1\/9*v**3 + 0*v - 5\/9*v**2 + 5\/9*v**4 + 0 - 1\/9*v**5 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 2*l - 15. Let s be (-76)\/180 - 1\/l. Let z be 5 + -3 - ((-15)\/(-55) - -1). What is the biggest value in -4, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -v - 15, -5*l - 89*v = -84*v + 90 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**3 + 77*j**2 + 78*j + 164. What is h(-76)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26263.22 milligrams to grams.\nAnswer: 26.26322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -5470563.416 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -38  (b) 2  (c) -2\/7  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10376 or 747151\/72?\nAnswer: 747151\/72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 50 = 3*q. Suppose 3*u - 11 = q. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*(28\/(-8))\/(-7))\/((-7)\/(-28))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5876\/3 + 575977\/294. What is the common denominator of -77\/30 and o?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 286\/(-230) + (-144)\/(-120) + 1862\/(-23)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13646 - 79*a + 13646)*(2 + 1 - 4 + (0 - 3 + 0)*(2 + 2 + 5)).\nAnswer: 2212*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 9640.641 milligrams?\nAnswer: 0.000009640641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(189)\/sqrt(112) - (sqrt(3267)*-2)**2.\nAnswer: -13068 + 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 992358 and 61410?\nAnswer: 441599310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*g**2 + 8010*g**3 - 5*g**2 + 5*g**2 + 7249*g**3.\nAnswer: 15259*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12\/(-10)*850\/(-51). Solve 5*y - p = -0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*u - 94 = 51*u - 454 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -41735 - -60062. What are the prime factors of p?\nAnswer: 3, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccww when four letters picked without replacement from wwccwwc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 183 = -6*v + 141 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83096*y**2 + 83077*y**2 + 83087*y**2 - 249268*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, -9, -22, -41, -66, -97, -134?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 388 divide 274522316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8115 and 99765.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 582*-0.2.\nAnswer: -116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16078?\nAnswer: 2, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 4 + 16 = 0. Suppose 2*g - g - 2 = 0, 0 = -j*z - 4*g + 8. Let i be 1\/1*(-4 - z). Are -5 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 13\/3 + (-6)\/(-9). Suppose 0 = g*n - 4 - 6. List the prime factors of n\/(-3)*(-1 + -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 332303 (base 4) to base 11.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*88\/(-32) + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3699 + -3699. Solve i = -s - 516 + 513 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9176400 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 12 = -0*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2045345014 - -20?\nAnswer: -2045344554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2140184191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/24 and 7\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 11) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 7*y + 4. Let i(b) = -48*b - 27. Let c(s) = 27*f(s) + 4*i(s). Let n(m) = 2*m**2. Determine c(n(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -0.1  (c) 3\/353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(192) + -1)*-3)**2.\nAnswer: -144*sqrt(3) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9430305?\nAnswer: 3, 5, 628687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i - 5. Let g(p) = p + 345. Give -g(c) - 2*o(c).\nAnswer: c - 335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -17*u - 70. Let w be m(10). Let s be 108\/w*(-5)\/(-6). What is the nearest to -1\/2 in 0.3, -1\/2, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 47515.617 nanoseconds?\nAnswer: 0.0000000131987825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001000100 + 10100001?\nAnswer: 1011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*k - 9*k + 3*j - 16 = 0, -4*k = -4*j + 28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151 is divided by ((-5)\/(-10))\/(-3 - (-687)\/228).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}